A man holding a rock sits on a sled that is sliding across a frozen lake (negligible friction) with a speed of 0.550 m/s. The total mass of the sled, man, and rock is 93.5 kg. The mass of the rock is 0.340 kg and the man can throw it with a speed of 15.5 m/s. Both speeds are relative to the ground. Determine the speed of the sled (in m/s) if the man throws the rock forward (1.e., in the direction the sled is moving). .464 X Try to write a statement of conservation of momentum and then solve for the speed of the sled-man combination. Pay careful attention to the sign associated with the speed of the thrown rock. m/s Determine the speed of the sled (in m/s) if the man throws the rock directly backward. 633 X Try to write a statement of conservation of momentum and then solve for the speed of the sled-man combination. Pay careful attention to the sign associated with the speed of the thrown rock. m/s Supporting MaterialsAs shown in the figure below, object m, - 1.55 kg starts at an initial height h , = 0.275 m and speed v., = 4.00 m/s, swings downward and strikes (in an elastic collision) object m, = 4.40 kg which is initially at rest. 100 m/s mz (a) Determine the speed of m, (in m/s) just before the collision. m/s (b) Determine the velocity (magnitude in m/s and direction) of each ball just after the collision (Assume the positive direction is toward the right. Indicate the direction with the sign of your answer.) m 1 m/s m2 m/s (c) Determine the height (in m) to which each ball swings after the collision (ignoring air resistance), m 1 m m 2 m