Question

The equation for kinetic energy is: $KE = \dfrac{1}{2}m{v^2}$
What is the correct equation when this equation is solved for mass?
(A) ${\text{m}} = \dfrac{1}{2}\;{\text{m}}{({\text{KE}})^2}$
(B) ${\text{m}} = {\left( {\dfrac{{2({\text{KE}})}}{{\text{v}}}} \right)^2}$
(C) ${\text{m}} = \sqrt {\dfrac{{2({\text{KE}})}}{{\text{v}}}}$
(D) ${\text{m}} = \dfrac{{2({\text{KE}})}}{{{{\text{v}}^2}}}$

Answer 1

Chemical energy, thermal energy, electromagnetic radiation, gravitational energy, electric energy, elastic energy, nuclear energy, and rest energy are all examples of energy. Potential energy and kinetic energy are the two major types of energy. Kinetic energy is an object's movement energy. Kinetic energy is a type of energy that may be transmitted between things and converted into other forms of energy.

Complete answer:
The kinetic energy of an item is the energy it has owing to its motion in physics. It is the amount of effort required to propel a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration unless its speed changes. When the body decelerates from its current speed to a condition of rest, it does the same amount of effort. We must use force to accelerate an item. We must labour in order to exert force. Energy is transmitted when work is done on an item, and the thing travels at a new constant speed. Kinetic energy is the energy that is transmitted and is determined by the mass and speed reached.
In physics, kinetic energy is defined as “An object's kinetic energy is a measure of the work it can accomplish as a result of its motion.” Kinetic energy is measured in scalar units. The amount of kinetic energy is the only way to explain it.
$EK = \dfrac{1}{2}m{v^2}$
Keeping m in RHS
$\dfrac{{2EK}}{{{v^2}}} = m$
Hence option D is correct.

Note:
Kinetic energy is a type of energy that may be transmitted between things and converted into other types of energy. The yo-yo is an excellent illustration of kinetic energy transformation. When you first start playing with it, you should let it rest in your hand; at this moment, all of the energy is stored in the ball as potential energy. When a person drops the yo-yo, the stored energy is converted into kinetic energy, or movement energy. All of the energy in the ball is transformed to kinetic energy once it hits the bottom of the yo-yo. As it returns to the hand, all of the energy is transformed back to potential energy.