Question

Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls while in air
(a) depends on the direction of the motion of the balls
(b) depends on the masses of the two balls
(c) depends on the speeds of the two balls
(d) is equal to g.

Answer 1

Answer:

is equal to g

as for both balls acceleration is downwards due to gravity so {a}com = m1g+m2g/ m1+m2

by taking downwards positive

=g(m1+m2) /m1+ m2

=g

Answer 2

(d) Is Equal to g.

The acceleration of the center of mass of the two balls while in air is equal to gravitation (g)

Explanation:

• Two balls are thrown into the air simultaneously.
• The movement of the two balls mass center while in air is equal to g. Because there is no horizontal force.
• There will be no Horizontal acceleration of the Center of Mass Whichever direction may be, two balls mass or speed.
• Only force is the force of gravity Thus acceleration of the center of mass is due to gravity g.
• So when two balls are thrown simultaneously in air, the acceleration of the center of mass of the two balls while in air is equal to gravity (g).