Free - Response 1. An 88.2-kilogram block rests on an inclined plane. A string that passes over a pulley connects this block to another block whose 0. 195 m mass is 88.2 kg. The pulley has a mass of 5.24 kg and a radius of O-... 0.195 m. The coefficient of kinetic friction between the block and 5.24 kg the plane is 0.325. 88.2 kg (a) Draw and label a free-body diagram of all the forces acting on 88.2 kg each block. 35 (b) Find the acceleration of the blocks. 2. A 5.75-ke steel ball has an initial velocity of 6.34/30 meters per second. The ball collides with and imbeds itself in a 3.85-kg block of clay traveling at 2.50/140 meters per second. 1409 (a) Calculate the initial momentum of each object and write the re- sult in rectangular form. 30 (b) Calculate the momentum of the combined mass after collision and write the result in polar form. (c) Calculate the final velocity after collision and write the result in polar form. 3. Part of a light ray striking an interface between air and water is refracted, and part is reflected, as shown. The index of refraction of air is 1.00 and the index of refraction of water is 1.33. The frequency of the light ray is 7.85 x 1016 Hz. (a) If 0 , measures 40. find the value of 02. Air Water (b) If 0] measures 40, find the value of 03. 103 (c) Calculate the speed of the light ray in the water. 011 (d) Calculate the wavelength of the light ray in the water. (e) What is the largest value of 0, that will result in a refracted ray? 4. Four resistors are arranged in a circuit, as shown. There is a constant voltage 1' across the voltage source. The current / is 0.25 Ry= 160 ampere. (a) Find the equivalent resistance of the four resistors. (b) Find the voltage Iacross the voltage source. V = R2 = 60 0S 3 Big = 40 (c) Find the voltage across resistor R2. (d) Find the power dissipated by resistor R2. R4 = 120 5. Two long parallel wires 0.552 meter apart are each carrying 1.75 amperes of current. as shown. (a) Find the magnitude and direction of the magnetic field at point 4 due to the current in the top wire. (b) Find the magnitude and direction of the force per unit length this field exerts on the bottom wire