Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
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 1 kg1\text{ kg} is kept on an inclined plane with 30°30° inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of 4 m/s4\text{ m/s}. The work done by the frictional force in time 2 s2\text{ s} is _______ J. (Take g=10 m/s2g = 10\text{ m/s}^2)

Options

  1. A2020
  2. B2525
  3. C3030
  4. D1010

Correct answer

A. 2020

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 ff acting on the mass balances the component of gravity along the inclined plane. Therefore, the magnitude of the frictional force is:

f=mgsin⁡30∘f = mg \sin 30^\circ

Substituting the given values (m=1 kgm = 1\text{ kg}, g=10 m/s2g = 10\text{ m/s}^2):

f=1×10×12=5 Nf = 1 \times 10 \times \dfrac{1}{2} = 5\text{ N}

The direction of the frictional force is upwards along the incline. Since the incline makes an angle of 30∘30^\circ with the horizontal, the frictional force makes an angle of 90∘−30∘=60∘90^\circ - 30^\circ = 60^\circ with the vertical upward direction.

The displacement ss of the assembly in time t=2 st = 2\text{ s} is vertically upwards:

s=vt=4×2=8 ms = vt = 4 \times 2 = 8\text{ m}

The work done by the frictional force is:

W=fscos⁡60∘W = f s \cos 60^\circ

W=5×8×12=20 JW = 5 \times 8 \times \dfrac{1}{2} = 20\text{ J}

Answer: 2020
Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

A block takes t time to slide down a plane inclined at 45° to the horizontal. If the… JEE Main 2026Two blocks ( P and Q ) with respectively masses 2 kg and 1.5 kg are joined by a massless… JEE Main 2026Three masses m_1 = 4 kg, m_2 = 4 kg and m_3 = 6 kg are suspended from a fixed smooth… JEE Main 2026A wedge Y with mass of 10 kg and all frictionless surfaces and the inclined surface… JEE Main 2026At t=0 , a body of mass 100 g starts moving under the influence of a force (5 i +10 j )… JEE Main 2026The time taken by a block of mass m to slide down from the highest point to the lowest… JEE Main 2026A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m… JEE Main 2026A small block of mass m slides down from the top of a frictionless inclined surface… JEE Main 2026 Full Laws of Motion list All JEE Main PYQs