Person A reached the 2nd floor of a hospital by lift and person B reached the samefloor by stairs. If both their masses are the same, then the ______.(a) work done on A against the gravitational force is greater than that done on B(b) work done on B against the gravitational force is greater than that done on A(c) work done on them against the gravitational force is the same(d) power expended by both of them is the same
Question
Person A reached the 2nd floor of a hospital by lift and person B reached the samefloor by stairs. If both their masses are the same, then the ______.(a) work done on A against the gravitational force is greater than that done on B(b) work done on B against the gravitational force is greater than that done on A(c) work done on them against the gravitational force is the same(d) power expended by both of them is the same
Solution
Let's analyze the situation step by step:
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Person A reached the 2nd floor of a hospital by lift, which means they used mechanical energy from the lift to move upwards. Person B, on the other hand, reached the same floor by using the stairs, which required them to exert physical effort.
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Since both persons have the same mass, we can assume that the gravitational force acting on them is the same.
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The work done against the gravitational force can be calculated using the formula: work = force x distance x cos(theta), where theta is the angle between the force and the displacement.
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In the case of person A, the work done against the gravitational force is likely to be less than that done on person B. This is because the lift is designed to counteract the gravitational force and make it easier for person A to reach the 2nd floor. Therefore, option (a) is incorrect.
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On the other hand, person B had to exert physical effort to climb the stairs, which means they had to work against the gravitational force. Therefore, the work done on person B against the gravitational force is likely to be greater than that done on person A. This supports option (b).
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Since the work done against the gravitational force is different for person A and person B, option (c) is incorrect.
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The power expended by a person can be calculated using the formula: power = work / time. Since the work done against the gravitational force is different for person A and person B, it is likely that their power expended is also different. Therefore, option (d) is incorrect.
In conclusion, the correct answer is option (b): the work done on person B against the gravitational force is greater than that done on person A.
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