Energy problem-worker on roof of a building dropped a wrench over the edge

AI Thread Summary
A worker dropped a 0.125 kg wrench from a roof, and it reached a speed of 33.1 m/s at the 8th floor of a building. The building's first floor is 12.0 m high, with each subsequent floor measuring 8.00 m. To determine the total number of floors, the height difference between the roof and the 8th floor can be calculated using the wrench's speed and gravitational potential energy. The kinetic energy of the wrench just before it hits the ground can also be calculated using its mass and velocity. The discussion seeks assistance in solving these physics problems related to energy and motion.
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Homework Statement



a worker on the roof of a building that is under construction dropped a 0.125 kg wrench over the edge. another workman on the 8th floor saw the wrench go by and determined that its speed at that level was 33.1 m/s. the first floor of the building is 12.0m high and each successive floor is 8.00m high. neglecting air friction, how many floors does the building have? how fast was the wrench falling just before it hit the ground? what was its kinetic energy just before it hit the ground?

Homework Equations


Eg=mgh
m-mass, g=9.8, h-height
Ek=1/2 X mv^2
Ek-kinetic energy


The Attempt at a Solution



I have no idea how to solve this. Please help! Thank you!
 
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you know the wrench starts from 0 velocity and reaches 33.1m/s when at the height of 8th floor. can you deduce the height difference between roof and 8th floor from this info?
 
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