A system consists of three masses m₁, m₂ and m₃ connected by a string passing over a pulley P. The mass m₁ hangs freely and m₂ and m₃ are on a rough horizontal table (the coefficient of friction= ). the pulley is frictionless and of negligible mass. The downward acceleration of mass m₁ is,

The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle  without slipping and slipping down the incline without rolling is,

• 5:7

• 2:3

• 2:5

• 7:5

A car of mass 1000 kg negotiates a banked curve of radius 90m on a frictionless road. If the banking angle is 45^o, the speed of the car is 

• 20 ms^-1

• 30ms^-1

• 5 ms^-1

• 10 ms^-1

Two sphere A and B of masses m₁ and m₂ respectively collide. A is at rest initially and B is moving with velocity v along the x -axis. After the collision, B has a velocity v/2 in a direction perpendicular to the original direction. The mass A moves after collision in the direction

• same as that of B

• opposite to that of B

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