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A child on a swing has a speed of 4.1 m/s at the low point of the arc. How high (in m) will the swing be at the high point?

Respuesta :

MathPhys

Answer:

0.86 m

Explanation:

Energy is conserved, so the initial kinetic energy equals the final potential energy. Kinetic energy is equal to half the mass times the square of the speed, and potential energy is equal to the weight times the height.

KE = PE

½ mv² = mgh

½ v² = gh

h = ½ v² / g

Plugging in values:

h = ½ (4.1 m/s)² / (9.8 m/s²)

h = 0.86 m

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