Home
Class 11
PHYSICS
A block slides down a rough inclined pla...

A block slides down a rough inclined plane of slope angle `theta` with a constant velocity. It is then projected up the same plane with an initial velocity v. The distance travelled by the block up the plane before coming to rest is

A

`(v^(2))/(4g sin theta)`

B

`(v^(2))/(2g sin theta)`

C

`(v^(2))/(g sin theta)`

D

`(4gv^(2))/(sin theta)`

Text Solution

Verified by Experts

The correct Answer is:
A
`a_(d)=g(sin theta-mu_(k)costheta)`
`a_(u)=g(sin theta+mu_(k)cos theta), v^(2)-u^(2)=2as`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)(PULLING/PUSHING A BODY)|3 Videos

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)(CIRCULAR MOTION)|6 Videos

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)(MOTION ON A HORIZONTAL ROUGH SURFACE)|10 Videos

  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-III(C.W)|52 Videos

  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos

Similar Questions

Explore conceptually related problems

A block slides down an inclined plane of angle 53^(@) with constant velocity .It is then projected up the same plane with an initial velocity of 8m//s . How far up (in m) the inclione will it move before coming to rest?

A block slides down an inclined plane of slope theta with constant velocity. It is then projected up the plane with an initial speed u . How far up the incline will it move before coming to rest ? Will its slide down again ?

Knowledge Check

  • A block slides down a rough inclined plane of slope angle theta with a constnat velocity. It is then projected up the same plane with an intial velocity v the distance travelled by the block up the plane coming to rest is .

    A
    `(v^(2))/(4sintheta)`
    B
    `(v^(2))/(2sintheta)`
    C
    `(v^(2))/(gsintheta)`
    D
    `(4gv^(2))/(sintheta)`

  • A block can slides down an inclined plane of slope and theta , with constant velocity. If it is projected up the same plane with an initial speed v_(0) , then

    A
    The distance moved up the incline before coming to rest `(v_(0)^(2))/(2 g sin theta)`
    B
    The distance moved up the incline before coming to rest `(v_(0)^(2))/(4 g sin theta)`
    C
    Block will remain at rest after reaching maximum height
    D
    Block will moving down with uniform velocity after reaching maximum height

  • A block of mass m slides down an inclined plane which makes an angle theta with the horizontal. The coefficient of friction between the block and the plane is mu . The force exerted by the block on the plane is

    A
    `mg cos theta`
    B
    `sqrt(mu^(2) + 1) mg cos theta`
    C
    `(mumg cos theta)/(sqrt(mu^(2) + 1))`
    D
    `mumg theta`

    • Similar Questions

    Explore conceptually related problems

    (a) A block slides down an incline of angle 45^(@) with an acceleration (g)/(2 sqrt(2)) . Find the friction coefficient. (b) A block slides down at 45^(@) inclined plane in twice the time it takes to slide down a smooth 45^(@) incline. What is friction co-efficient between the block and the incline? ( c) A block slides down on a rough inclined plane of inclination 30^(@) with constant velocity. If this block is projected up the plane with a velocity of 10 m//s , then at what distance along the inclined plane , the block will come to rest? (d) A body is launched up on a rough inclined plane of inclination theta . If time of ascent is half of time of descent, find the friction coefficient.

    A block o fmass m is thrown up the plane up the plane with some intial velocity as shown On the block

    A solid cylinder rolls up an inclined plane of inclination theta with an initial velocity v . How far does the cylinder go up the plane ?

    A block of mass m slides down an inclined plane of inclination theta with uniform speed. The coefficient of friction between the block and the plane is mu . The contact force between the block and the plane is

    A block of mass m slides down an inclined plane of inclination theta with uniform speed The coefficient of friction between the block and the plane is mu . The contact force between the block and the plane is .

    Home
    Profile