Mechanics (Part – 4)

Mechanical Energy=Kinetic Energy+Potential Energy

The water behind a hydroelectric stores gravitational potential energy since it is at a higher level than the water on the other side of the dam.

This work gets stored in the object in the form of potential energy.

That is, on raising an object of mass m to a height h above the earth level,

• the potential energy of the object = mgh,

where

g is the acceleration due to gravity of the earth at that point.

KE=1/2(mv²)​

Where:

• KE is kinetic energy
• m is mass
• v is velocity

Therefore, kinetic energy depends on both the mass and the velocity of an object.

$$KE=1/2(mv²)$$

K∝ V²​

Where:

• KE is kinetic energy
• m is mass
• v is velocity
  Therefore, kinetic energy depends on both the mass and the velocity of an object.

K.E = (P²)/(2m),

where m is the mass of the body.

Hence, replacing P with 2P,

i.e., double the momentum K.E = (2P)²)/(2m) = 4(P²/2m).

That is, the kinetic energy will become four times.

Both types of energies are present simultaneously in a flying airplane.