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welcome to our lecture line here were going to do a problem where were firing a bullet towards a block the block is sitting on a frictionless horizontal plane the block is attached to a spring and as the block as the bullet hits the block it doesnt go through the block he gets embedded in the block and pushes the block into the spring the spring compresses a total of 10 centimeters before the block gets pushed back so the questions are first of all what is the maximum potential energy in the spring would its full of compressed what is the velocity of the block right after the bullet hits the block and what is the initial velocity of the bullet to make the block compress the spring 10 centimeters so notice we have some interesting units on the board we have the mass of the bullet in grams the mass of the block in grams the compression in centimeters and the spring constant in terms of Dynes per centimeter 50,000 Dynes 4.5 centimeters which would be a hundred thousand Dynes per cent