Question

Kinetic energy of a body of mass 4 kg is 200j. Calculate it's momentum​

Answer 1

Answer:

40

Explanation:

K.E = 200 J

Mass = 4 kg

So,

v²= (200/4)×2

v²= 100

v = 10

Therefore, momentum = m×v

= 4×10

= 40

Answer 2

Answer:

The momentum of the body is 40 kg m/s.

Explanation:

The kinetic energy in terms of momentum is given as,

$K=\frac{p^2}{2M}$                 (1)

Where,

K=kinetic energy of the body

p=momentum of the body

M=mass of the body

From the question we have,

M=4kg

K=200J

By substituting the value of K and p in equation (1) we get;

$200=\frac{p^2}{2\times 4}$

$p^2=200\times 2\times 4$

$p=\sqrt{200\times 2\times 4} =\sqrt{1600} =40 kg m/s$

Hence, the momentum of the body is 40 kg m/s.