A group of astronauts lands on an unknown planet of radius 6.00 x 106 m. They drop a test mass from 5 m high and notice it takes 1.0 s to hit the ground. What is the mass of the unknown planet? a) 3.8 x 1024 kg b) 4.2 x 1024 kg c) 5 x 1024 kg d) 5.4 x 1024 kg e) 5.8 х 1024 kg
A group of astronauts lands on an unknown planet of radius 6.00 x 106 m. They drop a test mass from 5 m high and notice it takes 1.0 s to hit the ground. What is the mass of the unknown planet? a) 3.8 x 1024 kg b) 4.2 x 1024 kg c) 5 x 1024 kg d) 5.4 x 1024 kg e) 5.8 х 1024 kg
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
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 5OQ
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Question
![A group of astronauts lands on an unknown planet of radius 6.00 x 106 m. They drop a test
mass from 5 m high and notice it takes 1.0 s to hit the ground. What is the mass of the
unknown planet?
a) 3.8 x 1024 kg
b) 4.2 x 1024 kg
c) 5 x 1024 kg
d) 5.4 x 1024 kg
e) 5.8 x 1024 kg](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd25862a1-37f9-4b5c-af12-2fcd148d19b2%2F14d7eb4d-466d-4709-a37f-13a90347fce1%2Fb8kxmu_processed.png&w=3840&q=75)
Transcribed Image Text:A group of astronauts lands on an unknown planet of radius 6.00 x 106 m. They drop a test
mass from 5 m high and notice it takes 1.0 s to hit the ground. What is the mass of the
unknown planet?
a) 3.8 x 1024 kg
b) 4.2 x 1024 kg
c) 5 x 1024 kg
d) 5.4 x 1024 kg
e) 5.8 x 1024 kg
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1 :Introduction
According to Newton's laws of motion ,the distance travelled is calculated by using the formula , where is the initial velocity , is the acceleration due to gravity , is the distance and is the time taken .
The acceleration due to gravity is calculated by using the formula , where is the gravitational constant , M is the mass of the planet and is the radius of the planet .
Step 2 :Calculation of the acceleration due to gravity
Calculate the acceleration due to gravity by using the formula , where is the initial velocity , is the acceleration due to gravity , is the distance and is the time taken .
Step by step
Solved in 4 steps
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