A block having mass 4 kg is pushed down along an inclined plane of inclination 53° with a force of 40 N acting parallel to the incline. It is found that the block moves on the incline with an acceleration of 10 m/s 2 . The initial velocity of block is zero (take g = 10m/s 2 ).
(i) Find the work done by the applied force in the 2 seconds from starting of motion,
Text Solution
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(i) a (ii) c (iii) d
Sol.
f K = µ mg cos 53 º ,
40 – f K + mg sin 53 º = 4 (10)
f K = mg sin 53 º
Displacement in 1 sec S = 0 + 
(10) 2
S = 20 m
W F = 40 × 20 = 800 J,
W grav = 40 × 
× 20 = 640 J
= – 640 J
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