How Does a Spring Affect the Outcome of a Ball and Plate Collision?

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SUMMARY

The discussion focuses on the dynamics of a ball and plate collision, specifically analyzing a ball with mass m striking a stationary steel plate with mass M at a velocity of 30 m/s and an angle of 60 degrees. The coefficient of restitution is set at e=0.7, and the spring stiffness is k=155 N/m. Calculations are required to determine the final velocities of both the ball and plate post-impact, as well as the spring deflection, with scenarios where M equals 2m and 0.5m. The discussion emphasizes the need for a visual representation of the setup to aid understanding.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with the coefficient of restitution
  • Knowledge of spring mechanics and Hooke's Law
  • Basic trigonometry for angle calculations
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  • Calculate final velocities using conservation of momentum equations
  • Explore the effects of varying mass ratios on collision outcomes
  • Investigate the role of the coefficient of restitution in elastic and inelastic collisions
  • Learn about spring dynamics and energy transfer in collisions
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Physics students, mechanical engineers, and anyone interested in collision mechanics and dynamics involving springs.

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View attachment 2501The ball (mass m) strikes the heavy steel plate (mass M) with a velocity of v=30m/s at an angle of 60 degrees with the horizontal. the plate is initially stationary. If the coefficient of restitution is e=0.7 and the spring stiffness is k=155N/m. Calculate the final velocity of the ball and the plate immediately after impact and the spring deflection. Also do the calculations if M=2m and M=0.5m

i just need a kick start on this question as I am completely lost
 

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Please post a picture of the setup.
 

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