1. You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 89.8 kg, and the mass of the sled when empty is 15.4 kg. From shore, someone throws a baseball of mass 0.161 kg to you, and you catch it; the horizontal component of the ball s velocity is 35.6 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball? 2. This time, your mass is 75.1 kg and the sled s mass is 12.8 kg. You re on the sled, initially moving to the west at 7.97 cm/s. From the southern shore, your friend throws a baseball of mass 0.116 kg, which you catch as it s traveling northward with a horizontal velocity component of 34.6 m/s. What will be the sled s (and your) speed after catching the ball? 3. Your mass is 76.4 kg, and the sled s mass is 21.2 kg. You start at rest, and then you jump off the sled, after which the empty sled is traveling at a speed of 5.09 m/s. What will be your speed on the ice after jumping off? 4. Your mass is 63.1 kg, and the sled s mass is 18.0 kg. The sled is moving by itself on the ice at 3.79 m/s. You parachute vertically down onto the sled, and land gently. What is the sled s velocity with you now on it? 5. Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 1057 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).
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1. You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 89.8 kg, and the mass of the sled when empty is 15.4 kg. From shore, someone throws a baseball of mass 0.161 kg to you, and you catch it; the horizontal component of the ball s velocity is 35.6 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball?
2. This time, your mass is 75.1 kg and the sled s mass is 12.8 kg. You re on the sled, initially moving to the west at 7.97 cm/s. From the southern shore, your friend throws a baseball of mass 0.116 kg, which you catch as it s traveling northward with a horizontal velocity component of 34.6 m/s. What will be the sled s (and your) speed after catching the ball?
3. Your mass is 76.4 kg, and the sled s mass is 21.2 kg. You start at rest, and then you jump off the sled, after which the empty sled is traveling at a speed of 5.09 m/s. What will be your speed on the ice after jumping off?
4. Your mass is 63.1 kg, and the sled s mass is 18.0 kg. The sled is moving by itself on the ice at 3.79 m/s. You parachute vertically down onto the sled, and land gently. What is the sled s velocity with you now on it?
5. Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 1057 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).
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