JEE Main 20265 AprilEvening Shift
- Exam
- JEE Main
- Year
- 2026
- Date
- 5 April
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Laws of Motion
JEE Main 2026 · 5 April · Evening Shift · Physics · Laws of Motion
A mass of 1 kg is kept on an inclined plane with 30° inclination...
A mass of is kept on an inclined plane with inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of . The work done by the frictional force in time is _______ J. (Take )
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
Since the assembly moves with a constant velocity, the acceleration of the mass is zero. The mass is in equilibrium relative to the incline.
The frictional force acting on the mass balances the component of gravity along the inclined plane. Therefore, the magnitude of the frictional force is:
Substituting the given values (, ):
The direction of the frictional force is upwards along the incline. Since the incline makes an angle of with the horizontal, the frictional force makes an angle of with the vertical upward direction.
The displacement of the assembly in time is vertically upwards:
The work done by the frictional force is:
Answer:
The frictional force acting on the mass balances the component of gravity along the inclined plane. Therefore, the magnitude of the frictional force is:
Substituting the given values (, ):
The direction of the frictional force is upwards along the incline. Since the incline makes an angle of with the horizontal, the frictional force makes an angle of with the vertical upward direction.
The displacement of the assembly in time is vertically upwards:
The work done by the frictional force is:
Answer: