The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On Planet #1, you drop a stone from rest, 63.8 m above the ground, and the stone hits the ground 3.88 s later. What is the value of g on Planet #1?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On Planet #1, you drop a stone from rest, 63.8 m above the ground, and the stone hits the ground 3.88 s later. What is the value of g on Planet #1?
   
16.44 m/s^2
   
32.89 m/s^2
   
8.48 m/s^2
   
4.24 m/s^2
Expert Solution
Step 1

Given data:

  • The displacement of the stone is s = 63.8 m
  • The time taken by the stone to hit the ground is t = 3.88 s

According to kinematics equation of motion.

s=ut+0.5gt2

Here, u=0 m/s is the initial velocity of the stone, g is the acceleration due to the gravity.

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