Question

a net force of 100 Newton's is applied to a 20-kilogram cart that is already moving at 3 meters per second. The final speed of the cart was 8 meters per second. For how long was the force applied?​

Answer 1

The Force is applied for 1 sec

Explanation:

Given as :

The Total force applied on cart = 100 Newton

The mass of cart = 20 kg

The initial velocity of cart ( v1) = 3 meter per second

The final velocity of cart (v2) = 8 meter per second

∵ Force = mass × acceleration

Or, 100 N = 20 kg × acceleration

Or, Acceleration =
`(100)/(20)`

Or, Acceleration = 5 Newton per kg

Again ∵ Acceleration = Rate of change of velocity

I.e Acceleration =
`(v2 - v1)/(t)`

Or, 5 Newton per kg =
`(8 -3 )/(t)`

Or, Time =
`(5)/(5)` = 1 sec

Hence The Force is applied for 1 sec Answer