Applying Fermat’s principle of stationary path show that a sag equation for a parabolic mirror is...
Applying Fermat’s principle of stationary path show that a sag equation for a parabolic mirror is y2 = 2Rz, where various symbols have their usual meaning.
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Applying Fermat’s principle of stationary path show that a sag equation for a parabolic mirror is...
This airplane is flying along a parabolic path defined by the equation shown, where x and...
This airplane is flying along a parabolic path defined by the equation shown, where x and y are both in feet. During this portion of the flight, the speed is being held constant at 350 feet/second. Find the acceleration of the plane at point A (where x -0). Be sure to specify both the magnitude and the direction. . y (0.0001x2500) ft
10. (15 points includes bonus) For the mirror shown below, f=8 cm and s = 20...
10. (15 points includes bonus) For the mirror shown below, f=8 cm and s = 20 cm a CALCULATE the image distance, b. Draw three principle rays and show where the image occurs. c. (Bonus) What is the KEY idea to INTERFERENCE? (Hint: the answer is PATH DIFFERENCE. Have a good rest of the summer). We were unable to transcribe this image
4. a. A buzzing fly moves in a helical path given by the equation Show that...
4. a. A buzzing fly moves in a helical path given by the equation Show that the magnitude of the acceleration of the fly is constant, provided b, ø, and c are constant. b. Repeat the above question using cylindrical coordinates where r-b, ф-at, and zct2.
2. (a) Discuss the experimental evidence for the existence of nuclear shells. (4 marks) (b) Show ...
2. (a) Discuss the experimental evidence for the existence of nuclear shells. (4 marks) (b) Show that the emergy spliting of nuclear shellsby spin orbit coupling is given by 〈 . s),=11%-u . sh-1-1/2 = 2 (21 + 1)2 j 1+1/2 where the symbols have their usual meaning. 4 marks) e) i the degenengy c seil mohe posible values of the total and orbital angular momentum quantum numbers (j and l) respectively. If the shell has even parity identify the...
6.24Consider a medium in which the refractive index n is inversely proportional tor2: that is, n ...
6.24Consider a medium in which the refractive index n is inversely proportional tor2: that is, n a/r2, where r is the distance from the origin. Use Fermat's principle, that the integral (6.3) is stationary, to find the path of a ray of light travelling in a plane containing the origin. [Hint: Use two- dimensional polar coordinates and write the path as φ = φ(r). The Fermat integral should have the form .ff(ф, ф'.r) dr, where f(d, ф. r) is actually...
(a) Show that, if y satisfies the Euler-Lagrange equation associated with the integral 2. qy2) dx,...
(a) Show that, if y satisfies the Euler-Lagrange equation associated with the integral 2. qy2) dx, I = (6) where p() and q(x) are known functions, then I has the value 12 (b) Show that, if y satisfies the Euler-Lagrange equation associated with (6) and if z(x) is an arbitrary differentiable function for which z(x)z(r2) = 0, (7) 1 then (yyz)da= 0. + Hence show that by replacing y in (6) by the function (y + z), where the condition...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
can someone help me with this activity 3. Spoons! Objective: Measure the radius of curvature of...
can someone help me with this activity
3. Spoons! Objective: Measure the radius of curvature of your flatware. Materials needed: • Stainless steel (or other shiny metal) spoon • Ruler Procedure: First, have some fun. Look at your reflection in the spoon, on the concave side and on the convex, from various distances. OK, ready to get serious now? Hold the spoon at arm's length, with the concave side towards you, and slowly bring it to your face. Note what...
Can't use math lab show workings Differential Equation The following ordinary differential equation is to be...
Can't use math lab show workings
Differential Equation The following ordinary differential equation is to be solved using nu- merical methods. d + Bar = Ate - where A, 0,8 > 0 and x = x at t = 0. dt It is to be solved from t = 0 to t = 50.0. It has analytical solution r(t) = A te-al + A le-ale"), where A A B-a and A2 А (8 - a)2 Questions Answer the questions given...
Motion can be derived from the slope of the graph? 8 . Wild equation Show how...
Motion can be derived from the slope of the graph? 8 . Wild equation Show how position vs time and velocity vs time graphs are connected. Include the following information in your summary: • What are the 5 variables you need for accelerated motion problems? How do you determine the equation you will need to use to solve the problem? What are the accelerated motion kinematics equations? What do +/- mean for kinematics? What combinations of (+/-) velocity and acceleration...
This airplane is flying along a parabolic path defined by the equation shown, where x and y are both in feet. During this portion of the flight, the speed is being held constant at 350 feet/second. Find the acceleration of the plane at point A (where x -0). Be sure to specify both the magnitude and the direction. . y (0.0001x2500) ft
10. (15 points includes bonus) For the mirror shown below, f=8 cm and s = 20 cm a CALCULATE the image distance, b. Draw three principle rays and show where the image occurs. c. (Bonus) What is the KEY idea to INTERFERENCE? (Hint: the answer is PATH DIFFERENCE. Have a good rest of the summer). We were unable to transcribe this image
4. a. A buzzing fly moves in a helical path given by the equation Show that the magnitude of the acceleration of the fly is constant, provided b, ø, and c are constant. b. Repeat the above question using cylindrical coordinates where r-b, ф-at, and zct2.
2. (a) Discuss the experimental evidence for the existence of nuclear shells. (4 marks) (b) Show that the emergy spliting of nuclear shellsby spin orbit coupling is given by 〈 . s),=11%-u . sh-1-1/2 = 2 (21 + 1)2 j 1+1/2 where the symbols have their usual meaning. 4 marks) e) i the degenengy c seil mohe posible values of the total and orbital angular momentum quantum numbers (j and l) respectively. If the shell has even parity identify the...
6.24Consider a medium in which the refractive index n is inversely proportional tor2: that is, n a/r2, where r is the distance from the origin. Use Fermat's principle, that the integral (6.3) is stationary, to find the path of a ray of light travelling in a plane containing the origin. [Hint: Use two- dimensional polar coordinates and write the path as φ = φ(r). The Fermat integral should have the form .ff(ф, ф'.r) dr, where f(d, ф. r) is actually...
(a) Show that, if y satisfies the Euler-Lagrange equation associated with the integral 2. qy2) dx, I = (6) where p() and q(x) are known functions, then I has the value 12 (b) Show that, if y satisfies the Euler-Lagrange equation associated with (6) and if z(x) is an arbitrary differentiable function for which z(x)z(r2) = 0, (7) 1 then (yyz)da= 0. + Hence show that by replacing y in (6) by the function (y + z), where the condition...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
can someone help me with this activity
3. Spoons! Objective: Measure the radius of curvature of your flatware. Materials needed: • Stainless steel (or other shiny metal) spoon • Ruler Procedure: First, have some fun. Look at your reflection in the spoon, on the concave side and on the convex, from various distances. OK, ready to get serious now? Hold the spoon at arm's length, with the concave side towards you, and slowly bring it to your face. Note what...
Can't use math lab show workings
Differential Equation The following ordinary differential equation is to be solved using nu- merical methods. d + Bar = Ate - where A, 0,8 > 0 and x = x at t = 0. dt It is to be solved from t = 0 to t = 50.0. It has analytical solution r(t) = A te-al + A le-ale"), where A A B-a and A2 А (8 - a)2 Questions Answer the questions given...
Motion can be derived from the slope of the graph? 8 . Wild equation Show how position vs time and velocity vs time graphs are connected. Include the following information in your summary: • What are the 5 variables you need for accelerated motion problems? How do you determine the equation you will need to use to solve the problem? What are the accelerated motion kinematics equations? What do +/- mean for kinematics? What combinations of (+/-) velocity and acceleration...
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