The simple pendulum (figure shown in Question 2) consists of a light but rigid bar of length L=0.3 m, with a ball on the end with mass M = 9.1 kg.  The pendulum is released from the position shown in dashed lines.  As the pendulum passes through the vertical position with an angular velocity  = 5 rad/s, it strikes a sphere of mass m = 1.6 kg, which is initially at rest. Calculate the angular velocity  which the pendulum has immediately after impact if the sphere moves to the left with a velocity v =3 m/s after impact. Neglect friction, and take counterclockwise rotation as positive. Your answer should be given with two decimal places, should have the correct sign, and should include the correct units.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.