Question

Find the velocity of a body of mass 0.1 kg having kinetic energy of 20 j

Answer 1

K. E = 1/2m v^2 

20 = 1/2 0.1 v^2 

20 = 0.05v^2 
v^2 = 20/0.05 
v^2 = 400 
v= 20 m/s

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Answer 2

Given:

• Mass of object = 0.1 kg
• Kinetic Energy = 20 Joules

To find:

• Velocity of body ?

Calculation:

• Kinetic Energy is a type of mechanical energy possessed by an object by the virtue of its movement.

Mathematical Equation for kinetic energy is :

$\boxed{KE = \dfrac{1}{2} \times m \times {v}^{2} }$

• Putting necessary values in SI UNITS:

$\implies 20 = \dfrac{1}{2} \times 0.1\times {v}^{2}$

$\implies {v}^{2} = \dfrac{40}{0.1}$

$\implies {v}^{2} = 400$

$\implies v = \sqrt{400}$

$\implies v = 20 \: m {s}^{ - 1}$

So, velocity of the body is 20 m/s.