Home
Class 11
PHYSICS
A block is projected along a rough horiz...

A block is projected along a rough horizontal road with a speed of 10 m/s. If the coefficient of kinetic friction is 0.10, how far will it travel before coming to rest?

Text Solution

Verified by Experts

Due to friction the body wil decelerate. Let the deceleratin be a.
`R-mg=0`
`rarr R=mg`……….ii
Again `ma-muR=0`
`rarr ma=mu mg`
`rarr a=mug=0.1xx10`
`=1m/s^2 `
Initial velocity `u= 10 m/s `
FiN/Al velocity, `v=0m/s`
`a=-1 m/s^2 (deceleration)
`S=(v^2-u^2)/(2a)`
`=0-(10^2)/2(-1)`
`=100/2 = 50 m` It will travel 50 m before coming to rest.
Promotional Banner

Similar Questions

Explore conceptually related problems

A block of mass 2 kg is kept on a rough horizontal floor an pulled with a force F. If the coefficient of friction is 0.5. then the minimum force required to move the block is :-

A car is moving along a straight horizontal road with a speed v_(0) . If the coefficient of friction between the tyres and the road is mu , the shortest distance in which the car can be stopped is

A block is released from rest from point on a rough inclined place of inclination 37^(@). The coefficient of friction is 0.5.

A block B is pushed momentarily along a horizontal surface with an initial velocity V. If mu is the coefficient of sliding friction between B and the surface, block B will come to rest after a time ?

A block of mass 1kg is at rest on a rough horizontal surface having coefficient of static friction 0.2 and kinetic friciton 0.15, find the frictional forces if a horizontal force, (a) F=1N (b) F=1.96N (c) F=2.5N is applied on a block

A block is kept on a rough horizontal surface as shown. Its mass is 2 kg and coefficient of friction between block and surface (mu)=0.5. A horizontal force F is acting on the block. When

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

A bullet of mass 50g moving with velocity 600m//s hits block of mass 1.0kg placed on a rough horizontal ground and comes out of the block with a velocity of 400m//s . The coefficient of friction between the block and the ground is 0.25 . Neglect loss of mass of the block as the bullet pierces through it. (a) In spite of the fact that friction acts a an external force, can you apply principle of conservation of momentum during interaction of the ullet with the block? (b) Find velocity of the block immediately after the bullet pierces through it. (c)FInd the distance the block will travel before it stops.

A body of mass 2 kg initially kg intially at rest moves under the action of an applied horizontal force of 7 N on a table with coefficient of kinetic friction = 0.1 Compute the (a) work done by the applied force in 10 s. (b) work done by friction in 10 s . work done by the net force on the body in 10 s. (d) Change in kinetic energy of the body in 10 s and interpret your details .