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Motion In Straight Line

Question
CBSEENPH11020735
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The figure shows elliptical orbit of a planet m about the sun S. The shaded are SCD is twice the shaded area SAB. If t1 is the time for the planet to move from C to D and t2 is the time to move from A to B then,

  • t1 > t2

  • t1 =4 t2

  • t1 = 2t2

  • t1 = t2

Solution

C.

t1 = 2t2

Apply Kepler's law of area fo planetary motion.
The line joining the sun to the planet sweeps out equal areas time interval ie, areal velocity is constant.
dA over dt equals space constant or space straight A subscript 1 over straight t subscript 1 equals straight A subscript 2 over straight t subscript 2 rightwards double arrow space straight t subscript 1 space equals space straight A subscript 1 over straight A subscript 2 straight t subscript 1 Given comma straight A subscript 1 space equals space 2 straight A subscript 2 therefore comma space straight t subscript 1 space equals 2 straight t subscript 2

Some More Questions From Motion in Straight Line Chapter

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: 

(a) A kite flying in the sky.

(b) The earth revolving around the sun. 

(c) A train moving along the equator of the earth in clockwise direction. 

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

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