(a) Find the velocity of the block together with the bullet after impact. (b) Find the elastic coefficient of the spring. (c) Can the law of conservation of mechanical energy during impact be written and why? (d) How much energy is converted into heat?

(a) Find the velocity of the block together with the bullet after impact. (b) Find the elastic coefficient of the spring. (c) Can the law of conservation of mechanical energy during impact be written and why? (d) How much energy is converted into heat?

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Question

A block of mass M located on a horizontal surface is connected to a spring, which
the other end is fixed (Fig. 3). Bullet with mass m = 20g and horizontal velocity v0 =
600m / s hits the block with mass M = 980g and remains there, while the spring is compressed by 10cm.
(a) Find the velocity of the block together with the bullet after impact.
(b) Find the elastic coefficient of the spring.
(c) Can the law of conservation of mechanical energy during impact be written and why?
(d) How much energy is converted into heat?