Question

What is the kinetic energy of a mass 25kg rickshaw moving at 10m/s?

Answer 1

To solve the above problem we will use the formula for kinetic energy, which is given as:
${K_e} = \dfrac{1}{2}m{v^2}$, where $m$ is the mass and $v$ is the velocity.
We will also define kinetic energy and how it comes into action along with a real-life example.

Complete step by step answer:
Kinetic energy: kinetic energy is the energy of the body or an object which is being possessed due to its motion. It is defined as the work needed to accelerate a body of a given mass from a resting position to its stated velocity. After acquiring the kinetic energy the body maintains this kinetic energy unless its speed attains some changes. The same amount of work is done when the body decelerates from its state of rest.
SI unit of kinetic energy is joules.
The kinetic energy of a non-rotating body depends on its mass and velocity at which an object is moving.
Let’s do the calculation part to find out the numerical value of kinetic energy.
$\Rightarrow {K_e} = \dfrac{1}{2}m{v^2} \\\ \Rightarrow {K_e} = \dfrac{1}{2} \times 25 \times {(10)^2} \\\$
Substituting the given value of mass and velocity,
$\Rightarrow {K_e} = \dfrac{1}{2} \times 25 \times 10 \times 10$
On simplification,
$\Rightarrow {K_e} = 25 \times 5 \times 10$
On further simplification, we get
$\Rightarrow {K_e} = 1250J$

Thus, the kinetic energy of the Rickshaw with mass 25kg and velocity 10m/s is 1250 Joules.

Note:
The best example of kinetic energy can be seen in the water which is stored in the dam reservoir (potential energy while in rest state), when water is made to fall on the moving hydraulic turbines to generate electricity. The falling water has an ample amount of kinetic energy which is converted to electrical energy.