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

12J

Step-by-step explanation:

Given parameters:

Mass = 1.5kg

Impulse = 6kgm/s

let us start first by find the velocity with which this body moves;

Impulse = mass x velocity

Velocity = Impulse / mass = 6/ 1.5 = 4m/s

Initial velocity = 0m/s

Unknown:

Resulting kinetic energy = ?

Solution:

To solve this problem use the formula below:

K.E =
`(1)/(2)` m (v - u)²

m is the mass

v is the final velocity

u is the initial velocity

So;

K.E =
`(1)/(2)` x 1.5 x (4 - 0)²

K.E = 1.5 x 8 = 12J