Chapter 1: Q52P (page 41)

A basketball has a mass of 570g. Heading straight downward, in the y-direction, it hits the floor with the speed of 5 m/s and rebounds straight up with nearly the same speed. What was the momentum change $∆ \overset{⇀}{p}$ ?

Short Answer

Expert verified

Answer

The momentum change will be ( 0,5.7,0 ) kg m/s.

Step by step solution

Identification of given data

The given value is below as,

Mass of the basketball m= 570 g =0.57 kg.

Value of initial and final velocities, $\overset{⇀}{v_{i}} = (0, - 5, 0) m / s, \overset{⇀}{v_{f}} = (0, 5, 0) m / s$

Momentum

Momentum is nothing but the product of the mass of the object and the velocity of the object.

Calculation for the momentum change

Initial momentum can be calculated as:

$\overset{⇀}{p_{i}} = m \overset{⇀}{v_{i}}$

Initial momentum can be calculated as:

$\overset{⇀}{p_{f}} = m \overset{⇀}{v_{f}}$

Change in the momentum can be written as follows:

$∆ \overset{⇀}{p} = \overset{⇀}{p_{f}} - \overset{⇀}{p_{i}}$

Putting the values and we get,

$∆ \overset{⇀}{p} = \overset{⇀}{m v_{f}} - \overset{⇀}{m v_{i}} = 0.57 k g \times (0, 5, 0) m / s - 0.57 k g \times (0, - 5, 0) m / s = 2 \times 0.57 k g \times (0, 5, 0) m / s = (0, 5.7, 0) k g . m / s$

Therefore, the change in momentum in the tennis ball is $= (0, 5.7, 0) k g . m / s$ .

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A basketball has a mass of 570g. Heading straight downward, in the y-direction, it hits the floor with the speed of 5 m/s and rebounds straight up with nearly the same speed. What was the momentum change $∆ \overset{⇀}{p}$ ?

Short Answer

Step by step solution

Identification of given data

Momentum

Calculation for the momentum change

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A basketball has a mass of 570g. Heading straight downward, in the y-direction, it hits the floor with the speed of 5 m/s and rebounds straight up with nearly the same speed. What was the momentum change ∆p⇀?

Short Answer

Step by step solution

Identification of given data

Momentum

Calculation for the momentum change

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

Particle Model of Matter

Electricity

Classical Mechanics

Fundamentals of Physics

Fields in Physics

Study anywhere. Anytime. Across all devices.

A basketball has a mass of 570g. Heading straight downward, in the y-direction, it hits the floor with the speed of 5 m/s and rebounds straight up with nearly the same speed. What was the momentum change $∆ \overset{⇀}{p}$ ?