a force F acts on a block conected to sprig a force constant K as shown .The extension obtained in equillibrium x1 .If the spring constant is quadrapled ,then extension in equillibrium with same force F is X2 .Then x1:x2 is

A constant force produces maximum velocity V on the block connected to the spring of force constant K as shown in the figure. When the force constant of spring becomes 4K, the maximum velocity of the block is

A block of mass m is suspended by different springs of force constant shown in figure.

A spring of force constant k extends by a length X on loading . If T is the tension in the spring then the energy stored in the spring is

Two springs are in a series combination and are attached to a block of mass 'm' which is in equilibrium. The spring constants and extension in the springs are as shown in the figure. Then the force exerted by the spring on the block is :

A spring of force constant k is cut into lengths of ratio 1 : 2 : 3 . They are connected in series and the new force constant is k'. Then they are connected in parallel and force constant is k'. Then k' : k" is :

A spring of force constant k is cut into lengths of ratio 1 : 2 : 3 . They are connected in series and the new force constant is k'. Then they are connected in parallel and force constant is k'. Then k' : k" is :

A block of mass m rests on a rough horizontal plane having coefficient of kinetic friction mu_(k) and coefficient of static friction mu_(s) . The spring is in its natural, when a constant force of magnitude P=(5mu_(k)mg)/(4) starts acting on the block. The spring force F is a function of extension x as F=kx^(2).( Where k is spring constant ) (a) Comment on the relation between mu_(s) and mu_(k) for the motion to start. (b) Find the maximum extension in the spring ( Assume the force P is sufficient make the block move ) .

A string of length L and force constant k is stretched to obtain extension l. It is further stretched to obtain extension l_(1) . The work done in second stretching is

Infinite springs with force constant k , 2k, 4k and 8 k .... respectively are connected in series. The effective force constant of the spring will b

A force F = - kx^(3) is acting on a block moving along x-axis. Here, k is a positive constant. Work done by this force is