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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Work and Energy

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Work and Energy

A block of mass 2.0 kg is pushed down an inclined plane of...

A block of mass 2.0 kg2.0 \text{ kg} is pushed down an inclined plane of inclination 37^{}^{{}^{\circ}} by a 20 N20 \text{ N} force acting parallel to the incline. It is observed that the block travels on the incline with an acceleration of 10 m/s210 \text{ m/s}^2. Assuming the block starts from rest, determine the work done by the applied force during the first second. Take g=10 m/s2g = 10 \text{ m/s}^2.

Options

  1. A100 J100 \text{ J}
  2. B200 J200 \text{ J}
  3. C50 J50 \text{ J}
  4. D80 J80 \text{ J}

Correct answer

A. 100 J100 \text{ J}

Step-by-step solution

Given initial velocity u=0u = 0, acceleration a=10 m/s2a = 10 \text{ m/s}^2, and time t=1 st = 1 \text{ s}.

The displacement of the block in the first second is calculated using the equation of motion:

s=ut+12at2s = ut + \dfrac{1}{2}at^2

s=0+12(10)(1)2=5 ms = 0 + \dfrac{1}{2}(10)(1)^2 = 5 \text{ m}

The applied force is F=20 NF = 20 \text{ N}, acting parallel to the inclined plane in the direction of motion.

The work done by the applied force is:

W=FsW = Fs

W=20×5=100 JW = 20 \times 5 = 100 \text{ J}
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