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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 3 / Problem 15E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Answer: Inside a starship at rest on the earth, a ball

Chapter 3, Problem 15E

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QUESTION:

Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table and lands a distance D from the foot of the table. This starship now lands on the unexplored Planet X. The commander, Captain Curious, rolls the same ball off the same table with the same initial speed as on earth and finds that it lands a distance 2.76D from the foot of the table. What is the acceleration due to gravity on Planet X?

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QUESTION:

Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table and lands a distance D from the foot of the table. This starship now lands on the unexplored Planet X. The commander, Captain Curious, rolls the same ball off the same table with the same initial speed as on earth and finds that it lands a distance 2.76D from the foot of the table. What is the acceleration due to gravity on Planet X?

ANSWER:

Step 1 of 3

This problem can be considered as a projectile motion fired at an angle of from a height of “h”.

So,

and which are the horizontal and vertical displacements of the ball.

Again,

--------------(1)

and -----------------(2)

When the ball reaches the bottom, the vertical displacement can be set to zero. So,

----------------(3)

This is the time required for the ball to reach the ground.

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