Question

Particle of mass m is moving in a straight line with momentum p starting at time t =0 a force f=kt acts in same direction during time interval t that its momentum changes from p to 3p the value of t

Answer 1

Answer:

The value of t is 2√ p/k

Explanation:

According to the problem the mass of the particle is m

momentum is p

now another force f= kt is working on the same direction

therefore,

dp/dt= f= kt

integration both side we get

∫ dp [ from p to 3p] = ∫ kt dt [from 0 to t]

2p= kt^2/2

t= 2√ p/k