Question

1a. This time, the pendulum is 2.31 m long and has a mass of 3.12 kg. You give it a push away from vertical so that it starts swinging with a speed of 2.02 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?

b. You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 92.7 kg, and the mass of the sled when empty is 17.7 kg. From shore, someone throws a baseball of mass 0.181 kg to you, and you catch it; the horizontal component of the ball s velocity is 29.6 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball?

c. This time, your mass is 82.3 kg and the sled s mass is 10.6 kg. You re on the sled, initially moving to the west at 7.76 cm/s. From the southern shore, your friend throws a baseball of mass 0.157 kg, which you catch as it s traveling northward with a horizontal velocity component of 21.1 m/s. What will be the sled s (and your) speed after catching the ball?

d. A block of mass 1.92 kg is placed on a frictionless floor and initially pushed northward, whereupon it begins sliding with a constant speed of 5.98 m/s. It eventually collides with a second, stationary block, of mass 3.60 kg, head-on, and rebounds back to the south. The collision is 100% elastic. What will be the speeds of the 1.92-kg and 3.60-kg blocks, respectively, after this collision?

Answer 1