What is Gravity? Write down anything you may know about gravity. Any examples of gravity Where you may find it or not find it!
What is Gravity? Gravity is an attraction that acts between any two objects that have a mass. So why isn’t your notebook attracted to you now? 1. Gravity is only significant if, one or both of the objects are very massive (like a planet, star, or moon). Scientist’s know the acceleration of gravity is… = 9.8m/s 2
Let’s review… What’s matter? Anything that has a mass and takes up space So…What’s mass? How much matter is in an object. Then what’s Weight? How much gravity is pulling on an object.
An example of Gravity Every object applies a gravitational force to every other object. So why does an apple fall from a tree? The apple falls because it is more attracted (gravitational force) to the Earth than it is to the tree.
Differences Between Gravity and Friction 1. The force of gravity acts even when objects are not touching. 2. Friction must ALWAYS be touching! 3. The force of friction can never make an object speed up! 4. Friction always points in the opposite direction of motion, 5. But gravity sometimes points in the direction of motion.
Mass and Distance Mass and Distance affect Gravitational Force. The force of gravity depends on the masses of two objects and the distance between them. 2. The greater the mass of an object, the more gravity it has pulling on it and other objects.
More about Gravity 3. The further away the object is from the center of the Earth, the less gravity it will have pulling on it.
The Acceleration Due to Gravity: How does g change with altitude? Altitude (m) Distance From the Center of g due to the Earth's Gravity What has This Altitude? the Earth (m)(m/s 2 ) 063781009.799823Lying on the Earth 263781029.799817Height of a person 463781049.799811 On a small roof 13763782379.799402Highest point in Delaware 38163784819.798652Empire State Building 884863869489.772690Height of Mount Everest 1200063901009.763051Airplane 34000067181008.832994International Space Station 6378100127562002.449956Twice the Earth's Radius 3780249003844030000.002698The Moon Does the gravitational pull near the surface change much? No! The gravitational pull remains nearly constant! You would have to be hundred’s of miles away for gravity to really affect you!
Summarizing Gravity 1.Gravity is only significant if, one or both of the objects are very massive (like a planet, star, or moon). 2.As object get larger, the more gravity is pulling on them. 3.As objects get further away from each other, the less gravity is pulling on them.
More about Gravity Gravity is the reason why weight and mass are two different measurements!!! Mass is related to the amount of matter in an object. Weight = the force of gravity pulling on any object. (w=mg) So…which one would change if you were on the moon? Why? Weight, because the force of gravity pulling on an object on the moon is only 1/6 of that on the Earth!
*Gravity *Gravity Drop If I drop a golf ball and a plastic fuzzy ball at the same time, which one hits the table first? The both hit at the same time! BUT, what if I drop a volley ball and a bowling ball at the same time? Which one will hit the ground first? Let’s try it! So what happened?
Gravitational Force Formula My name is Sir Isaac Newton and I figured this out! d is the distance between the centers of the two objects. G is called the “gravitation constant” it equals (6.67x10 -11 N x m 2 /kg 2 )and makes the units right! Units for g = Newton’s (N)
The Acceleration Due to Gravity: So what is g for the moon, on the surface of the moon?
QUESTION???? Which has more gravitational force…the earth and you or you and your neighbor? Why? (Use the formula… F G = G x m 1 x m 2 d 2 You (60.4 kg) and your neighbor (70.5 kg) and d=1.5 m You (60.4 kg) and the earth (5.9742×10 24 kg) But what is your weight? They’re the same! … but how?!?!?! 1.26 x 10 -7 N 591 N
The Acceleration Due to Gravity: We can calculate it! At ground level: What’s this? 9.80 m/s 2 = g But we can calculate “g” anywhere, caused by any object with mass!
RFA 18 #4 D (6.673x10 -11 Nxm 2 /kg 2 ) (61kg) (63kg) (4m) U kg, m, N x m 2 /kg 2 F F G = G x m 1 x m 2 d 2 A F G= (6.673x10 -11 Nxm 2 /kg 2 ) (61kg) (63kg) (4m) 2 S F G = 1.60 x 10 -8 N
Gravity Practice Problems Use DUFAS Remember G=6.673x10 -11 Nxm 2 /kg 2 1) m 1 = 15 kg m 2 = 996 kg d = 596 m 3) m 1 = 600 kg m 2 = 72,684 kg d = 30 m 2) m 1 = 232 kg m 2 = 9,456 kg d = 56 m 4) m 1 = 7.35x10 22 kg m 2 = 5.97x10 25 kg d = 3.84x10 8 m
1. DUFA m 1 = 15 kg m 2 = 996 kg d = 596 m G=6.67x10 -11 N Kg, m N x m 2 /kg 2 S
2. DUFA m 1 = 232kg m 2 = 9,456 kg d = 56 m G=6.67x10 -11 N Kg, m N x m 2 /kg 2 S
3. DUFA m 1 = 600 kg m 2 = 72,684 kg d = 30 m G=6.67x10 -11 N Kg, m N x m 2 /kg 2 S
4. DUFA m 1 = 7.35 10 22 kg m 2 = 5.97 10 25 kg d = 3.84 10 8 m G=6.67x10 -11 N Kg, m N x m 2 /kg 2 S
Gravity Practice Problems G= 6.673x 10 -11 N x m 2 /kg 2 In DUFAS 1. What is the gravitational attraction between an object with a mass of 10 kg and another object with a mass of 20 kg if they are separated by 0.01 meters? F g = 0.0001334 N 2. What is the gravitational attraction between my 10 kg killer Poodle and his 2kg bone that is 20m away from him? F g = 3.335 x 10 -12 N
Gravity Practice 1. Explain why a tree’s leaf falls to the earth. 2. Who has more gravity pulling on them…a 350 lb offensive lineman or a 215 lb wide receiver on a football field? And why? 3. Why is there less gravity on the moon than here on Earth?
Gravity Answers 1. The leaf falls to the Earth b/c the Earth has a larger mass than the tree so it has a greater gravitational pull on the leaf. 2. The 350 lb lineman b/c he has more mass. More mass= more gravity pulling on that mass. 3. There is less gravity on the moon because you are very far from the center of the Earth so the gravitational pull is only 1/6 th of Earth.