Momentum Problem on Motion sensor

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SUMMARY

The discussion centers on a physics problem involving a motion sensor and a force sensor used to analyze the motion of a cart. The average acceleration of the cart between t = 0.33 s and t = 0.37 s is calculated to be 0.092 m/s². The participants highlight the necessity of visual data, specifically the graphs from the sensors, to determine the change in momentum during the collision, the mass of the cart, and the energy lost in the collision. Without these graphs, further calculations remain unresolved.

PREREQUISITES
  • Understanding of basic kinematics, specifically acceleration calculations.
  • Familiarity with momentum concepts and the formula for momentum change.
  • Knowledge of mass-energy equivalence and energy loss in collisions.
  • Ability to interpret and analyze graphical data from sensors.
NEXT STEPS
  • Review the principles of momentum conservation in collisions.
  • Learn how to calculate energy loss in elastic and inelastic collisions.
  • Study the relationship between force, mass, and acceleration using Newton's second law.
  • Explore how to graph motion data and extract meaningful insights from sensor outputs.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding motion analysis through sensor data.

susie__
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Homework Statement



2001 M1
A motion sensor and a force sensor record the motion of a cart along a track, as shown above. The cart is given a push so that it moves toward the force sensor and then collides with it. The two sensors record the values shown in the following graphs.
a. Determine the cart's average acceleration between t = 0.33 s and t = 0.37 s.
b. Determine the magnitude of the change in the cart's momentum during the collision.
c. Determine the mass of the cart.
d. Determine the energy lost in the collision between the force sensor and the cart

Homework Equations



u4l2b5.gif


The Attempt at a Solution



a) Average Acceleration = delta v /delta t
=.092 m/s^2

b) I'm stuck here
 
Last edited:
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I don't think we'll be able to help without seeing the graphs! Could you post them?
 

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