A 55 kg woman is ice-skating toward the east on a frictionless frozen lake when
ID: 1658637 • Letter: A
Question
A 55 kg woman is ice-skating toward the east on a frictionless frozen lake when she collides with a 70 kg man who is ice-skating toward the west. The maximum force exerted on the woman by the man during the collision is 210 N, west. Take east to be the positive direction of the x axis. (a) What is the maximum force on the man from the woman, including direction? (b) What is the maximum acceleration of the woman, including direction? (c) What is the maximum acceleration of the man, including direction?
Explanation / Answer
(a) from Newton's third law,
action reaction forces are same in magnitude and opposite in direction.
F_max = 210 N east
(B) a = F_max / m = 210/55
= 3.82 m/s^2 west
(c) a = 210 / 70 = 3 m/s^2 east
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