Elastic collisions of a sliding block

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SUMMARY

The discussion focuses on a one-dimensional elastic collision involving two blocks, where block 1 (mass m1) slides at 3.6 m/s and collides with stationary block 2 (mass m2 = 0.69m1). The final velocities after the collision are calculated as v1f = 0.6604 m/s and v2f = 4.260 m/s. The blocks then slide into a region with a coefficient of kinetic friction of 0.39, where the distance each block slides before stopping can be determined using the deceleration due to friction.

PREREQUISITES
  • Understanding of elastic collision formulas
  • Knowledge of kinetic friction and its effects on motion
  • Familiarity with Newton's second law of motion
  • Basic principles of conservation of kinetic energy
NEXT STEPS
  • Calculate the deceleration of each block using the formula a = μg
  • Determine the stopping distance for block 1 and block 2 after the collision
  • Explore the implications of mass ratios in elastic collisions
  • Review the principles of conservation of momentum in collision scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for practical examples of elastic collisions and friction effects.

intenzxboi
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1. Homework Statement [/b]
Block 1, with mass m1 and speed 3.6 m/s, slides along an x-axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0.69m1. The two blocks then slide into a region where the coefficient of kinetic friction is 0.39; there they stop. How far into that region do (a) block 1 and (b) block 2 slide?



I used the elastic collision formula and got v1f= .6604m/s and v2f=4.260 m/s

can i use conservation of ke?? to find mass?
 
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intenzxboi said:
1. Homework Statement [/b]
Block 1, with mass m1 and speed 3.6 m/s, slides along an x-axis on a frictionless floor and then undergoes a one-dimensional elastic collision with stationary block 2, with mass m2 = 0.69m1. The two blocks then slide into a region where the coefficient of kinetic friction is 0.39; there they stop. How far into that region do (a) block 1 and (b) block 2 slide?

I used the elastic collision formula and got v1f= .6604m/s and v2f=4.260 m/s

can i use conservation of ke?? to find mass?

You can determine the distance by observing the deceleration of the friction for each block and applying it to the velocity.

F = m*a = μ*m*g

a = μ*g
 

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