The law of reflection by using the Fermat’s principle.

Question

Want to see the full answer?

Answer 1

Question

Chapter 35, Problem 35.85CP

To determine

The law of reflection by using the Fermat’s principle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

m C A block of mass m slides down a ramp of height hand collides with an identical block that is initially at rest. The two blocks stick together and travel around a loop of radius R without losing contact with the track. Point A is at the top of the loop, point B is at the end of a horizon- tal diameter, and point C is at the bottom of the loop, as shown in the figure above. Assume that friction between the track and blocks is negligible. (a) The dots below represent the two connected blocks at points A, B, and C. Draw free-body dia- grams showing and labeling the forces (not com ponents) exerted on the blocks at each position. Draw the relative lengths of all vectors to reflect the relative magnitude of the forces. Point A Point B Point C (b) For each of the following, derive an expression in terms of m, h, R, and fundamental constants. i. The speed of moving block at the bottom of the ramp, just before it contacts the stationary block ii. The speed of the two blocks immediately…

The velocity of an elevator is given by the graph shown. Assume the positive direction is upward. Velocity (m/s) 3.0 2.5 2.0 1.5 1.0 0.5 0 0 5.0 10 15 20 25 Time (s) (a) Briefly describe the motion of the elevator. Justify your description with reference to the graph. (b) Assume the elevator starts from an initial position of y = 0 at t=0. Deriving any numerical values you need from the graph: i. Write an equation for the position as a function of time for the elevator from t=0 to t = 3.0 seconds. ii. Write an equation for the position as a function of time for the elevator from t = 3.0 seconds to t = 19 seconds. (c) A student of weight mg gets on the elevator and rides the elevator during the time interval shown in the graph. Consider the force of con- tact, F, between the floor and the student. How Justify your answer with reference to the graph does F compare to mg at the following times? and your equations above. i. = 1.0 s ii. = 10.0 s

Students are asked to use circular motion to measure the coefficient of static friction between two materials. They have a round turntable with a surface made from one of the materials, for which they can vary the speed of rotation. They also have a small block of mass m made from the sec- ond material. A rough sketch of the apparatus is shown in the figure below. Additionally they have equipment normally found in a physics classroom. Axis m (a) Briefly describe a procedure that would allow you to use this apparatus to calculate the coefficient of static friction, u. (b) Based on your procedure, determine how to analyze the data collected to calculate the coefficient of friction. (c) One group of students collects the following data. r (m) fm (rev/s) 0.050 1.30 0.10 0.88 0.15 0.74 0.20 0.61 0.25 0.58 i. Use the empty spaces in the table as needed to calculate quantities that would allow you to use the slope of a line graph to calculate the coefficient of friction, providing labels with…