an 8hp crane lifts a 100kg piece of junk metal in a time of 15 seconds. to what distance was the load lifted?
Assumptions:
------------------------
1 hp = 746 watts
g = 10ms⁻²
Now
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Energy = power x time = 8(746)15 = 89520J
this is the energy needed to lift junk metal in 15 seconds to a distance h;
Energy = mgh
h = 89520/(100 x 10) = 89.52m (293.7ft)
hp = (m)(g)(h) /(746 * t)
8 = (100)(9.81)(h) /(746 * 15)
h = 91.25m <=ans
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Verified answer
Assumptions:
------------------------
1 hp = 746 watts
g = 10ms⁻²
Now
---------------------------
Energy = power x time = 8(746)15 = 89520J
this is the energy needed to lift junk metal in 15 seconds to a distance h;
Energy = mgh
h = 89520/(100 x 10) = 89.52m (293.7ft)
hp = (m)(g)(h) /(746 * t)
8 = (100)(9.81)(h) /(746 * 15)
h = 91.25m <=ans