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?
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?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 46PQ
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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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