A block of mass m is kept on a platform which starts from rest with constant acceleration g/2 upwards as shown in figure. Work done by normal reaction on block in time t is :
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*Question:—
A block of mass m is kept on a platform which starts from rest with constant acceleration g/2 upwards as shown in figure. Work done by normal reaction on block in time t is :
*Answer:—
Since the acceleration is in upward direction, there will be a pseudo force acting on the block given as:—
→ Fp = m × g/2
Now applying the force balance on the block:—
→ N − mg = mg/2
→ N = 3mg/2
We know that the displacement of a body moving under gravity is given as:—
→ S = ut + 1/2gt²
Here initial velocity is zero.
Now,
work done W = NS = (3mg/2) (1/2gt²)
→ W = 3mg²t²
Hence we get answers W = 3mg²t².
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