Question

Arrange the objects in order from least to greatest potential energy. Assume that gravity is constant. (Use PE = m × g × h.) Tiles a 15-kilogram stone found at a height of 3 meters10 kilograms of water stored at a height of 9 metersa 1-kilogram ball located 20 meters in the aira box of books weighing 25 kilograms placed on a shelf 2 meters high

Answer 1

Answer : The order of potential energy from least to greatest is,

(3) < (1) < (4) < (2)

Explanation :

Formula used :

`P.E=m* g* h`

where,

P.E = potential energy

m = mass of an object

g = gravity constant =
`9.8m/s^2`

h = height

Now we have to calculate the potential energy of following options.

(1) Tiles a 15-kilogram stone found at a height of 3 meters.

`P.E=15Kg* 9.8m/s^2* 3m=441J`

(2) 10 kilograms of water stored at a height of 9 meters.

`P.E=10Kg* 9.8m/s^2* 9m=882J`

(3) 1-kilogram ball located 20 meters.

`P.E=1Kg* 9.8m/s^2* 20m=196J`

(4) In the area box of books weighing 25 kilograms placed on a shelf 2 meters high.

`P.E=25Kg* 9.8m/s^2* 2m=490J`

From this we conclude that, the order of potential energy from least to greatest is,

(3) < (1) < (4) < (2)

Answer 2

The objects in order from least to greatest potential energy:

`Ball < Stone < book < Water`

Step-by-step explanation:

Potential energy is an energy of the body due to its position.

`P.E=mgh`

m = mas of the body

g = Acceleration due to gravity

h = Height at which body is placed

Potential energy of the stone:

m = 15 kg, h = 3 m , g =
`9.8 m/s^2`

`P.E_1=15 kg* 9.8 m/s^2* 3 m=441 J`

Potential energy of the water:

m = 10 kg, h = 9 m , g =
`9.8 m/s^2`

`P.E_2=10 kg* 9.8 m/s^2* 9 m=882 J`

Potential energy of the ball :

m = 1 kg, h = 20 m , g =
`9.8 m/s^2`

`P.E_3=1 kg* 9.8 m/s^2* 20 m=196 J`

Potential energy of the book :

m = 25 kg, h = 2 m , g =
`9.8 m/s^2`

`P.E_4=25 kg* 9.8 m/s^2* 2 m=490 J`

The potential energies in order from least to greatest :

`P.E_3<P.E_1<P.E_4<P.E_2`

The objects in order from least to greatest potential energy:

`Ball < Stone < book < Water`