Math/science- Please answer these questions with a few sentences of each. try to go into as much detail as possible.
1. If a man feels a force of gravity of 180 lb and his wife 23
feels a force of gravity of 90 lb, who is the more
massive? By how much?
2. The mass of the planet Mars is one-tenth the mass of
the earth, and Mars’ radius is one-half the radius of
the earth, approximately. How much would a 120-1b
woman (on earth) weigh on Mars? (Ans.: 48 lb)
3. The radius of the moon is about 1,000 miles, and a
man on the moon feels a force of gravity that is one-
sixth the force of gravity he feels on the earth’s
surface. The earth’s radius is about 4,000 miles.
About what fraction of the earth’s mass is the moon’s
mass? (Ans.: 96)
4. Suppose that women landed in a spaceship on the
planet Jupiter, which has a mass 300 times the earth’s
mass and a radius 10 times the earth’s radius. The
force of their rocket motors must balance the force of
the planet’s gravity. How much more force would the
women need to balance Jupiter’s gravitational force
at its surface than they need to balance the earth’s
gravitational force at the earth’s surface? (Ans.:
three times more)
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