Question

A conveyor belt is moving horizontally with a uniform velocity of $2$m/sec. Material is dropped at one end at the rate of $5$kg./sec. and discharge at the other end. Neglecting the friction, the force required to move the belt is (N).

• A. $10$
• B. $15$
• C. $20$
• D. $40$

Answer 1

The correct option is A $10$

Rate of change of mass $\frac{dm}{dt}=5kg/s$

Velocity of conveyor belt $v=2m/s$

Force required $F=\frac{dm}{dt}v=5\times 2=10N$