Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring (spring constant 240 N/m) to her belt, and the other end to a hook on the wall. A fellow astronaut then pulls her back 17.0 cm and releases her. The period of her ensuing motion is 3.15 s. What is her mass? What maximum acceleration does she experience?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring (spring constant 240 N/m) to her belt, and the other end to a hook on the wall. A fellow astronaut then pulls her back 17.0 cm and releases her. The period of her ensuing motion is 3.15 s. What is her mass? What maximum acceleration does she experience?


B Astronauts in space cannot weigh themselves by standing on a bathroom scale.
determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end
of a large spring (spring constant 240 N/m) to her belt, and the other end to a hook on the
Instead, they
A fellow astronaut then pulls her back 17.0 cm and releases her.
The period of her
What maximum acceleration does she experience?
wall.
ensuing motion is 3.15 s.
What is her mass?
Sketch the situation, defining all your variables.
For each equation
What physics equation(s) will you utilize in order to solve this problem?
you list, give a justification for why it applies to this situation.
Apply your equation(s) to solve, first for an algebraic expression(s), then for any numerical
answer(s).
Show the units of your answer(s), and how you got them.
Transcribed Image Text:B Astronauts in space cannot weigh themselves by standing on a bathroom scale. determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring (spring constant 240 N/m) to her belt, and the other end to a hook on the Instead, they A fellow astronaut then pulls her back 17.0 cm and releases her. The period of her What maximum acceleration does she experience? wall. ensuing motion is 3.15 s. What is her mass? Sketch the situation, defining all your variables. For each equation What physics equation(s) will you utilize in order to solve this problem? you list, give a justification for why it applies to this situation. Apply your equation(s) to solve, first for an algebraic expression(s), then for any numerical answer(s). Show the units of your answer(s), and how you got them.
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