Question

How much horsepower is needed to lift a box that is 10 lb 3 ft in 10 seconds

Answer 1

The power needed is 0.0054 hp

Explanation:

First of all, we need to convert the mass from pounds to kilograms:

$m= 10 lb \cdot 0.454 = 4.54 kg$

Then we have to convert the height from feet to meters:

$h= 3 ft \cdot 0.3048 = 0.91 m$

The weight of the object is:

$F=mg=(4.54)(9.81)=44.5 N$

Now we can calculate the work needed to lift the box, which is equal to the change in gravitational potential energy of the object:

$W=Fh=(44.5)(0.91)=40.5 J$

The power required to lift the object is given by:

$P=\frac{W}{t}$

where

W = 40.5 J is the work done

t = 10 s is the time taken

Substituting,

$P=\frac{40.5}{10}=4.05 W$

And finally, we can convert into horsepower, keeping in mind that

1 hp = 746 W

We find

$P=(4.05 W)\cdot \frac{1}{746}=0.0054 hp$

Learn more about power:

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Answer 2

Answer:

Hi. The answer is 30, or A. Im sure

Explanation: