Question

The velocity of a car changes from 4 m/s to 10 m/s. Find the change in linear momentum if mass of the car is 400 kg. ​

Answer 1

Step-by-step explanation:

Mass of the body =10 kg

Initial velocity u=4 m/s

Final velocity v=8 m/s

Time t=2s

a) Momentum before force acts p

1

=m×u=10×4=40kg.m/s

b) Momentum after force acts p

2

=m×v=10×8=80kg.m/s

c) Gain in momentum per second =

2

40

=20kg.m/s

d) Acceleration a=

t

v−u

=

2

8−4

=2m/s

2

Force =m×a=10×2=20 N

Answer 2

Given - Mass = 400 kg

Velocity change = 4 m/s to 10 m/s

Find - Change in linear momentum

Solution - Change in linear momentum can be calculated by the formula = m(V2 - v1). In the formula, m stands for mass, V2 stands for final velocity and V1 stands for initial velocity.

Keeping the values in the formula to find change in linear momentum.

Change in linear momentum = 400(10 - 4)

Change in linear momentum = 400*6

Change in linear momentum = 2400 kg m/s.

Hence, change in linear momentum is 2400 kg m/s.