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Work Done as Dot Product

a person appl...

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a person applies a force f on a box inside a moving train. If S1 is the displacement of box w.r.t. train and S2 is the displacement of train w.r.t. grounf, then the work done by the person in the frame of earth will be 1. F. S1 2. F.S2 3. F. (S1+S2) 4. F. (S1- S2)

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Q. If a person is pushing a box inside a moving train, the work done in the frame of earth will be:

{\to S}_{0} =

displacement of the train relative to ground.

\to S =

displacement of the box w.r.t. train.

Q. If a person is pushing a box inside a moving train, the work done in the frame of earth will be:

{\to S}_{0} =

displacement of the train relative to ground.

\to S =

displacement of the box w.r.t. train.

Q. A force F acting on a body depends on its displacement

S

F \propto S^{1 / 3}

. The power delivered by

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will depend on displacement as:

Q. A body is moving from rest under constant acceleration and let

S_{1}

be the displacement in the first

(p - 1)

S_{2}

be the displacement in the first p sec. The displacement in

(p^{2} - p + 1)^{t h}

S_{1}

moving with a uniform velocity of

108 k m / h

approaches another train

S_{2}

standing on a platform. An observer

O

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36 k m / h

S_{2}

as shown in figure. Both the trains are blowing whistles of same frequency

120 H z

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and distance between

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800 m

, the number of beats heard by O is . (Speed of the sound

= 330 m / s

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