At an ice show, a skater S launches herself with speed v while tethered to a fixed point by a rope under tension. She then coasts in a circle and with negligible friction. Prove that her speed does not change.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.12P: A particle is projected vertically upward in a constant gravitational field with an initial speed 0....
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At an ice show, a skater S launches herself with speed v while tethered to a fixed point by a rope under tension. She then coasts in a circle and with negligible friction. Prove that her speed does not change.

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