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A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w?
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A 10m long chain of linear mass density 0.8 kg/m hanging freely from a...
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A 10m long chain of linear mass density 0.8 kg/m hanging freely from a...
Given Data
- Length of chain (L) = 10 m
- Linear mass density (λ) = 0.8 kg/m
- Gravitational acceleration (g) = 10 m/s²
- Time to lift (t) = 10 s
Mass of the Chain
- Total mass (m) = Length × Linear mass density
- m = L × λ = 10 m × 0.8 kg/m = 8 kg
Weight of the Chain
- Weight (W) = Mass × Gravitational acceleration
- W = m × g = 8 kg × 10 m/s² = 80 N
Work Done to Lift the Chain
- When lifting the chain, the average height lifted is equal to half of the total length since the chain is gradually lifted from the bottom to the top.
- Average height (h) = L/2 = 10 m / 2 = 5 m
- Work done (W_d) = Weight × Average height
- W_d = W × h = 80 N × 5 m = 400 J
Power Calculation
- Power (P) is defined as work done per unit time.
- P = Work done / Time
- P = W_d / t = 400 J / 10 s = 40 W
Conclusion
- The power required to lift the chain up to the point of support in 10 seconds is 40 W.
Thus, the correct answer is D. 40 W.
- Length of chain (L) = 10 m
- Linear mass density (λ) = 0.8 kg/m
- Gravitational acceleration (g) = 10 m/s²
- Time to lift (t) = 10 s
Mass of the Chain
- Total mass (m) = Length × Linear mass density
- m = L × λ = 10 m × 0.8 kg/m = 8 kg
Weight of the Chain
- Weight (W) = Mass × Gravitational acceleration
- W = m × g = 8 kg × 10 m/s² = 80 N
Work Done to Lift the Chain
- When lifting the chain, the average height lifted is equal to half of the total length since the chain is gradually lifted from the bottom to the top.
- Average height (h) = L/2 = 10 m / 2 = 5 m
- Work done (W_d) = Weight × Average height
- W_d = W × h = 80 N × 5 m = 400 J
Power Calculation
- Power (P) is defined as work done per unit time.
- P = Work done / Time
- P = W_d / t = 400 J / 10 s = 40 W
Conclusion
- The power required to lift the chain up to the point of support in 10 seconds is 40 W.
Thus, the correct answer is D. 40 W.
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A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w?
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A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w?.
A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10m long chain of linear mass density 0.8 kg/m hanging freely from a rigid support if g equal to 10m/s2, then power required to lift the chain UpTo the point of support in 10 second is A.10w B.20w C.30w D 40w?.
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