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