from Lim Yung Kuo:
for improving our english, so the problem will be in english
N identical balls lie equally spaced in a semicircle on a frictionless horizontal
table, as shown. The total mass of these balls is M. Another ball of mass m
approaches the semicircle from the left, with the proper initial conditions so
that it bounces (elastically) off all N balls and finally leaves the semicircle,
heading directly to the left.
(a) In the
(so the mass of each ball in the semicircle, 
goes to zero), find the minimum value of 
that allows the incoming ball to come out heading directly to the left.
(b) In the minimum case found in part (a), show that the ratio of m’s final speed to initial speed equals 
for improving our english, so the problem will be in english
N identical balls lie equally spaced in a semicircle on a frictionless horizontal
table, as shown. The total mass of these balls is M. Another ball of mass m
approaches the semicircle from the left, with the proper initial conditions so
that it bounces (elastically) off all N balls and finally leaves the semicircle,
heading directly to the left.
(a) In the
(b) In the minimum
there're also many cool problems ^^
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