An ingenious brick layer builds a device for shooting bricks upto the top of the

Question

An ingenious brick layer builds a device for shooting bricks upto the top of the wall where he is working. He places a brick on avertical compressed spring with force constant k = 424 N/m andnegligible mass. When the spring is released, the brick ispropelled upward. If the brick has mass 1.77 kg and is to reach amaximum height of 2.6 m above its initial position on thecompressed spring, what distance must the bricklayer compress thespring initially? (Note: The brick loses contact with the springwhen the spring returns to its uncompressed length.)

Give your answer in meters to the second decimal place.

The computer system says the correct answer = 0.46 meters. (Ineed to know the steps needed to obtain this answer, will giveimmediate and great ratings for clear step by step operations.Thanks.)

Explanation / Answer

total potential energy of the compressed spring will betransfered to the gravitational potential energy of the ball whenit reaches the highest point. we have k*x2/2=mg*h ; x is inital position on compressed ofthe spring 424*x2/2=1.77*9.8*2.6 => x=0.46m

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