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Two bodies having the same linear momentum have a ratio of kinetic energy as 16:9. Find the ratio of masses of these bodies.
Two bodies having the same linear momentum have a ratio of kinetic energy as 16:9. Find the ratio of masses of these bodies.
Updated On: Sep 27, 2024
- \(\frac{9}{16}\)
- \(\frac{4}{3}\)
- \(\frac{3}{4}\)
- \(\frac{16}{9}\)
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The Correct Option is A
Solution and Explanation
The correct option is (A): \(\frac{9}{16}\)
\(\frac{P^2}{2m}=K\)
\(\Rightarrow \frac{K_1}{K_2}=(\frac{m_2}{m_1})=\frac{16}{9}=(\frac{m_2}{m_1})\)
\(\Rightarrow (\frac{m_1}{m_2})=\frac{9}{16}\)
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Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
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