Question

On a .75-meter table sits a book whose mass is .5 kilograms. How
much Potential energy does it have?

Answer 1

Answer:

P.E = 3.675  J

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

Answer 2

Answer:

$\boxed {\boxed {\sf 3.675 \ Joules}}$

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.