Question
An escalator has $$2400\,W$$ of power available to move passengers from the first floor of a mall to the second, $$6.0\,m$$ vertically. If the average mass of the passengers is $$65\,kg,$$ what is the maximum number of passengers that can be carried to the second floor in $$1.0$$ minute?
An escalator has $$2400\,W$$ of power available to move passengers from the first floor of a mall to the second, $$6.0\,m$$ vertically. If the average mass of the passengers is $$65\,kg,$$ what is the maximum number of passengers that can be carried to the second floor in $$1.0$$ minute?
A.
4
B.
5
C.
22
D.
37
Answer :
37
Solution :
$$\eqalign{ & Pt = nmgh \cr & 2400\left( {60} \right) = n\left( {65} \right)\left( {9.8} \right)\left( 6 \right);n = 37 \cr} $$
$$\eqalign{ & Pt = nmgh \cr & 2400\left( {60} \right) = n\left( {65} \right)\left( {9.8} \right)\left( 6 \right);n = 37 \cr} $$