Question

A body of momentum 10kgms^-1 and 0.05kg calculate the kinetic energy of body​

Answer 1

Given:

Momentum of body = 10 kg m/s

Mass of body = 0.05 kg

To find:

Kinetic energy of body

Concept:

Momentum is a vector quantity represent in the inertia of a body. It is calculated as the product of velocity and mass.

Mass is defined as the the amount of matter present in a substance.

Kinetic energy is define as the the mechanical energy of any particle present due to its motion.

Calculation:

Let kinetic energy be KE

$KE = \dfrac{ {(momentum)}^{2} }{2 \times mass}$

$= > KE = \dfrac{ {(10)}^{2} }{2 \times (0.05)}$

$= > KE = \dfrac{ 100 }{ (0.1)}$

$= > KE = 1000 \: joule$

$= > KE = 1 \: Kilo \: joule$

So final answer is

Kinetic energy is 1 KJ.

Answer 2

AnswEr :

Given that momentum of body is 10 kgm/s . Mass of body is 0.05 kg.

We have to find kinetic energy of body.

Here we have : Momentum (p) = 10 kgm/s. Mass (m) = 0.05 kg.

First let's find value of velocity of body at first.

As we know that,

→ Momentum (p) = Mass(m) × Velocity (v)

Substituting values,

→ 10 = 0.05 × v

→ v = 10/0.05

→ v = 200 m/s

Now we know that,

→ Kinetic energy (K.E.) = ½ mv²

Substituting values,

→ K.E. = ½ × 0.05 × (200)²

→ K.E. = ½ × 0.05 × 40000

→ K.E. = 0.05 × 20000

→ K.E. = 1000 J

→ K.E. = 1000/1000 kj

→ K.E. = 1 kj

∴ Kinetic energy of body = 1000 j or 1 kj.