Question

A force of 20 N acts on a 2 kg mass for 10 seconds, what is the change in speed of mass?

A)20 m/s
B)10 m/s
C100 m/s
D)200 m/s

Answer 1

C) 100 m/s

Step-by-step explanation:

From the impulse theorem, the change in momentum of an object is equal to the product between the force applied on the object and the time interval during which the force is applied:

`m \Delta v = F \Delta t`

where the term on the left is the change in momentum, and where

m = 2 kg is the mass

`\Delta v` is the change in speed

F = 20 N is the force applied

`\Delta t = 10 s` is the time of the collision

Re-arranging the equation, we find the change in speed:

`\Delta v = (F \Delta t)/(m)=((20 N)(10 s))/(2 kg)=100 m/s`