A bag is gently dropped on a conveyor belt moving at a speed of 2 m / s. The coefficient of friction between the conveyor belt and bag is 0.4 Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is: [Take .g =10 m / s -2]

Question

A bag is gently dropped on a conveyor belt moving at a speed of 2 m / s. The coefficient of friction between the conveyor belt and bag is 0.4 Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is: [Take .g =10 m / s -2] (A) 2 m (B) 0.5 m (C) 3.2 m (D) 0.8 ms

Tardigrade Admin · Accepted Answer

In frame of belt a =μ g =4 m / s 2, v =2 m / s , u =0 v 2= u 2+2 as ⇒ s =0.5 m

2 m

0.5 m

3.2 m

0.8 ms

In frame of belt a=μg=4m/s2,v=2m/s,u=0 v2=u2+2as ⇒s=0.5m

In frame of belt
$a = μg = 4 m / s^{2}, v = 2 m / s, u = 0$
$v^{2} = u^{2} + 2 a s$
$\Rightarrow s = 0.5 m$