Question:medium
There are two inclined surfaces of equal length inclined at an angle of \(45^\circ\) with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2 times as much time to slide down on the rough surface than on the smooth surface. The coefficient of kinetic friction (\(\mu_k\)) between the object and the rough surface is close to :
There are two inclined surfaces of equal length inclined at an angle of \(45^\circ\) with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2 times as much time to slide down on the rough surface than on the smooth surface. The coefficient of kinetic friction (\(\mu_k\)) between the object and the rough surface is close to :
Show Hint
Use the equations of motion for constant acceleration. The acceleration down the incline depends on gravity and friction. Relate the times of descent using the given factor and solve for the coefficient of kinetic friction.
Updated On: Nov 26, 2025
- \( 0.80 \)
- \( 0.25 \)
- \( 0.75 \)
- \( 0.5 \)
Top Questions on Friction
- The minimum force required to start pushing a body up a rough (having coefficient of friction \( \mu \)) inclined plane is \( F_1 \), while the minimum force needed to prevent it from sliding is \( F_2 \). If the inclined plane makes an angle \( \theta \) with the horizontal such that \( \tan\theta = 2\mu \), then the ratio \( \frac{F_1}{F_2} \) is:
- WBJEE - 2025
- Physics
- Friction
- A block of mass \( 5 \, \text{kg} \) is placed on a horizontal surface. The coefficient of friction between the block and the surface is \( 0.4 \). What is the force of friction acting on the block?
- MHT CET - 2025
- Physics
- Friction
- A 10 kg box is pulled with a horizontal force of 50 N on a surface offering a frictional force of 20 N. What is the net acceleration of the box? (Take \( g = 10 \, \text{m/s}^2 \))
- MHT CET - 2025
- Physics
- Friction
- Want to practice more? Try solving extra ecology questions todayView All Questions