Asked by Kelsey
A skier of mass 76 kg is pulled up a slope by a motor-driven cable.
(a) How much work is required to pull him 40 m up a 30° slope (assumed frictionless) at a constant speed of 2.5 m/s?
J
I know that the answer to the first problem is 14896Joules, but I do not know how to convert to hp
(b) What power must a motor have to perform this task?
(a) How much work is required to pull him 40 m up a 30° slope (assumed frictionless) at a constant speed of 2.5 m/s?
J
I know that the answer to the first problem is 14896Joules, but I do not know how to convert to hp
(b) What power must a motor have to perform this task?
Answers
Answered by
drwls
(a) The energy required to do the lifting is M g 40 sin 30 = 14,900 J
(b) Divide the work required by the time. To pull 40 m at a rate of 2.5 m/s will require a time of 40/2.5 = 16 seconds.
The power required will be in Watts.
746 W = 1 Horsepower, in case you want to convert to HP
(b) Divide the work required by the time. To pull 40 m at a rate of 2.5 m/s will require a time of 40/2.5 = 16 seconds.
The power required will be in Watts.
746 W = 1 Horsepower, in case you want to convert to HP
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