A simple pendulum is suspended from the ceiling by means of a string of length 1.32 m. Assume that there is no friction or air resistance. Suppose you were to release the pendulum from rest, starting from an angle of 57.2 degrees with respect to the vertical, as shown. What will be the speed of the pendulum at the instant it swings through its lowest point (that is, when it s momentarily hanging vertically)? 3.75 m/s 5.09 m/s 1.73 m/S 3.45 m/s QU ESTIO N 2 5 points Save Answer OK, once again we have a pendulum, this time of length 1.37 m, which you release from rest at an angle of 34.0 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 10.2 degrees above the vertical? 2.14 m/s " 0.65 m/s 3.42 m/S 2.04 m/S QU ESTIO N 3 5 points Save Answer This, the length of the pendulum is 2.12 m. Now you start with the pendulum at 16.9 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 56.2 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it? 6.02 m/s 4.08 m/s 4.30 m/s 1.34 m/s QU ESTIO N 4 5 points Save Answer This time the pendulum is 1.80 m long. Suppose you start with the pendulum hanging vertically, at rest. You then give it a push so that it starts swinging with a speed of 2.05 m/s. What maximum angle 0n degrees) will it reach, with respect to the vertical, before falling back down? 33.9 degrees 28.2 degrees 16.9 degrees '\\ Q0 1: darn-nae Save All Answers Save and Submit Q U ESTION 5 5 Points Save Answer This time, the pendulum is 1.48 m long and has a mass of 4.45 kg. You give it a push away from vertical so that it starts swinging with a speed of 1.29 m/s. Due to friction at the pivot point, 1.00 Joule of the pendulum s initial kinetic energy is lost as heat during the upward swing. What maximum angle will it reach, with respect to the vertical, before falling back down? 16.6 degrees 19.5 degrees 19.9 degrees 19.7 degrees 0 U ESTION 6 5 points Save Answer You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 74.9 kg, and the mass of the sled when empty is 23.3 kg. From shore, someone throws a baseball of mass 0.119 kg to you, and you catch it; the horizontal component of the ball 3 velocity is 25.0 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball? 3.97 cm/s 12.7 cm/s 1.82 cm/s 3.03 cm/s Q U ESTION 7 5 Points Save Answer This time, your mass is 77.4 kg and the sled s mass is 24.9 kg. You re on the sled, initially moving to the west at 7.33 cm/s. From the southern shore, your friend throws a baseball of mass 0.180 kg, which you catch as it s traveling northward with a horizontal velocity component of 27.7 m/s. What will be the sled s (and your) speed after catching the ball? 6.43 cm/s 19.9 cm/s 3.52 cm/s 8.79 cm/s Q U ESTION 8 5 points Save Answer Your mass is 84.6 kg, and the sled s mass is 12.4 kg. You start at rest, and then you jump off the sled, after which the empty sled is traveling at a speed of 5.97 m/s. What will be your speed on the ice after iumping off? 1.23 m/s Save All Answers Save and Submit Q U E ST I O N 3 5 points Save Answer Your mass is 84.6 kg, and the sled s mass is 12.4 kg. You start at rest, and then you jump off the sled, after which the empty sled is traveling at a speed of 5.97 m/s. What will be your speed on the ice after iumping off? 1.23 m/s \" 1.06 m/s " 0.88 m/s \" 0.35 m/s 0U EST I O N 9 5 points Save Answer Your mass is 71.2 kg, and the sled 5 mass is 12.5 kg. The sled is moving by itself on the ice at 3.47 m/s. You parachute vertically down onto the sled, and land gently. What is the sled s velocity with you now on it? 0.62 m/s " 0.57 m/s 0.52 m/s '\\ 0.42 m/s QU ESTION 1 0 5 points Save Answer Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 1295 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s"2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.831 rpm \" 0.087 rpm \" 112.7 rpm " 0.582 rpm Save All Answers Save and Submit