(a) A unique ball with a spring inside is used to demonstrate center of mass motion. The 0.20-kg ball is launched at a 45° angle from level ground. At some point in its trajectory, the spring “explodes” and two halves of the ball fly apart horizontally. If the ball didn’t explode, it would have landed at a distance of18m from where it was launched. However, one half of the ball (piece A) landed at a distance of17.5m from the launching point and the other half (piece B) landed at a distance of20m.
Do the two halves land at the same time?
Yes, they will land at the same time; in fact they will land at the same time whether or not they are projected horizontally or not.No, they will never land at the same time because one gets projected forward and the other gets projected backward. Yes, they land at the same time because they were projected horizontally during the explosion; if one was projected upward and one was projected downward, for instance, they would not land at the same time.No, they will not land at the same time because the two pieces have different masses.
(b) What is the ratio of the masses of the two halves of the ball, mA/mB?
(c) Which half lands at the 17.5 m mark?
piece Apiece B