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
If the linear momentum is increased by 5%, the kinetic energy will increase by | |||
| Right Option : D | |||
| View Explanation | |||
What is the momentum of a body of mass 100 g, having a K.E. of 20 J' ? | |||
| Right Option : A | |||
| View Explanation |
When the kinetic energy of a body increases by 100%,its momentum increases by | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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8thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
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Cheshta
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
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