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6. Several children, pretending that they are playing

suspend a rope from an
overhead tree limb. A child of mass 40 kg running
grabs the rope and swings
off the level ground. What is the maximum height they will reach?

User Vasyl
by
6.4k points

1 Answer

4 votes

Answer: 12.5m

Step-by-step explanation:

The maximum height the child can reach will be determined by the initial kinetic energy of the child, which is given by KE = 1/2 mv^2. Since the child is running, we can assume that its initial velocity is around 5 m/s. Therefore, the maximum height the child can reach is given by:

Height = (1/2)*(40 kg)*(5 m/s)^2 / (9.8 m/s^2)

Height = 12.5 m

Therefore, the maximum height the child can reach is 12.5 m.

User Spas
by
7.2k points