Question

The impulse given to a body of mass 1.5 kg, is 6.0 kg • m•s? If the body was initially at rest what will its resulting kinetic energy be? Give your answer in J without units.

(Show Work)

Answer 1

108J

Step-by-step explanation:

Given parameters:

Mass the body = 1.5kg

Impulse = 6kgm/s

Initial velocity = 0m/s

Unknown:

Kinetic energy of the body = ?

Solution:

The kinetic energy of a body is the energy due to the motion of the body.

To solve this problem, we use the expression below:

K.E =
`(1)/(2)` m (V - U)²

m is the mass

V is the final velocity

U is the initial velocity

From;

Impulse = m V

6 = 1.5 x V

V =
`(6)/(1.5)` = 4m/s

So;

K.E =
`(1)/(2)` x 6 x (6 - 0)² = 108J