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Transcript
Check for understanding
Fg = Gm1m2
d2
What is the gravitational force acting on the 3200kg space shuttle orbiting
Earth at a distance of 325km? +
+
Two protons are separated by a distance of 1 X 10­10m. Find the gravitational attraction between the two particles.
Universal Gravitation
d2 or r2 is fine
Mass of Earth in Ref Table
Radius of Earth in Ref Table
CHECK THEM NOW!
HW P. 90 QQ 4.2
P. 91 Q 4.3 & Ex 4.3
P. 109­110 MC #5 & 14
P. 122 Q 5.1 & EX 5.1
Quick Quiz 4.2 Which has a greater value, a newton of gold won on the Earth or a newton of gold won on the Moon? B ­on the Moon
P. 91 Q4.3 & Ex 4.3
Q 4.3: Mars is 1.5X as far from the sun as the Earth. What if Fsun on a 70kg man standing on Mars? Fsun = 0.2N for man on Mars
Ex 4.3: Find the force exerted by the Moon on a 70kg man standing on Earth. Fmoon = 0.002N for man on Earth
P. 109 & 110 MC #5 B & #14 B
P.122 Q5.1 & Ex 5.1
Q 5.1: How does the work change if the load is doubled?
Assuming dounble load produces doubled frictional force, BUT Ff is VERY small, doubling load probably will not change effort force or distance, thus keeping work approx the same as before.
Ex 5.1: Suppose the sled is pushed instead on level terrain with a force of 50N.
a.) Force exerted at an angle of 0o to the horizontal, distance =? to do 400J of work 8m
b.) Force exerted at 45o angle to the horizontal, how much work for the same amount of distance? 283m using Fx as the force
P. 91 Q4.3 & Ex 4.3
Q 4.3: Mars is 1.5X as far from the sun as the Earth. What if Fsun on a 70kg man standing on Mars?
Ex 4.3: Find the force exerted by the Moon on a 70kg man standing on Earth.
A satellite that weighs 2000N on the surface of the Earth just before launched into orbit. Determine the satellite’s weight at exactly 6.37 X 106 meters above the Earth’s surface (assuming no loss of mass) ?
m1 = 10 kg and m2 = 20 kg are separated by 2 meters. Calculate the force of gravitational attraction between the two masses.
A 10.0 kg mass weighs 16.2 N on the surface of the moon. If the radius of the moon is 1737km, find the mass of the moon. Calculate the force of gravity between you and the person sitting next to you in class, assuming you both have masses of 60 kg and are sitting 1.2 m apart.
Two tennis balls have a mass of 0.25 kg each and they are placed so that there is a distance of 42 cm between their centers. What is the gravitational force between the two tennis balls?
Use the universal gravitation formula to find the weight of a 10 kg object on the surface of the earth. At what altitude above the earth’s surface would the acceleration due to gravity be 4.9 m/s2?
A 14.2 kg object weighs 6.55 N at a certain point above the earth’s surface.
(a) What is the acceleration due to gravity at that point?
(b) How far is the object from the earth’s surface?
(c) What is the weight of the block on the earth’s surface?
An object has a mass of 10.2kg. Find the weight of the object (force due to gravity) on the surface of the Earth, at one Earth radius above the surface, two Earth radii, and 3 Earth radii.
A certain hypothetical planet has a radius of 500 km and a surface gravitational acceleration of 3 m/s2. (a) What is the mass of the planet? (b) What is the gravitational acceleration 100 km above the surface of the planet?
How far from the surface of the earth must a satellite be in order to have a weight of only 1/3 of its weight at the earth’s surface?
What is the weight of a 14 kg object when it is 300,000 m above the surface of Mars?
Masses of 200 g and 800 g are 12 cm apart. Find the gravitational pull per unit mass at a point on the line joining the masses 4 cm from the 800 g mass.
How far from earth must a body be along a line toward the sun so that the sun’s gravitational pull balances the earth’s?
An 800 kg mass and a 600 kg mass are separated by 0.25 m. What is the net gravitational force due to these masses on a 1 kg mass located midway between them?