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A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will be
- a)0.5
- b)1
- c)2
- d)None
Correct answer is option 'B'. Can you explain this answer?
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A man of mass 60 kg. records his wt. on a weighing machine placed insi...
Given:
- Mass of the man = 60 kg
- Speed of the lift while ascending = 2 m/s
- Speed of the lift while descending = 4 m/s
To find:
- The ratio of weights of the man recorded when the lift is ascending to when it is descending.
Solution:
Let's consider the forces acting on the man when the lift is ascending and descending.
When the lift is ascending:
- The man experiences a normal force (N) exerted by the weighing machine in an upward direction.
- The weight of the man (mg) acts vertically downwards.
The equation of motion for the man in the vertical direction is:
N - mg = ma
Where,
m = mass of the man = 60 kg
g = acceleration due to gravity = 9.8 m/s² (approx)
a = acceleration of the lift = 0 (as it is moving with a uniform speed)
N - 60*9.8 = 0
N = 60*9.8
The weight recorded by the weighing machine when the lift is ascending = N = 60*9.8
When the lift is descending:
- The man experiences a normal force (N') exerted by the weighing machine in a downward direction.
- The weight of the man (mg) acts vertically downwards.
The equation of motion for the man in the vertical direction is:
N' - mg = -ma
Where,
m = mass of the man = 60 kg
g = acceleration due to gravity = 9.8 m/s² (approx)
a = acceleration of the lift = 0 (as it is moving with a uniform speed)
N' - 60*9.8 = 0
N' = 60*9.8
The weight recorded by the weighing machine when the lift is descending = N' = 60*9.8
Ratio of weights:
The ratio of weights recorded when the lift is ascending to when it is descending is given by:
(N/N') = (60*9.8)/(60*9.8) = 1
Therefore, the ratio of weights recorded is 1, which corresponds to option B.
- Mass of the man = 60 kg
- Speed of the lift while ascending = 2 m/s
- Speed of the lift while descending = 4 m/s
To find:
- The ratio of weights of the man recorded when the lift is ascending to when it is descending.
Solution:
Let's consider the forces acting on the man when the lift is ascending and descending.
When the lift is ascending:
- The man experiences a normal force (N) exerted by the weighing machine in an upward direction.
- The weight of the man (mg) acts vertically downwards.
The equation of motion for the man in the vertical direction is:
N - mg = ma
Where,
m = mass of the man = 60 kg
g = acceleration due to gravity = 9.8 m/s² (approx)
a = acceleration of the lift = 0 (as it is moving with a uniform speed)
N - 60*9.8 = 0
N = 60*9.8
The weight recorded by the weighing machine when the lift is ascending = N = 60*9.8
When the lift is descending:
- The man experiences a normal force (N') exerted by the weighing machine in a downward direction.
- The weight of the man (mg) acts vertically downwards.
The equation of motion for the man in the vertical direction is:
N' - mg = -ma
Where,
m = mass of the man = 60 kg
g = acceleration due to gravity = 9.8 m/s² (approx)
a = acceleration of the lift = 0 (as it is moving with a uniform speed)
N' - 60*9.8 = 0
N' = 60*9.8
The weight recorded by the weighing machine when the lift is descending = N' = 60*9.8
Ratio of weights:
The ratio of weights recorded when the lift is ascending to when it is descending is given by:
(N/N') = (60*9.8)/(60*9.8) = 1
Therefore, the ratio of weights recorded is 1, which corresponds to option B.
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A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will bea)0.5b)1c)2d)NoneCorrect answer is option 'B'. Can you explain this answer?
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A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will bea)0.5b)1c)2d)NoneCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will bea)0.5b)1c)2d)NoneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will bea)0.5b)1c)2d)NoneCorrect answer is option 'B'. Can you explain this answer?.
A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will bea)0.5b)1c)2d)NoneCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will bea)0.5b)1c)2d)NoneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man of mass 60 kg. records his wt. on a weighing machine placed inside a lift. The ratio of wts. of man recorded when lift is ascending up with a uniform speed of 2 m/s to when it is descending down with a uniform speed of 4 m/s will bea)0.5b)1c)2d)NoneCorrect answer is option 'B'. Can you explain this answer?.
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