Calculating Graviational Field

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In summary, the task is to calculate the gravitational field at a distance of 20 km from a 1015 kg mass, using the basic gravitational equation. The mean value of gravity at the Earth's surface is given as 9.8 m/s2, which is equivalent to 980 Gal. The conversion factors for different units of gravity are also provided. However, the attempt at a solution is incorrect as the value of G in the formula should be the universal gravitational constant, not 9.8 m/s2. Additionally, the units used in the calculation need to be coherent.
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Homework Statement



Calculate the gravitational field associated with a 1015 kg mass, at a distance 20 km (r) from the center of that mass. Express your answer in both ‘Gravity Units’ and “Gals”. Assume that the radius of the mass is much less than 30 km, and that the mass can therefore be treated as a point source.


Homework Equations



The mean value of gravity at the earth’s surface is about 9.80 m/s2.
Basic gravitational equation:
g = GM/R2
G - gravitational constant M - mass of the Earth R - radius of Earth

9.8 m/s2 = 980 Gal
1 mGal = 0.001 Gal
1 μGal = 0.001mGal = 10-6 Gal
1 gu (gravity unit) = 0.1 mGal = 10-4 Gal


The Attempt at a Solution


I'm a graduate student with a degree in criminal justice... We couldn't come up with any coherent answers.

[(9.8m/s^2)*(10^15kg)]/20km^2

4.9*10^8kg m/s2
 
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The G in the formula is not 9.8 m/s^2. Look up universal gravitational constant.
And you need your units to be coherent.
 

What is gravitational field?

Gravitational field is a concept in physics that describes the influence of a massive object on the space around it, causing other objects to be attracted towards it.

How is gravitational field calculated?

Gravitational field is calculated using Newton's Law of Universal Gravitation, which states that the force of gravity between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them.

What units are used to measure gravitational field?

Gravitational field is measured in units of Newtons per kilogram (N/kg) in the metric system, or in units of pounds per pound (lb/lb) in the imperial system.

What is the difference between gravitational field and gravitational force?

Gravitational field and gravitational force are related concepts but are not the same. Gravitational force is the actual force of attraction between two objects, while gravitational field is a measure of the strength of that force at a given point in space.

How does distance affect gravitational field?

Gravitational field decreases as distance from a massive object increases. This means that the strength of the gravitational force between two objects decreases as they move farther apart.

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