Calculating Impulse & Kinetic Energy of Collision

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SUMMARY

The discussion focuses on calculating the impulse and kinetic energy resulting from a collision between a 5 kg ball and a 0.5 kg plastic cube on a frictionless table. The cube, moving at 26 m/s, strikes the ball, which subsequently leaves the table. Key calculations include determining the total impulse imparted to the ball, its horizontal velocity post-collision, the cube's speed and direction after the impact, the kinetic energy dissipated during the collision, and the distance between the impact points of both objects on the floor.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of impulse and momentum
  • Basic knowledge of kinetic energy calculations
  • Ability to apply conservation of momentum principles
NEXT STEPS
  • Calculate impulse using the formula: Impulse = Change in momentum
  • Learn about conservation of momentum in elastic and inelastic collisions
  • Explore kinetic energy formulas and their applications in collision scenarios
  • Study projectile motion to determine the distance of impact on the floor
USEFUL FOR

Physics students, educators, and anyone interested in mechanics, particularly those studying collisions and energy transfer in physical systems.

dbb2112
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A 5 kilogram ball initally rests at the edge of a 2 meter long, 1.2 meter high frictionless table. A hard plastic cube of mass .5 slides across the table at a speed of 26 meters per second and strikes the ball, causing the ball to leave the table in the direction in which the cube was moving.

a. Determine the total impulse given to the ball.
b.Determine the horizantal velocity of the ball immediately after the collission.
c.Determine the following for the cuble immediatley after the collision.
i. its speed
i. its direction of travel if moving
d determine the kinetic energ dissipated in the collision
e. determine the distance beween the two points of impact of the objects with the floor
 
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