Inelastic Collision of an object Problem

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SUMMARY

The discussion centers on solving an inelastic collision problem involving a 1.5 kg object moving at 14 m/s colliding with a stationary 2.0 kg object. The solution requires calculating the velocity of the combined mass system using conservation of momentum, followed by determining the distance traveled along an inclined plane by equating kinetic energy (KE) to potential energy (PE). The final steps involve using trigonometry to find the distance moved based on the height gained by the combined blocks after the collision.

PREREQUISITES
  • Understanding of conservation of momentum
  • Knowledge of kinetic energy (KE) and potential energy (PE) equations
  • Familiarity with free-body diagrams
  • Basic trigonometry for calculating distances on inclined planes
NEXT STEPS
  • Study conservation of momentum in inelastic collisions
  • Learn how to derive potential energy from kinetic energy in physics problems
  • Explore free-body diagram techniques for analyzing forces in motion
  • Investigate the application of trigonometry in inclined plane problems
USEFUL FOR

Students in physics courses, particularly those studying mechanics, as well as educators looking for problem-solving strategies related to collisions and inclined planes.

fire765
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A m=1.5 kg object moving at 14 m/s collides with a stationary 2.0 kg object. If the collision is perfectly inelastic, how far along the inclined plane will the combined system travel? Neglect Friction.
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Any help would be appreciated
 
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This is a three part question. First you need to calculate the velocity of the combined mass system before it begins up the incline. Second, you need to determine what will slow the combined mass system down, and to what magnitude (free-body diagram). Then, it's simple kinematics to see how far up the slope the system will go.
 
I have the same exact problem with the incline...I think we have the same prof. Is it from the study guide on webassign?
 
Using conservation momentum find the velocity of the combined mass before it starts climbing the inclined plane. After moving certain distance along inclined plane combined blocks stop. So loss of KE = gain in PE. From this you can get the height of the combind blocks from the ground. Using the angle of inclination you can find the distance moved by the blocks.
 
complexc25 said:
I have the same exact problem with the incline...I think we have the same prof. Is it from the study guide on webassign?

yea its a group problem on webassign for my class

edit: I figured it out, thanks for the the help. find the KE (1/2mv^2) then set it equal to PE (mgh) and solve for h. then use trig to find the distance traveled. Again, thanks for the help, and there's one other problem ill be posting in a bit.
 
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