Question

Gravel is dropped into a conveyor belt at the rate of $0.5\text{Kg/s}$. Find the extra force required to keep the belt moving at $2\text{m/s}$.

• A. $1\text{N}$
• B. $2\text{N}$
• C. $4\text{N}$
• D. $5\text{N}$

Answer 1

The correct option is A $1\text{N}$

Required velocity at which the belt should be moving $=v=2\text{m/s}$
Amount of gravel dropped into a conveyor belt per second $=m=0.5\text{kg}$
Force required $=\frac{m(v-u)}{t}=\frac{0.5(2-0)}{1}=1\text{N}$