Can a body remain at rest position when external forces are acting on it?

If no external force acts on a system

If no external force acts on a system

The velocity of centre of mass of the system remains constant, if the total external force acting on the system is.

Figure shows a block kept on a rough inclined plane. The maximum external force along the plane downwards for which the block remains at rest is 1N while the maximum external force along the incline upwards for which the block is rest is 7N. The coefficient of static friction mu is

Is it possible that an object is in the state of accelerated motion due to external force acting on it, but no work is being done by the force. Explain it with as example.

Assertion : An external force is required to keep a body in motion. Reason : If the net external force is zero, a body at rest continues to remain at rest and a body in motion continues to move with a uniform velocity.

According to the principle of conservation of linear momentum, if the external force acting on the system is zero, the linear momentum of the system will remain conserved. It means if the centre of mass of a system is initially at rest, it will remain, at rest in the absence of external force, that is, the displacement of centre of mass will be zero. Two blocks of masses 'm' and '2m' are placed as shown in Fig. There is no friction anywhere. A spring of force constant k is attached to the bigger block. Mass 'm' is kept in touch with the spring but not attached to it. 'A' and 'B' are two supports attached to '2m' . Now m is moved towards left so that spring is compressed by distance 'x' and then the system is released from rest. Find the relative velocity of the blocks after 'm' leaves contact with the spring.

(A) : When external force acting on a body moving on a rough horizontal surface is doubled, the acceleration of the body is doubled. (R ) : The acceleration of a body moving on a rough horizontal surface is proportional to the resultant force acting on it.

STATEMENT-1 : If a body is floacting submerged,then on pressing, it will execute damped oscillatory motion. and STATEMENT-2 : When a body is floating fully submerged and displaced from its position , then no net force acts at its position.

Figure shows a block kept on a rough inclined plane. The maximum external force down the incline for which the block remains at rest is 1 N while the maximum external force up the incline for which the block is at rest is 7 N. The coefficient of static friction mu is: