Question

A crane raises a crate with a mass of 150 kg to a height of 20 m. Given that

the acceleration due to gravity is 9.8 m/s2, what is the crate's potential energy
at this point?

Answer 1

29,400 J

Step-by-step explanation:

did the quiz <3

Answer 2

`\boxed {\boxed {\sf 29,400 \ Joules}}`

Step-by-step explanation:

Gravitational potential energy is the energy an object possesses due to its position. It is the product of mass, height, and acceleration due to gravity.

`E_P= m * g * h`

The object has a mass of 150 kilograms and is raised to a height of 20 meters. Since this is on Earth, the acceleration due to gravity is 9.8 meters per square second.

• m= 150 kg
• g= 9.8 m/s²
• h= 20 m

Substitute the values into the formula.

`E_p= 150 \ kg * 9.8 \ m/s^2 * 20 \ m`

Multiply the three numbers and their units together.

`E_p=1470 \ kg*m/s^2 * 20 m`

`E_p=29400 \ kg*m^2/s^2`

Convert the units.

1 kilogram meter square per second squared (1 kg *m²/s²) is equal to 1 Joule (J). Our answer of 29,400 kg*m²/s² is equal to 29,400 Joules.

`E_p= 29,400 \ J`

The crate has 29,400 Joules of potential energy.