How much horsepower is needed to lift a box that is 10 lb 3 ft in 10 seconds
2 answers:
The power needed is 0.0054 hp
Explanation:
First of all, we need to convert the mass from pounds to kilograms:
Then we have to convert the height from feet to meters:
The weight of the object is:
Now we can calculate the work needed to lift the box, which is equal to the change in gravitational potential energy of the object:
The power required to lift the object is given by:
where
W = 40.5 J is the work done
t = 10 s is the time taken
Substituting,
And finally, we can convert into horsepower, keeping in mind that
1 hp = 746 W
We find
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Answer: Rock require larger drag force and to achieve it rock need to move at a very high terminal velocity.
Explanation: Terminal velocity is defined as the final velocity attained by an object falling under the gravity. At this moment weight is balanced by the air resistance or drag force and body falls with zero acceleration i.e. with a constant velocity.
Case 1: Terminal velocity of a piece of tissue paper.
The weight of tissue paper is very less and it experiences an air resistance while falling downward under the effect of gravity.
Downward gravitational force, F = mg
Upward air resistance or friction or drag force will be
So, paper will attain terminal velocity when mg =
Case 2: Rock is very heavy and require larger air resistance to balance the weight of rock relative to the tissue paper case.
Downward force on rock, F = Mg
Drag force =
Rock will attain terminal velocity when Mg =
Mg > mg
so, >
And rock require larger drag force and to achieve it rock need to move at a very high terminal velocity.