Question

A block of mass 2 kg is free to move along X-axis. It is at rest and a force depending on time F_(t) is applied on the block at t = 0. Force F_(t) depends on time according to diagram. Kinetic energy of the block after 4.5 s is:

(a) 4.50 J

(b) 7.50 J

(c) 5.06 J

(d) 14.06 J

Answer 1

Correct option is : (c) 5.06 J

According to impulse momentum theorem,

I = ∫F dt = ∆p

Area of (∆OAB + BCD) = pi - 0

or K = 5.06 J

Thus, option (c) is correct.