Question

30 N of force is needed to increase the velocity of a body of mass 5 kg from to 10ms–¹ to 22ms-¹

for the time duration of ……… . (2s, 6s, 12s)​

Answer 1

Given:-

• Force ,F = 30 N

• Mass ,m = 5kg

• Initial velocity,u = 10m/s

• Final velocity ,v = 22m/s

To Find:-

• Time taken ,t

Solution:-

As we know that force is the product of mass and acceleration.

Firstly we calculate the acceleration of the body

• F = m×a

Substitute the value we get

→ 30 = 5×a

→ a = 30/5

→ a = 6m/s²

Therefore the acceleration of the body is 6m/s²

Now , Acceleration is the rate of change of velocity at per unit time

• a = v-u/t

Substitute the value we get

→ 6m/s = 22-10/t

→ 6 = 12/t

→ 6 ×t = 12

→ t = 12/6

→ t = 2s

Therefore the time taken by the car is 2 second.