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 :

$P.E=m\times g\times h$

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.

$P.E=15Kg\times 9.8m/s^2\times 3m=441J$

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

$P.E=10Kg\times 9.8m/s^2\times 9m=882J$

(3) 1-kilogram ball located 20 meters.

$P.E=1Kg\times 9.8m/s^2\times 20m=196J$

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

$P.E=25Kg\times 9.8m/s^2\times 2m=490J$

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

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

Answer 2

Answer:

The objects in order from least to greatest potential energy:

$Ball < Stone < book < Water$

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 = $9.8 m/s^2$

$P.E_1=15 kg\times 9.8 m/s^2\times 3 m=441 J$

Potential energy of the water:

m =  10 kg, h = 9 m , g = $9.8 m/s^2$

$P.E_2=10 kg\times 9.8 m/s^2\times 9 m=882 J$

Potential energy of the ball :

m =  1 kg, h = 20 m , g = $9.8 m/s^2$

$P.E_3=1 kg\times 9.8 m/s^2\times 20 m=196 J$

Potential energy of the book :

m =  25 kg, h = 2 m , g = $9.8 m/s^2$

$P.E_4=25 kg\times 9.8 m/s^2\times 2 m=490 J$

The potential energies in order from least to greatest :

$P.E_3$

The objects in order from least to greatest potential energy:

$Ball < Stone < book < Water$