Please show steps An amusement park thrill ride, \"the Drop\" has a 650 kg eleva
ID: 1470893 • Letter: P
Question
Please show steps
An amusement park thrill ride, "the Drop" has a 650 kg elevator which rises to a height of 250 ft in 10 seconds.
A.) how much work is required by the elevator to reach the top when lifting 10 teen (each with a mass of 50 kg)? B.)After reaching the peak, the elevator drops. How much kinetic energy does the ride elevator have (with the 10 teens) at a height of 50 feet from the ground?
C.) What is the velocity of the ride upon dropping at that point,at a height of 50 feet from the ground?
Explanation / Answer
Here ,
mass , m = 650 Kg
height , h = 250 feet
h = 76.2 m
time , t = 10 s
A) work done by the elevator = total mass * g * h
work done by the elevator = (650 + 10 * 50) * 9.8 * 76.2
work done by the elevator = 858774 J
the work done by the elevator is 858774 J
B)
height drop = 250 - 50 = 200 feet
h = 61 m
kinetic energy of elevator = m * g * h
kinetic energy of elevator = (650 + 10 * 50) * 9.8 * 61
kinetic energy of elevator = 687019 J
the kinetic energy of elevator is 687019 J
C)
let the velocity is v
0.5 * m * v^2 = kinetic energy
0.5 * (650 + 10 * 50) * v^2 = 687019
v = 34.6 m/s
the velocity of the ride upon dropping at that point is 34.6 m/s