Gravitation with conversions help

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In summary, the question asks for the height above planet B's surface where the gravitational field intensity is 0.6 times its value on the surface. This can be calculated using the equation g=Gm/r^2, where G is the gravitational constant, m is the mass of planet B, and r is the radius of planet B. The given values for the radius and mass of planet B are 6.40 x 10^3 km and 5.97 x 10^24 kg, respectively. The solution involves converting units and comparing values, and a mistake may have been made in plugging in the new values. More information and calculations are needed to determine where the error occurred.
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lmm5arual
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Homework Statement


"At what height above planet B's surface (in meters) does the gravitational field intensity become 0.6 times its value on the surface of planet B, given that the radius of planet B is 6.40 x 10^3 km and that its mass is 5.97 x 10^24 kg?


Homework Equations


g=Gm/r^2


The Attempt at a Solution


My work is very scrambled with trying to convert and compare the values and I think my mistake could be in plugging in the new values.
 
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  • #2
hi lmm5arual! :smile:

(try using the X2 button just above the Reply box :wink:)

show us your full calculations, and then we'll see where you went wrong! :smile:
 

Related to Gravitation with conversions help

1. How does gravity affect objects?

Gravity is a force that pulls objects towards each other. The strength of the force depends on the mass of the objects and the distance between them. The larger the mass and the closer the distance, the stronger the gravitational force.

2. What is the formula for calculating the force of gravity?

The formula for calculating the force of gravity is F = G * (m1 * m2)/d^2, where F is the force of gravity, G is the gravitational constant (6.67 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the objects, and d is the distance between them.

3. How can I convert units when using the gravitational formula?

To convert units when using the gravitational formula, you can use unit conversion factors. For example, to convert kilograms (kg) to grams (g), you can multiply the number of kilograms by 1000. Make sure to also convert the units of the gravitational constant if necessary.

4. How does distance affect the force of gravity?

The force of gravity is inversely proportional to the square of the distance between two objects. This means that as the distance between two objects increases, the force of gravity decreases. For example, if the distance between two objects is doubled, the force of gravity will decrease by a factor of four.

5. How does the mass of an object affect the force of gravity?

The force of gravity is directly proportional to the masses of two objects. This means that as the mass of one or both objects increases, the force of gravity also increases. For example, if the mass of one object is doubled, the force of gravity will also double.

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