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Astronauts in space “weigh” themselves by oscillating on a

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight ISBN: 9780321740908 69

Solution for problem 61P Chapter 6

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Problem 61P

Problem 61P

Astronauts in space “weigh” themselves by oscillating on a spring. Suppose the position of an oscillating 75 kg astronaut is given by x =(0.30 m) sin ((π rad/s) · t), where t is in s. What force does the spring exert on the astronaut at (a) t = 1.0 s and (b) 1.5 s? Note that the angle of the sine function is in radians.

Step-by-Step Solution:

Solution 61P

Step 1 of 5

Using the given position relation, which is during oscillation of a astronaut with mass  on a spring. We need to calculate the force exerted by the spring on the astronaut at time  and .

Given equation for position,

                                …………..1

                                Where  is time in seconds.

Step 2 of 5

Chapter 6, Problem 61P is Solved
Step 3 of 5

Textbook: Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Edition: 3
Author: Randall D. Knight
ISBN: 9780321740908

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