Kinetic energy is the energy possessed by the body by virtue of its motion. Kinetic Energy of the body as one half of the product of mass of the body and the square of its Speed It is a Scalar quantity and SI unit is Joule. Kinetic Energy is given by the formula
Example of Few questions where you can use this formula
Question 1
Calculate the
Kinetic energy of the object have mass 10 kg and velocity 3m/s
Solution
m=10 kg, v= 3m/s , K=?
Kinetic Energy is given by the formula
$K = \frac {1}{2} mv^2$
$K= \frac {1}{2} \times 10 \times 3^2 = 45 \ J$
Question 2
An Kinetic energy is 10 J.If the object mass is 1 kg ,calculate the velocity of the object?
Solution
m=1 kg, v= ? , K=10J
Kinetic Energy is given by the formula
$K = \frac {1}{2} mv^2$
Rearranging
$v= \sqrt { \frac {2K}{m}} = \sqrt {\frac {2 \times 10}{1}} = \sqrt {20} = 2 \sqrt 5 \ m/s$
Question 3
An Kinetic energy is 36 J.If the velocity is 3 m/s ,calculate the mass of the object?
Solution
m=?, v= 3 m/s , K=36J
Kinetic Energy is given by the formula
$K = \frac {1}{2} mv^2$
Rearranging
$m = \frac {2K}{v^2} = \frac {2 \times 36}{3^2} = 8 \ kg$
1. If mass and velocity given
2. If mass and KE are given
3. If velocity and KE are given
