Work, Power, and Energy Quiz
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A force F = (2iˆ + 3 ˆj + 2kˆ) N acts on a particle of mass m. The particle starts from point A (1, 2, 1) and moves to point B (3, 4, 3). What is the total work done by the force on the particle?

14 J

A force, F = 2iˆ + 3 ˆj, acts on a particle. The particle starts from point O (0, 0) and moves to point A (2, 4). Find the total work done by force F on the particle.

16 J

Find the work done by the force till 4 m in the given graph.

  • 287.5 J
  • 200 J
  • 50 J (correct)
  • 25 J
  • The relationship between force and position is shown in the figure, and the work done by the force in displacing a body from x = 1 cm to x = 5 cm is

    <p>60 ergs</p> Signup and view all the answers

    A body of mass 6 kg is under a force which causes displacement given by S = $\frac{t^2}{4}$ meters. The work done by the force in 2 seconds is

    <p>3 J</p> Signup and view all the answers

    A body contained to move in y-direction is subjected to a force given by F = -2iˆ + 15 ˆj + 6kˆ N. The work done by this force in moving the body a distance of 10 m along the y-axis is

    <p>150 J</p> Signup and view all the answers

    A force F = 5iˆ + 3 ˆj newton is applied over a point r = 2iˆ - ˆj metres. The work done on the particle is

    <p>+7 joules</p> Signup and view all the answers

    Due to the force F = 4iˆ + 4 ˆj N, a body is shifted from the origin to the point (5 m, 6 m). The work done by the force in moving the object from x = 0 to x = 8 m is

    <p>10 J</p> Signup and view all the answers

    A 2 kg mass lying on a table is displaced in the horizontal direction through 50 cm. The work done by the normal reaction will be

    <p>0</p> Signup and view all the answers

    Study Notes

    Work, Power, and Energy

    Force and Displacement

    • A force F = (2iˆ + 3 ˆj + 2kˆ) N acts on a particle of mass m, moving it from point A (1, 2, 1) to point B (3, 4, 3).
    • The total work done by the force on the particle is 14 J.

    Force-Displacement Graph

    • The work done by a force on a body can be calculated from a force-displacement graph.
    • The area under the graph represents the work done.

    Work Done by a Force

    • A force F = 2iˆ + 3 ˆj acts on a particle, moving it from point O (0, 0) to point A (2, 4).
    • The total work done by the force on the particle is 16 J.
    • A force F = 5iˆ + 3 ˆj N is applied over a particle, displacing it from its origin to the point r = 2iˆ –1 ˆj metres.
    • The work done on the particle is +7 joules.

    Work and Energy

    • The work done by a force on an object is related to the energy transferred to the object.
    • The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy.

    Force and Position

    • The relationship between force and position can be represented by a graph.
    • The work done by a force in displacing a body from x = 1 cm to x = 5 cm is 30 J.

    One-Dimensional Motion

    • A body moves in one dimension under the influence of a force.
    • The work done by the force on the body can be calculated using the force-position graph.

    Force and Displacement in Two Dimensions

    • A force F = 4iˆ + 4 ˆj N acts on a body, displacing it from the origin to the point (5 m, 6 m).
    • The work done by the force is 44 J.

    Normal Reaction

    • A 2 kg mass lying on a table is displaced in the horizontal direction through 50 cm.
    • The work done by the normal reaction is 0.

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    Description

    This quiz covers the concepts of work, power, and energy in physics, including force, displacement, and force-displacement graphs. Test your understanding of the calculations and concepts involved.

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