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2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot?
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2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained...
Solution:
Given data:
Weight of the skater, W = 1000 N
Speed of the skater, v = 20 m/s
Area of contact, A = 0.001 m²
Coefficient of friction, μ = 0.02
Viscosity of water, η = 0.01 Ns/m²
We need to find the average thickness of a film of water existing at the interface between the skater and ice.
Formula used:
The force of friction between the skater and ice is given by:
f = μW
The force of viscosity acting on the water film is given by:
F = ηAv/d
where d is the thickness of the water film.
At equilibrium, these two forces are balanced, i.e.,
μW = ηAv/d
d = ηAv/μW
Calculation:
Substituting the given values in the above expression, we get:
d = (0.01 Ns/m²) × (0.001 m²) × (20 m/s) / (0.02 × 1000 N)
d = 10^-6 m
Therefore, the average thickness of the water film existing at the interface between the skater and ice is 10^-6 m.
Answer: Option (b) 10^-6m
Given data:
Weight of the skater, W = 1000 N
Speed of the skater, v = 20 m/s
Area of contact, A = 0.001 m²
Coefficient of friction, μ = 0.02
Viscosity of water, η = 0.01 Ns/m²
We need to find the average thickness of a film of water existing at the interface between the skater and ice.
Formula used:
The force of friction between the skater and ice is given by:
f = μW
The force of viscosity acting on the water film is given by:
F = ηAv/d
where d is the thickness of the water film.
At equilibrium, these two forces are balanced, i.e.,
μW = ηAv/d
d = ηAv/μW
Calculation:
Substituting the given values in the above expression, we get:
d = (0.01 Ns/m²) × (0.001 m²) × (20 m/s) / (0.02 × 1000 N)
d = 10^-6 m
Therefore, the average thickness of the water film existing at the interface between the skater and ice is 10^-6 m.
Answer: Option (b) 10^-6m
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2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot?
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2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot?.
2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot?.
Solutions for 2.A skater weighing 1000N skates at a speed of 20m/s on ice maintained at 0̊ C.The average skating area supporting the skater is 0.001 m² and the coefficient of friction between the skates and ice is 0.02.What will be the average thickness of a film of water existing at the interface between the skater and ice?(μ=0.01Ns/m²) a) 10−5 m b) 10−6m c) 10−7m d) Not possible to estimate since there cannot? in English & in Hindi are available as part of our courses for GATE.
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