Kinetic Energy Formula

Kinetic energy is the energy possessed by a body due to its motion. Kinetic Energy Formula is articulated as

\(\begin{array}{l}k.E = \frac{1}{2}mv^{2}\end{array} \)

Where,

mass of the body = m,

the velocity with which the body is travelling is v.

The Kinetic energy is articulated in Kgm2/s2

Kinetic energy formula is used to compute the mass, velocity or kinetic energy of the body if any of the two numerics are given.

Kinetic Energy Solved Examples

Underneath are questions on Kinetic energy which aids one to understand where they can use these questions.

Problem 1: A car is travelling at a velocity of 10 m/s and it has a mass of 250 Kg. Compute its Kinetic energy?
Answer:

Given: Mass of the body m = 250 Kg,
Velocity v = 10 m/s,

Kinetic energy is given by

\(\begin{array}{l}k.E = \frac{1}{2} (250 kg) (10 m/s)^{2}\end{array} \)

=12500 kgm2 s2

Problem  2: A man is transporting a trolley of mass 6 Kg and having Kinetic energy of 40 J. Compute its Velocity with which he is running?
Answer:

Given: Mass, m = 6 Kg
Kinetic energy K.E = 60 J

\(\begin{array}{l}Velocity, v = \sqrt{\frac{2K.E}{m}}\end{array} \)
\(\begin{array}{l}Velocity, v = \sqrt{\frac{2\times 40 J}{6 kg}}\end{array} \)
\(\begin{array}{l}=\sqrt{13.33}\end{array} \)

=3.65m/s

The man is running with the velocity of 3.65m/s

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  1. the maximum speed of “tsunami” waves is 100m/s .calculate the maximum kinetic energy of every kilogram of water in these “tsunami “.