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Alik [6]
3 years ago
12

A baseball player slides into third base with an initial speed of 4.0 m/s . if the coefficient of kinetic friction between the p

layer and the ground is 0.40, how far does the player slide before coming to rest?
Physics
1 answer:
satela [25.4K]3 years ago
4 0
The work done by the friction force to stop the player is equal to his loss of kinetic energy:
W= \Delta K

The work done by the friction force is the magnitude of the force \mu m g times the distance covered by the player, d:
W= \mu mg d

The loss in kinetic energy is simply equal to the initial kinetic energy of the player, since the final kinetic energy is zero (the player comes to rest):
\Delta K=K_i =  \frac{1}{2}mv^2

Substituting into the first equation, we get:
\mu m g d=  \frac{1}{2}mv^2
from which we find d, the distance covered by the player:
d= \frac{v^2}{2 \mu g}= \frac{(4.0 m/s)^2}{2 \cdot 0.4 \cdot 9.81 m/s^2}=2.04 m
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