The figure below shows two wires carrying currents of I= 5.45 A in opposite directions, separated by a distance d. Assume d = 10.4 cm. 2d (a) Find the magnitude (in µT) and direction of the net magnetic field at a point halfway between the wires. magnitude direction 108.5 X What is the magnitude of the magnetic field of a long, straight wire? From the right-hand rule, what is direction of the field? Find the vector magnetic field due to each wire at the point of interest, then add the two as vectors to find the net field. µT into the page (b) Find the magnitude (in μT) and direction of the net magnetic field at point P₁, 10.4 cm to the right of the wire on the right. μT magnitude direction out of the page (c) Find the magnitude (in µT) and direction of the net magnetic field at point P₂, 2d = 20.8 cm to the left of the wire on the left. μT magnitude direction out of the page

Vo = 20m/s 4ou 250m Find X

15.13

Please use neat handwriting and show work A light ray traveling in air hits the surface of an unknown liquid ina beaker as shown in the picture. When the angle 0 is 55° the ray hits at a point where x = 2 cm. Calculate the index of refraction of the liquid.

13. A railroad car of mass 2.50 X 104 kg is moving with a speed of 4.00 m/s. It collides and couples with three other coupled railroad cars, each of the same mass as the single car and mov- ing in the same direction with an initial speed of 2.00 m/s. (a) What is the speed of the four cars after the collision? (b) What is the decrease in mechanical energy in the collision?