Question

On a .75-meter table sits a book whose mass is .5 kilograms. How

much Potential energy does it have?

Answer 1

`\boxed {\boxed {\sf 3.675 \ Joules}}`

Step-by-step explanation:

Gravitational potential energy can be found using the following formula.

`E_p=m*g*h`

Where m is the mass, g is the gravitational acceleration, and h is the height.

The mass of the book is 0.5 kilograms. The acceleration due to gravity on Earth is 9.8 m/s². The height of the book is 0.75 meters.

`m= 0.5 \ kg \\g= 9.8 \ m/s^2 \\h= 0.75 \ m`

Substitute the values into the formula.

`E_p=(0.5 \ kg)(9.8 \ m/s^2)(0.75 \ m)`

Multiply.

`E_p=(4.9 \ kg*m/s^2)(0.75 \ m)`

• 1 kg*m/s²= 1 Newton

`E_p=(4.9 \ N)(0.75 \ m)`

`E_p=3.675 \ N*m`

• 1 N*m= 1 Joule

`E_p=3.675 \ J`

The book has 3.675 Joules of gravitational potential energy.

Answer 2

P.E = 3.675 J

Step-by-step explanation:

Given data:

Height of table = 0.75 m

Mass of book = 0.5 kg

Potential energy = ?

Solution:

Formula:

P.E = mgh

g =acceleration due to gravity = 9.8 m/s²

by putting values,

P.E = 0.5 kg× 9.8 m/s² ×0.75 m

P.E = 3.675 kgm²/s²

J = kgm²/s²

P.E = 3.675 J