Newton\'s law of universal gravitation tells us that the force exerted by one pa

Question

Newton's law of universal gravitation tells us that the force exerted by one panicle on another is where the universal gravitational constant G is found experimentally to be The mass of each particle is m1 and m2, respectively, and r is the distance between the two particles. Use Newton's law of universal plantation to find the force exerted by the earth on the moon, assuming that the mass of the earth is approximately 6 times 1024 kg, the mass of the moon is approximately 7.4 times 1022kg, and the earth and the moon are an average of 39 times 108 m apart. We know that the earth and the moon are not always the same distance apart. Based on the equation in the previous problem, find the force the moon exerts on the earth for 10 distances between 3.8 times 108 m and 4.0 times 108 m. Be careful when you do the division to use the correct operator.

Explanation / Answer

>> me = 6*10^24; >> mm = 7.4*10^22; >> r = 3.9*10^8; >> G = 6.673*10^-11; >> F = (G * me * mm)/(r * r) >> r = 3.8*10^8 : 2*10^6 : 4.0*10^8 >> F = (G * me * mm)/(r[:] * r[:]); >> F

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