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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.

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Sagot :

QuasarJoseidn

Answer:

108J

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 = [tex]\frac{1}{2}[/tex] 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  = [tex]\frac{6}{1.5}[/tex]    = 4m/s

So;

 K.E  =  [tex]\frac{1}{2}[/tex]  x 6 x (6  - 0)²    = 108J

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