ppower

Question

3.2 Calculate the power required to pull a mass of 200 kg at a constant velocity of 4 m/s on a horizontal plane. The kinetic coefficient of friction is 0,8.

Answer 1

Given data :

mass ( m ) = 200 kg

constant velocity ( v ) = 4 m/s

kinetic coefficient of friction (µ_k) = 0.8

Earth gravity (g) = 9.8 m/s²

Power required to pull a mass (P) = ?

Gravity Force F_n = m g

Substitute m = 200 kg and g = 9.8 m/s²

F_n = (200)(9.8)

F_n = 1960 N

Friction Force F_f = F = µ_k F_n

Substitute µ_k) = 0.8 and F_n = 1960 N

F_f = (0.8)(1960)

F_f = 1568

Power P = F v

P = (1568) (4)

P = 6272 W

The power required to pulling is 6272 W