JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
A body of mass \(1\) kg moves along a straight line with a velocity \(v = 2x^2\). The work done by the body during displacement from \(x = 0\) to \(5\) m is __________ J.
- A \(0\)
- B \(250\)
- C \(1250\)
- D \(1000\)
Answer & Solution
Correct Answer
(C) \(1250\)
Step-by-step Solution
Detailed explanation
Given mass \(m = 1\) kg and velocity \(v = 2x^2\). According to the work-energy theorem, the work done by the net force is equal to the change in kinetic energy of the body. \(W = \Delta K = K_f - K_i\) At \(x = 0\) m, initial velocity \(v_i = 2(0)^2 = 0\) m/s. At \(x = 5\) m,…
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