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

In summary, a collision problem with spring involves analyzing the dynamics of objects colliding with a spring, including the forces, energy, and resulting motion. This type of collision problem is more complex than a regular collision as it involves a spring that can store and release energy. Factors such as mass, velocity, spring stiffness, and collision angle can affect the outcome of a collision problem with spring. Scientists use mathematical models and experiments to study and predict the motion in these collisions, which have real-world applications in areas such as car crashes, sports equipment design, and understanding natural phenomena involving elastic materials.
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chunky
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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.
 

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

What is a "collision problem with spring"?

A collision problem with spring refers to the study of the dynamics of objects colliding with a spring. This includes analyzing the forces and energy involved in the collision, as well as the resulting motion of the spring and the objects involved.

How is a collision problem with spring different from a regular collision problem?

A collision problem with spring involves the added complexity of a spring, which can store and release energy during the collision. This makes the analysis more challenging and requires a different approach than a regular collision problem without a spring.

What factors affect the outcome of a collision problem with spring?

The outcome of a collision problem with spring is affected by factors such as the mass and velocity of the objects involved, the stiffness and length of the spring, and the angle at which the objects collide with the spring.

How do scientists study collision problems with spring?

Scientists use mathematical models, such as Newton's laws of motion, to analyze and predict the motion of objects in a collision with a spring. They also conduct experiments using various setups and parameters to observe and validate their predictions.

What are some real-world applications of collision problems with spring?

Collision problems with spring have many practical applications, including in car crashes, sports equipment design, and engineering of shock absorbers. They are also important in understanding the mechanics of earthquakes and other natural phenomena involving elastic materials.

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