Expression of Kinetic Energy in Terms of Momentum
Expression for Kinetic Energy in Terms of Momentum
Kinetic Energy:
The energy of an object because of its motion is called its kinetic energy. Its SI unit is Joule (J). A flying bird, a running man, a moving train and a swinging bat are some examples of bodies with kinetic energy. Kinetic energy of a body moving with certain velocity is equal to the work done on it to make it acquire that velocity. Kinetic energy of an object increases with its speed.
The kinetic energy of a body of mass m moving with a velocity v is
Sometimes, a large rock from space hits the earth’s surface at a very high speed. Its huge kinetic energy creates a large crater on the earth’s surface. One such crater was formed thousands of years ago at Lonar in Maharashtra. The diameter of this crater is 1.8 km.
Expression for Kinetic Energy in Terms of Momentum:
Kinetic energy of a body of mass m moving with velocity v is-
Momentum is defined as the product of mass and velocity
Squaring both sides
Dividing both sides with m
Dividing both sides with 2
Illustration: Find the kinetic energy of a car of mass 200 Kg having momentum as 40 Kg m/s.
Solution : The kinetic energy is
Given m= 200 Kg
p = 40 Kg m/s
Two bodies with the mass of 1 g and 4 g are moving with equal K.E. The ratio of their respective linear momentums is | |||
| Right Option : D | |||
| View Explanation | |||
If the velocity of a body is doubled its kinetic energy _______________ | |||
| Right Option : D | |||
| View Explanation | |||
Two unequal masses possess the same momentum, then the kinetic energy of the heavier mass is ----------- the kinetic energy of the lighter mass. | |||
| Right Option : C | |||
| View Explanation |
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