Question

What happens to the kinetic energy, if the speed of an object doubles?

Answer 1

Hint: The rate at which an object travels over a given distance is known as speed. A fast-moving object travels quickly and covers a large distance in a short amount of time, whereas a slow-moving object travels slowly and covers a small distance in the same amount of time.

Complete step by step solution:
We must apply force to accelerate an object. We must work to apply force. Energy is transferred when work is done on an object, and the object moves at a new constant speed. Kinetic energy is the energy that is transferred and is determined by the mass and speed achieved.
Kinetic energy is a type of energy that can be transferred between objects and transformed into other forms of energy. The yo-yo is an excellent example of kinetic energy transformation. When you first start playing with it, you should let it rest in your hand; at this point, 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 converted to kinetic energy once it reaches the bottom of the yo-yo. As it returns to the hand, all of the energy is converted back to potential energy.
KE= \[\dfrac{1}{2}m{{v}^{2}}\] is the formula for kinetic energy, where KE is the kinetic energy, m is the body's mass, and v is the body's velocity.
Kinetic energy doubles when speed doubles.
The change in the object's kinetic energy as the speed changes is proportional to the square of the speed change factor. When an object's speed is doubled, its kinetic energy is four times that of the initial kinetic energy.
If \[v\] becomes \[2v\], then,
\[KE\text{ }=\text{ }\dfrac{1}{2}m{{\left( 2v \right)}^{2}}\]
\[=\text{ }4\dfrac{1}{2}m{{v}^{2}}\]
\[=\text{ }4\text{ }times\text{ }initial\text{ }KE\].

Note:
Chemical energy is used to launch spacecraft, and they gain a lot of kinetic energy on their way to orbital velocity. Because there is almost no friction in near-earth space, this kinetic energy remains constant in an entirely circular orbit. When some of the kinetic energy is converted to heat during re-entry, however, it becomes apparent.