Please show all steps. Having a lot of troubles with this problem . Thank you Pr

Question

Please show all steps. Having a lot of troubles with this problem . Thank you Problem 1 -Chapter 13: A 5.0-gram bullet moving with an initial speed of 500 500 m/s m/s is fired into and passes through a 1.0-kg block, as in the figure. The block, initially at rest on a frictionless horizontal surface, is connected to a spring. The spring is not compressed, and the block is moving, as the bullet leaves the If the block moves a maximum of 7.0 block I I cm to the right after impact, and takes 0.1 seconds to 7 cm return to its equilibrium point, find I I a) Find the speed at which the bullet emerges from the block. b Find the mechanical energy lost in the collision. V.

Explanation / Answer

Then step by step formulation...

(a)
for the given problem we apply the work-energytheorem from the instant before the block contacts the springuntill the
instant the block leaves the spring so that weget
Wnc = KEf -KEi
= (1 /2) m (vf2 - vi2)
=- ........ J (energy lost)
(b)
the energy spent overcoming the frictionforce while the block is in contact with the spring is
f s = |Wnc|
where s = 2 xmax
xmax = the maximum distance thespring was compressed
xmax = |Wnc| / 2 f
=|Wnc| / 2 k n
=|Wnc| / 2 k m g
=....... m

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