Question

64.If the block in the shown arrangement is acted upon by a constant force F for t> 0, its
maximum speed will be:
(A) F/ Vmk
(B) 2 F/mk
(C) F/2mk
(D) 2F /mk​

Answer 1

Answer:

The correct option is (A):  F/√K/m

Explanation:

As we know that

F = kx

Since x = F/k

From work energy theorem

Work done = Δ  K.E

Fx + (-1/2Kx^2) = 1/2 mv^2 - 0

Kx^2 -1/2Kx^2 =  1/2 mv^2

1/2Kx^2  = 1/2 mv^2

After cancellation:

Kx^2  =  mv^2

V = x √K/m

Put the value of x

V = F/k  x √K/m

After cancellation the equation becomes:

V = F / √K/m

Thus the maximum speed will be V = F / √K/m.

Answer 2

Explanation:

I hope it helps you.........