Answer:
[tex] \boxed{\sf Efficiency \ of \ the \ motor = 62.5 \ \%} [/tex]
Given:
Input Power ([tex] \sf P_i [/tex])= 1000 W
Mass (m) = 100 kg
Height (h) = 10 m
Time (t) = 16 s
To Find:
Efficiency of the motor
Explanation:
[tex] \boxed{ \bold{Output \: power \: (P_o)= \frac{mgh}{t}}}[/tex]
[tex] \sf \implies P_o = \frac{100 \times 10 \times 10}{16} [/tex]
[tex] \sf \implies P_o = \frac{10000}{16} [/tex]
[tex] \sf \implies P_o = \frac{ \cancel{16} \times 625}{ \cancel{16}} [/tex]
[tex] \sf \implies P_o = 625 \: W[/tex]
[tex] \boxed{ \bold{Efficiency = \frac{Output \ Power \ (P_o)}{Input \ Power \ (P_i) } \times 100}}[/tex]
[tex]\sf \implies Efficiency = \frac{625}{10 \cancel{00}} \times \cancel{100}[/tex]
[tex]\sf \implies Efficiency = \frac{625}{10} [/tex]
[tex]\sf \implies Efficiency = 62.5 \: \%[/tex]
[tex] \therefore[/tex]
Efficiency of the motor = 62.5 %
