Fermat's principle states that a ray of light in a medium with a variable index of refraction will follow the path which requires the shortest traveling time. For a two-dimensional case, show that such a path is obtained by minimizing the integral Ví+y² dx, where n(x, y) is the index of refraction.

Question d,e, f, i

Which of the vectors is the result of 2A - B? A. B. C. D. E. O B O C O A O D

A cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0°, and Force 2 is 13.0 N at 110°. Initially, the cart has a velocity of (3.50 i +2.20 j) m/s. EERIN d. What is the acceleration of the cart? Ans. å = (2.05 i + 3.87 j) e. What is the cart's velocity after 5.00 s? or 4.38- Ans. 3 = (13.75 i + 21.55 j)" or 25.56 m m

1. A circular loop has radius R and carries current Iz in a clockwise direction. The center of the loop is a distance D above an infinitely long, straight wire carrying a current I1. (c) ) If I = l2 = I and the direction of I, is to the left, what is the magnitude of the total magnetic field at the center of the loop?

please send handwritten solution for Q4

Q4 Please provide justified answer asap

D, E, F

Q1=+20 Q2=-40 B 30 40 Q3 = +20 P.

A mass of 95 kg is on a scale in an elevator. The scale reads 830 N for the first 3s after the elevator starts moving. Then it reads 931N for the next 3 seconds. What is the elevator's velocity 6s after starting?