14 A ball of mass mis projected with speed v into the barrel of a spring gun of mass M initially at rest on a frictionless surface. The mass m sticks in the barrel at the point of maximum compression of the spring. No energy is lost in friction. What fraction of the initial kinetic energy of the ball is stored in the spring? m 1600000000000000 Figure 4.127

A ball of mass m is projected with a speed v into the barrel of a spring gun of mass M initially at rest lying on a frictionless surface. The mass sticks in the barrel at the point of maximum compression in the spring. The fraction of kinetic energy of the ball stored in the spring is

A ball of mass m is projected with a speed v into the barrel of a spring gun of mass M initially at rest lying on a frictionless surface. The mass sticks in the barrel at the point of maximum compression in the spring. The fraction of kinetic energy of the ball stored in the spring is

A ball of mass m is projected horizontally with velocity v into the barrel of a spring gun of mass M initially at rest on a frictionless table. The mass m sticks in the barrel at the point of maximum compression of the spring. What fraction of the initial energy of the ball is stored in the spring ? [Hint : Apply energy conservation principal to the system to obtain the maximum work done on the spring which is stored as potential energy of the spring. The spring will be progressively compressed till the two acquire a common velocity]

In Fig. , a ball of mass m = 60 g is shot with speed v_i = 22 m/s into the barrel of a spring gun of mass M= 240 g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. (a) What is the speed of the spring gun after the ball stops in the barrel? (6) What fraction of the initial kinetic energy of the ball is stored in the spring?

A ball of mass m=6kg is shot with speed v=20m//s into a barrel of spring gun of mass M=24kg initially at rest. All surfaces are smooth & spring is massless. Speed of gun after ball stops relative to gun is

A ball of mass m=6kg is shot with speed v=20m//s into a barrel of spring gun of mass M=24kg initially at rest. All surfaces are smooth & spring is massless. Sped of gun after ball stops relative to gun is

A block of mass m initially at rest is dropped from a height h on to a spring of force constant k . the maximum compression in the spring is x then

A loaded spring gun, initially at rest on a horizontal frictionless surface fires a marble of mass m at an angle of elecation theta , then velocity of the gun just after the firing is :

A mass m moves with a speed v on a horizontal smooth surface and collides with a nearly massless spring whose spring constant is k. If the mass stops after collision, compute the maximum compression of the spring.