Question:
If kinetic energy of a body is increased by 300% than percentage change in momentum will be
If kinetic energy of a body is increased by 300% than percentage change in momentum will be
Updated On: Apr 21, 2025
- 100%
- 150%
- 265%
- 73.20%
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The Correct Option is A
Solution and Explanation
The correct option is (A) : 100%
P1 = \(\sqrt{2}\)mE1 ; P2 = \(\sqrt{2}\)mE2
=\(\sqrt{2}\)m(\(\frac{E_1+300}{100E_1}\)) =√2m(4E1)=2P1
∴ % change = \(\frac{P_2-P_1}{P_1}\times100\) = \(\frac{2P_2-P_1}{P_1}\times100\)=100%
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Concepts Used:
Work, Energy and Power
Work:
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- The work done by the force is described to be the product of the elements of the force in the direction of the displacement and the magnitude of this displacement.
Energy:
- A body's energy is its potential to do tasks. Anything that has the capability to work is said to have energy. The unit of energy is the same as the unit of work, i.e., the Joule.
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Power:
- Power is the rate at which energy is transferred, conveyed, or converted or the rate of doing work. Technologically, it is the amount of work done per unit of time. The SI unit of power is Watt (W) which is joules per second (J/s). Sometimes the power of motor vehicles and other machines is demonstrated in terms of Horsepower (hp), which is roughly equal to 745.7 watts.
- Power is a scalar quantity, which gives us a quantity or amount of energy consumed per unit of time but with no manifestation of direction.