Abullet with mass 20 grams and velocity 100 m/s collides with a wooden block of mass 2 kg. the wooden block is initially at rest, and is connected to a spring with k = 800 n/m. the other end of the spring is attached to an immovable wall. what is the maximum compression of the spring?

We have that for the Question, it can be said that the  maximum compression of the spring will be

x=0.049m

From the question we are told

A bullet with mass 20 grams and velocity 100 m/s collides with a wooden block of mass 2 kg. The wooden block is initially at rest, and is connected to a spring with k = 800 N/m. The other end of the spring is attached to an immovable wall. What is the maximum compression of the spring?

Generally the equation for the conservation  is mathematically given as

Hence

The  maximum compression of the spring will be

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4.97 cm

Explanation:

Given

mass of bullet=20 gm

velocity of bullet=100 m/s

mass of block=2 kg

spring constant k=800 N/m

conserving momentum

v=0.99 m/s

Now using conservation of energy

x=0.0497 m

x=4.97 cm