A discussion as to why a satellite does not slow down due to gravity was undertaken, with a bowling ball traveling down a well waxed alley used to demonstrate the explanation. The answer was then extrapolated as to why a satellite, higher than 150 km, will not slow down, but continue to travel perpendicular to gravity and parallel to the surface. The period of an orbit was discussed and that the velocity will slow down the longer the period lasted. I demonstrated this with a weighted object on the end of a string whose length was adjusted as the weight orbited my hand.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
A little review was needed before the classwork could start on this subject.
Reviewing the acceleration due to gravity and the formula for determining the distance a projectile would fall in a given time led to a demonstration of the path taken by a projectile when released at varying velocities. The amount of curve of the Earth was given as 5Km every 8000 meters, and the velocity needed to produce a circular orbiting projectile was found to be 8km/s. At that speed, the satellite would fall toward the Earth's curvature and not hit the planet. A thought problem was presented as to why a satellite must be at least 150 km above the surface in order to remain in orbit. A discussion of the make-up of the atmosphere, of air resistance and the production of heat due to air friction was arrived at, and the answer to the problem determined to be related to the satellite needing to orbit above the atmosphere of the Earth so as to not become "burnt bacon".
Assignment
A second thought question
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
nothing special, a standard lesson with involvement by Abby
I worked with Marcel as he used various kinematic formulas to calculate masses, forces, and deceleration. He also used the formulas to compute other variables. I gave him an assignment due after the Thanksgiving break.
Assignment
See lesson outline.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Marcel is learning to connect kinematic formulas to the effects of forces on masses.
Homework problems were reviewed and corrected. The concept of a gravitational field was presented and demonstrated using magnets and iron fillings. The presence of a gravitation field, no matter how great the distance between objects was stressed. The use of the formula to determine the gravitational force between objects was used to solve problems. The theory of "weightlessness" was examined, and determined that it involved not weightlessness but a lack of a support force. The acceleration due to gravity was shown to be zero at the Earth's center
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Usual back and forth interaction with Abby. The HW questions did require a little more work than expected.
Review problems with friction, kinematics, net forces
Lesson Outline
I worked with Marcel on a few problems involving friction, kinematic equations, and solving equations with net forces to find acceleration and distance traveled. Marcel continued to discover the relationships between forces of gravity, friction, and the normal force. There was no assignment.
Assignment
See lesson outline.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Marcel is anxious to prove his competence in solving some of the complex problems.
The definition of the force of gravity, along with the effects of mass and distance on the force. It was shown that the force of gravity is directly proportional to the product of the masses and inversely proportional to the the square of the distance. The lesson outline for this class will be found on the outline for Tuesday, 11/19/2019 . Assignment is questions from the end of the chapter,.
Session Minutes
60
Minutes Student Attended
30
Lesson Comments
Abby was late this morning, her hand was bandaged from yesterday.
I led Marcel through a few more problems involving friction, force applied at an angle, Newton's Second Law, and normal forces. Marcel increased his contribution to the problem solving process and was able to successfully solve a difficult and complex problem among others. I assigned a multi-part problem for homework.
Assignment
See lesson outline.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Marcel has gained confidence in solving complex problems involving many steps.
State the law of universal gravitation. Determine that it is directly proportional to the product of the masses and inversely proportional to the square of the distance. The force decreases as the square of the distance from the centers. Convert it to an equation by including the gravitational constant G, which is 6.67 x 10-11 n.m2/kg2. Determine the mass of the earth using the universal gravitational formula.
I began reviewing forces and motion with Marcel by solving problems from specific topics. We did problems involving free-body diagrams, net forces in one dimension, components of forces at angles, the force of friction and motion, and objects sliding down inclines. There was no assignment.
Assignment
See lesson outline.
Session Minutes
120
Minutes Student Attended
120
Lesson Comments
Marcel is struggling with the complexity of physics problems. He may be having second thoughts about majoring in academic subjects.
The fact that gravity is present as a universal force was presented with some simple examples. Newton's observations were presented starting with the concept of inertia, motion in a straight line with constant velocity when no external force acts on the moving object.This led to a review of acceleration being a change in velocity or direction, which requires a force to act on the object. A force is responsible for acceleration. The "falling apple" story regarding Newton and the motion of the moon, led Newton to state that both are accelerating, requiring a force. Newton stated that the apple was acceleration toward the Earth and that the Moon was also falling toward the Earth. Both are being pulled by gravity. Examples were used to define tangential velocity and its role in causing the moon, or any other body, to circle indefinitely.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Abby was attentive and responded to questions quickly