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  • A man of mass () is sitting in a train moving with velocity  . He observes that a

A man of mass (m_A) is sitting in a train moving with velocity v_1 = 3 m/s . He observes that a block of mass m_B is moving towards him with velocity v_2 = 5 m/s. Then the kinetic energy (in Joule) of block w.r.t  man in train is (Assume m _B= 5 Kg)

Option: 1

62.5


Option: 2

90


Option: 3

55


Option: 4

70


Answers (1)

best_answer

As we have learned

Work done depends on the frame of refrence -

W= \vec{F}\cdot \left ( \vec{S}+\vec{S_{0}} \right )

- wherein

i.e. A person is pushing a box inside a moving train with a force  \vec{F}

Displacement inside train \vec{S}

Displacement of the train is \vec{S}_{0}

 

 K.E of the block from the reference frame of the train is  \frac{1}{2} m ( v_2) ^2

where v2 is the velocity of block w.r.t man in the train

\\=\frac{1}{2} \times 5 \times [ 5] ^2 = 1/2 \times 5 \times 25\\ \\ =\frac{125 }{2}= 62.5 J

 

 

 

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mansi

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