Question

A child on a swing reaches a maximum height when her center of mass is 0.7 m above the ground, at which point she is momentarily stationary. At the lowest point of the swing's motion, the center of mass of the child is 0.5 m above the ground. Assuming that total mechanical energy is conserved, calculate the speed of the child's center of mass at the lowest point.

Name: a child on a swing reaches a maximum height when her center of mass is 07 m above the ground at which point she is momentarily stationary at the lowest point of the swings motion the center 27492
Uploaded: 2023-06-01T12:49:57-08:00
Duration: 1 min 18 s
Channel: Ivan Kochetkov
Description: a child on a swing reaches a maximum height when her center of mass is 07 m above the ground at which point she is momentarily stationary at the lowest point of the swings motion the center 27492

          A child on a swing reaches a maximum height when her center of mass is 0.7 m above the ground, at which point she is momentarily stationary. At the lowest point of the swing's motion, the center of mass of the child is 0.5 m above the ground. Assuming that total mechanical energy is conserved, calculate the speed of the child's center of mass at the lowest point.

Added by David J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

06/01/2023

Step 1

At the maximum height, the potential energy is given by the equation PE = mgh, where m is the mass of the child, g is the acceleration due to gravity, and h is the height above the ground. In this case, the potential energy is PE = mgh = mg(0.7 m). Show more…

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A child on a swing reaches a maximum height when her center of mass is 0.7 m above the ground, at which point she is momentarily stationary. At the lowest point of the swing's motion, the center of mass of the child is 0.5 m above the ground. Assuming that total mechanical energy is conserved, calculate the speed of the child's center of mass at the lowest point.