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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 3 / Problem 3.15

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

Chapter 3, Problem 3.15

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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

The ball moves with projectile motion with an initial velocity that is horizontal and has magnitude . The height of the table and are the same; the acceleration due to gravity changes from on earth to on planet .

On the earth

Velocity of the ball rolls off the top of a horizontal table

Acceleration due to gravity on earth

Horizontal range of the ball from the foot of the table

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