Question:

The particle of mass $50\, kg$ is at rest. The work done to accelerates it by $20\,m/s$ in $10\,s$ is

Updated On: Jul 2, 2022
  • $10^3 J$
  • $10^4 J$
  • $2 \times 10^3 J$
  • $4 \times 10^4 J$
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The Correct Option is B

Solution and Explanation

$v=u+a t $ $20 =0+a \times 10 $ $20 =a \times 10 $ $a =2 \,m / s ^{2}$ Then, $s=u t+\frac{1}{2} a t^{2}$ $s=0+\frac{1}{2} \times 2 \times 10 \times 10 $ $s=100 \,m$ Work done $W=F \times s$ or or $W= ma \times s$ $ \therefore W =50 \times 2 \times 100 $ $W =10000=10^{4} J $
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Questions Asked in AIIMS exam

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Concepts Used:

Work

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Work Formula:

W = Force × Distance

Where,

Work (W) is equal to the force (f) time the distance.

Work Equations:

W = F d Cos θ

Where,

 W = Amount of work, F = Vector of force, D = Magnitude of displacement, and θ = Angle between the vector of force and vector of displacement.

Unit of Work:

The SI unit for the work is the joule (J), and it is defined as the work done by a force of 1 Newton in moving an object for a distance of one unit meter in the direction of the force.

Work formula is used to measure the amount of work done, force, or displacement in any maths or real-life problem. It is written as in Newton meter or Nm.