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A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?
- a)when pushed over an inclined plane
- b)when lifted vertically upward
- c)when pushed over smooth rollers
- d)when pushed on a plain horizontal surface
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A body is moved through a distance of 3 m in the following different w...
Work done= Mgg
Work will be maximum when the change in height is Maximum, thus when it is lifted vertically upward.
Most Upvoted Answer
A body is moved through a distance of 3 m in the following different w...
Work done
Work done is defined as the product of the force applied on an object and the displacement of the object in the direction of the force. Mathematically, work done (W) is given by the equation:
W = F * d * cosθ
Where F is the force applied, d is the displacement, and θ is the angle between the force and displacement vectors.
Calculating work done in different scenarios
a) When pushed over an inclined plane:
In this case, the force applied is the component of the weight of the body acting along the inclined plane. The displacement is the distance moved along the inclined plane. The work done is given by the equation:
W = F * d * cosθ
As the angle between the force and displacement vectors is less than 90 degrees, the work done will be positive.
b) When lifted vertically upward:
In this case, the force applied is equal to the weight of the body. The displacement is the vertical distance moved upward. The work done is given by the equation:
W = F * d * cosθ
Since the force and displacement vectors are in the opposite direction (θ = 180 degrees), the angle between them is 180 degrees and the cosine of 180 degrees is -1. Therefore, the work done will be negative.
c) When pushed over smooth rollers:
In this case, the force applied is the force exerted on the body to push it. The displacement is the distance moved by the body. The work done is given by the equation:
W = F * d * cosθ
As the force and displacement vectors are in the same direction (θ = 0 degrees), the angle between them is 0 degrees and the cosine of 0 degrees is 1. Therefore, the work done will be positive.
d) When pushed on a plain horizontal surface:
In this case, the force applied is the force exerted on the body to push it. The displacement is the distance moved by the body. The work done is given by the equation:
W = F * d * cosθ
As the force and displacement vectors are perpendicular to each other (θ = 90 degrees), the cosine of 90 degrees is 0. Therefore, the work done will be zero.
Conclusion
From the above analysis, it can be concluded that the maximum work done is in case b) when the body is lifted vertically upward. This is because the work done is negative, which means the force is acting in the opposite direction of the displacement. Lifting an object vertically requires exerting a force against gravity, which results in negative work done.
Work done is defined as the product of the force applied on an object and the displacement of the object in the direction of the force. Mathematically, work done (W) is given by the equation:
W = F * d * cosθ
Where F is the force applied, d is the displacement, and θ is the angle between the force and displacement vectors.
Calculating work done in different scenarios
a) When pushed over an inclined plane:
In this case, the force applied is the component of the weight of the body acting along the inclined plane. The displacement is the distance moved along the inclined plane. The work done is given by the equation:
W = F * d * cosθ
As the angle between the force and displacement vectors is less than 90 degrees, the work done will be positive.
b) When lifted vertically upward:
In this case, the force applied is equal to the weight of the body. The displacement is the vertical distance moved upward. The work done is given by the equation:
W = F * d * cosθ
Since the force and displacement vectors are in the opposite direction (θ = 180 degrees), the angle between them is 180 degrees and the cosine of 180 degrees is -1. Therefore, the work done will be negative.
c) When pushed over smooth rollers:
In this case, the force applied is the force exerted on the body to push it. The displacement is the distance moved by the body. The work done is given by the equation:
W = F * d * cosθ
As the force and displacement vectors are in the same direction (θ = 0 degrees), the angle between them is 0 degrees and the cosine of 0 degrees is 1. Therefore, the work done will be positive.
d) When pushed on a plain horizontal surface:
In this case, the force applied is the force exerted on the body to push it. The displacement is the distance moved by the body. The work done is given by the equation:
W = F * d * cosθ
As the force and displacement vectors are perpendicular to each other (θ = 90 degrees), the cosine of 90 degrees is 0. Therefore, the work done will be zero.
Conclusion
From the above analysis, it can be concluded that the maximum work done is in case b) when the body is lifted vertically upward. This is because the work done is negative, which means the force is acting in the opposite direction of the displacement. Lifting an object vertically requires exerting a force against gravity, which results in negative work done.
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A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer?.
A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer?.
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A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A body is moved through a distance of 3 m in the following different ways. In which case is the maximum work done?a)when pushed over an inclined planeb)when lifted vertically upwardc)when pushed over smooth rollersd)when pushed on a plain horizontal surfaceCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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