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A 1.85 kg textbook is sitting on a bookshelf 2.23 m above the floor. How much potential energy does it have?

Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 40.4299 \ Joules}}[/tex]

Explanation:

Potential energy is energy due to position. It is the product of mass, height, and acceleration due to gravity.

[tex]PE= m \times g \times h[/tex]

The mass of the textbook is 1.85 kilograms. Assuming this is on Earth, the acceleration due to gravity is 9.8 meters per square second. The height is 2.23 meters.

  • m= 1.85 kg
  • g= 9.8 m/s²
  • h= 2.23 m

Substitute the values into the formula.

[tex]PE = 1.85 \ kg \times 9.8 \ m/s^2 \times 2.23 \ m[/tex]

Multiply the first 2 numbers together.

[tex]PE=18.13 \ kg*m/s^2 *2.23 \ m[/tex]

Multiply again.

[tex]PE= 40.4299 \ kg*m^2/s^2[/tex]

  • 1 kilogram square meter per square second (1 kg*m²/s²) is equal to 1 Joules (J)
  • Our answer of 40.4299 kg*m²/s² is equal to 40.4299 J

[tex]PE= 40.4299 \ J[/tex]

The textbook has 40.4299 Joules of potential energy.