The roof of an apartment building is 58 meters high. A water tank on the roof has a mass of 38,000 kilograms. What is the potential energy of the water tank?(1 point)

Responses

21,599,200 J
21,599,200 J

2,204,000 J
2,204,000 J

211,672,160 J
211,672,160 J

10,799,600 J

1 answer

To calculate the potential energy (PE) of the water tank, you can use the formula for gravitational potential energy:

PE=mgh

where:

  • m is the mass of the object (in kilograms),
  • g is the acceleration due to gravity (approximately 9.81,m/s2),
  • h is the height above ground (in meters).

Given:

  • m=38,000,kg
  • g=9.81,m/s2
  • h=58,m

Now plug in the values:

PE=38,000,kg9.81,m/s258,m

Calculating it step-by-step:

  1. Calculate gh: 9.81,m/s258,m=569.98,m2/s2

  2. Now multiply by the mass m: PE=38,000,kg569.98,m2/s221,599,240,J

So the potential energy of the water tank is approximately 21,599,240,J, which can be rounded to 21,599,200,J.

The correct answer is:

21,599,200 J