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Q.

Two balls of equal masses are thrown at the same time in vacuum. While they are in vacuum, the acceleration of their centre of mass

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a

depends on masses of the balls

b

depends on direction of motion of the balls

c

depends on speeds of the balls

d

is equal to accelaration due to gravity

answer is D.

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Detailed Solution

  • There won't be any acceleration of the centre of mass in the horizontal direction because there is no force acting in that direction. 
  • The gravitational force is the only force acting on the two balls, regardless of their direction, mass, or speed.
  • Therefore, the acceleration caused by gravity, or g, will be the acceleration of the centre of mass. 
  • Hence , when the two balls are in the air, their respective centres of mass accelerate at a rate of g.

Hence the correct answer is is equal to accelaration due to gravity.

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