What will be the net acceleration of a given block of mass 2kg kept on a smooth surface?

For given system as shown in figure, the acceleration of block of mass m(m=M/2) kept on smooth table when the system is released from rest is (Strings and pulleys are ideal)

For given system as shown in figure, the acceleration of block of mass m(m=frac{M}{2}) kept on smooth table when the system is released from rest is (Strings and pulleys are ideal)

In the given figure, what will be acceleration of block of mass 7 kg?

A girl of mass 25 kg running with a speed of 1.5 m/s jumps on a skateboard of mass 2 kg kept on a smooth surface. What will be their combined velocity?

A force of 50N acts in the direction as shown in figure. The block of mass 5kg, resting on a smooth horizontal surface. Find out the acceleration of the block.

A force of 50N acts in the direction as shown in figure. The block of mass 5kg, resting on a smooth horizontal surface. Find out the acceleration of the block.

If the inclination of an inclined plane is 30^(@) , a block of mass m kept at rest on the surface of the plane, will just slide down. If the inclination is raised to 45^(@) what will be the acceleration of the body ?

A block of mass m_(1)=2 kg is kept on a smooth horizontal table. Another block of mass m_(2)=1 kg is connected to m_(1) by a light inextensible string passing over a smooth pulley as shown in the figure. If the blocks are released, what will be the (a) acceleration of each block (b) tension in the string?

Two blocks of mass 2 kg and 4 kg are accelerated with same acceleration by a force 10 N as shown in figure on a smooth horizontal surface. Then the spring force between the two blocks will be (spring is massless)

Two blocks of masses 10 kg and 9 kg are connected with light string which is passing over an ideal pulley as shown in figure. If system is released from rest then the acceleration of 9 kg block at the given instant is about (Assume all the surfaces are smooth and g = 10 m/s^2 )