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A box with a mass of 14.8 kg sits on the floor. How high would you have to lift box to for it to have a gravitational potential energy of 355 J?

Answer 1

#2.45m#

#E = mgh#

where #E# is the gravitational potential energy, #m# is the mass of the box, #g# is the gravitational field strength (#9.81# on earth) and #h# is the height.

The question asks us about height, so

#h = E/(mg) = 355/(14.8 xx 9.81) = 2.45m#

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Answer 2

William Audy

To calculate the height you would need to lift the box for it to have a gravitational potential energy of 355 J, you can use the formula for gravitational potential energy:

Gravitational Potential Energy = Mass × Gravity × Height

Given that the mass of the box is 14.8 kg and the gravitational potential energy is 355 J, and assuming the acceleration due to gravity is approximately (9.8 , \text{m/s}^2), we can rearrange the formula to solve for height:

Height = Gravitational Potential Energy / (Mass × Gravity)

Height = 355 J / (14.8 kg × 9.8 m/s²)

Height ≈ 2.42 meters

Therefore, you would need to lift the box to a height of approximately 2.42 meters for it to have a gravitational potential energy of 355 J.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.