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A tennis ball is dropped on a horizontal smooth surface. It bo

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A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy $K$ with time $t$ most appropriately? The figures are only illustrative and not to the scale.

Name: Video solution 1: A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy K with time t most appropriately? The figures are only illustrative and not to the scale.
Uploaded: 2022-05-14T14:28:53.000Z
Duration: 3 min

Views: 5,376 students

Updated on: May 14, 2022

Book:

Mechanics Volume 1 (DC Pandey)

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A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy

K

with time

t

most appropriately? The figures are only illustrative and not to the scale.

11 mins ago

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11 mins ago

Text solutionVerified

(b)

K = \frac{1}{2} m g^{2} t^{2}

K \propto t^{2}

Therefore,

K

t

graph is parabola.
During collision retarding force is just like the spring force

(F \propto x)

, therefore kinetic energy first decreases to elastic potential energy and then increases.
Most appropriate graph is therefore (b).

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Question Text	A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy $K$ with time $t$ most appropriately? The figures are only illustrative and not to the scale.
Updated On	May 14, 2022
Topic	Motion in a Plane
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	195
Avg. Video Duration	3 min

Text solutionVerified

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