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A position dependent force, F = (7 – 2x + 3x2) N acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5 m. Work done in joule is [1992]
- a)35
- b)70
- c)135
- d)270
Correct answer is option 'C'. Can you explain this answer?
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A position dependent force, F = (7 – 2x + 3x2) N acts on a small...
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A position dependent force, F = (7 – 2x + 3x2) N acts on a small...
Given data:
- Force, F = 7 - 2x + 3x^2 N
- Mass, m = 2 kg
- Initial position, x1 = 0 m
- Final position, x2 = 5 m
Calculation:
The work done by a force is given by the formula:
\[ W = \int_{x_1}^{x_2} F dx \]
Substitute the given force equation into the formula and integrate:
\[ W = \int_{0}^{5} (7 - 2x + 3x^2) dx \]
\[ W = [7x - x^2 + x^3]_{0}^{5} \]
\[ W = [7(5) - (5)^2 + (5)^3] - [7(0) - (0)^2 + (0)^3] \]
\[ W = 35 - 25 + 125 \]
\[ W = 135 \text{ Joules} \]
Therefore, the work done in displacing the body from x = 0 to x = 5 m is 135 Joules.
Hence, the correct answer is option C) 135.
- Force, F = 7 - 2x + 3x^2 N
- Mass, m = 2 kg
- Initial position, x1 = 0 m
- Final position, x2 = 5 m
Calculation:
The work done by a force is given by the formula:
\[ W = \int_{x_1}^{x_2} F dx \]
Substitute the given force equation into the formula and integrate:
\[ W = \int_{0}^{5} (7 - 2x + 3x^2) dx \]
\[ W = [7x - x^2 + x^3]_{0}^{5} \]
\[ W = [7(5) - (5)^2 + (5)^3] - [7(0) - (0)^2 + (0)^3] \]
\[ W = 35 - 25 + 125 \]
\[ W = 135 \text{ Joules} \]
Therefore, the work done in displacing the body from x = 0 to x = 5 m is 135 Joules.
Hence, the correct answer is option C) 135.
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A position dependent force, F = (7 – 2x + 3x2) N acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5 m. Work done in joule is [1992]a)35b)70c)135d)270Correct answer is option 'C'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A position dependent force, F = (7 – 2x + 3x2) N acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5 m. Work done in joule is [1992]a)35b)70c)135d)270Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A position dependent force, F = (7 – 2x + 3x2) N acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5 m. Work done in joule is [1992]a)35b)70c)135d)270Correct answer is option 'C'. Can you explain this answer?.
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