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large apple has a mass of about 0.2kg. While the biggest gravitational force act

ID: 1964547 • Letter: L

Question

large apple has a mass of about 0.2kg. While the biggest gravitational force acting on it is Earth's, the moon also pulls on the apple. Find the gravitational forces of the earth on the apple and the moon on the apple. The distance between the earths center and the apple is 6.4 x 10(by 6)m. The distance between the moons center and the apple is 3.84 x10(8)m. The mass of the earth is roughly 6.0x10(24)kg and the mass of the moon is 7.36x10(22)kg.    

Please give formual and easy step by step instructions.

Explanation / Answer

g0 (earth) = M*G/r^2

=6.0x10(24)*6.67*(-11)/( 6.4 * 10^6)2

=0.391 m/s^2

   Fearth= 0.2*g0

=1.954 N

g0 (moon) =7.36*10^22* 6.67 *10^-11/(3.84*10^8)2

=3.48*10^(-5) m/s^2

   F moon = 0.2*g0

= 0.7 *10^(-5) N