Two solid spheres hung by thin threads from a horizontal support (Figure P5.70) are initially in contact

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Two solid spheres hung by thin threads from a horizontal support (Figure P5.70) are initially in contact with each other. Sphere 1 has inertia \(m_{1}=0.050 \mathrm{~kg}\), and sphere 2 has inertia \(m_{2}=0.10 \mathrm{~kg}\). When Figure P5.70 pulled to the left and released, sphere 1 collides elastically with sphere 2 . At the instant just before the collision takes place, sphere 1 has kinetic energy \(K_{1}=\) \(0.098 \mathrm{~J}\).

(a) What is the velocity of sphere 1 right before the collision?

(b) What is the kinetic energy of the system before the collision?

(c) What is the velocity of each sphere after the collision?

(d) From part \(c\), calculate the kinetic energy after the collision. Does the value you get equal the result of part \(b\) ? Explain why or why not.

(e) Calculate the coefficient of restitution of the collision. Is this the result you expect?

Data from Figure P5.70

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