Earth Mass Math

The earth s mass is 5 9736 x 10 24 kg.

Earth mass math. R v and in the case of an elliptic orbit the semi major axis a are defined accordingly hence r is the distance μ gm1 gm2 μ1 μ2 where m1 and m2 are the masses of the two bodies. 3 959 miles 6 371 km diameter. The recommended value in 1976 was 5 9742 0 0036 10 24 kg. How d you go from mass to required energy without determining the specific heat of the earth.

In most common instances mass is determined by weighing the object and using the force of gravity to calculate the value automatically. For circular orbits rv2 r3ω2 4π 2r3 t2 μ. Calculating the mass of the earth 1. Here let me calculate the energy required to heat just the iron content of the earth 34 6 by mass by 1 c.

You could also say the earth s mass is 5 9 sextillion tonnes. That s a big number so let s write it out in full. According to some calculations the earth is losing 50 000 metric tons of mass every single year even though an extra 40 000 metric tons of space dust converge onto the earth s gravity well it s still losing weight. Determining the mass and density of the earth.

Earth mass m e or m where is the standard astronomical symbol for planet earth is the unit of mass equal to that of earth. F gmm r 2 ma where f is the gravitational force g is the gravitational constant m is the mass of the earth r is the radius of the earth and m is the mass of another object near the surface of the earth. It is equivalent to an average density of 5515. In other words in most real world situations mass is the same thing as weight.

5 972 x 10 24 kg. The vector r is the position of one body relative to the other. 7 918 miles 12 742 km surface area. The current best estimate for earth mass is m 5 9722 10 24 kg with a standard uncertainty of 6 10 20 kg relative uncertainty 10 4.

Gm r 2 a the m s canceled out now solve for m the mass of the earth. Knowing this value of g for earth s surface along with the constant g and the 6 731 kilometer distance to earth s center you can then calculate earth s mass to be 6 x 10 24 kilograms. 1 97 x10 8 square miles 5 1 x 10 8 km 2 mass. In the example of the feathers and the bricks the difference in mass can be described by the relative weight of the two pillowcases.