V>~ . 1. An experiment is conducted in which Block A with a mass ot'mr1 is slid to the right across a frictionless table. Block A. col- lides with Block B, which is initially at rest, ofan unknown mass and sticks to it. (a) Describe an experimental procedure that determines the velocities of the blocks before and after a collision. Include all the additional equipment you need. You may include a labeled diagram of your setup to help in your description. Indicate what measurements you would take and hour you would take them. Include enough detail so that the experiment could be repeated with the procedure you provide. (b) If Block A has a mass of kg and starts off with a speed of LS 1111's and the experiment is repeated. the velocity of the blocks after they collide are recorded to be 0.25 rnfs. What is the mass of Block B"? {c} How much kinetic energy was lost in this collision from part (b)? 570 1 2. A conical pendulum is hanging from a string that is 2.2 meters long. It makes a horizontal circle. The mass of the ball at the end of the string is 0.5 kg. (a) Below, make a free-body diagram for the ball at the point shown in the above illustration. Label each force with an appropriate letter. (b) Write out Newton's Second Law in both the x- and y-direction in terms used in your free-body diagram. (c) Calculate the centripetal acceleration from your free-body diagram. (d) What is the radius of the circle that the ball is traveling in? (e) What is the speed of the ball?F 410 370 42 3. Three particles are fixed in place in a horizontal plane, as shown in the figure above. Particle 1 has a charge that has a magni- tude of 4.0 * 10* C and the sign of the charge is unknown. Particle 2 has a charge that has a magnitude of 1.7 x 10* C and the sign of the charge is unknown. Particle 3 has a charge of +1.0 x 10* C. The distance between q, and q, is 5.0 m, the distance between q, and q; is 3.0 m, and the distance between q, and q, is 4.0 m. The electrostatic force F on particle 3 due to the other two charges is shown in the negative x-direction. (a) Determine the signs of the charges of q, and q2- (b) On the diagram below, draw and label the force F, of the force exerted by Particle 1 on Particle 3 and the force F, of the force exerted by Particle 2 on Particle 3. (c) Calculate the magnitude of the electrostatic force on Particle 3. (d) Draw and label clearly where another positively charged particle could be placed so the net electrostatic force on Particle 3 is zero.h Lo Compressed Released Spring at Spring on Table Maximum Height 4. An experiment is designed to calculate the spring constant & of a vertical spring for a jumping toy. The toy is compressed a distance of x from its natural length of Z . as shown on the left in the diagram, and then released. When the toy is released. the top of the toy reaches a height of h in comparison to its previous height and the spring reaches its maximum extension. The experiment is repeated multiple times and replaced with different masses m attached to the spring. The spring itself has negligible mass. (a) Derive an expression for the height h in terms of m, x, k, and any other constants provided in the formula sheet. (b) To standardize the experiment, the compressed distance x is set to 0.020 m. The following table shows the data for different values of m. m (kg) h (m) 0.020 0.49 0.030 0.34 0.040 0.28 0.050 0.19 0.060 0.18 (1) What quantities should be graphed so that the slope of a best-fit straight line through the data points can help us calculate the spring constant k? (ii) Fill in the blank column in the table above with calculated values. Also include a header with units.(c) On the axes below, plot the data and draw the best-fit straight line. Label the axes and indicate scale. (d) Using your best-fit line, calculate the numerical value of the spring constant. (e) Describe an experimental procedure that determines the height / in the experiment, given that the toy is only momentarily at that maximum height. You may include a labeled diagram of your setup to help in your description.0.020 m 5. In the above diagram, two small objects, each with a charge of -4.0 nC, are held together by a 0.020 m length of insulating string. The objects are initially at rest on a horizontal, non-conducting, frictionless surface. The effects of gravity on each other can be considered negligible. (a) Calculate the tension in the string. (b) Illustrate the electric field by drawing electric field lines for the two objects on the following diagram. The masses of the objects are m, = 0.030 kg and m, = 0.060 kg. The string is now cut. (c) Calculate the magnitude of the initial acceleration of each object. (d) On the axes below, sketch a graph of the acceleration a of the object of mass m, versus the distance d between the objects after the string has been cut. (e) In a brief paragraph, describe the speed of the objects as time increases, assuming that the objects remain on the horizontal, non-conducting frictionless surface