Assertion: A constant force F is applied on two blocks and one spring system as shown in figure. Velocity of centre of mass increases linearly with time.

Reason: Acceleration of centre of mass is constant.

What will be the force constant of the spring system shown in figure?

The acceleration of centre of mass of system as shown in figure is

Two blocks of equal mass m are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on one of the blocks pulling it away from the other as shown in figure. (a) Find the displacement of the centre of mass at time t. (b) If the extension of the spring is x_0 at time t, find the displacement of the two blocks at this instant.

Two blocks of equal mass m are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on one of the blocks pulling it away from the other as shown in figure. (a) Find the displacement of the centre of mass at time t. (b) If the extension of the spring is x_0 at time t, find the displacement of the two blocks at this instant.

Two blocks each of mass m, connected by an un-stretched spring are kept at rest on a frictionless horizontal surface. A constant force F is applied on one of the blocks pulling it away from the other as shown in figure. (a)Find accelaration of the mass center. (b) Find the displacement of the centre of mass as function of time t. (c) If the extension of the spring is X_(0) at an instant t, find the displacements of the two blocks relative to the ground at this instant.

Two blocks each of mass m, connected by an un-stretched spring are kept at rest on a frictionless horizontal surface. A constant force F is applied on one of the blocks pulling it away from the other as shown in figure. (a)Find accelaration of the mass center. (b) Find the displacement of the centre of mass as function of time t. (c) If the extension of the spring is X_(0) at an instant t, find the displacements of the two blocks relative to the ground at this instant.

Two blocks each of mass m, connected by an un-stretched spring are kept at rest on a frictionless horizontal surface. A constant force F is applied on one of the blocks pulling it away from the other as shown in figure. (a)Find accelaration of the mass center. (b) Find the displacement of the centre of mass as function of time t. (c) If the extension of the spring is X_(0) at an instant t, find the displacements of the two blocks relative to the ground at this instant.

Two block of equal mass m are connected by an unstretched spring and the sytem is kept at rest on a frictionless horizontal surface. A constant force F is applied on one of the blocks puling it away from the other as shown in figure. a.Find the positon of the centre of mass at time t. b.If the extansion of the spring is x_0 at time t find the displacement of the two blocks at this instant.