3. INSTRUCTIONS: - Show the 'free body diagrams' completely. - Show all equations obtained from the free body diagrams, and how equations are derived from the FBD. - Show all solutions completely. A system of two paint buckets connected by a lightweight rope is released from rest with the 12.0 kg bucket 2.00 m above the floor. Use the principle of conservation of energy to find the speed with which this bucket strikes the floor. Ignore friction and the mass of the pulley. Hint: Total mech energy is the mech, energy of both buckets, (K +U) of bucket 1 + K+U of bucket 2. y (north) 24.0° 12.0 kg T 2.00 m 4.0 kg At the intersection of Texas Avenue and University Drive, a yellow subcompact car with mass 950 kg traveling east on university collides with a red pickup truck with mass 1900 kg that is traveling north on Texas and has run a red light (Fig. E8.41). The two vehicles stick together as a result of the collision, and the wreckage slides at 16.0 m/s in the direction 24.0° east of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm; ignore friction forces between the vehicles and the wet road. Hint: Momentum is conserved both in x and y components, independent of each other. Solve for the components separately and get magnitude and direction. 0.200 m/s 16.0 m/s x (east) • A 10.0-g marble slides to the left at a speed of 0.400 m/s on the frictionless, horizontal surface of an icy New York sidewalk and has a 30.0 head-on, elastic collision with a larger 30.0-g marble sliding to the right at a speed of 0.200 m/s. (a) Find the velocity of each marble (magnitude and direction) after the collision. (Since the collision is head-on, all motion is along a line.) (b) Calculate the change in momentum (the momentum after the collision minus the momentum before the collision) for each marble. Compare your values for each marble. (c) Calculate the change in kinetic energy (the kinetic energy after the collision minus the kinetic energy before the collision) for each marble. Compare your values for each marble. 0.400 m/s 10.0g

3. INSTRUCTIONS: - Show the 'free body diagrams' completely. - Show all equations obtained from the free body diagrams, and how equations are derived from the FBD. - Show all solutions completely. A system of two paint buckets connected by a lightweight rope is released from rest with the 12.0 kg bucket 2.00 m above the floor. Use the principle of conservation of energy to find the speed with which this bucket strikes the floor. Ignore friction and the mass of the pulley. Hint: Total mech energy is the mech, energy of both buckets, (K +U) of bucket 1 + K+U of bucket 2. y (north) 24.0° 12.0 kg T 2.00 m 4.0 kg At the intersection of Texas Avenue and University Drive, a yellow subcompact car with mass 950 kg traveling east on university collides with a red pickup truck with mass 1900 kg that is traveling north on Texas and has run a red light (Fig. E8.41). The two vehicles stick together as a result of the collision, and the wreckage slides at 16.0 m/s in the direction 24.0° east of north. Calculate the speed of each vehicle before the collision. The collision occurs during a heavy rainstorm; ignore friction forces between the vehicles and the wet road. Hint: Momentum is conserved both in x and y components, independent of each other. Solve for the components separately and get magnitude and direction. 0.200 m/s 16.0 m/s x (east) • A 10.0-g marble slides to the left at a speed of 0.400 m/s on the frictionless, horizontal surface of an icy New York sidewalk and has a 30.0 head-on, elastic collision with a larger 30.0-g marble sliding to the right at a speed of 0.200 m/s. (a) Find the velocity of each marble (magnitude and direction) after the collision. (Since the collision is head-on, all motion is along a line.) (b) Calculate the change in momentum (the momentum after the collision minus the momentum before the collision) for each marble. Compare your values for each marble. (c) Calculate the change in kinetic energy (the kinetic energy after the collision minus the kinetic energy before the collision) for each marble. Compare your values for each marble. 0.400 m/s 10.0g