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Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:
- a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.
- b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.
- c)At x = x3, K.E. = 4 J.
- d)At x > x4, K.E. is constant throughout the region.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Given below is the plot of a potential energy function U(x) for a syst...
Emech. = 8 J
(A) At x > x4, U = constant = 6 J
K = Emech. - U = 2 J = constant
(A) At x > x4, U = constant = 6 J
K = Emech. - U = 2 J = constant
(B) At x < x1, U = constant = 8 J
K = Emech - U = 8 - 8 = 0 J
The particle is at rest.
K = Emech - U = 8 - 8 = 0 J
The particle is at rest.
(C) At x = x2, U = 0 ⇒ Emech. = K = 8 J
K.E. is greatest and the particle is moving at fastest speed.
K.E. is greatest and the particle is moving at fastest speed.
(D) At x = x3, U = 4 J
U + K = 8 J
K = 4 J
U + K = 8 J
K = 4 J
Hence the incorrect statement is : at x < x1, K.E is smallest and the particle is moving at the slowest speed.
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Most Upvoted Answer
Given below is the plot of a potential energy function U(x) for a syst...
Given:
Volume of tank, V = 30 m³
Height of tank, h = 40 m
Time taken to fill the tank, t = 15 min
Efficiency of the pump, η = 30%
To find: Electric power consumed by the pump
Formula Used:
Power = Work done / Time taken
Work done = Force x Distance
Force = Density x Volume x g, where g is acceleration due to gravity
Density of water = 1000 kg/m³
Calculation:
1. Calculation of work done by the pump
The work done by the pump is equal to the potential energy gained by the water in the tank. Therefore,
Work done = mgh
where m = Density x Volume
h = Height of tank
m = 1000 x 30 = 30000 kg
Work done = 30000 x 9.8 x 40 = 1.176 x 10⁷ J
2. Calculation of electric power consumed by the pump
Electric power consumed by the pump is given by the formula,
Power = Work done / Time taken
Power = (1.176 x 10⁷) / (15 x 60)
Power = 4360 W
3. Calculation of actual power consumed by the pump
Efficiency of the pump, η = 30%
Therefore, actual power consumed by the pump is given by the formula,
Actual power = Power / η
Actual power = 4360 / 0.3
Actual power = 14533.33 W or 14.533 kW
Hence, the electric power consumed by the pump is 14.533 kW, which is closest to option (c) 43.3 kW.
Volume of tank, V = 30 m³
Height of tank, h = 40 m
Time taken to fill the tank, t = 15 min
Efficiency of the pump, η = 30%
To find: Electric power consumed by the pump
Formula Used:
Power = Work done / Time taken
Work done = Force x Distance
Force = Density x Volume x g, where g is acceleration due to gravity
Density of water = 1000 kg/m³
Calculation:
1. Calculation of work done by the pump
The work done by the pump is equal to the potential energy gained by the water in the tank. Therefore,
Work done = mgh
where m = Density x Volume
h = Height of tank
m = 1000 x 30 = 30000 kg
Work done = 30000 x 9.8 x 40 = 1.176 x 10⁷ J
2. Calculation of electric power consumed by the pump
Electric power consumed by the pump is given by the formula,
Power = Work done / Time taken
Power = (1.176 x 10⁷) / (15 x 60)
Power = 4360 W
3. Calculation of actual power consumed by the pump
Efficiency of the pump, η = 30%
Therefore, actual power consumed by the pump is given by the formula,
Actual power = Power / η
Actual power = 4360 / 0.3
Actual power = 14533.33 W or 14.533 kW
Hence, the electric power consumed by the pump is 14.533 kW, which is closest to option (c) 43.3 kW.
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Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer?.
Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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