Question

An object of mass 10 kg has a momentum of 15 kg m/s. Find the average force required to accelerate the object to 10 m/s over 20 seconds.

Answer 1

Force = 4.25 Newton

Step-by-step explanation:

Given the following data;

Mass = 10 kg

Momentum = 15 Kgm/s

Time, t = 20 seconds

Final velocity, V = 10 m/s

To find the average force required;

First of all, we would determine the initial velocity of the object.

Momentum = mass * velocity

15 = 10 * velocity

Velocity = 15/10

Velocity = 1.5 m/s

Next, we would determine the acceleration of the object by using the first equation of motion;

V = U + at

10 = 1.5 + a*20

10 - 1.5 = 20a

8.5 = 20a

Acceleration, a = 8.5/20

Acceleration, a = 0.425 m/s²

Lastly, we would find the average force by using the formula;

Force = mass * acceleration

Force = 10 * 0.425

Force = 4.25 Newton