Neglect air resistance in ALL problems, let g = 10m/s^2 if needed. Dr. O. stands

Question

Neglect air resistance in ALL problems, let g = 10m/s^2 if needed. Dr. O. stands on a skateboard at rest. Bingley throws a heavy ball at him. What should Dr. O. do to the ball to maximize his speed on the skateboard after the interaction? Catch the ball Deflect the ball back at Bingley Dodge the ball Either A or B will maximize the speed, since momentum is conserved Consider the following 4 objects rotating about the point P. Each has mass distributed uniformly in the grey regions, and each object has the same total mass. Which has the largest moment of inertia?

Explanation / Answer

1) Correct option is (d)

From conservation of momentum

m1u1+m2u12 =m1v1+m2v2

m1u1 +0 =m1v1+m2v2

For maximum speed ball speed v1 =0

m1u1 =m2v2

if v1 =0

m1u1 = -m2v2

2) Correct option is (B)

Moment of inertia for A is (1/2) Mr^2 (disk)

Moment of inertia for B is MR^2 (wheel)

Moment of inertia for C is (2/5)MR^2 (disk))

Moment of inertia for D is MR^2/12 (Thin rod)

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