The velocity of the stone after 3 seconds have passed can be calculated using the formula v=u + at, where v is the velocity, u is the initial velocity, a is the acceleration (in this case the acceleration due to gravity, which is 9.8 m/s2), and t is the time. Therefore, the velocity of the stone after 3 seconds have passed will be 5.6 + (9.8*3) = 23.4 m/s.
The acceleration due to gravity causes any object to accelerate as it moves. This acceleration is always constant and acts downwards. Therefore, an object thrown with an initial velocity of 5.6 m/s will continue to accelerate and its velocity will increase. After 3 seconds have passed, the object will have an increased velocity of 23.4 m/s. In addition, when the stone is thrown off the bridge, it is subject to air resistance, which works against the stone and causes it to slow down. The magnitude of air resistance is dependent on a number of factors, such as the shape and size of the object. As such, the stone's velocity after 3 seconds might be slightly lower than the calculated value of 23.4 m/s.
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a series circuit is a current divider and a parallel circuit is a voltage divider circuit. select one: a. true b. false
The given statement " A series circuit is a current divider and a parallel circuit is a voltage divider circuit " is True
In a series circuit, the electric current is the same through each component, and the total current is equal to the sum of the currents through each component. Therefore, the current is divided among the components.
In a parallel circuit, the potential voltage across each component is the same, and the total voltage is equal to the sum of the voltages across each component. Therefore, the voltage is divided among the components.
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an airplane flying horizontally with a speed of 500 km/h at a height of 800 m drops a crate of supplies. if the parachute fails to open, how far in front of the release point does the crate hit the ground? use si units.
If the parachute fails to open, 5609 m far in front of the release point does the crate hit the ground.
Break the motion of particle into two direction
1) vertical direction
2) horizontal direction
in vertical direction = [tex]V_{oy}[/tex]=0 m/s a=-9·8 m/s2
= Y = -800m t = time fraud
Y = [tex]V_{oy}[/tex] t + 1/2 at^2 = -800 = 0 + 1/2(-9.8)(t^2)
so, t = 12.785
in horizontal direction = [tex]V_{ox}[/tex] = 500 x 5/18 +300= 438.39m/s
t = 12.7885 & x = distance From releasing point
So, x = [tex]V_{ox}[/tex] t = (438.89) (12.78) = 5609m
X = 5609 m
The motion of a particle refers to its movement in space with respect to a particular reference point. This can include its speed, direction, and acceleration. There are several types of motion that a particle can exhibit, such as uniform motion, where it moves in a straight line with a constant speed, or non-uniform motion, where its speed changes over time.
A particle can move in a circular path, which is called circular motion, or it can move back and forth along a straight line, which is called oscillatory motion. The motion of a particle can be described using mathematical equations such as velocity, acceleration, and displacement. These equations help to quantify the particle's motion and provide insights into its behavior.
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A concave lens is shown here. According to the model, a lens disperses rays after passing through it. Which item below most likely uses a concave lens to perform its typical function?
The item that most likely uses a concave lens to perform its typical function is a concave lens .
What is a concave lens?A concave lens is a lens that is thinner at the center and thicker at the edges, causing it to diverge parallel rays of light.
How is a concave lens used in a camera?A concave lens is used in a camera to allow the photographer to adjust the focus of the camera by moving the lens closer to or farther away from the film or sensor. When the lens is moved closer to the film or sensor, it increases the distance between the lens and the object being photographed, causing the image to appear larger and bringing objects into focus that were previously blurry.
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What would you expect the force to be if the distance was 30 meters? How did you come up with your answer?
The force would be 6 Newtons for a distance of 30 metres.
What connection exists between distance and force?A force is defined as any influence that results in a change in an object. Distance is the amount of distance that an object moves over time. A force is applied to an item, and the more force is applied, the farther the thing will move.
What is distance-based force?Action-at-a-distance forces are those that develop even when the two interacting objects are not in close proximity to one another but are nevertheless able to push or pull against one another despite this physical gap.
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if the same horizontal net force were exerted on both vehicles, pushing them from rest over the same distance, what is the ratio of their final kinetic energies?
If the same horizontal net force were exerted on both vehicles, pushing them from rest over the same distance, then the ratio of their final kinetic energies is 1:2.
According to the Work-Energy principle, the net work done on an object is equal to the change in its kinetic energy. This principle states that the work done on a particle is equal to the change in its kinetic energy. We can then conclude that the final kinetic energy of an object is equal to the work done on it by the force acting on it.
Therefore, when the same horizontal net force is exerted on both vehicles, pushing them from rest over the same distance, the amount of work done is the same for both vehicles. Hence, their final kinetic energies will be proportional to their masses because the formula for kinetic energy is KE = 1/2mv². The ratio of the final kinetic energies of both vehicles can be calculated as follows:KE1/KE2 = (1/2mv1²)/(1/2mv2²) = (v1/v2)². Here, v1 and v2 are the final velocities of the two vehicles. Since both vehicles are pushed over the same distance, their final velocities will be proportional to the square root of their masses, so the ratio of their final kinetic energies will be 1:2.
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TRUE/FALSE. when air masses of different densities collide, the less dense air mass is forced to rise through frontal lifting.
TRUE. When air masses of different densities collide, the less dense air mass is forced to rise through frontal lifting.
In meteorology, a front is a transition area between two air masses of different densities. The atmosphere's temperature, moisture content, and wind direction are all influenced by these air masses. The types of fronts are warm, cold, stationary, and occluded fronts. The front types are determined by the characteristics of the air masses and the direction of their movement. The types of the front are Warm front: When a warm air mass replaces a cold air mass, it is called a warm front. Warm fronts typically move more slowly than cold fronts. Cold front: A cold front happens when a cold air mass replaces a warm air mass. They have steeper pressure gradients than warm fronts, and they travel faster. Rain, thunderstorms, and cold temperatures are all common with this type of front. Stationary front: This occurs when two air masses meet and neither advances. There is a lot of rain along the stationary front. Occluded front: This is a type of front that develops when a cold front overtakes a warm front. When the cool air catches up to the warm air, an occluded front forms. The fronts can cause precipitation to fall.
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the generation of multiple forecasts of future conditions followed by an analysis of how to respond effectively to each of those conditions is
The process described in the question is known as scenario planning. It is a strategic planning method that involves generating multiple plausible scenarios of future conditions and analyzing the potential impact of each scenario on an organization or a system.
Scenario planning is a useful tool for decision-making, risk management, and identifying opportunities in an uncertain or rapidly changing environment.
By developing a range of scenarios, decision-makers can anticipate potential challenges and opportunities and develop strategies to respond effectively to each situation.
This approach allows organizations to be better prepared and more resilient in the face of future uncertainties. Scenario planning can be applied to various fields, including business, economics, environmental planning, and public policy.
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it takes 475 j of work to compress a spring 12 cm. what is the force constant of the spring (in kn/m)?
The force constant of a spring, or spring constant, is 3958.33 kn/m
The force constant of a spring, or spring constant, is a measure of the stiffness of a spring.
The force constant of a spring, the equation F = kx is used, where F is the force applied to the spring, k is the force constant, and x is the amount of displacement.
The force applied to the spring is 475 j and the displacement is 12 cm.
k = F/x = 475 j/0.12 m = 3958.33 kn/m
This means that for every 1 meter the spring is displaced, it exerts a force of 3958.33 kn. The higher the force constant, the more stiff the spring is, meaning that more force is needed to displace the spring.
A spring with a lower force constant is more flexible, meaning that less force is needed to displace it.
The force constant of a spring is an important factor to consider when designing mechanical systems, as it determines how much force is needed to displace the spring.
It is also important for predicting the amount of force a spring can apply to a given displacement, which is necessary for applications such as machines and vehicles.
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use the impulse-momentum theorem to find how long a falling object takes to increase its speed from 4.23 m/s to 10.47 m/s?
The time it takes the object to fall through the change in speed using the impulse-momentum theorem is 0.62 seconds.
What is impilse-momentum theorem?
The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse exerted on it.
To calculate the time it takes the object to increase it speed using the impulse-momentum theorem, we use the formula below.
Formula:
Ft = m(v-u)Ft/m = (v-u)Recall that F/m = acceleration. Therefore,
at = v-ua = (v-u)/t.......................... Equation 1Where:
a = Acceleration due to gravityv = Final velocityu = Initial velocityt = TimeFrom the question,
Given:
v = 10.47 m/su = 4.23 m/sg = 9.8 m/s²Substitute these values into equation 1 and solve for t
9.8 = (10.27-4.23)/tt = (10.27-4.23)/9.8t = 6.04/9.8t = 0.62 secondsHence, the time it takes the object to fall is 0.62 seconds.
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a child stands with each foot on a different scale. the left scale reads 200 n and the right scale reads 250 n. what is her mass in kg? the acceleration due to gravity is 9.8 m/s2? group of answer choices 36 kg 350 kg 3430 kg 45.9 kg
The mass of the child is 45.9 kg. Therefore, the answer is option D.
Given that a child stands with each foot on a different scale, the left scale reads 200 N and the right scale reads 250 N. To find the mass of the child, we need to use the formula: Weight = mass × acceleration due to gravity (w = mg). The acceleration due to gravity is 9.8 m/s². Therefore, the weight of the child on the left scale is w1 = 200 N, and the weight of the child on the right scale is w2 = 250 N. We can use these two weights to calculate the mass of the child. The sum of the weight of both scales will be equal to the total weight (w1 + w2 = W). Therefore, the total weight of the child is:
W = 200 N + 250 N= 450 N
We have the total weight of the child, and now we can calculate the mass of the child by dividing the weight by the acceleration due to gravity. Therefore, the mass of the child is:
m = W/g
= 450 N / 9.8 m/s²
= 45.92 kg
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the intensity of sound in a typical classroom is approxiamtely 10^-7 w/m2. what is the sound level for this noise/
The sound level for this noise is approximately 50 decibels.
Sound level is a logarithmic measure of the ratio between the sound pressure level of a particular sound wave and a reference level. The reference level is typically set at the threshold of human hearing, which corresponds to an intensity of 10^-12 W/m^2. The sound level (measured in decibels, dB) of a sound wave is given by,
L = 10 log10(I/I0)
where I is the intensity of the sound wave and I0 is the reference intensity, which is typically set at 10^-12 W/m^2.
So, for an intensity of 10^-7 W/m^2 in a typical classroom, we can calculate the sound level as,
L = 10 log10(I/I0) = 10 log10(10^-7/10^-12) = 10 log10(10^5) = 50 dB
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a 6 kg block is pushed 8m up a rough 37 degree inclined plane by a horizontal force of 75 n. the initial speed of the block is 2.2 m/s up the plane and a constant kinetic friction force of 25 n opposes the motion. calculate:
The final kinetic energy of the block is 308.98 J.
Let's solve the problem using the work-energy theorem.
Mass of the block, m = 6 kgDistance covered, s = 8 mForce, F = 75 NInitial speed of the block, u = 2.2 m/sAngle of inclination, θ = 37°Coefficient of kinetic friction, μk = 0.28The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy
W = ΔKE
Initially, the block is at rest. Therefore, its initial kinetic energy is zero.
Ki = 0
We have to find the final kinetic energy of the block. Hence, Kf = ?
Work done on the block
W = Fscosθ
Work done by the applied force,
F = 75 Ns = 8 mθ = 37°
W = Fscosθ
W = 75 × 8 × cos 37°
W = 451.27 J
Work done by the frictional force
Ff = μkFn
The normal force
Fn = mg
Fn = 6 × 9.8
Fn = 58.8 N
Here,
Ff = μkFn
Ff = 0.28 × 58.8
Ff = 16.51 J
Work of friction:
W = Ff × s
W = 16.51 × 8
W = 132.1 J
The total work done on the block,
Wtotal = W + Wfriction
Wtotal = 451.27 + 132.1
Wtotal = 583.37 J
According to the work-energy theorem,
Wtotal = ΔKE
ΔKE = Wtotal
ΔKE = 583.37 J
Final kinetic energy of the block
Kf = KEFinal
Kf = ΔKE
Kf = 583.37 J
Kf = 308.98 J
Therefore, the final kinetic energy of the block is 308.98 J.
Complete question:
A 6 kg block is pushed 8m up a rough 37 degree inclined plane by a horizontal force of 75 N. The initial speed of the block is 2.2 m/s up the plane and a constant kinetic friction force of 25 N opposes the motion. Calculate the fianl kinetic energy of the block.
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what kind of pressure prevents a white dwarf from collapsing?
Answer:
The type of pressure that prevents a white dwarf from collapsing is the electron degeneracy pressure.
What is a white dwarf?A white dwarf is a stellar remnant of a low or medium-mass star that has died, formed by a white dwarf supernova.
White dwarfs are composed of electron-degenerate matter, a type of fermionic matter that is extremely dense.The inward gravitational force of a star causes it to compress and heat up as its hydrogen fuel runs out. The temperature at the center of a star reaches a few million degrees Celsius, allowing the helium in the core to undergo nuclear fusion. The star's outer layers are blown away as a result of the fusion process, leaving behind a hot and dense core called a white dwarf. This core is not supported by internal fusion reactions, and its heat energy is gradually lost through radiative cooling.How does a white dwarf stay stable?
The white dwarf's stability is maintained by electron degeneracy pressure, which is the result of electrons being packed so tightly in the star's core that they are forced to behave like a gas, rather than a collection of individual particles.
The quantum mechanical Pauli exclusion principle governs the behavior of these electrons, which prohibits two fermions from occupying the same quantum state at the same time.
As a result, each electron is forced into a higher-energy state, resulting in a pressure that resists gravitational compression.
Therefore, the type of pressure that prevents a white dwarf from collapsing is the electron degeneracy pressure.
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a square loop 5 cm on each side carries a 500 ma current. the loop is within a uniform magnetic field of 1.2t. the axis of the loop, perpendicular to the plane of the loop, makes an angle of 30 degrees with the b field. what is the magnitude of the torque on the current loop?
The magnitude of the torque on the current loop is calculated using the formula τ=BIA sinθ, where B is the magnitude of the magnetic field, I is the current, A is the area of the loop, and θ is the angle between the magnetic field and the loop's plane. In this case, the magnitude of the torque is τ = (1.2 T)(0.5 A)(5 cm x 5 cm)sin(30°) = 7.5 x 10-3 Nm.
The torque is the rotational force that causes the loop to rotate. This is due to the fact that a force is exerted on the loop by the magnetic field when there is a current running through it. This force generates a torque on the loop, which will cause it to rotate until the angle between the plane of the loop and the magnetic field is 0°.
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how much electric power (in kw ) does the heat pump use to deliver 19.0 kj/s of heat energy to the house?
The electric power used by the heat pump to deliver 19.0 kJ/s of heat energy to the house is 3.50 kW.
To find out the electric power used by a heat pump to deliver 19.0 kJ/s of heat energy to the house, we need to use the formula: P = Q/t
where P is the electric power used, Q is the heat energy delivered, and t is the time taken to deliver that heat energy.
We know that Q = 19.0 kJ/s, but we don't know the time taken t, so we need to find that out.
The time t can be calculated using the formula:t = Q / m
where m is the rate of heat transfer of the heat pump.
We are given that the heat pump has a coefficient of performance of 3.5. This means that for every 1 kW of electric power used by the heat pump, it delivers 3.5 kW of heat energy to the house.
Therefore, the rate of heat transfer of the heat pump is:m = 3.5 kW / 1 kW = 3.5So, t = Q / m = 19.0 kJ/s / 3.5 kW = 5.43 s
Now that we know the time taken t, we can find out the electric power used P using the formula:P = Q/t = 19.0 kJ/s / 5.43 s = 3.50 kW
Therefore, the electric power used by the heat pump to deliver 19.0 kJ/s of heat energy to the house is 3.50 kW.
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find the equivalent capacitance of a 4.20-mf capacitor and an 8.50-mf capacitor when they are connected (a) in series and (b) in parallel
(a) The equivalent capacitance of the 4.20 µF and 8.50 µF capacitors when connected in series is approximately 4.2017 µF.
(b) The equivalent capacitance of the 4.20 µF and 8.50 µF capacitors when connected in parallel is 12.70 µF.
When two capacitors are connected in series, the equivalent capacitance is given by the formula,
1/Ceq = 1/C1 + 1/C2
where C1 and C2 are the capacitances of the two capacitors.
Substituting the given values,
1/Ceq = 1/4.20 µF + 1/8.50 µF
1/Ceq = 0.238 µF^-1
Ceq = 1 / (0.238 µF^-1)
Ceq = 4.2017 µF (rounded to four significant figures)
When two capacitors are connected in parallel, the equivalent capacitance is given by the formula,
Ceq = C1 + C2
where C1 and C2 are the capacitances of the two capacitors.
Substituting the given values,
Ceq = 4.20 µF + 8.50 µF
Ceq = 12.70 µF
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suppose an asteroid had an orbit with a semimajor axis of 4 au. how long would it take for it to orbit once around the sun? question 28 options: 2 years 4 years 8 years 16 years
It would take approximately 19.2 years for the asteroid to orbit once around the sun. But that none of the answer choices match the calculated value of approximately 19.2 years.
The period (T) of an orbit of a celestial body with semimajor axis (a) around the sun can be calculated using Kepler's third law:
T² = (4π² / GM) * a³
where G is the gravitational constant and M is the mass of the sun.
Plugging in the given value for the semimajor axis (a = 4 AU), we get:
T² = (4π² / (6.674 × 10⁻¹¹ m³/(kg s²) * 1.989 × 10³⁰ kg)) * (4 AU)³
T² = 3.652 × 10¹⁶ s²
Taking the square root of both sides, we get:
T = 6.04 × 10⁸ s
We can convert this time to years by dividing by the number of seconds in a year:
T = (6.04 × 10⁸ s) / (31,536,000 s/year)
T ≈ 19.2 years
Therefore, it would take approximately 19.2 years for the asteroid to orbit once around the sun. The closest answer choice is 16 years.
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an electron is each placed at rest in an electric field of 490 n/c. calculate the speed, mega m/s, 53.0 ns after being released.
The final speed of the electron placed at rest in an electric field of 490 N/C, after being released is -4.558 mega m/s.
Electric field = E = 490 N/C
The force acting on an electron in the electric field is:
F = qE, where q is the charge of the electron and E is the electric field strength.
q = -1.6 x 10⁻¹⁹ C (the negative sign indicates that the charge is negative).
F = qE = (-1.6 x 10⁻¹⁹ C) (490 N/C) = -7.84 x 10⁻¹⁷N.
The acceleration of the electron due to the electric field:
a = F/m = (-7.84 x 10⁻¹⁷N)/(9.11 x 10⁻³¹kg) = -8.6 x 10¹³ m/s².
According to the third law of motion, for every action, there is an equal and opposite reaction. This reaction force is the force of the electron on the source of the electric field, which is positive. Since the force is negative, the electron is accelerating in the opposite direction to the electric field direction.
The velocity can be found from the equation of motion, v = u + at
v = 0 + (-8.6 x 10¹³)(53.0 x 10⁻⁹) = 4.55 x 10⁶ m/s = 4.55 mega m/s.
The final speed of the electron is therefore -4.558 mega m/s.
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what two forces act on a monkey hanging stationary by a vertical vine? which force, if either, is greater?
Two forces act on a monkey hanging stationary by a vertical vine: gravity and the tension of the vine. Gravity is the greater force in this situation because it is a constant force that acts downwards.
The two forces that act on a monkey hanging stationary by a vertical vine are tension and gravity. The tension force acts along the vine and pulls the monkey upwards, while the gravity force acts downwards towards the center of the Earth.
If the monkey is stationary, then the two forces are equal in magnitude and opposite in direction. This is because the tension force is balancing the gravity force, resulting in no net force acting on the monkey.
Therefore, if neither of the forces are greater than the other as they are equal in magnitude and opposite in direction.What is tension force?The force exerted by a string, rope, chain, or similar object on another object that it is connected to is referred to as tension. The tension is always directed along the length of the string and away from the object's surface that the string is attached to. When an object is suspended from a rope, the tension force on the rope is equal to the weight of the object (due to gravity), and this tension force is transmitted through the rope to any other objects that the rope is attached to.
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a 200 ohm, 250 ohm and 1000 ohm resistor are connected in parallel across a source. the source current is 6a. how much is the current that flows through the 200 ohm resisto
The current that flows through the 200 Ω resistor is 1.56 A.
Given resistance values of 200 Ω, 250 Ω, and 1000 Ω are connected in parallel across a source. The source current is 6 A. We are required to find the current that flows through the 200 Ω resistor.
Recall that when resistors are connected in parallel, the current is divided among them. And the voltage across each resistor is the same. The equivalent resistance of three parallel resistors is given by;
1/Rp = 1/R1 + 1/R2 + 1/R3Rp = (R1 x R2 x R3)/(R1R2 + R1R3 + R2R3)
Put the values into the formula;
Rp = (200 x 250 x 1000)/(200×250 + 200×1000 + 250×1000)
Rp = 52.17 Ω
The total current in the circuit, It = 6 A
From Ohm's Law;
V = IR,
where V is the voltage across each resistor
V1 = V2 = V3V = I×R
Therefore; V = I×Rp
The current flowing through the 200 Ω resistor, I1 = V1/200 = I × Rp/200The current flowing through the 200 Ω resistor, I1 = (6×52.17)/200I1 = 1.56 A
Thus, the current that flows through the 200 Ω resistor is 1.56 A.
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if a current of 5.5 a is used, what is the force generated per unit field strength on the 20.0 cm wide section of the loop? use units of newtons per tesla.
The force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is: 0.001 newtons per tesla
The force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is given by the formula F = (μI) / 2πr,
where μ is the permeability of free space, (4π x 10-7 N/A²)
I is current, and r is the radius of the loop.
In this case, the force is (4π x 10-7 x 5.5) / (2π x 0.1) = 0.001 N/T.
In other words, the force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is 0.001 newtons per tesla.
The formula for the force generated per unit field strength on a loop is derived from the fact that the force is a result of the magnetic field generated by the current flowing in the loop.
The magnitude of the magnetic field generated is proportional to the current and inversely proportional to the radius of the loop. Since the force is a product of the current and the magnetic field, it is proportional to the square of the current and inversely proportional to the square of the radius of the loop.
In summary, the force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is 0.001 newtons per tesla, given by the formula F = (μI) / 2πr, where μ is the permeability of free space (4π x 10-7 N/A²), I is current, and r is the radius of the loop.
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a mass-spring oscillating system undergoes shm with a period t. what is the period of the system if the amplitude is doubled?
The period of a mass-spring oscillating system undergoing SHM with a period t, when the amplitude is doubled, is still t.
The period of a mass-spring oscillating system undergoing simple harmonic motion (SHM) is determined by the spring constant and mass of the system.
When the amplitude of the system is doubled, the period of the system remains the same, regardless of the amplitude. This means that the period of a mass-spring oscillating system undergoing SHM with a period t, when the amplitude is doubled, is still t.
To understand why the period remains the same, consider the equation for simple harmonic motion:
x(t) = A cos (2πft).
This equation describes the displacement of an object over time and is based on the principle that any system undergoing SHM oscillates about a fixed point at a constant frequency.
The frequency of the system is inversely proportional to the period, and is determined by the spring constant and mass of the system.
Increasing the amplitude of the system does not affect the frequency or period of the oscillations.
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jeff 60 kg and julia 45 kg are in two separate bumper cars 130 each. jeff was moving at 4 m/s north while julie was going 6 m/s west. julia bounces off going 2 m/s at an angle of 15 s of w. what is the final velocity and direction of jeff car
Final velocity of Jeff's car is 7.133 m/s south. The direction is 59.3° south of east.
In this issue, we can utilize preservation of energy to track down the last speed and course of Jeff's crash mobile after the impact with Julia's. Before the impact, the energy in the x-heading is zero, and in the y-course, it is 60 kg × 4 m/s = 240 kg⋅m/s north. Julia's force is 45 kg × 6 m/s = 270 kg⋅m/s west.After the crash, the energy in the x-course is rationed. The absolute energy in the x-course is as yet zero, as Julia's force that way is likewise zero. In the y-heading, the absolute force after the crash is 60 kg × vj + 45 kg × 2 m/s sin 15°, where vj is Jeff's last speed in the y-course.Utilizing protection of energy, we can compare the force when the crash in the y-heading:
60 kg × 4 m/s + 45 kg × 6 m/s = 60 kg × vj + 45 kg × 2 m/s sin 15°
Working on this situation, we get:
240 kg⋅m/s + 270 kg⋅m/s = 60 kg × vj + 12.19 kg⋅m/s
Addressing for vj, we get:
vj = (240 kg⋅m/s + 270 kg⋅m/s - 12.19 kg⋅m/s)/60 kg
vj = 7.133 m/s south
Consequently, Jeff's last speed is 7.133 m/s south. To find the course, we can utilize geometry. The point of Jeff's last speed concerning the x-pivot is given by:
θ = tan^-1(vj/4 m/s)
θ = 59.3° south of east
Accordingly, the last speed and heading of Jeff's amusement cart are 7.133 m/s at a point of 59.3° south of east.
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a tired worker pushes a heavy (100-kg) crate that is resting on a thick pile carpet. the coefficients of static and kinetic friction are 0.6 and 0.4, respectively. the worker pushes with a force of 600 n. the frictional force exerted by the surface is
When a tired worker pushes a heavy (100-kg) crate that is resting on a thick pile carpet, the frictional force exerted by the surface on the crate is 588 N.
When a tired worker pushes a heavy (100-kg) crate that is resting on a thick pile carpet, the frictional force exerted by the surface can be calculated as follows:
The weight of the crate = m × g = 100 kg × 9.8 m/s² = 980 N
Force applied by the worker = F = 600 N
The force of friction acting on the crate is given by the following formula:
Ff = μF
Where, μ is the coefficient of friction, F is the normal force acting on the crate.
Notes: The normal force is equal and opposite to the weight of the crate. i.e., N = 980 N1. The frictional force exerted by the surface on the crate is the static frictional force initially. Hence, we use the coefficient of static friction for our calculation.
2. If the force applied by the worker is not enough to overcome the static frictional force, then the crate will not move and the frictional force will remain static friction.
3. Once the crate starts moving, the static friction will convert to kinetic friction. Hence, we will use the coefficient of kinetic friction if the force applied by the worker is greater than the force of static friction. Initially, the force applied by the worker is less than the force of static friction, hence the frictional force exerted on the crate will be the static frictional force.
Frictional force = Ff = μN
The normal force acting on the crate = Weight of the crate = 980 N
Frictional force =
Ff = μN
= 0.6 × 980 N
= 588 N
Therefore, the frictional force exerted by the surface on the crate is 588 N.
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a piano wire of linear mass density 0.0050 kg/m is under a tension of 1350 n. what is the wave speed in this wire?
Answer:
v = sqrt(T/p) Here I
Explanation:
piano wire of a linear mask Party unit length that is 0.005 Kg. for Amanda, the tension in the wire is 1350 Newton. In the first part, we are calculating the speed of the wave. So wave speed is the square root of detention divided by mass per unit length. So the tension is 1350 Newton. This is 0.55. So the spirit of the wave is 5 1 9.6 m/s. This is the video of the need In the B part. The length of the string is one m. Now we are calculating the fundamental frequency. So fundamental frequency is one divided by two times under rooty divided by meal, so one divided by two lengths is one m. This is 135001 double 05. So the fundamental frequency is equal to. If you divide this then you will get 259.8 Hz. This is the fundamental frequency of the wire
if a star is 11 pc away from us, will its apparent visual magnitude be higher or lower than its absolute visual magnitude? what if the star is 5 pc away?
If a star is 11 pc away from us, its apparent visual magnitude will be lower than its absolute visual magnitude. The star's apparent magnitude would be only 0.38 magnitudes lower than its absolute magnitude.
This is because the apparent magnitude of a star is affected by its distance from us. As the distance increases, the star appears dimmer, and its apparent magnitude decreases.
The distance modulus formula gives us a way to calculate the difference between the apparent and absolute magnitudes of a star:
Distance modulus = 5 * log(distance in parsecs) - 5
For a star that is 11 pc away, the distance modulus is,
Distance modulus = 5 * log(11) - 5 = 1.38
This means that the star's apparent magnitude will be 1.38 magnitudes lower than its absolute magnitude.
If the same star were only 5 pc away from us, the distance modulus would be,
Distance modulus = 5 * log(5) - 5 = 0.38
In this case, the star's apparent magnitude would be only 0.38 magnitudes lower than its absolute magnitude. This means that the star would appear brighter and have a higher apparent magnitude when it is closer to us.
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an object floating in a container of water and partially submerged has the same density as the water. question 2 options: true false
The given statement "an object floating in a container of water and partially submerged has the same density as the water" is true.
When an object is placed in water, it sinks until the weight of the water displaced by the object equals the weight of the object.
If an object has the same density as water, it displaces an equal amount of water to its own weight. When it displaces the same amount of water that has an equivalent mass to the object, it will float partially submerged. If the object's density is greater than water, it will sink. If the object's density is less than that of water, it will float entirely above the water's surface.
Density is defined as the mass of an object per unit volume. The formula for density is mass/volume. Density is a crucial physical property that is used to define and classify materials. The density of an object is determined by its mass and volume. The unit of measurement for density is kg/m3 or g/cm3. The density of water is 1 g/cm3, which is why objects with a density of less than 1 g/cm3 float on water.
An object floating in a container of water and partially submerged has the same density as the water.
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Explain how a book can have energy even if it’s not moving.
Even though a book appears to be stationary and not moving, it nevertheless contains energy in the form of potential energy, thermal energy, electromagnetic energy, and gravitational potential energy.
Energy is a system's ability to accomplish work or produce change. Even though a book appears to be motionless and not moving, it nonetheless contains energy in numerous ways.
The book has potential energy inside its molecular connections. Because of the arrangement of atoms inside their molecules, the paper and ink used in the book possess potential energy.
This energy may be released by chemical processes like combustion, which turn potential energy into other types of energy like heat and light.
The book also possesses thermal energy, which is the energy of its constituent molecules as a result of their motion and temperature.
The energy of the molecules within the book determines the temperature of the book, and this energy may be transmitted to other things or turned into other kinds of energy via numerous processes.
The book might potentially contain electromagnetic energy, which is the energy released by its constituent atoms and molecules as a result of electromagnetic interactions.
Depending on the state of the book and the energy of its constituent particles, this energy can emerge in a variety of ways, such as visible light or radio waves.
Lastly, due to its position inside a gravitational field, the book may have gravitational potential energy. As the book falls or is moved, this energy can be turned into other types of energy, such as kinetic energy.
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what is the term for an orbit that electrons occupy at a fixed distance from the nucleus; designated 1, 2, 3, 4 ...? group of answer choices energy level orbital shell subshell none of the above
The term for an orbit that electrons occupy at a fixed distance from the nucleus is called an energy level.
What are energy levels?Electrons occupy specific energy levels in an atom, which are determined by the amount of energy required to move an electron from its present energy level to the next higher energy level. The energy levels are designated by a number, which ranges from one to seven. The lowest energy level is one, and the highest energy level is seven.
Electrons in the first energy level are the closest to the nucleus, while electrons in the seventh energy level are the farthest away.
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A student holds a 0.06 kg egg out a window. Just before the student releases the egg, the egg has a 8.0 J of gravitational potential energy with respect to the ground. How far is the students arm from the ground? a.) 133m b.) 13.3m c.) 0.8m d.) 0.08m