a vechile having a mass of 500kg is moving with a speed of 10m/s. Sand is dropped into it at the rate of 10kg/min. What force is needed to keep the vechile moving with uniform speed​

1.67 N

Explanation:

Applying,

F = u(dm/dt)+m(du/dt) Equation 1

Where F = force, m = mass of the vehicle, u = speed.

Since u is constant,

Therefore, du/dt = 0

F = u(dm/dt) Equation 2

From the question,

Given: u = 10 m/s, dm/dt = 10 kg/min = (10/60) kg/s

Substitute these values into equation 2

F = 10(10/60)

F = 100/60

F = 1.67 N