A solid sphere is in rolling motion. In rolling motion, a body possesses translational kinetic energy (K_t) as well as rotational kinetic energy (K_r) simultaneously. The ratio Kt: (K_t+ K_r) for the sphere is

7:10

5:7

2:5

10:7

Solution

5:7

In rolling motion, rotational kinetic energy.

$K_{t} = \frac{1}{2} m v^{2} A n d K_{t} + K_{r} = \frac{1}{2} m v^{2} + \frac{1}{2} I ω^{2} = \frac{1}{2} m v^{2} + \frac{1}{2} (\frac{2}{5} m r^{2}) {(\frac{v}{r})}^{2} = \frac{7}{10} m v^{2} ∴ \frac{K_{t}}{K_{t} + K_{r}} = \frac{\frac{1}{2} m v^{2}}{\frac{7}{10} m v^{2}} = \frac{5}{7}$

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Kinetic Theory

A solid sphere is in rolling motion. In rolling motion, a body possesses translational kinetic energy (K_t) as well as rotational kinetic energy (K_r) simultaneously. The ratio Kt: (K_t+ K_r) for the sphere is

7:10

5:7

2:5

10:7

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The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K_A, K_B and K_C, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

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Kinetic Theory

A solid sphere is in rolling motion. In rolling motion, a body possesses translational kinetic energy (Kt) as well as rotational kinetic energy (Kr) simultaneously. The ratio Kt: (Kt+ Kr) for the sphere is 7:10 5:7 2:5 10:7

Some More Questions From Kinetic Theory Chapter

A charged particle moves through a magnetic field perpendicular to its direction. Then

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA, KB and KC, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A solid sphere is in rolling motion. In rolling motion, a body possesses translational kinetic energy (K_t) as well as rotational kinetic energy (K_r) simultaneously. The ratio Kt: (K_t+ K_r) for the sphere is

7:10

5:7

2:5

10:7

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K_A, K_B and K_C, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then