Question

two men with weight in the ratio 5:3 run up a staircase in times in the ratio 11:9. the ratio of power is?​

Answer 1

Answer:

$\dfrac{P_1}{P_2}=\dfrac{15}{11}$

Explanation:

Let W₁ and W₂ are the weight of two men such that,

$\dfrac{W_1}{W_2}=\dfrac{5}{3}$

Let P₁ and P₂ are time taken by two men such that,

$\dfrac{t_1}{t_2}=\dfrac{11}{9}$

We need to find the power gained by two men. The formula of power delivered is given by :

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

Since, W = mg

$P=\dfrac{mgh}{t}$

i.e

$P\propto \dfrac{F}{t}$

$\dfrac{P_1}{P_2}=\dfrac{F_1t_2}{F_2t_1}$

$\dfrac{P_1}{P_2}=\dfrac{5\times 9}{3\times 11}$

$\dfrac{P_1}{P_2}=\dfrac{15}{11}$

So, the ratio o power is 15:11. Hence, this is the required solution.

Answer 2

Answer:

15/11

Explanation:

p is directly proportional to f and inversely proportional to t