The elevator lifted several people 20 meters. at the same time, a work of 42kJ was performed.
The elevator lifted several people 20 meters. at the same time, a work of 42kJ was performed. How many people have lifted the lift if the weight of each of them can be considered equal to 700 N?
h = 20 m.
g = 10 N / kg.
A = 42 kJ = 42000 J.
P1 = 700 N.
n -?
The mechanical operation of elevator A is determined by the formula: A = m * g * h, where m is the mass of all passengers, g is the acceleration of gravity, h is the lift height.
m = n * m1, where n is the number of passengers, m1 is the mass of one passenger.
A = n * m1 * g * h.
The product of the passenger’s mass m1 and the gravitational acceleration g will be his weight p1: P1 = m1 * g.
A = n * P1 * h.
The number of passengers will be determined by the formula: n = A / P1 * h.
n = 42000 J / 700 N * 20 m = 3.
Answer: there were n = 3 passengers in the elevator.