Ice Skating Collision: Solving a Physics Problem

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SUMMARY

The physics problem involves a collision between a 49 kg woman and a 97 kg man on a frictionless ice surface. The maximum force exerted on the woman by the man is 160 N directed west. According to Newton's third law of motion, the force exerted by the woman on the man is equal in magnitude and opposite in direction, thus also 160 N directed east. The maximum acceleration of the woman can be calculated using F=ma, resulting in an acceleration of approximately 3.27 m/s² east, while the man's maximum acceleration is approximately 1.65 m/s² west.

PREREQUISITES
  • Understanding of Newton's laws of motion, particularly the third law
  • Knowledge of basic physics concepts such as force and acceleration
  • Ability to apply the equation F=ma in collision scenarios
  • Familiarity with vector direction in physics problems
NEXT STEPS
  • Review Newton's laws of motion, focusing on practical applications in collision problems
  • Practice solving problems involving force and acceleration using F=ma
  • Explore vector analysis in physics to better understand directionality in collisions
  • Investigate real-world applications of momentum conservation in collisions
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and collision problems, as well as educators looking for practical examples of Newton's laws in action.

shell4987
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Homework Statement


A 49 kg woman is ice-skating toward the east on a frictionless frozen lake when she collides with a 97 kg man who is ice-skating toward the west. The maximum force exerted on the woman by the man during the collision is 160 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?


Homework Equations


F=ma


The Attempt at a Solution


How would I go about solving this problem? I tried drawing a diagram of the two people colliding to figure that out, but I didn't really know where to go from there.
 
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Use Newton's laws... you might want to review the 3 laws... and try to see how they apply here...
 
shell4987 said:

Homework Statement


A 49 kg woman is ice-skating toward the east on a frictionless frozen lake when she collides with a 97 kg man who is ice-skating toward the west. The maximum force exerted on the woman by the man during the collision is 160 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?


Homework Equations


F=ma


The Attempt at a Solution


How would I go about solving this problem? I tried drawing a diagram of the two people colliding to figure that out, but I didn't really know where to go from there.

Use the third law of motion.
 

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