1. A student ties two rocks together with a lightweight 48.0 cm string. She takes a second string of length 30.0 cm and ties it to one of the rocks. She then swings the rocks around in a horizontal circle with that second, inner string. The inner rock has a mass of 84.0 g and the outer rock has a mass of 60.0 g. Her friend times the motion with a stopwatch as the rocks move together at a constant speed. They complete 10 revolutions in 13.8 s. Find the tension force exerted by each string as the rocks are moving at a constant speed. Top view 48.0 cm 30.0 cm mi m2

A 3.05kg object hangs, at rest, on a 1.96m long string attached to the ceiling. A 120g object is fired with a speed of 8m/s at the 3.05kg object, and the two objects collide and stick together in a totally inelastic collision. Hint 1 Hint 2 A. Determine the maximum angle that the two objects swing after the collision. Express the angle in radians. 1.51 0 max x = 1.51 radians B. Write an equation for the angle of the string, as a function of time, t, and one or more numeric values. Assume that the collision occurs at t=0s. 0= 1.51 sin (2.34t) X

A hula hoop is released from rest at the top of a playground slide. In going down the slide, the center of mass of the hula hoop moves down 3.82 meters. a. If the slide were frictionless and the hula hoop did not roll, how fast would the hula hoop be going at the bottom of the slide? Include units in your answer.  b. In reality, the hula hoop rolls. How fast is the hula hoop (the center of mass of the hula hoop) going at the bottom of the slide? Include units in your answer.   PLEASE RESPOND IN HANDWRITING

1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed vo, a person of mass M rides the inside wall of the cylinder without slipping down (there is no floor). The distance of the center of mass of the person from the axis of the cylinder is R. a. Draw the free body diagram of forces acting on the person during the ride. Show your choice for the +x and +y directions. b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the equations to zero or Mv²/R or –Mv²/R. X: y: c. What is the normal force? d. What is the magnitude and direction of the friction force that the wall exerts on the rider? e. What is the magnitude and direction of the friction force the rider exerts on the wall? f. The coefficient of static friction between the wall and the rider is µg. What is the minimum speed that the rider can move without slipping down the wall?