4. Two identical masses are suspended by strings wrapped around identical frictionless pulleys, except that a heavy metal ring has been added to one of the pulleys. The masses are released from rest and allowed to fall to the ground. How does the final kinetic energy of the falling mass compare between the two systems? Clearly explain your line of reasoning using physics concepts and equations.
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- 1. Jogger A has a mass m and a speed v, jogger B has a mass m/2 and a speed 3v, jogger C has a mass 3m and a speed v/2, and jogger D has a mass 4m and a speed v/2. Rank the joggers in order of increasing kinetic energy. Indicates ties where appropriate. Explain and draws.6: On Neil deGrasse Tyson's reboot of Cosmos, he stands at the edge of an auditorium stage holding a bowling ball suspended by a steel cable. He releases the ball from rest while standing motionless and watches it return to the point depicted below. Why is he in no danger? A) Neil has a hard nose so he won't get hurt. B) The total mechanical energy in the system is fixed when he releases the ball. The bowling ball stops at the point in question because it would require extra energy for the ball to hit his nose. C) Gravity and tension point in opposite directions, so the bowling ball keeps moving at constant velocity. With no net force, Neil is in no danger. D) Neil is using “The Force" to control the movement of the bowling ball with his mind. 7 & 8: Three cars (car F, car G, and car H) are moving with the same velocity when each driver suddenly slams on the brakes, locking the wheels. The most massive car is car F, the least massive is car H, and all three cars have identical tires.3. Kris stands on the edge of a merry-go-round, which spins without friction. She walks towards the center of the platform. As Kris moves toward the center, what happens to the kinetic energy of the system? Explain.
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- Superman can throw a ball (mass 145 g) 1000 m/s. Suppose Supermanthrows a ball straight up into the air at 1000 m/s. i. What is the initial kinetic energy of the ball? ii. How high would the ball go if the force ofgravity is constant F = −mg? (use conservation of energy and neglect air resistance). iii. How high would the ball go if you use F = − (GMEm/ r2) ? ME = 5.97 × 1024 kg, and assume the ball is thrown from rE = 6.37 × 106 m2.) A 1000 kg boat is towed in the water by a cable in a straight line. The Tension in the cable is 3,000N. The coefficient of friction between the boat and the water is µ = 0.2. It starts from rest and reaches a final speed of 5m/s after some unknown distance. Angles must be shown in your work calculations. a.) What is the final kinetic energy of the boat? b.) Using the Work-Kinetic Energy Theorem, find the unknown distance.1. The sledder shown in figure starts from the top of a frictionless hill (Point A) with an initial speed of 30 m/s and slides down into the valley. What is the final speed at the top of the next hill (Point B)? 30 m/s A 100 m 130 m O 30 m/s We cannot solve this problem without knowing the mass of the sledder. O 17.7 m/s O 12.5 m/s O 23.8 m/s