Answer: The velocity of each car after collision is 10m/s an -20m/s
Explanation:
using conservation of mommentum
m1u1+m2u2=m1v1+m2v2 but m1=m2
20m-10m =mv1+mv2
10=v1+v2......................................eqn1
using conservation of eenergy
1/2mu1^2 + 1/2mu2^2 = 1/2mv1^2 +1/2mv2^2
u1^2+u2^2=v1^2 +v2^2
(20)^2 + (-10)^2=v1^2+V2^2
400+100 = V1^2+V2^2
500 = V1^2+V2^2............................EQN2
using those two equations we can find the value of v1 and v2
consider a rod of length l rotated about one of its ends instead of about its center of mass. if the mass of the rod is 5 kg, and the length is 2 meters, calculate the magnitude of the moment of inertia (i). a. 1.67 kgm^2 b. 0.833 kgm^2 c. 6.67 kgm^2 d. 3.33 kgm^2
To calculate the moment of inertia of a rod of length l rotated about one of its ends, we need to use the formula I = (1/3) * m * l^2. Here, m is the mass of the rod and l is its length.
Plugging in the values given in the question, we get:
I = (1/3) * 5 kg * (2m)^2
I = (1/3) * 5 kg * 4 m^2
I = (5/3) * 4 kgm^2
I = 6.67 kgm^2
Therefore, the correct answer is option c) 6.67 kgm^2.
It is important to note that the moment of inertia depends not only on the mass of the object but also on how the mass is distributed around the axis of rotation. In this case, since the rod is being rotated about one of its ends, the mass is not uniformly distributed and the moment of inertia is higher than if it were being rotated about its center of mass. This concept is crucial in understanding rotational motion and its applications in engineering and physics.
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Which type of fault has NO vertical motion of rocks associated with it?
A)shear fault
B)strike-slip fault
C)reverse fault
D)normal fault
The correct answer is B) strike-slip fault. It is the type of fault that has no vertical motion of rocks associated with it. Instead, the rocks move horizontally past each other, resulting in a side-to-side motion.
This type of fault does not involve any vertical motion of the rocks, and therefore has no associated vertical motion of rocks associated with it. Like shear faults, strike-slip faults also have no vertical motion of rocks associated with them. In a strike-slip fault, the rocks on either side of the fault move horizontally in opposite directions. This type of fault is also known as a 'lateral fault' since there is only horizontal movement along the fault plane.
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The Fungi kingdom does not include _____.
molds
bacteria
yeast
mushrooms
The Fungi kingdom does not include bacteria. Option B is correct.
Bacteria belong to a separate kingdom called the Monera, which includes all unicellular prokaryotic organisms. The Fungi kingdom includes organisms such as molds, yeast, and mushrooms, which are eukaryotic organisms that obtain nutrients by absorbing organic matter from other organisms in their environment.
Fungi obtain nutrients by absorbing organic matter from their environment. They are heterotrophic organisms, which means that they do not produce their own food through photosynthesis like plants. Instead, they secrete enzymes that break down complex organic compounds in their environment into smaller molecules that can be absorbed through their cell walls.
Fungi play important roles in many ecosystems. They are essential decomposers, breaking down dead organic matter and recycling nutrients back into the environment. Some fungi also form mutualistic relationships with other organisms, such as mycorrhizal associations with plant roots, where they help plants absorb nutrients from the soil. Option B is correct.
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wire 1 carries 1.80 a of current north, wire 2 carries 3.80 a of current south, and the two wires are separated by 1.40 m. 1) calculate the magnitude of the force acting on a 1.00-cm section of wire 1 due to wire 2. (express your answer to three significant figures.)
To calculate the force acting on a section of wire 1 due to wire 2, we can use the formula for the magnetic force between two parallel wires: [tex]F = μ₀I₁I₂L/(2πd)[/tex]
where μ₀ is the permeability of free space, [tex]I₁ and I₂[/tex] are the currents in wires 1 and 2, L is the length of the wires, and d is the distance between them.
Plugging in the given values, we get
[tex]F = (4π×10⁻⁷ T·m/A) × (1.80 A) × (3.80 A) × (0.01 m) / (2π×1.40 m) ≈ 3.69×10⁻⁵ N.[/tex]
This means that there is a force of about [tex]3.69×10⁻⁵ N[/tex] acting on a 1.00-cm section of wire 1 due to wire 2.
This force is attractive, since the currents in the two wires are in opposite directions.
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You apply an input force of 12.5 N to the nutcracker while the output force is 50.0 N. What is the actual mechanical advantage of the nutcracker?
Answer:
The mechanical advantage (MA) of a machine is the ratio of the output force to the input force. In this case, the output force is 50.0 N and the input force is 12.5 N, so we can use the formula:
MA = output force / input force
MA = 50.0 N / 12.5 N
MA = 4
Therefore, the actual mechanical advantage of the nutcracker is 4
Calculate ΔGΔ� for the reaction NO(g)+O3(g)→NO2(g)+O2(g)��(�)+�3(�)→��2(�)+�2(�) for these conditions:
T = 298 K
PNO=1.00×10−6���=1.00×10−6 atm
PO3=2.00×10−6��3=2.00×10−6 atm
PNO2=1.00×10−7���2=1.00×10−7 atm
PO2=1.00×10−3��2=1.00×10−3 atm
The standard free energy change (ΔG°) for the reaction NO₍g₎ + O₃₍g₎ → NO₂₍g₎ + O₂₍g₎ is -301.7 kJ/mol.
To calculate the reaction free energy change (ΔG) under the given conditions, we use the equation:
ΔG = ΔG° + RTln(Q)
where Q is the reaction quotient, R is the gas constant, and T is the temperature in Kelvin.
First, we calculate the reaction quotient Q:
Q = (PNO₂)(PO₂) / (PNO)(PO₃)
Substituting the given pressures, we get:
Q = (1.00×10⁻⁷)(1.00×10⁻³) / (1.00×10⁻⁶)(2.00×10⁻⁶) = 0.05
Next, we substitute the values of ΔG°, R, T, and ln(Q) into the equation to calculate ΔG:
ΔG = -301.7 × 10³ J/mol + (8.314 J/mol·K)(298 K) ln(0.05)
ΔG = -315.6 kJ/mol
Therefore, the reaction free energy change (ΔG) for the given conditions is -315.6 kJ/mol. Since ΔG is negative, the reaction is spontaneous under these conditions.
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PART OF WRITTEN EXAMINATION:
As oxygen levels increase, polarization tends to ____
A) decrease
B) increase
C) stay the same
As oxygen levels increase, polarization tends to decrease. This is because oxygen is a highly electronegative element, meaning it has a strong attraction for electrons.
As oxygen molecules are introduced to a system, they will attract electrons away from other molecules, causing an overall decrease in polarization. This can have various effects on the system, depending on the specific context. For example, in certain chemical reactions, decreased polarization can lead to a decrease in reactivity or a decrease in the strength of intermolecular forces. However, in other contexts, such as in biological systems, decreased polarization may be beneficial, as it can help to stabilize important molecules like proteins and DNA. Overall, the relationship between oxygen levels and polarization is an important factor to consider in many different scientific fields, and can have a significant impact on the behavior of systems ranging from the smallest chemical reactions to the largest ecosystems.
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in a movie, tarzan evades his captors by hiding under water for many minutes while breathing through a long, thin reed. assume that the maximum pressure difference his lungs can manage and still breathe is -71 mm m m -hg h g . 1 mm m m -hg h g
Tarzan's ability to breathe through a long, thin reed while hiding under water for many minutes in the movie is quite impressive.
This technique is known as snorkeling and involves breathing through a tube while floating on the surface of the water.
The maximum pressure difference that his lungs can manage and still breathe is -71 mm Hg, which means that he can handle a drop in pressure of up to 71 millimeters of mercury below atmospheric pressure.
This is important because as he breathes through the reed, the pressure inside his lungs decreases, allowing air to flow in. However, if the pressure drops too low, his lungs will not be able to handle it and he will not be able to breathe.
Therefore, it is crucial that he does not stay under water for too long and that he is careful not to inhale too deeply. Overall, Tarzan's ability to use a reed to breathe underwater is a remarkable feat of human ingenuity and survival.
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a body is in mechanical equilibrium when it is being moved by a constant force the sum of the external forces and the sum of the external torques acting on it is zero it is moving with constant acceleration the sum of the external forces acting on it is zero the sum of the external torques acting on it is zero
A body is in mechanical equilibrium when the (c) sum of the external forces acting on it is zero. This means that the body is not accelerating and its angular velocity is not changing. In other words, the body is in a state of rest or moving with a constant velocity.
When a body is in mechanical equilibrium, the net force acting on it is zero, which means that the body is not accelerating. This is because the body experiences equal and opposite forces that cancel each other out, resulting in a net force of zero.
In addition, when a body is in mechanical equilibrium, the net torque acting on it is zero, which means that the body is not rotating or its angular velocity is not changing. This is because the body experiences equal and opposite torques that cancel each other out, resulting in a net torque of zero.
To summarize, a body is in mechanical equilibrium when the sum of the external forces and the sum of the external torques acting on it is zero. This means that the body is not accelerating and its angular velocity is not changing. A common example of a body in mechanical equilibrium is an object at rest on a flat surface, where the force of gravity is balanced by the normal force exerted by the surface.
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A body is in mechanical equilibrium when
A.it is moving with constant acceleration.
B.it is being moved by a constant force.
C.the sum of the external forces acting on it is zero.
D.the sum of the external torques acting on it is zero.
E.it is moving with constant linear velocity and rotating with a constant angular velocity.
Find the f-number of a telescope with an objective diameter of 8.0 cm and a focal length of 95 cm.
Find the aperture diameter of an f/1.5 all-sky meteor camera lens with a focal length of 2.0 mm.
The f-number of the telescope is 11.9 and the aperture diameter of the f/1.5 all-sky meteor camera lens is 1.33 mm.
The f-number of a telescope is determined by dividing the focal length of the telescope by the diameter of its objective lens. In this case, the objective diameter is 8.0 cm and the focal length is 95 cm, so the f-number can be calculated as follows:
f-number = focal length / objective diameter
f-number = 95 cm / 8.0 cm
f-number = 11.9
Therefore, the f-number of the telescope is 11.9.
For the second part of the question, we are given an f-number of 1.5 and a focal length of 2.0 mm for an all-sky meteor camera lens. The aperture diameter can be found by rearranging the formula for f-number:
f-number = focal length / aperture diameter
Rearranging the formula to solve for aperture diameter gives:
aperture diameter = focal length / f-number
Substituting the values given in the question gives:
aperture diameter = 2.0 mm / 1.5
aperture diameter = 1.33 mm
Therefore, the aperture diameter of the f/1.5 all-sky meteor camera lens is 1.33 mm.
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if a person tries to induce a fire on an object by focusing sun light using a concave mirror. the object should be placed:
When a person tries to induce a fire on an object by focusing sunlight using a concave mirror, the object should be placed at the focal point of the mirror. Concave mirrors have a curved surface that reflects light inward, converging the rays to a single point called the focal point.
In this scenario, the sunlight acts as a source of parallel rays that are reflected off the concave mirror's surface. As these rays converge, they create an intense concentration of heat at the focal point. By placing the object at this location, it will receive the maximum amount of heat energy from the focused sunlight, increasing the likelihood of ignition.
To find the focal point, one can use the mirror's focal length, which is the distance between the mirror's vertex and the focal point. The focal length is typically provided by the manufacturer or can be experimentally determined. It is essential to ensure that the mirror is correctly aligned with the sunlight, so the rays are parallel to the mirror's principal axis to achieve optimal focus and heating.
In summary, to induce a fire on an object using a concave mirror, the object should be placed at the mirror's focal point, where the sunlight's rays are focused and heat is maximized. Proper alignment of the mirror with sunlight and knowledge of the mirror's focal length is crucial for a successful ignition.
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the light emitted by a helium-neon laser has wavelenght of 632 nm in air. as the light travels from air into zircon, find its speed
The speed of light in zircon is approximately 156,000,000 m/s.
To find the speed of light in zircon, we can use the formula:
n = c/v
where n is the refractive index of zircon, c is the speed of light in vacuum, and v is the speed of light in zircon.
To find the refractive index of zircon, we need to know the ratio of the speed of light in air to the speed of light in zircon:
n = [tex]v_{air}/v_{zircon[/tex]
We can use Snell's law to find this ratio:
[tex]n_{air} * sin\theta_{air} = n_{zircon} * sin\theta_{zircon}[/tex]
where [tex]n_{air[/tex] and [tex]n_{zircon[/tex] are the refractive indices of air and zircon, respectively, and [tex]\theta_{air[/tex] and [tex]\theta_{zircon[/tex] are the angles of incidence and refraction, respectively.
Assuming the incident angle is zero degrees, we have:
[tex]n_{air} * sin(0) = n_{zircon} * sin\theta_{zircon}[/tex]
[tex]sin(\theta_{zircon})[/tex] = 0 (since sin(0) = 0)
Therefore, [tex]\theta_{zircon[/tex] = 0, and the light travels through zircon along the same path as in air.
Thus, the ratio of the speed of light in air to the speed of light in zircon is simply:
[tex]n = v_{air}/v_{zircon} = 1/n_{zircon[/tex]
Since we know the wavelength of the light in air (632 nm), we can use the formula:
n = c/v
to find the speed of light in zircon:
v = c/n = c * [tex]n_{zircon[/tex]
where c is the speed of light in vacuum.
To find the refractive index of zircon at 632 nm, we can use a refractive index table or equation. A common equation used for zircon is the Sellmeier equation:
[tex]n^2 = 1 + B1 * \lambda^2 / (\lambda^2 - C1) + B2 * \lambda^2 / (\lambda^2 - C2) + B3 * \lambda^2 / (\lambda^2 - C3)[/tex]
where n is the refractive index, lambda is the wavelength in micrometers, and B1, B2, B3, C1, C2, and C3 are constants specific to zircon.
We can convert the wavelength of the light from nanometers to micrometers:
[tex]\lambda[/tex] = 632 nm / 1000 = 0.632 um
Using the Sellmeier equation for zircon with the following constants:
B1 = 1.30423, B2 = 0.550691, B3 = 0.175379
[tex]C1 = 0.00788554 um^2, C2 = 0.0226450 um^2, C3 = 101.184 um^2[/tex]
we get:
[tex]n^2 = 1 + 1.30423 * 0.632^2 / (0.632^2 - 0.00788554) + 0.550691 * 0.632^2 / (0.632^2 - 0.0226450) + 0.175379 * 0.632^2 / (0.632^2 - 101.184)[/tex]
n = 1.9254
Therefore, the speed of light in zircon is:
v = c/n = 299792458 m/s / 1.9254 = 155899187 m/s (rounded to the nearest integer)
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"from the coordinates obtained in part b, find the slope of the position-time relationship for the bowling ball using the ""rise over run"" algortithm."View Available Hint(s) 0.40 s 2.5m 2.5m/s 0.40m/s Submit
To find the slope of the position-time relationship for the bowling ball using the "rise over run" algorithm, you'll first need the coordinates obtained in part b. The slope represents the rate of change of position with respect to time, and in this context, it is equal to the ball's velocity.
Using the "rise over run" algorithm, the slope (velocity) can be calculated by dividing the change in position (rise) by the change in time (run). In this case, the coordinates represent the position and time values, with the first coordinate being the initial position and time, and the second coordinate being the final position and time.
Assuming you have two coordinates (x1, y1) and (x2, y2), where x values represent time and y values represent position:
Slope = (y2 - y1) / (x2 - x1)
Once you have the coordinates from part b, plug the values into the formula above to calculate the slope. This will give you the velocity of the bowling ball, which represents the relationship between the position and time for the given motion.
For example, if the coordinates from part b are (0.4 s, 2.5 m) and (0.8 s, 5 m), the slope would be:
Slope = (5 m - 2.5 m) / (0.8 s - 0.4 s) = 2.5 m / 0.4 s = 6.25 m/s
In this example, the slope (velocity) of the position-time relationship for the bowling ball is 6.25 m/s.
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Bohr developed an equation for calculating the energy levels of a hydrogen atom. Which of the following can be determined using this equation? Select all that apply.
The energy needed to remove an electron completely from the hydrogen atom
The difference in energy between two energy levels in a hydrogen atom
The wavelength of a line in the atomic line spectrum for hydrogen
Bohr's equation enables us to determine the ionization energy, energy differences between energy levels, and the wavelengths associated with the atomic line spectrum for hydrogen atoms.
Bohr's equation for calculating the energy levels of a hydrogen atom provides valuable information about the atom's behavior. Using this equation, we can determine the following:
1. The energy needed to remove an electron completely from the hydrogen atom: Bohr's equation helps calculate the ionization energy, which is the amount of energy required to detach an electron from its lowest energy level (n=1) to infinity.
2. The difference in energy between two energy levels in a hydrogen atom: The equation calculates the energy levels for different orbits (n values), and by finding the difference between the energy levels, we can determine the energy gap between them.
3. The wavelength of a line in the atomic line spectrum for hydrogen: When an electron transitions between energy levels, it either absorbs or emits a photon. The energy of the photon corresponds to the difference in energy between the two levels. Using this information and the Rydberg formula, we can calculate the wavelength of the emitted or absorbed light, which corresponds to a line in the atomic line spectrum for hydrogen.
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apply 500 newtons of force until the speed reaches approximately 20 m/s. then, remove the force. describe the motion of the box
Answer:
it is at rest or you can say it is equilibriant
The box will undergo an initial period of acceleration until it reaches a speed of 20 m/s, at which point it will continue to move at a constant velocity in the absence of any external forces.
Assuming that the box is initially at rest and that there is no friction, when a force of 500 newtons is applied, the box will accelerate in the direction of the applied force. The acceleration of the box can be calculated using Newton's second law of motion:
F = m a
where F is the net force acting on the box, m is the mass of the box, and a is the acceleration of the box.
In this case, F = 500 N and m is the mass of the box, which we will assume to be 10 kg for the sake of example. Therefore, the acceleration of the box is:
[tex]a = F / m = 500 N / 10 kg = 50 m/s^2[/tex]
As the force is applied, the box will continue to accelerate until it reaches a speed of approximately 20 m/s. Once the box reaches this speed, the force is removed. Since there is no friction, the box will continue to move at a constant velocity of 20 m/s due to the principle of inertia.
In summary, the box will undergo an initial period of acceleration until it reaches a speed of 20 m/s, at which point it will continue to move at a constant velocity in the absence of any external forces.
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A small car has a head-on collision with a large truck. Which of the following statements concerning the magnitude of the average force due to the collision is correct? a. The small car experiences the greater average force. b. The small car and the truck experience the same average force. c. It is impossible to tell since the masses are not given. d. The truck experiences the greater average force.
Answer: The answer is B
Explanation: using newton's third laws of motion,the force applied between two objects is same in magnitude and has opposite direction.since two objects have same force,small car has large acceleration than the truck because it has less mass.
circular loop of wire 50 mm in radius carries a current of 100 a. find the (a) magnetic field strength and (b) energy density at the center of the loop.
(a) The magnetic field strength at the center of the loop is 4π × [tex]10^{-4[/tex] Tesla, and (b) The energy density at the center of the loop is 1.6 × [tex]10^3[/tex] Joules per cubic meter.
(a) To find the magnetic field strength at the center of a circular loop of wire, we can use the Biot-Savart law, which relates the magnetic field at a point to the current flowing through a nearby wire segment. For a circular loop, the magnetic field at the center is given by:
B = μ₀I/2R
where μ₀ is the permeability of free space, I is the current flowing through the loop, and R is the radius of the loop. Substituting the given values, we get:
B = (4π × [tex]10^{-7[/tex] T·m/A) × (100 A)/(2 × 0.05 m) = 4π × [tex]10^{-4[/tex] T
Therefore, the magnetic field strength at the center of the loop is 4π × [tex]10^{-4[/tex] Tesla.
(b) To find the energy density at the center of the loop, we can use the equation for magnetic energy density, which relates the magnetic field strength to the energy per unit volume of the magnetic field. The energy density is given by:
u = B²/2μ₀
Substituting the magnetic field strength we found in part (a), we get:
u = (4π × [tex]10^{-4[/tex] T)²/(2 × 4π × [tex]10^{-7[/tex] T·m/A) = 1.6 × [tex]10^3[/tex] J/m³
Therefore, the energy density at the center of the loop is 1.6 × [tex]10^3[/tex] Joules per cubic meter.
In summary, the magnetic field strength at the center of the loop is 4π × [tex]10^{-4[/tex] Tesla, and the energy density at the center of the loop is 1.6 × [tex]10^3[/tex] Joules per cubic meter. These values are important for understanding the behavior of magnetic fields and their interactions with other objects in the vicinity of the loop.
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plsssss help me ........
Answer:
silk-ties fabric
rubber-rubber bands
cellulose-jeans
starch-food and paper
dna-genetic
Explanation:
The phenomenon that causes the position of the Earth's celestial poles to move among the stars called
The phenomenon that causes the position of the Earth's celestial poles to move among the stars is called precession.
Precession is a slow and gradual wobbling of the Earth's rotational axis caused by the gravitational pull of the Sun and Moon on the Earth's equatorial bulge. This means that over time, the North and South celestial poles appear to move in a circle among the stars. In addition to the precession, the Earth's axial tilt (the angle at which the Earth's North Pole is tilted relative to the plane of the ecliptic) also changes as the precession cycle goes through its 26,000-year period. This causes the position of the celestial poles to move among the stars at a rate of approximately 50 arc seconds per year.
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the maximum tailwind component of the airplane is 10 knots. the actual tailwind calculated is 11 knots. other aircraft are continuing to land, so you decide to ignore the limitation and land as well. which hazardous attitude are you displaying?
The hazardous attitude displayed in this situation is "invulnerability."
Invulnerability is the belief that "it can't happen to me" and can lead to a disregard for rules, procedures, and limitations.
In this situation, the pilot is ignoring a limitation on the maximum tailwind component of the airplane and landing with an actual tailwind that exceeds the limitation. This could lead to a loss of control of the aircraft during landing or other safety issues.
It's important for pilots to recognize this hazardous attitude and take steps to mitigate it, such as adhering to limitations and procedures, considering the potential consequences of their actions, and recognizing their own fallibility.
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Which of these is most likely to be a centrifugal force within the EU in the future?
Among the given options, cultural differences are most likely to be the centrifugal force within the EU in the future. The EU is a political and economic union of 27 member states, and cultural differences among its member states have always been present.
With the increasing number of immigrants from different parts of the world, the cultural differences among EU member states are becoming more prominent. Each member state has its unique language, history, customs, and traditions, which can create misunderstandings and conflicts among the member states.
The EU aims to promote unity and solidarity among its member states, but cultural differences can lead to a lack of understanding and trust between them. The EU's diverse cultural heritage is both a strength and a challenge for the union. The EU needs to find a way to respect the cultural diversity of its member states while maintaining its unity.
However, the cultural differences among the member states can still cause tensions and conflicts in the future. Therefore, it is crucial for the EU to continue to foster cultural awareness and understanding among its member states to maintain the union's cohesion and stability.
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complete question:
Which of these is most likely to be a centrifugal force within the EU in the future?
a. trade barriers
b. closed borders
c. pollution problems
d. cultural differences
Alex and Jamie are planning to build a model boat that can transport a lot of weight. They got their idea by learning about container ships like the one shown below.To model carrying heavy containers across the ocean, their boat needs to be able to carry glass marbles across a small pool. The base of their boat will be made from an empty box. They have several boxes to choose from. Each box is the same size, but they are each made of a different material. Which of these tests should Alex and Jamie do next to pick the best material for the base of their model boat?
A tensile test is a physical experiment that evaluates the suitability of materials.
In general, larger boats are referred regarded as ships. The ability to float in water is the primary characteristic of a successful boat design. The physical force that keeps items like boats and other afloat in liquids is known as buoyancy.
A ship's capacity is determined by its tonnage. The two primary types of ship tonnage are tonnage by weight and tonnage by volume.
A tensile test is a physical experiment that evaluates the suitability of materials for certain engineering or building applications in order to guarantee quality.
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A motor cycle travelling at 100km/h on a flat road applies the brakes at 0.80m/s² for 1 minute. How far did the motorcycle travel during this time?
Answer: 228 meters
Explanation: D=vIxt+1/2At^2
A 1. 8-m-long, 1. 0-mm-diameter steel string is pulled by a 3. 3 × 103 n tension force. By how much is the string stretched, in mm? the young's modulus for steel is 20 × 1010 n/m2
The steel string is stretched by 0.06 mm.
We can use Hooke's Law to find the amount of stretch in the steel string:
F = kΔL
where F is the tension force, k is the spring constant (related to the Young's modulus), and ΔL is the amount of stretch.
Rearranging the equation, we get:
ΔL = F / k
The spring constant k can be expressed as:
k = A * E / L
where A is the cross-sectional area of the string, E is Young's modulus, and L is the original length of the string.
Substituting the given values, we get:
A = [tex]πr^2 = π(0.5 mm)^2 = 0.785 mm^2[/tex]
k = (π/4) * (1.0 mm)^2 * (20 × [tex]10^10 N/m^2[/tex]) / (1.8 m) = 5.50 × [tex]10^4 N/m[/tex]
Now we can find the amount of stretch:
ΔL = (3.3 × [tex]10^3 N)[/tex]/ (5.50 × [tex]10^4 N/m[/tex]) = 0.06 mm
Therefore, the steel string is stretched by 0.06 mm.
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0.03 Volts =
A) 3 microvolts
B) 30 millivots
C) 3 Volts
D) 300 Volts
E) 30 millivolts
The0.03 volts are equal to 30 millivolts. The prefix "milli" denotes a factor of 1/1000, while the prefix "micro" denotes a factor of 1/1,000,000. Therefore, 0.03 volts is larger than 3 microvolts (which is 0.000003 volts), but smaller than 3 volts and 300 volts.
The correct answer is option E, which states that 0.03 volts is equal to 30 millivolts. A millivolt is one-thousandth of a volt, so multiplying 0.03 volts by 1000 gives the answer of 30 millivolts. Millivolts are commonly used to measure small voltage changes, such as those in biomedical signals, whereas volts are used to measure larger electrical potentials. Therefore, understanding the relationship between volts and millivolts is important for accurately measuring and interpreting electrical signals in various applications.
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When knee flexion is increased (heel brought to buttocks) during running, the moment of inertia of the lower extremity about the hip: a.cannot be determined without knowing the mass and length of the leg b.remains the same c.is increased d.is decreased
When knee flexion is increased (heel brought to buttocks) during running, the moment of inertia of the lower extremity about the hip: c. is increased.
Moment of inertia is a measure of the resistance of an object to rotational motion, and it depends on the distribution of mass around the axis of rotation. When the knee is flexed and the lower leg is brought closer to the hip, the distribution of mass around the hip joint changes. The lower leg moves from an extended position, where most of the mass is concentrated at the distal end (foot), to a flexed position, where the mass is distributed more evenly along the length of the leg. This redistribution of mass increases the moment of inertia of the lower extremity about the hip. Therefore, when knee flexion is increased during running, the moment of inertia of the lower extremity about the hip is increased.For more such question on moment of inertia
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Which of the following is one of the main functions of a transistor in a circuit?
Answer:
To act as a switch to control the flow of charge in a circuit
Explanation:
A transistor acts like a gate, this we can say it closes and opens , this is what we call control
What voltage is produced by a 27 μh inductor if the current through the inductor is increasing at a rate of 63 ma/s?
The voltage produced by the 27 µH inductor, if the current through the inductor is increasing at a rate of 63 mA/s, is 1.701 mV.
The voltage produced by an inductor is given by the formula:
V = L*(di/dt)
where V is the voltage, L is the inductance, and di/dt is the rate of change of current.
Substituting the given values:
L = 27 µH = 27 x [tex]10^{-6}[/tex] H
di/dt = 63 mA/s = 63 x [tex]10^{-3}[/tex] A/s
V = (27 x [tex]10^{-6}[/tex] H) * (63 x [tex]10^{-3}[/tex] A/s) = 1.701 mV
Therefore, the voltage produced by the 27 µH inductor if the current through the inductor is increasing at a rate of 63 mA/s is 1.701 mV.
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Three point charges are located on the x-axis at the following positions: Q1 = +2. 00 μC is at x = 1. 00 m, Q2 = +3. 00 μC is at x = 0. 00, and Q3 = -5. 00 μC is at x = -1. 00 m. What is the magnitude of the electric force on Q2?
The negative sign indicates that the force is in the opposite direction to the positive direction of the x-axis (i.e., to the right).
The electric field due to Q1 at the position of Q2 is:
E1 = kQ1 / r1²
E1 = (9.0 x [tex]10^9[/tex] N·m²/C²) x (+2.00 x [tex]10^{-6}[/tex] C) / (1.00 m)²
= 1.8 x [tex]10^4[/tex] N/C (to the left)
The electric field due to Q3 at the position of Q2 is:
E3 = kQ3 / r3²
E3 = (9.0 x [tex]10^9[/tex] N·m²/C²) x (-5.00 x [tex]10^{-6}[/tex] C) / (1.00 m)²
= -4.5 x [tex]10^4[/tex] N/C (to the right)
Etotal = E1 + E3
= (1.8 x[tex]10^4[/tex] N/C) + (-4.5 x [tex]10^4[/tex]N/C)
= -2.7 x [tex]10^4[/tex]N/C (to the right)
F = QE
where Q is the charge of the particle. For Q2, we have:
F2 = Q2Etotal
= (3.00 x [tex]10^{-6}[/tex] C)(-2.7 x [tex]10^4[/tex] N/C)
= -8.1 x [tex]10^{-2}[/tex] N
The magnitude of the electric force on Q2 is therefore:
|F2| = 8.1 x [tex]10^{-2}[/tex]N
The electric field is a fundamental concept used to describe the influence that electric charges have on each other. An electric field is defined as the force per unit charge that a charged particle experiences in the presence of other charged particles. Electric fields have many applications in modern technology, including electric motors, generators, and electronic devices.
The electric field is a vector quantity, meaning that it has both magnitude and direction. The direction of the electric field is the direction in which a positive test charge would move if it were placed in the field. The electric field is created by electric charges, either by stationary charges or by moving charges. The strength of the electric field at any point in space depends on the amount and distribution of the charges creating the field. The unit of electric field is newton per coulomb (N/C) in the SI system.
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Part A Rank, from largest to smallest, the following four collisions according to the magnitude of the change in the momentum of cart B, which has twice the inertia of cart A Rank from largest to smallest. To rank items as equivalent, overlap them O A initially moving right at 1.0 m/s, B initially stationary; stick together on impact.O A initially stationary, B initially moving on left at 1.0 m/s; stick together on impact.O A initially moving right at 1.0 m/s, B initially moving left at 1.0 m/s; stick together on impact.O A initially moving right at 1.0 m/s after impact, A moving left at 0.33 m/s, B moving right at 0.67 m/s. Largest > Smallest
Largest to smallest change in momentum of cart B: 1>2>3>4.
Rank collisions by momentum change in cart B ?Ranking of collisions based on the magnitude of change in momentum of cart B, which has twice the inertia of cart A, from largest to smallest:
O A initially moving right at 1.0 m/s, B initially moving left at 1.0 m/s; stick together on impact.O A initially stationary, B initially moving on left at 1.0 m/s; stick together on impact.O A initially moving right at 1.0 m/s after impact, A moving left at 0.33 m/s, B moving right at 0.67 m/s.O A initially moving right at 1.0 m/s, B initially stationary; stick together on impact.In this collision, both carts stick together after the impact. Since cart B has twice the inertia of cart A, it will experience a larger change in momentum than cart A. The change in momentum of cart B will be equal in magnitude but opposite in direction to the change in momentum of cart A, making this collision the one with the largest change in momentum for cart B.In this collision, cart B initially has a velocity to the left, while cart A is stationary. After the collision, both carts stick together, and move to the left with the same velocity. Cart B experiences a larger change in momentum than cart A due to its greater inertia.In this collision, both carts have initial velocities in opposite directions. After the impact, cart A moves in the opposite direction with a smaller velocity, while cart B moves in the same direction with a larger velocity. Cart B experiences a smaller change in momentum than in the previous two collisions due to the transfer of momentum to cart A.In this collision, cart A has a velocity to the right, while cart B is initially stationary. After the collision, both carts stick together, and move to the right with the same velocity. Since cart A experiences the same change in momentum as cart B, this collision has the smallest change in momentum for cart B.Learn more about momentum
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