A speed skater goes around a turn that has a radius of 31 m. The skater has a speed of 12 m/s and experiences a centripetal forceof 450 N. What is the mass of the skater?NumberiUnits<

Answered: A speed skater goes around a turn that…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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A speed skater goes around a turn that has a radius of 31 m. The skater has a speed of 12 m/s and experiences a centripetal force
of 450 N. What is the mass of the skater?
Number
i
Units
<

Expert Solution

Step 1

Centripetal force is the force that is required to keep an object moving in a circular path, and it is always directed toward the center of the circle. The magnitude of the centripetal force can be calculated using the following formula:

F = (mv^2)/r

where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

We can rearrange the above equation to solve for the mass of the skater:

m = Fr/v^2

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