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Consider the Situation of the Previous Question from a Frame Moving with a Speed V0 Parallel to the Initial Velocity of the Block. (A) What Are the Initial and Final Kinetic Energies?

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प्रश्न

Consider the situation of the previous question from a frame moving with a speed v0 parallel to the initial velocity of the block. (a) What are the initial and final kinetic energies? (b) What is the work done by the kinetic friction? 

 
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उत्तर

The relative velocity of the ball w.r.t. the moving frame is given by \[v_r = v - v_0\]

(a) Initial kinetic energy of the ball =\[\frac{1}{2}m {v_r}^2 = \frac{1}{2}m(v - v_0 )^2\]

Also, final kinetic energy of the ball =\[\frac{1}{2}m(0 - v_0 )^2 = \frac{1}{2}m {v_0}^2\]

(b) Work done by the kinetic friction = final kinetic energy -  initial kinetic energy 

                                                          =\[\frac{1}{2}m( v_0 )^2 - \frac{1}{2}m(v - v_0 )^2\]
                                                          = \[- \frac{1}{2}m v^2 + \text{mv v}_0\]
 
 
 
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पाठ 8: Work and Energy - Short Answers [पृष्ठ १३१]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 8 Work and Energy
Short Answers | Q 17 | पृष्ठ १३१

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