Kinetic Energy formula explanation and example proof.
m is mass, v is velocity.
E=0.5mv^2
Gravitational Potential Energy formula explanation and example proof.
g is acceleration due to gravity
m is mass
h is height above ground in metres
E=mgh
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Answers
Answer:
A force must be applied on a body to accelerate an object. Work must be done in order to apply a force. The body will move with an unvarying speed after the work has been done due to the energy provided by it. The speed and the mass of the body are factors on which the energy transfer that makes up the kinetic energy depends.
Just like all forms of energy, Kinetic energy too can be transformed into other forms of energy and transmitted amongst objects. For instance, a moving car may hit a stationary person and then the kinetic energy of the car gets transferred into the person’s body.
How to Calculate Kinetic Energy?
To simply put, Kinetic energy can be calculated by the basic process of computing the work (W) that is done by a force (F). If the body has a mass of m that was pushed for a distance of d on a surface with a force that’s parallel to it.
W=F.d=m.a.d
The acceleration in this equation can be substituted by the initial (vi) and final (vf) velocity and the distance. This we get from the kinematic equations of motion.
W=m.a.d=m.d.v2f−v2i2d=m.v2f−v2i2d=12.m.v2f−12.m.v2i
The Kinetic Energy’s (K) basic quantity ½mv2 changes when a particular sum of work is acted upon an object.
K.E=12mv2
The total work that is done on a system is equivalent to the change in kinetic energy. Thus,
Wnet=ΔK
This equation is known as the work-energy theorem and has large applications even if the forces applied varies in magnitude and direction. This factor is an important one in the concept of conservation of energy.
Examples of Kinetic Energy
A semi truck travelling down the road has more kinetic energy than a car travelling at the same speed because the truck’s mass is much more than the car’s.
A river flowing at a certain speed comprises kinetic energy as water has certain velocity and mass.
Explanation:
please check the attached image