A 63 kg object needs to be lifted 7 meters in a matter of 5 seconds. Approximately how much horsepower is required to achieve this task?

A. 0.59 hp
B. 864.36 hp
C. 441 hp
D. 1.16 hp

Respuesta :

its d.1.16 hp i just took the test on penn foster


Answer:

1.16 horse power is required to achieve this task.

Explanation:

It is given that,

Mass of the object, m = 63 kg

It is lifted to a height of, h = 7 m

Time taken, t = 5 s

Work done per unit time is called power required to achieve any task. Mathematically, it is given by :

[tex]P=\dfrac{W}{t}=\dfrac{mgh}{t}[/tex]

[tex]P=\dfrac{63\ kg\times 9.8\ m/s^2\times 7\ m}{5\ s}[/tex]  

P = 864.36 Watts

Since, 1 horse power = 746 watts

So, P = 1.159 hp

or

P = 1.16 hp

So, 1.16 horse power is required to achieve this task. Hence, the correct option is (d).