In vertical circular motion, the ratio of kinetic energy of a particle at highest point to that at lowest point is
- $5$
- $2$
- $0.5$
- $0.2$
The Correct Option is D
Solution and Explanation
Using energy conservation: $\frac{1}{2}mv_1^2=\frac{1}{2}mv_2^2+2mgR \Rightarrow v_2^2=v_1^2-4gR$.
Thus, $\dfrac{\text{KE}_{\text{top}}}{\text{KE}_{\text{bottom}}}=\dfrac{\frac{1}{2}m v_2^2}{\frac{1}{2}m v_1^2}=\dfrac{v_1^2-4gR}{v_1^2}$.
For minimum vertical circle, $v_1^2=5gR$.
Hence, ratio $=\dfrac{5gR-4gR}{5gR}=\dfrac{1}{5}=0.2$.
Final Answer: $0.2$
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
Top MHT CET Kinetic Energy Questions
- A ring and a disc roll on the horizontal surface without slipping with same linear velocity. If both have same mass and total kinetic energy of the ring is $4\, J$ then total kinetic energy of the disc is
- A simple pendulum of length $l$ has maximum angular displacement $\theta$. The maximum kinetic energy of the bob of mass $m$ is ($g =$ acceleration due to gravity)
- The maximum kinetic energy of the photoelectrons varies.
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
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.
