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

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The discussion revolves around calculating the final velocity of a ball and a stationary steel plate after a collision, considering parameters such as the mass of the ball, the mass of the plate, the angle of impact, the coefficient of restitution, and spring stiffness. The initial conditions include a ball striking the plate at 30 m/s and an angle of 60 degrees, with the plate having two different mass scenarios (M=2m and M=0.5m). Participants are seeking help with the calculations for the final velocities and spring deflection resulting from the impact. Visual aids, like a setup diagram, are requested to better understand the problem. The discussion emphasizes the need for clarity in applying physics concepts to solve the collision scenario.
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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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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