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A body is being raised to a height h from the surface of earth. What is the sign of work done by applied force and gravitational force respectively?
- a)Positive, Positive
- b)Positive, Negative
- c)Negative, Positive
- d)Negative, Negative
Correct answer is option 'B'. Can you explain this answer?
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A body is being raised to a height h from the surface of earth. What ...
Angle between applied force and displacement is 0° and gravitational force and displacement is 180°.
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A body is being raised to a height h from the surface of earth. What ...
Answer:
When a body is being raised to a height h from the surface of the earth, both an applied force and the gravitational force are involved in the process. The work done by these forces can be determined by considering their directions and the displacement of the body.
Work Done by Applied Force:
- The applied force is the force that is exerted on the body in the direction of its displacement.
- When the body is being raised, the applied force acts upward, in the same direction as the displacement.
- In this case, the work done by the applied force is positive because the force and the displacement are in the same direction.
Work Done by Gravitational Force:
- The gravitational force acts vertically downward, opposite to the direction of displacement.
- When the body is being raised, the gravitational force and the displacement are in opposite directions.
- The work done by the gravitational force can be calculated using the formula: Work = Force x Displacement x cosθ, where θ is the angle between the force and the displacement.
- In this case, the angle between the gravitational force and the displacement is 180 degrees, and cos180 = -1.
- As a result, the work done by the gravitational force is negative because the force and the displacement are in opposite directions.
Conclusion:
Therefore, the sign of the work done by the applied force is positive because the force and the displacement are in the same direction. On the other hand, the sign of the work done by the gravitational force is negative because the force and the displacement are in opposite directions. Hence, the correct answer is option 'B': Positive, Negative.
When a body is being raised to a height h from the surface of the earth, both an applied force and the gravitational force are involved in the process. The work done by these forces can be determined by considering their directions and the displacement of the body.
Work Done by Applied Force:
- The applied force is the force that is exerted on the body in the direction of its displacement.
- When the body is being raised, the applied force acts upward, in the same direction as the displacement.
- In this case, the work done by the applied force is positive because the force and the displacement are in the same direction.
Work Done by Gravitational Force:
- The gravitational force acts vertically downward, opposite to the direction of displacement.
- When the body is being raised, the gravitational force and the displacement are in opposite directions.
- The work done by the gravitational force can be calculated using the formula: Work = Force x Displacement x cosθ, where θ is the angle between the force and the displacement.
- In this case, the angle between the gravitational force and the displacement is 180 degrees, and cos180 = -1.
- As a result, the work done by the gravitational force is negative because the force and the displacement are in opposite directions.
Conclusion:
Therefore, the sign of the work done by the applied force is positive because the force and the displacement are in the same direction. On the other hand, the sign of the work done by the gravitational force is negative because the force and the displacement are in opposite directions. Hence, the correct answer is option 'B': Positive, Negative.
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A body is being raised to a height h from the surface of earth. What is the sign of work done by applied force and gravitational force respectively?a)Positive, Positiveb)Positive, Negativec)Negative, Positived)Negative, NegativeCorrect answer is option 'B'. Can you explain this answer?
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