an object is launched at a velocity of 40m/s in a direction making an angle of 50°upward with the horizontal
a)what is the maximum height reached by the object
b) what is the object total flight time between launch and touching the ground
c) what's the object horizontal range(maximum ×above ground)​

Plugging in the values of the length and diameter, along with the error value, the error in the volume of the cylinder is approximately 1.27 cm³.

Error in measurement refers to the deviation or difference between the true or expected value and the measured value of a physical quantity. The presence of errors in measurement can affect the accuracy and precision of the results obtained.

To compute the possible error in the volume of the cylinder, we first need to calculate the volume of the cylinder using the measured values of its length and diameter:

V = πr²h

r = d/2 = 2.1/2 = 1.05 cm

V = π(1.05)²(8.9) = 31.79 cm³

Now, we need to determine the possible error in the volume, which can be calculated using the formula:

ΔV = V × √[(Δd/d)² + (Δh/h)²]

where Δd and Δh are the uncertainties in the diameter and length measurements, respectively. Substituting the given values, we get:

ΔV = 31.79 × √[(0.1/2.1)² + (0.1/8.9)²] = 1.27 cm³ (approx.)

Therefore, the possible error in the volume of the cylinder is approximately 1.27 cm³.

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The spring scale read just before the mass touches the lower spring is 80.36N, the spring constant for the lower spring is 2765N/m and at 2.9cm length the scale will read zero.

Given the mass of spring = 8.2kg

The force exerted for compressing of spring = 14N

The compression in spring = 2.4cm = 0.024m

(A.) Initially the spring scale reads only the weight of the mass = mg

W = 8.2 * 9.8 = 80.36N

(B) Let the value of spring constant = k

The net force exerted so that the scale reads(F') = 80.36N - 14 = 66.36N

We know that according to Hooke's law the force exerted on spring F = kx such that:

F' = kx then:

66.36 = k * 0.024

k = 66.36/0.024 = 2765N/m

(C) the compression where scale reads zero = x'

The scale reads zero when the restoring force equals to the weight of the mass then the scale reads zero such that:

x' = 80.36/2765 = 0.029m = 2.9cm

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Answer:

Explanation:

Theoretical muzzle velocity is calculated based on various physical models and assumptions, such as the conservation of energy and momentum, the properties of the propellant and barrel, and other factors that can affect the velocity of the projectile as it exits the muzzle of the firearm. However, in practice, there can be many factors that can influence the actual velocity of the projectile, which can result in a measured muzzle velocity that is higher than the theoretical value. Some possible reasons for this discrepancy include:

Variation in propellant burn rate: Theoretical models assume a constant burn rate for the propellant, but in practice, there can be variations in the rate at which the propellant burns due to differences in temperature, humidity, and other factors. This can affect the velocity of the projectile as it exits the muzzle.

Barrel condition: Theoretical models assume a perfectly smooth, straight barrel, but in practice, barrels can have imperfections such as rough spots or bends that can affect the velocity of the projectile as it travels through the barrel.

Environmental factors: Theoretical models assume ideal conditions, but in practice, there can be factors such as wind, temperature, and humidity that can affect the velocity of the projectile as it travels through the air.

Measurement errors: Measuring the muzzle velocity of a projectile can be challenging, and errors in measurement can result in a measured velocity that is higher than the actual value.

Human error: Human factors such as shooter error, inconsistency in handling and loading the firearm, and other factors can also contribute to discrepancies between theoretical and measured muzzle velocities.

Overall, while theoretical muzzle velocity can provide a useful estimate of the velocity of a projectile exiting a firearm, there are many factors that can influence the actual velocity in practice, leading to measured velocities that are higher than the theoretical value.

Answer : 0.00885 farads or 8.85 microfarads

Explanation: To calculate the capacitance required, we can use the following formula:

C = 1 / [2 * pi * f * ((V^2 - Vlamp^2)/P)]

where:

C = capacitance in farads (F)

pi = 3.14159...

f = frequency in hertz (Hz)

V = voltage in volts (V)

P = power in watts (W)

Vlamp = voltage of the lamp in volts (V)

Using the given values, we have:

C = 1 / [2 * pi * 60 * ((230^2 - 100^2)/750)]

C = 1 / [2 * 3.14159 * 60 * ((230^2 - 100^2)/750)]

C = 1 / [113.09724]

C = 0.00885 farads (F)

Therefore, the capacitance required is approximately 0.00885 farads or 8.85 microfarads.

The speed of the wave with the period given above would be = 3m/s

The wave length generated by the rope = 6m

The period of the wave = 2s

But the formula use for calculate the speed of a wave = v=λf

Where v = speed

λ= wavelength = 6m

f = Frequency.

Also F = 1/T

Where T = period = 2s

F = 1/2 = 0.5 Hz

V = 6× 0.5

V = 3m/s

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The mass of water that undergoes a change in temperature from 10 degrees celsius to 60 degrees celsius is 24.9 g.

Mass is the quantity of matter a body contained.

To calculate the mass of  the water, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the mass of water is 24.9 g.

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Answer:

true

Explanation:

Answer:

True

Explanation:

Glucose is one of the reactants in cellular respiration, which is the process by which cells generate energy in the form of ATP (adenosine triphosphate). Glucose is broken down into simpler molecules in a series of metabolic reactions that occur in the presence of oxygen (aerobic respiration) or in the absence of oxygen (anaerobic respiration). The breakdown of glucose ultimately results in the release of energy that is used to produce ATP, which is the main source of energy for cellular activities.

The secondary coil needs 120 turns.The power transmitted to the secondary winding is 0.155 W.

A transformer works by using electromagnetic induction to transfer electrical energy between two circuits. The voltage changes between the primary and secondary coil based on the ratio of the number of turns in each coil. In a step-up transformer, the voltage is increased from the primary to the secondary coil, while in a step-down transformer, the voltage is decreased.

Transformers are commonly used in electronic devices to convert voltage levels, isolate circuits, and match impedances. They are often used in power supplies to step down the voltage from the wall outlet to a level that can be used by the device. They are also used in audio amplifiers to match the impedance of the output to the speaker, and in radio and television receivers to tune in to different frequencies.

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Answer:

In this problem, the harp string is fixed at both ends, so it is a standing wave with nodes at both ends and an antinode in the center. The frequency of the wave is given as 440 Hz, and the length of the string is 30.5 cm.

(a) To find the wavelength of the wave, we can use the formula:

λ = 2L/n

where λ is the wavelength, L is the length of the string, and n is the number of nodes. In this case, n = 2 (since there are nodes at both ends) and L = 30.5 cm, so we have:

λ = 2(30.5 cm)/2 = 30.5 cm

Therefore, the wavelength of the wave is 30.5 cm.

(b) To find the speed of the wave on the string, we can use the formula:

v = fλ

where v is the speed of the wave, f is the frequency of the wave, and λ is the wavelength. In this case, f = 440 Hz and λ = 30.5 cm, so we have:

v = (440 Hz)(30.5 cm) = 13420 cm/s

Therefore, the speed of the wave on the string is 13420 cm/s

Explanation:

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that the relative placements of the charges as well as their multiples affect a set of ions' potential energy. When the specific charge have the same sign or have equal signs, the energy is positive. Or else, it is negative.

The force acting just on two objects affects the potential energy formula. The formula for gravitational force is P.E. (= mgh, where g seems to be the acceleration caused by gravity (9.8 m/s2 at the earth's surface) while h represents the elevation in metres.

As a result, the system's potential energy equals the sum of a work that was done to set up the entire system of two counts. The potential energy that exists in the combination of two charges in such an external field can be stated as follows: q1V(r1) = q2V(r2) + (q1q2/4or12).

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Answer: D. It needs a medium to travel.

Explanation:

One way to categorize waves is on the basis of the direction of movement of the individual particles of the medium relative to the direction that the waves travel. Categorizing waves on this basis leads to three notable categories: transverse waves, longitudinal waves, and surface waves.

Answer:

Explanation:

To solve this problem, we can use the following kinematic equation:

d = 1/2at^2 + vt

where d is the distance, a is the acceleration, t is the time, and v is the initial velocity.

We know that the car is starting from rest, so v = 0. We also know that the acceleration is 5 m/s^2 and the distance to be covered is 200 m. Plugging these values into the equation, we get:

200 = 1/2(5)t^2 + 0

Simplifying:

t^2 = 80

Taking the square root of both sides:

t = 8.9 s

Therefore, it would take the car approximately 8.9 seconds to cover a distance of 200 meters from rest with an acceleration of 5 meters per second squared.

The response that enumerates the unbalanced forces is a bunch of people playing tug-of-war with two young children on one side and two huge adults on the other.

In a tug of war, if both teams are applying the same amount of force on the rope, balanced forces are displayed. The forces pulling on the rope are opposing in direction and of equal magnitude.

The imbalanced soldiers are acting onto the football if you kick it and it goes from one area to another. After being kicked, the ball goes from one location to another. An illustration of an uneven force is this.

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The initial mass of the rocket was 106 kg.

We can use the principle of conservation of momentum to solve this problem.

The momentum of the rocket before takeoff is zero, since it is at rest, and the momentum after takeoff is the product of the mass of the rocket and its velocity.

However, during the takeoff, the rocket ejects a mass of fuel at a certain velocity, which creates a backward force (thrust) that propels the rocket forward.

This thrust can be calculated using the equation:

Thrust = (mass flow rate) x (exhaust velocity)

mass flow rate = (mass of fuel burned) / (burn time)

The mass of the rocket at any given time can be calculated using the equation:

mass = (initial mass) - (mass of fuel burned)

Using these equations, we can solve for the initial mass of the rocket:

Calculate the thrust:

Thrust = (118 kg / 10.0 s) x 1600 m/s = 1,888 N

Calculate the mass of the rocket at the end of the burn:

mass(end) = (initial mass) - (mass of fuel burned) = (initial mass) - 118 kg

Use the principle of conservation of momentum to find the initial mass:

momentum before = momentum after

0 = (mass(end) + 118 kg) x 110 m/s

mass(end) = -118 kg / 110 m/s = -1.07 kg/s

mass(end) = (initial mass) - 118 kg

(initial mass) = mass(end) + 118 kg

(initial mass) = (-1.07 kg/s x 10.0 s) + 118 kg

(initial mass) = 106 kg

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Albert Einstein was one of the greatest physicists of all time and is widely considered a genius. He made groundbreaking contributions to our understanding of the universe, including the theory of relativity and the famous equation E=mc².

Einstein's intelligence can be seen in his early academic achievements. He excelled in math and physics, and by the age of 16, he was already doing advanced physics research on his own. He went on to earn a PhD and made significant contributions to physics, publishing numerous papers and developing revolutionary theories.

Moreover, his ability to think creatively and critically is evidenced by his approach to problem-solving. He was known for his thought experiments, which allowed him to explore complex concepts and theories without the need for expensive equipment or experiments. He was also skilled at developing intuitive and elegant solutions to complex problems.

Therefore Einstein's intelligence is widely recognized and respected by scientists, scholars, and the general public alike. He is considered one of the most brilliant minds in history and has made a lasting impact on our understanding of the universe.

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Answer:

Explanation:

To choose a material for the handrails of the playhouse, we need to consider its strength and durability. One option could be stainless steel, which has a high tensile strength and is resistant to corrosion and weathering. Another option could be treated wood, which is also strong and can be treated to resist moisture and insects. Ultimately, the choice would depend on factors such as cost, aesthetics, and availability of materials.

The speed of the wave would be0.48 m/s.

The speed of a wave is given by the formula:

v = λ/T

where v is the wave speed, λ (lambda) is the wavelength, and T is the period.

To solve this problem, we need to know the wavelength of the wave. We can find the wavelength using the formula:

λ = 2L

where L is the length of the rope. Substituting L = 6 m, we get:

λ = 2 × 6 m = 12 m

Now we can use the formula for wave speed:

v = λ/T

Substituting λ = 12 m and T = 25 s, we get:

v = 12 m/25 s = 0.48 m/s

Therefore, the speed of the wave is 0.48 m/s.

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The initial velocity of the car is 26.9 m/s [S], and the final velocity is 0 m/s [S]. The time taken for the car to come to a stop is 2.61 s. Using the formula:

acceleration = (final velocity - initial velocity) / time

we can find the car's acceleration:

acceleration = (0 m/s - 26.9 m/s) / 2.61 s

acceleration = -10.305 m/s^2

The negative sign indicates that the car is decelerating, or slowing down.

To calculate the force acting on the car during the deceleration, we can use Newton's second law:

force = mass x acceleration

force = (1.18 × 10^3 kg) x (-10.305 m/s^2)

force = -12,166.1 N

The force acting on the car during deceleration is -12,166.1 N, or approximately 12.2 kN.

Answer:

0.625 meters

Explanation:

We can use the work-energy that the work done on an object is equal to the change in its kinetic energy:

Work = ΔK = Kf - Ki

Where:

Work is the work done on the object

ΔK is the change in kinetic energy of the object

Kf is the final kinetic energy of the object

Ki is the initial kinetic energy of the object (which is zero since the object is at rest)

The work done on the object is equal to the force applied to the object multiplied by the distance over which the force is applied:

Work = F × d

Where:

F is the force applied to the object (50 N)

d is the distance over which the force is applied (unknown)

So we can write:

F × d = Kf - Ki

Substituting the given values:

50 N × d = 1/2 × 10 kg × (2.5 m/s)^2 - 0

Simplifying:

50 N × d = 31.25 J

Solving for d:

d = 31.25 J / 50 N = 0.625 m

Therefore, the object was moved a distance of 0.625 meters.

please rate

The answer is:

D. 7.6m

Assessing your fitness level is important because it help in tracking your progress and determine if you are making improvements. Regular assessments can help you identify areas where you may need to make adjustments to your fitness routine to achieve your goals. By assessing fitness level, you can identify areas where you may be weaker or less flexible. This information can help you design a fitness routine that addresses these areas and reduces our risk of injury.

Regular physical activity and exercise can improve overall health and reduce the risk of chronic diseases such as heart disease, diabetes, and obesity. By understanding your fitness level, you can design an exercise routine that helps you achieve optimal health and wellness.

Answer:

It depends on how they are made.

Explanation:

Rubber balloons are not always spherical in shape. When filled with air, the inflation forms a balance between the balloon material, including its shape and thickness and its elasticity and the pressure of the air. That’s what determines its shape. Although a sphere is often the shape, it could be tubular, offset, and most other shapes.

w is 1.07 × 10^4, expressed in scientific notation with the correct number of significant figures.

The equation given is:

Ψ = w/(yz^2)

We Substitute the given values, we get:

Ψ = w/(y × z^2) = 1.1 × 10^3 × 2.48 × 10^-2 × 6.000 = 1.6464

solving  for w and rearranging  the equation as:

w = Ψ × y × z^2

We Substitute the given values, we get:

w = 1.6464 × 37 × (14)^2 = 10,722.7584

we  round the value of w to three significant figures, since the values of y, z, and Ψ are given with three significant figures, in order to express the result in scientific notation with the correct number of significant figures,

Rounding 10,722.7584 to three significant figures gives 10,700. Therefore, the value of w is:

w = 1.07 × 10^4

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Answer:

13.8 (kgm)/s

Explanation:

p(momentum) = m (mass) * v (velocity)

p= 2.3 * 6

p = 13.8

Answer:

Explanation:

First, we need to use the formula for the speed of an object in circular orbit:

v = sqrt(GM/R)

where G is the gravitational constant, M is the mass of the Earth, R is the distance between the center of the Earth and the satellite.

Converting the units to meters and kilograms:

G = 6.67 × 10^-11 m^3/kg s^2

M = 5.98 × 10^24 kg

R = (36000 + 6.37 × 10^6) × 1000 = 4.23 × 10^7 m

Plugging in the values:

v = sqrt((6.67 × 10^-11) × (5.98 × 10^24) / (4.23 × 10^7))

v ≈ 3075.58 m/s

Finally, we can convert this to miles per hour:

v = 3075.58 m/s x (3600 s/hr) / (1609.34 m/mi) = 6873.18 mi/hr

Therefore, the answer is option A. 306889 mi/hr is incorrect.

Answer:

Explanation:

a. The compact car going 70 MPH has more kinetic energy than the tractor trailer going 15 MPH. Kinetic energy is proportional to the square of the velocity, so even though the tractor trailer may have more mass, the higher velocity of the compact car results in greater kinetic energy.

b. The SUV and the pickup truck have the same kinetic energy since they have the same mass and velocity.

c. The compact car going 45 MPH has the most kinetic energy since it has the highest velocity out of the three vehicles. The SUV going 35 MPH has less kinetic energy, and the school bus going 15 MPH has the least kinetic energy.

Answer:

Play tennis, nothing can train you better for the sport than the sport itself. However, tennis is one of those unique sports that combine nearly all components of fitness including power, agility, speed, flexibility, reaction time, balance, coordination, cardiovascular endurance and muscular endurance.

Explanation:

Answer:

Explanation:

We can use the following kinematic equation to solve this problem:

y = y0 + tanθ(x - x0) - (gx²)/(2v₀²cos²θ)

where

y = 0 (since the target is at the same height as the release height)

y0 = 0

x0 = 0

x = 82.0 m

v₀ = 40.0 m/s

g = 9.81 m/s²

We want to solve for θ.

Rearranging the equation and substituting the values, we get:

tanθ = (xg)/(2v₀²)

θ = tan⁻¹[(xg)/(2v₀²)]

θ = tan⁻¹[(82.0 m)(9.81 m/s²)/(2(40.0 m/s)²)]

θ ≈ 18.1°

Therefore, the archer must release the arrow at an angle of approximately 18.1 degrees to hit the bull's-eye.

Answer:

a. Chemical energy from the battery is converted to electrical energy in the flashlight.

Explanation:

Inertia refers to the tendency of an object to resist changes in its motion. In baseball terms, a baseball that is at rest on the ground has a high level of inertia because it is resistant to moving until an external force, such as a player's bat, acts on it.

Momentum, on the other hand, is the product of an object's mass and velocity and refers to the quantity of motion that an object possesses. In baseball terms, a baseball that is moving at a high velocity, such as when it is hit by a bat, has a high level of momentum.

To illustrate the difference between inertia and momentum in baseball, consider the scenario of a baseball that is hit by a bat. Before the bat hits the ball, the ball is at rest and has a high level of inertia. However, once the bat hits the ball, the ball gains momentum and begins to move. As the ball moves, it continues to possess momentum, but its inertia gradually decreases as it encounters external forces, such as air resistance and friction from the ground, which act to slow it down.