Question

A body of mass 2 kg at rest iS supplied constant power 1 J/sec.. the distance travelled by the body after 6 sec. is:

Answer 1

Answer:

2under root 6m but i am not sure about this answer

Answer 2

A body of mass 2 kg at rest is supplied constant power 1 J/s.

To find : The distance travelled by the body after 6 sec is ....

solution : Power = energy/time

⇒Pt = energy = 1/2 mv²

⇒2Pt/m = v²

⇒v = √{2P/m} √t

⇒dx/dt = √{2P/m} √t

⇒∫dx = √{2P/m} ∫√t dt

⇒x = √{2P/m} 2t√t/3

putting , P = 1 J/s, m = 2 kg, t = 6 sec

so, x = √{2 × 1/2) 2(6√6)/3 = 4√6

Therefore the distance travelled by the body after 6 sec is 4√6 m