A tape role contains 70 m long tape bound on a spool. the inner radius of spool is 10mm and outer radius is 25mm. a motor is used to bind the tape which rotates the spool at constant angular velocity and it takes 2min 45sec to completely bind the tape. calculate the length of the tape which will wind in 1min 50s.

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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