Question

A roller coaster weighing 2000 kg is lifted to a height of 28 m within 30 seconds with a kind of elevator.Calculate how many kilowatts of power the elevator has to deliver.

Answer 1

Answer:

Explanation:

The equation for Power is

P = Work/time to do work and the equation for work is

Work = FΔx

We first need to find the amount of work done, then we can find the power it took to do that work.

W = 2000(9.8)(28) so

W = 550,000 N*m

Now we fill that into the power equation:

$P=\frac{550000}{30}$ gives us

P = 18000 Watts. But we need kW, so we divide by 1000 to get

P = 18 kW of power.

Answer 2

Answer:

18.293 kilowatts

Explanation:

Given that, mass (m) = 2000 kg

Height (h) = 28m

Time(t) = 30 seconds

To find: power required in kilowatts

Now required work done will be m*g*h

= 2000*9.8*28=548800 newton

Now power required is given by (P) = work done /(time taken)

= 548800/30 = 18293.333 watts

= (18293.333 / 1000) kilowatts

= 18.293 kilowatts.