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प्रश्न
A force F acts on a body and displaces it by a distance S in a direction at an angle θ with the direction of force.
What should be the angle between force and displacement so that the work done is
- Zero
- Maximum
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उत्तर
Angle between force and displacement to get
Component of displacement in the direction of force.
Component of force in direction of displacement
W = F × Component of displacement
= F · cos θ
W = F · S cos θ
W = S · F cos θ
(i) Zero work is 90°
(ii) Maximum work is 0°. ...`[(∵ cos 90° = 0),(∵ cos 0° = 1)]`
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संबंधित प्रश्न
How is work done by a force measured when the force is in an angle to the direction of displacement?
How is the work done by a force measured when the force is in the direction of displacement?
A force F acts on a body and displaces it by a distance S in a direction at an angle θ with the direction of force.
Write the expression for the work done by the force.
Choose one or more correct alternatives.
While dragging or lifting an object, negative work is done by ______.
- the applied force
- gravitational force
- frictional force
- reaction force
From the groups B and C, choose the proper words, for each of the words in group A.
| A | B | C |
| Work | Newton | erg |
| Force | Metre | cm |
| Displacement | Joule | dyne |
Explain the following concept in your own words with everyday examples:
Force
Explain the following concept in your own words with everyday examples:
Work
A cart with mass 20 kg went 50 m in a straight line on a plain and smooth road when a force of 2 N was applied to it. How much work was done by the force?
What should be the angle between the direction of force and the direction of displacement, for work to be negative?
A body, when acted upon by a force of 20 kgf, gets displaced by 1 m. Calculate the work done by the force, when the displacement is
- in the direction of force,
- at an angle of 60° with the force, and
- normal to the force. (g = 10 N kg-1)
