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A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms–1. It collides with a horizontal spring of force constant 200 Nm–1 . The maximum compression produced in the spring will be : [2012]
  • a)
    0.5 m
  • b)
    0.6 m
  • c)
    0.7 m
  • d)
    0.2 m
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...
-1. The radius of the cylinder is 0.5 m. Calculate the kinetic energy of the cylinder.

First, we need to calculate the angular velocity of the cylinder, which can be found using the formula:

v = ωr

where v is the linear velocity, ω is the angular velocity, and r is the radius of the cylinder. Rearranging this formula, we get:

ω = v/r

Substituting the given values, we get:

ω = 4/0.5 = 8 rad/s

The kinetic energy of the cylinder can be calculated using the formula:

KE = (1/2)Iω^2 + (1/2)mv^2

where I is the moment of inertia of the cylinder, m is the mass of the cylinder, and v is the linear velocity.

The moment of inertia of a solid cylinder is given by:

I = (1/2)mr^2

Substituting the given values, we get:

I = (1/2)×3×(0.5)^2 = 0.375 kg m^2

Substituting all the values in the formula for KE, we get:

KE = (1/2)×0.375×8^2 + (1/2)×3×4^2
= 12 + 24
= 36 J

Therefore, the kinetic energy of the cylinder is 36 Joules.
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A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...
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A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms–1. It collides with a horizontal spring of force constant 200 Nm–1 . The maximum compression produced in the spring will be : [2012]a)0.5 mb)0.6 mc)0.7 md)0.2 mCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms–1. It collides with a horizontal spring of force constant 200 Nm–1 . The maximum compression produced in the spring will be : [2012]a)0.5 mb)0.6 mc)0.7 md)0.2 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms–1. It collides with a horizontal spring of force constant 200 Nm–1 . The maximum compression produced in the spring will be : [2012]a)0.5 mb)0.6 mc)0.7 md)0.2 mCorrect answer is option 'B'. Can you explain this answer?.
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