anquinones08 anquinones08
  • 09-04-2024
  • Physics
contestada

An 80.0 kg student running at 3.5 m/s grabs a rope that is hanging vertically. How high will the student swing?

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MathPhys
MathPhys MathPhys
  • 09-04-2024

Answer:

0.63 m

Explanation:

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

KE = PE

½ mv² = mgh

h = ½ v² / g

h = ½ (3.5 m/s)² / (9.8 m/s²)

h = 0.63 m

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