A bomb of mass 3 kg, initially at rest, explodes into two parts of 2 kg and 1 kg. The 2 kg mass travels with a velocity of 3 m/s. At what velocity will the 1 kg mass travel?

A 5 N force acts on a 2.5 kg mass at rest, making it accelerate in a straight line.

(i) What is the acceleration of the mass?

(ii) How long will it take to move the mass through 20m?

(iii) Find its velocity after 3 seconds.

State the law of conservation of momentum. Two billion people jump above the earth’s surface with a speed of 4m/s from the same spot. The mass of the earth is 6x10²⁴ kg.

The average mass of one person is 60 kg.

i) What is the total momentum of all the people?

ii) What will be the effect of this action on the earth?

State Newton’s law of gravitation. Write an expression for acceleration due to gravity on the surface of the earth. If the ratio of acceleration due to gravity of two heavenly bodies is 1:4 and the ratio of their radii is 1:3, what will be the ratio of their masses?

Two ice skaters of weight 60 kg and 50 kg are holding the two ends of a rope. The rope is taut. The 60 kg man pulls the rope with 20 N force. What will be the force exerted by the rope on the other person? What will be their respective acceleration?