That neighbor\'s pesky kid now has new missiles that make elastic collisions- He

Question

That neighbor's pesky kid now has new missiles that make elastic collisions-

He insists on throwing 25.0 g rocks at your new 2.25 kg light fixture hanging by a 26.0 cm wire from the ceiling of your porch. If each rock strikes the fixture traveling at 10.0 m/s, how high will the light fixture go after it is hit by one of these new missiles?


h= ?m

I did a search for the solution to this problem and attempted to solve it with the solution provided by one of the cramster apprentices and it was not correct. Please assist.

Explanation / Answer

Ec + Ep = Ec' + Ep' g= Gravity
mv2/2 + mgh = mv2/2 + mgh
mv2/2 + 0 = 0 + mgh mv2/2 + 0 = 0 + mgh Inicial "h" = 0
Final velocity on the lamp = 0 because it is at it's highest point
Gravity it about 10m/s2
2.25 x 0.011 x 0.011 + 0 = 2.25 x 10 x h
h = 0.000012m Conclusion: The lamp will go up 0.0012cm (cm = centimeters)

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