A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of 30° with horizontal with an effective acceleration of 1 m s -2 . The power delivered by the puling force at t =10 s from the start is_____W.
[Use g = 10 m s -2 ]
(Calculate the nearest integer value)
Text Solution
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(300)
Let's consider the following free-body diagram:
From the above diagram, it can be written that
F-mgsin30 0 =ma ...
Substitute the values of the known parameters into equation and solve to calculate the force applied on the block.
F-50 sin30° =5 x 1
F =(5 + 25) N
= 30 N
The velocity of the block (v) at t = 10 s can be written as
v=0+1 ms -2 x 10s
=10 ms -1
Hence, the required power is given by
P=Fv
= 30 N x 10ms -1 = 300W
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