Really stuck on a Gravitation Question

In summary, the minimum energy required to raise a 1.7e3 kg vehicle from the surface of the moon to a height of 5.22e6 m is 3.6e^9 J. This can be calculated using the equation Ep= -G(m1m2)/r, where Ep(initial) is the initial potential energy and Ep(final) is the final potential energy. It is important to carefully consider signs when performing calculations.
  • #1
grantP
19
0

Homework Statement



What minimum energy is required to raise a 1.7e3 kg vehicle from the surface of the moon to a height of 5.22e6 m?

Homework Equations



Ep= -G(m1m2)/r

The Attempt at a Solution



Ep(initial)= -6.67e^-11(1.7e^3 x 7.35e^22)/1.74e^6 = -4789750000

Ep(final)= -6.67^-11(1.7e3 x 7.35e^22)/6.96e^6= -1197437500

I have tried subtracting the final by the initial, but I am not getting the correct answer of 3.6e^9 J.
 
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  • #2
Hi grantP,

grantP said:

Homework Statement



What minimum energy is required to raise a 1.7e3 kg vehicle from the surface of the moon to a height of 5.22e6 m?

Homework Equations



Ep= -G(m1m2)/r

The Attempt at a Solution



Ep(initial)= -6.67e^-11(1.7e^3 x 7.35e^22)/1.74e^6 = -4789750000

Ep(final)= -6.67^-11(1.7e3 x 7.35e^22)/6.96e^6= -1197437500

I have tried subtracting the final by the initial, but I am not getting the correct answer of 3.6e^9 J.

What are you getting? It looks to me like if you do Ep(final) - Ep(initial) you do get 3.6 x 109J.
 
  • #3
oh...hmmmm i must have mixed up my signs...and doing 4 straight hours of physics homework probably didnt help...looking back at it 4 hours later I was probabaly so delerious haha.

Well anyways thanks for the help on my threads.
 
  • #4
Right, I understand completely about how too much work can make you start seeing things. Glad to help!
 

FAQ: Really stuck on a Gravitation Question

How does gravity work?

Gravity is a fundamental force of nature that causes objects with mass to be attracted to each other. The strength of gravity depends on the masses of the objects and the distance between them.

What is the difference between mass and weight?

Mass is a measure of the amount of matter an object contains, while weight is the measure of the force of gravity acting on an object. Mass remains constant regardless of location, but weight can vary depending on the strength of the gravitational pull.

How do I calculate the force of gravity?

The force of gravity can be calculated using the formula F = G(m1m2)/r^2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.

How does distance affect the force of gravity?

The force of gravity follows an inverse square law, which means that as the distance between two objects increases, the force of gravity decreases. This means that the farther apart two objects are, the weaker the gravitational force between them.

What is the role of gravity in the universe?

Gravity plays a crucial role in the formation and behavior of celestial bodies such as planets, stars, and galaxies. It also governs the motion of objects in our solar system and is responsible for keeping our planet in orbit around the sun.

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