Question

At given t taken a body at rest which then moves with an acceleration, after 3 sec its momentum​

Answer 1

Answer:

We know force F=mass×acceleration-------(1)

Given time = 2 seconds

We can rewrite the equation (1) as

Force=mass×

Time(t)

Final(v)-Initial velocity(u)

--------(2)

Also change in momentum dp=p

final

−p

initial

= mass×change in velocity

Equation (2) becomes F=

dt

dp

Fdt=dp

Integrating the above equation we get:

F∫

0

2

dt=∫

p

i

p

f

dp

30×2 = P

f

−P

i

Therefore change in momentum = 60 kg m/s