Problem Set # 12- Problems 7, 20, 30, 36, 47
7.
At new moon, the Earth, Moon, and Sun are in a line. Find the direction and magnitude
of the net
gravitational force exerted on
(a)
the Earth,
(b)
the Moon, and
(c)
the Sun.
To find the direction and magnitude of the net gravitational force of sun, moon, and earth.
It would follow as:
(6.67x 10^-11N*m/kg2) (5.97x10^24kg) ((2x10^30kg/((1.50x10^11m)2) +
(7.35x 10^22kg) ((3.84x 10^8m) ^2)
________
= 3.56 x 10^22 N
(direction towards sun)
________
(6.67 x 10^-11N*m/kg2) (7.35 x 10^22kg) ((2 x 10^30kg/ ((1.50 x 10^11m)2)-3.84 x 10^8kg)
-(5.97 x 10^24kg)/ (3.84 x 10^8m) ^2) ________
=2.40 x 10^20 N
(direction towards sun)
________
(6.67x10^-11N*m/kg2)(2x10^30kg)((7.35x10^22kg/((1.50x10^11m)^2-
3.84x10^8m)^2+(5.97 x 10^24kg)((1.50 x 10^11m)^2) ________
= 3.58 x 10^22 N
(direction towards earth, moon)
