Two small spheres of mass 482 g and 659 g are suspended from the ceiling at the

Question

Two small spheres of mass 482 g and 659 g are suspended from the ceiling at the same point by massless strings of equal length 10.6 m. The lighter sphere is pulled aside through an angle of 62 degrees from the vertical and let go.

A) At what speed will the lighter mass m1 hit the heavier mass m2? The acceleration of
gravity is 9.8 m/s^2 . Answer in units of m/s.

B) After the lighter sphere is released and collides with the heavier sphere at the bottom of its swing, the two spheres immediately bind together. What is the speed of the combined system just after the collision? Answer in units of m/s.

C) What is the maximum angle of deflection of the two bound objects? Answer in units of degrees.

Explanation / Answer

The angle and the string length are there to compute the height of the ball from its lowest position. H = R(1 - cosT) a) V1 = v(2*g*h)=? b) V2 = P1/? c) T2 = arccos[(R-H2)/R]=? Just plug in your numbers for the missing spots and you'll get the answer.

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