Mass of earth to use in calculation?

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SUMMARY

The mass of the Earth is 5.9742 × 1024 kilograms, which is essential for calculating the gravitational force between two objects. To find the gravitational force (F) exerted between two masses, M1 and M2, use the formula F = GM1M2/R2, where G is the gravitational constant. In this case, M1 is 48.5 kg, M2 is the Earth's mass, and the distance (R) between the objects is 11712.137 meters. Inputting the Earth's mass into a calculator requires using the 'Exp' function to correctly represent the scientific notation.

PREREQUISITES
  • Understanding of gravitational force calculations
  • Familiarity with scientific notation
  • Knowledge of the gravitational constant (G)
  • Basic calculator operations, including the 'Exp' function
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  • Research the gravitational constant (G) value and its significance
  • Learn about the implications of gravitational force in physics
  • Explore advanced gravitational calculations involving multiple bodies
  • Study scientific notation and its applications in physics
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Students in physics, educators teaching gravitational concepts, and anyone interested in understanding the calculations involving Earth's mass and gravitational force.

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If the mass of the Earth = 5.9742 × 1024 kilograms
how do you use this in a calculation?

When trying to solve for gravitational force exerted between two objects, you need a M1 & M2. If the M2 is the mass of earth, how do you solve it?

M1 = 48.5 kg
M2 = 5.9742 × 1024 kg
distance between objects (r) = 11712.137

I have the numbers, but don't know what to do with the "earth mass".
 
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plug into the formula:

F=GM(1)M(2)/R^2

simple as that.
 
for Earth's mass: 5.9742 × 10^24

you need to type into your calculator 5.9742 Exp 24

i.e type 5.9742
then the button marked 'Exp'
then enter 24

You should then see the number displayed on the calculator screen something like this 5.9742__24
 

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