Asterix and Obelix are standing on skateboards on level ground 2 m apart. Obelix holds a ball of mass 1 kg. The mass of Asterix and his skateboard is 29 kg; that of Obelix and his board is 70 kg. Initially, everything is at rest; then Obelix throws the ball horizontally with an initial speed of 7 m/s toward Asterix, who will catch it and throw it back. We will ignore friction in the wheels and air resistance. a) Add a coordinate system to the figure and calculate the center of mass when everything is at rest.

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Asterix and Obelix are standing on skateboards on level
ground 2 m apart. Obelix holds a ball of mass 1 kg. The
mass of Asterix and his skateboard is 29 kg; that of Obelix
and his board is 70 kg. Initially, everything is at rest; then
Obelix throws the ball horizontally with an initial speed of
7 m/s toward Asterix, who will catch it and throw it back.
We will ignore friction in the wheels and air resistance.
a) Add a coordinate system to the figure and calculate the center of mass when everything is at rest.
b) Which quantity is conserved throughout the problem and why?
c) In which direction will Obelix move after throwing the ball?
[1] to the right [2] to the left
d) In which direction will Asterix move after catching the ball?
[1] to the right [2] to the left
e) In which direction will the center of mass move?
[1] to the right [2] to the left [3] not at all
f) Determine the velocity of Obelix after he has launched the ball. Please draw appropriate sketches.
Transcribed Image Text:Asterix and Obelix are standing on skateboards on level ground 2 m apart. Obelix holds a ball of mass 1 kg. The mass of Asterix and his skateboard is 29 kg; that of Obelix and his board is 70 kg. Initially, everything is at rest; then Obelix throws the ball horizontally with an initial speed of 7 m/s toward Asterix, who will catch it and throw it back. We will ignore friction in the wheels and air resistance. a) Add a coordinate system to the figure and calculate the center of mass when everything is at rest. b) Which quantity is conserved throughout the problem and why? c) In which direction will Obelix move after throwing the ball? [1] to the right [2] to the left d) In which direction will Asterix move after catching the ball? [1] to the right [2] to the left e) In which direction will the center of mass move? [1] to the right [2] to the left [3] not at all f) Determine the velocity of Obelix after he has launched the ball. Please draw appropriate sketches.
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