Steel mass attached to the ceiling, maximum height gain if it is hit

AI Thread Summary
A 275 kg steel mass is suspended from the ceiling and struck horizontally with a speed of 1.75 m/s. The problem involves calculating the maximum height gain of the mass after the collision, using conservation of energy principles. Initially, the kinetic energy of the mass is converted into gravitational potential energy at its highest point. The correct calculation yields a maximum height gain of 15.6 cm after considering the proper application of the equations. The discussion highlights the importance of accurately applying the conservation of energy formula to solve the problem.
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Homework Statement


A 275 KG steel mass is held by a long cable to the ceiling. Daniel hits the steel mass horizontally and gives it a horizontal speed of 1.75 m/s. Assuming there is no friction, determine the maximum height gain, in centimetres, of the steel mass after the collision.


Homework Equations


W = Fd
E = 1/2mv^2
Eg = mgh


The Attempt at a Solution



These are the only three equations given in the question, and no angle is given in the question so how would I calculate the height at which the pendulum moves (if the question is suggesting that the steel block is moving in a pendulum fashion which I am not entirely sure of)
 
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Try conservation of energy. When it is at its highest point, the mass is not moving so all of its initial kinetic energy has been converted into gravitational potential energy.
 
All right so using the law of conservation of energy here is what I got.
1/2mv^2 + mgh = 1/2mv^2 + mgh
1/2(275)(1.75) + 0 = 0 + (275)(9.8)h
240.625/2695 = h
h = 8.9 cm but the answer is 15.6 cm
 
Oh and I used the rest position of the steel block as my reference point because they didnt give the distance off of the ground.
 
Don't forget to square the velocity.
 
Oh never mind I got the answer. Thanks for the helps HS-Scientist!
 
Yeah just realized that! I got 15.6 cm after I fixed that.
 
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