Question:medium
If a solid sphere of mass \(2\) kg is rolling without slipping on a surface with a velocity of
\[
10\ \mathrm{ms^{-1}},
\]
then the total kinetic energy of the sphere is
If a solid sphere of mass \(2\) kg is rolling without slipping on a surface with a velocity of
\[
10\ \mathrm{ms^{-1}},
\]
then the total kinetic energy of the sphere is
Show Hint
For a solid sphere rolling without slipping,
\[
\boxed{
K=\frac12mv^2+\frac12I\omega^2
=\frac{7}{10}mv^2.
}
\]
Always use
\[
\boxed{\omega=\frac vr.}
\]
Updated On: Jul 18, 2026
- \(70\) J
- \(140\) J
- \(280\) J
- \(350\) J
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on System of Particles & Rotational Motion
- A body of mass 10 kg is moving with a speed of 5 m/s. What is the momentum of the body?
- VITEEE - 2025
- Physics
- System of Particles & Rotational Motion
- A particle is moving in circular path of radius r speed v such that speed is proportional to radius as \(V∝ r^{\frac{3}{2}}\). Then how does time period of revolution depends on r i.e Trn then \(n\) is.
- JEE Main - 2024
- Physics
- System of Particles & Rotational Motion
- A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^2 = 1 + t^2$.
Its acceleration at any time $t$ is $x^{-n}$ where $n =$ ____.- JEE Main - 2024
- Physics
- System of Particles & Rotational Motion
The center of mass of a thin rectangular plate (fig - x) with sides of length \( a \) and \( b \), whose mass per unit area (\( \sigma \)) varies as \( \sigma = \sigma_0 \frac{x}{ab} \) (where \( \sigma_0 \) is a constant), would be
- JEE Main - 2025
- Physics
- System of Particles & Rotational Motion
- Want to practice more? Try solving extra ecology questions todayView All Questions