A conveyor belt is moving horizontally with a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The body is placed on a moving belt. Initially, the body is at rest relative to the ground, but it has a velocity relative to the belt. The kineti

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(C) The body is placed on a moving belt. Initially, the body is at rest relative to the ground, but it has a velocity relative to the belt. The kinetic friction force $f_k$ acts on the body to oppose this relative motion.$f_k = \mu_k N = \mu_k mg$Using Newton's second law, the deceleration $a$ of the body relative to the belt is:$ma = \mu_k mg$$a = \mu_k g = 0.2 	imes 10 = 2 \,m \,s^{-2}$The initial velocity of the body relative to the belt is $u = 2 \,m \,s^{-1}$. The body comes to rest relative to the belt when its final velocity $v = 0$.Using the equation of motion $v^2 = u^2 - 2as$:$0^2 = (2)^2 - 2(2)s$$4 = 4s$$s = 1 \,m$Thus, the distance travelled by the body before coming to rest relative to the belt is $1 \,m$.

Similar Questions

Consider a car moving along a straight horizontal road with a speed of $72 \, km/h$. If the coefficient of kinetic friction between the tyres and the road is $0.5$,the shortest distance in which the car can be stopped is ........ $m$. $[g = 10 \, m/s^2]$

$A$ body of mass $2$ kg is moving on the ground and comes to rest after some time. The coefficient of kinetic friction between the body and the ground is $0.2$. The retardation in the body is ...... $m/s^2$.

The coefficient of friction between the block and the surface is $0.03$. Find the acceleration of the system in $m/s^{2}$. $(g = 10\,m/s^{2})$

$A$ cylinder of $10 \, kg$ is sliding on a plane with an initial velocity of $10 \, m/s$. If the coefficient of friction between the surface and the cylinder is $0.5$,then the distance it will cover before stopping is ........ $m$. $(g = 10 \, m/s^2)$

$A$ uniform chain of length $L$ is lying on a horizontal table. If the coefficient of friction between the chain and the table top is $\mu$,what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?

Vedclass Test Series

Exam Paper Generator

Online Exam Module