Answer :
To determine power when you are given force and time, you must understand the relationship between these quantities and power.
Power ([tex]\(P\)[/tex]) is defined as the rate at which work is done. Mathematically, this is represented as:
[tex]\[ P = \frac{W}{t} \][/tex]
where [tex]\(W\)[/tex] is the work done and [tex]\(t\)[/tex] is the time over which the work is done.
Work ([tex]\(W\)[/tex]) itself is defined as the product of force ([tex]\(F\)[/tex]) and distance ([tex]\(d\)[/tex]):
[tex]\[ W = F \cdot d \][/tex]
Substituting this into the formula for power, we get:
[tex]\[ P = \frac{F \cdot d}{t} \][/tex]
From this equation, it is clear that to determine power, you need to know the force ([tex]\(F\)[/tex]), the distance ([tex]\(d\)[/tex]), and the time ([tex]\(t\)[/tex]).
Given in the question, you already know force and time. Therefore, the remaining quantity you need to determine power is:
[tex]\[ \boxed{distance} \][/tex]
Power ([tex]\(P\)[/tex]) is defined as the rate at which work is done. Mathematically, this is represented as:
[tex]\[ P = \frac{W}{t} \][/tex]
where [tex]\(W\)[/tex] is the work done and [tex]\(t\)[/tex] is the time over which the work is done.
Work ([tex]\(W\)[/tex]) itself is defined as the product of force ([tex]\(F\)[/tex]) and distance ([tex]\(d\)[/tex]):
[tex]\[ W = F \cdot d \][/tex]
Substituting this into the formula for power, we get:
[tex]\[ P = \frac{F \cdot d}{t} \][/tex]
From this equation, it is clear that to determine power, you need to know the force ([tex]\(F\)[/tex]), the distance ([tex]\(d\)[/tex]), and the time ([tex]\(t\)[/tex]).
Given in the question, you already know force and time. Therefore, the remaining quantity you need to determine power is:
[tex]\[ \boxed{distance} \][/tex]
