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A 3730-kg SUV can climb up a 600-m high hill in one minute (60 seconds). How much is its power output in horse-powers? 245 hp

490 hp
800 hp
373 hp
600 hp

User Jome
by
7.9k points

1 Answer

2 votes

Answer:

490hp

Step-by-step explanation:

Power is energy per unit of time, an in this case the energy needed is the gravitational potential energy, so we have:


P=E/t=mgh/t=(3730kg)(9.8m/s)(600m)/60s=365540W

Since all units are in S.I. we get our result in Watts (Joules/s). To convert to horse power (imperial), we need to know that:


745.7 W = 1 hp

Which obviously means:


(1 hp)/(745.7 W) = 1

So we can write:


P=365540W=365540W((1 hp_m)/(745.7 W))=490hp

There is also metric horse power (
735.5 W = 1 hp), and using this value we get
P=497hp, although both results are close.

User Tajmahal
by
8.2k points

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