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Physics / Physics: Principles with Applications 6 / Chapter 7 / Problem 20P

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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(III) Suppose the force acting on a tennis ball (mass

Chapter 1, Problem 20P

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QUESTION:

Suppose the force acting on a tennis ball (mass 0.060 kg) points in the +x direction and is given by the graph of Fig. 7-33 as a function of time, (a) Use graphical methods (count squares) to estimate the total impulse given the ball, (b) Estimate the velocity of the ball after being struck, assuming the ball is being served so it is nearly at rest initially.

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QUESTION:

Suppose the force acting on a tennis ball (mass 0.060 kg) points in the +x direction and is given by the graph of Fig. 7-33 as a function of time, (a) Use graphical methods (count squares) to estimate the total impulse given the ball, (b) Estimate the velocity of the ball after being struck, assuming the ball is being served so it is nearly at rest initially.

ANSWER:

Solution 20P:

We have to calculate the value of total impulse imparted to the ball using graphical method and the final velocity of the ball.

Step 1 of 4

Concept:

Impulse $\left({I}\right)$ of a force is equal to the product of force $\left({F}\right)$ and the time interval $\ \left({\Delta{}t}\right)$ for which the force acts on the body. It is also equal to the change in momentum $\left({\Delta{}P}\right)$ produced in the body of mass $m\ =0.060\ kg$ , having initial and final velocities ${v}_{f}\ \&\ {v}_{i}$ respectively. Mathematically,

$I\ =\ F\Delta{}t$

$I\ =\ \Delta{}P$

$I\ =\ m\left({{v}_{f}\ -\ {v}_{i}}\right)$

Impulse can be also obtained in graphical method. The area under force and time curve gives the value of impulse acting on the given body.

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