Solveeit Logo

Question

Question: The potential energy of a particle of mass 5 kg moving in the x – y plane is given by, U = (–7x + 24...

The potential energy of a particle of mass 5 kg moving in the x – y plane is given by, U = (–7x + 24y) J where x and y being in metre. If the particle starts from rest from origin, then speed of particle at t = 2s is :

A

5 m/s

B

14 m/s

C

17.5 m/s

D

10 m/s

Answer

10 m/s

Explanation

Solution

Sol. Q = – = –[–7 + 24]

\ F = 72+242\sqrt { 7 ^ { 2 } + 24 ^ { 2 } } = 25 NŽ a = F/m = 25/5 = 5 m/s2

Q v = u + at

= 0 + 5 × 2 = 10 m/s