Question

Calculate the kinetic energy of a body of mass 0.2 kg and momentum 20 kg metre per second

Answer 1

Answer:

given ,

p=20kg m/s

m = 0.1kg

Kinetic energy , k = 1/2 mv²

momentum , p = mv

K = 1/2m{p/m}²

  =  p² / 2m

∴ , K = (20)²/ 2*0.1

       = 2000J

       =  2*10³ J

Explanation:

Answer 2

Concept:

Kinetic energy is a type of energy that is present in a particle or object in motion. It is formulated as- KE = 1/2 mv²

Given:

Mass = 0.2 kg

Momentum = 20 kg m/sec

Find:

We need to determine the kinetic energy of the body

Solution:

Kinetic energy is a type of energy that is present in a particle or object in motion.

When work, which entails the transfer of energy, is done on an object by applying a net force, that object acquires kinetic energy.

Mathematically, kinetic energy is calculated as, KE = 1/2 mv²

We know, that Momentum, P = mv where m is mass and v is the velocity of the body

Therefore, v = P/m

It has been given that momentum is equal to 20 kg and m is 0.2 kg

Therefore, v = 20/0.2

v = 100

Now, the formula of kinetic energy becomes, KE = 1/2 mv²

KE = 1/2 (0.2)(100)²

KE = 1000 Joules.

Thus, the kinetic energy of a body is 1,000 Joules.

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