Question icon
Grade 10Mechanics

A block slides down an inclined plane of slope angle ? with constant velocity. It is then projected up the same plane with an initial velocity 'u' . How far up the incline will it move before coming to rest?

Profile image of Kaushik Ram
15 Years agoGrade 10
Answers icon

2 Answers

Profile image of vikas askiitian expert
15 Years ago

block moves down the plane with constant velocity it means net force is zero...

force due to friction (f) = mgsin@                              (@ is the angle of plane)

net retardation force when body is projected upward is (f+mgsin@)

 f = mgsin@ so

net retardation force = 2mgsin@

     ma = mgsin@

     a(retardation) = 2gsin@        .............1

 V2 = U2 - 2aS

finally velocity becomes 0 so

  U2 = 2aS

 S = U2/2a

    =u2/4gsin@

Profile image of Rishi Sharma
6 Years ago
Dear Student,
Please find below the solution to your problem.

block moves down the plane with constant velocity it means net force is zero...
force due to friction (f) = mgsin@ (@ is the angle of plane)
net retardation force when body is projected upward is (f+mgsin@)
f = mgsin@ so
net retardation force = 2mgsin@
ma = mgsin@
a(retardation) = 2gsin@ .............1
V2 = U2 - 2aS
finally velocity becomes 0 so
U2 = 2aS
S = U2/2a
=u2/4gsin@

Thanks and Regards