Question

The speed of a car weighing 1500 kg increases from 36 km/h to 72 kmh uniformly in 30 min. What will be the change in momentum with
respect to time of the car ?
a. 108000 kg m/s2
b. 15000 kg km/s
c. 108000 kg km/h
d. 54000 kg km/s
​

Answer 1

Amswer: 108000 kg m/s^2

Answer 2

The change in momentum with respect to the time of the car is 15000 kg km/s. (option b)

Given,

The mass of the car, m = 1500 kg

The initial velocity, u = 36 km/h

The final velocity, v = 72 km/h

To find,

The change in momentum of the car.

Solution,

This question can easily be solved using the formula for change in momentum.

u = 36 km/h = 10 m/s

v = 72 km/h = 20 m/s

Change in momentum,

Δp = m (v-u)

⇒ Δp = 1500 ( 20 - 10 )

⇒ Δp = 1500 × 10

⇒ Δp = 15000 kg m/s

Hence, we can conclude that the change in momentum of the car is 15000 km m/s.

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