A 550 kg piano is on the third floor of an apartment building.(a) Find the gravitational potential energy of this piano, relative to that of the second floor, 3.8 meters below it. J(b) Find the gravitational potential energy of the piano relative to the sidewalk outside the building, 7.6 meters below the piano. JHomeMy AssignmentsRequest Extension
Question
A 550 kg piano is on the third floor of an apartment building.(a) Find the gravitational potential energy of this piano, relative to that of the second floor, 3.8 meters below it. J(b) Find the gravitational potential energy of the piano relative to the sidewalk outside the building, 7.6 meters below the piano. JHomeMy AssignmentsRequest Extension
Solution
(a) The gravitational potential energy (PE) of an object can be calculated using the formula:
PE = mgh
where: m = mass of the object = 550 kg g = acceleration due to gravity = 9.8 m/s² h = height above the reference point = 3.8 m
Substituting these values into the formula, we get:
PE = 550 kg * 9.8 m/s² * 3.8 m = 20434 J
So, the gravitational potential energy of the piano relative to the second floor is 20434 Joules.
(b) To find the gravitational potential energy of the piano relative to the sidewalk, we use the same formula but with a different height (h = 7.6 m):
PE = 550 kg * 9.8 m/s² * 7.6 m = 40968 J
So, the gravitational potential energy of the piano relative to the sidewalk is 40968 Joules.
Similar Questions
A piano of mass 852 kg is lifted to a height of 3.5 m. How much gravitational potential energy is added to the piano? Acceleration due to gravity is g = 9.8 m/s2.A.102,282 JB.29,224 JC.304.3 JD.2982 JSUBMITarrow_backPREVIOUS
Upon arriving in Physics class, Jeremy lifts a 1.70-kg book from the floor to his 0.86-meter high desktop. What is the potential energy of the book relative to the floor?
1. In the absence of gravity. Calculate the potential energy of the ball dropped in a 15 floorhigh building which is 128m from the ground with the mass of 5kgs.2. A box has a mass of 58kg. The box is lifted from the garage floor and placed on a shelf.If the box gains 145J of Potential Energy , how high is the shelf?3. A 180g apple is lifted to a height of 1.5 m. How much potential energy does the applehave?
If a laptop of mass 1.4 kg is lifted to a table of height 0.8 m, how much gravitational potential energy is added to the laptop?A.11.0 JB.19.5 JC.1.1 JD.8.8 J
A 1.53-kg ball hangs at the end of a string 1.64 meters in length from the ceiling of a room. The height of the room is 3.77 meters. What is the gravitational potential energy of the ball relative to the floor?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.