Cylinder A is moving to the right with speed v = 2.0 m/s when it impacts the initially stationary cylinder B. Both cylinders have mass m = 2.2 kg, and the coefficient of restitution for the collision is e = 0.77. Determine the maximum deflection δ of the spring of modulus k = 760 N/m. Neglect friction.

x=9.5 cm

Explanation:

We have here three parts to analyze.

 Let's use conservation of momentum in the first part, to find the one equation:

(1)

Where m(A) = m(B) = 2.2 kg, so the masses canceled out from equation (1):

(2)

We can use the coefficient of restitution to find the second equation:

(3)

We can find v(fA) and v(fB) combining (3) and (4) and solving the system of equations:

Now, using the conservation of energy, related to the cylinder B, we have:

(4)

here, v is 1.77 m/s.

Solving the equation (4) for x, we have:

I hope it helps you!

answer:

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