A 64-ka base runner begins his slide into second base when he is moving at a speed of 3.2 m/s. The coefficient of friction between his clothes and Earth is 0.70. He slides so that his speed is zero just as he reaches the base. Required:
a. How much mechanical energy is tout due to friction acting on the runner?
b, How far does he slide?

Explanation:

From the given information:

mass = 64 kg

speed = 3.2 m/s

coefficient of friction 0.70

The mechanical energy touted relates to the loss of energy in the system as a result of friction and this can be computed as:

Thus, the mechanical energy touted = 327.68 J

According to the formula used in calculating the frictional force

= 0.70 × 64  kg× 9.8 m/s²

= 439.04 N

The distance covered now can be determined as follows:

d = W/F

d = 327.68 J/  439.04 N

d = 0.746 m

the answer is b, have negligible mass