Two planets (each having mass m) revolve around
a stationary star ( of mass M ) in a circle of radius
r. The two planets are always on opposite side of
the star (i.e. they are diametrically opposite and
always having separation 2r ). The orbital period

T of the planets is of the form T= 2 π✓r^3/GM`

What is the value of M`

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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