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A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U?
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A spring with the spring constant k when compressed by 1 cm the potent...
Explanation:
Given spring constant k and when compressed by 1 cm, potential energy stored is U.
Formula for potential energy stored in a spring is:
U = (1/2) kx^2
where x is the displacement from its equilibrium position.
When compressed by 1 cm, the displacement is x = -1 cm = -0.01 m.
So, U = (1/2) k (-0.01)^2 = (1/2) k (0.0001) = 0.00005 k
When further compressed by 3 cm,
The new displacement is x = -4 cm = -0.04 m.
The change in potential energy would be:
ΔU = U(final) - U(initial)
ΔU = (1/2) k(-0.04)^2 - (1/2) k(-0.01)^2
ΔU = (1/2) k (0.0016 - 0.0001)
ΔU = (1/2) k (0.0015)
ΔU = 0.00075 k
Answer:
So, the change in potential energy is 0.00075 k, which is not one of the given options. However, we can express it in terms of U:
ΔU = 0.00075 k = 0.00075 (1/U) U^2 = (0.00075/U) U^2
Since U = 0.00005 k, we have:
ΔU = (0.00075/U) U^2 = (0.00075/0.00005) U = 15 U
Therefore, the answer is option (4) 15U.
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A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U?
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A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U?.
A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spring with the spring constant k when compressed by 1 cm the potential energy stored is U if it is further compressed by 3 cm then change in its potential energy is (1) 3U (2) 9U (3) 8U (4) 15 U?.
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