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A block slides down an inclined plane of...

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?

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The correct Answer is:
`2.00`
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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 ?

(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.

Knowledge Check

  • 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 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)`

  • 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)`

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