Questions
A block of mass m is projected up an inclined plane of inclination with an initial velocity u. If the coefficient of kinetic friction between the block and the plane is , the distance up to which the block will rise up the plane, before coming to rest, is given by
detailed solution
Correct option is C
Refer to Fig. Since the block is projected upwards, it rises after overcoming two forces: (i) the component mg sin θ of the weight mg and (ii) the force of friction F= mg sin θ, both acting downwards. Therefore, the total downward acceleration isa=−gsinθ−gsinθ=−2gsinθLets be the distance moved up the plane before the block comes to rest. Then, from v2−u2=2as, we have0−u2=2×(−2gsinθ)×s or s=u24gsinθHence, the correct choice is (3).Similar Questions
A horizontal force F is applied on a block of mass m placed on a rough inclined plane of inclination . The normal reaction N is
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