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8. An object was lifted to a height of 1234 cm. The object gained a gravitational potential energy of 4321 J. What was the mass of the object in grams?

9. An apple has a mass of 150g, when the apple is at a height of 1.9 m on an unknown planet, the apply has a GPE of 190 J, what is the value of gravity on the unknown planet?


10. A banana has a mass of 183g, when the apple is at a height of 2.8 m on an unknown planet, theapply has a GPE of 250 J. what is the value of gravity on the unknown planet?

1 Answer

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Question 8. The mass of the object is approximately 36.091 grams.

Explanation for question 8. The formula for gravitational potential energy is given by:

GPE = mgh

where GPE is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height to which the object was lifted.

We can rearrange the formula to solve for m:

m = GPE / (gh)

Plugging in the values given, we have:

m = 4321 J / (9.8 m/s^2 * 1234 cm)

Converting the height to meters and expressing the mass in grams, we get:

m = 4321 J / (9.8 m/s^2 * 12.34 m) = 4321 J / 119.852 m^2/s^2 = 36.091 grams

Therefore, the mass of the object is approximately 36.091 grams.

Question 9. The value of gravity on the unknown planet is approximately 15.16 m/s^2.

Explanation for question 9. The gravitational potential energy of an object is given by the equation:

GPE = mass * gravity * height

Rearranging this equation to solve for gravity, we get:

gravity = GPE / (mass * height)

Plugging in the values you provided, we get:

gravity = 190 J / (150 g * 1.9 m)

Converting the mass to kilograms (150 g = 0.15 kg) and performing the calculation, we find that the value of gravity on the unknown planet is approximately 15.16 m/s^2.

Question 10. The value of gravity on the unknown planet is approximately 10.3 m/s^2.


Explanation for question 10. In order to find the value of gravity on the unknown planet, you need to use the formula for gravitational potential energy (GPE), which is:

GPE = mass * gravity * height

You can rearrange this formula to solve for gravity:

gravity = GPE / (mass * height)

Plugging in the values you provided, you get:

gravity = 250 J / (183 g * 2.8 m)

Solving this equation, you find that the value of gravity on the unknown planet is approximately 10.3 m/s^2.



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