CONCEPT:
- Power: The rate of work done is called power.
- It is denoted by P.
- Mathematically it is written as
\(Power\;\left( P \right) = \frac{{\;W}}{{t}}\)
CALCULATION:
Given - mass of 1st person (m1) = 80 kg, mass of 2nd person (m2) = 60 kg, time (t1) = 12 sec, and time (t2) = 11 sec
- The power to take an object to a certain height in 12 sec by 1st person is
\(\Rightarrow P_1 = \frac{mgh}{t}=\frac{80gh}{12}\) ----(1)
- The power to take an object to a certain height in 11 sec by 2nd person is
\(\Rightarrow P_1 = \frac{mgh}{t}=\frac{60gh}{11}\) ----(2)
On dividing equations 1 and 2, we get
\(\Rightarrow \frac{P_1}{P_2} =\frac{\frac{80gh}{12}}{\frac{60gh}{11}}=\frac{11}{9}\)