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Part A
1. F
2a. C
2b. D
3. A and E
4. D
5. A
6a. E
6b. B
6c. D
6d. A
7. C
8. B
9. E
Part B
1a. v_final = 1.47 m/s (using conservation of momentum)
1b. E
1c. h = 0.110 m or 11.0 cm (using conservation of
energy or using kinematics)
2a. total KE = 126.9 J or 127 J (translational
KE = 90.6 J, rotational KE = 36.3 J)
2b. h = 1.78 m (using conservation of energy)
2c. C (The greater the rolling object's moment of inertia,
the greater its rotational KE, and hence the greater its total
KE, so the greater its final height. The hollow cylinder is like
a hoop, so it has the greatest moment of inertia; the sphere has
less moment of inertia; the ice cube has zero moment of inertia
-- it doesn't spin at all.)
3. F_tension = m * g / (2 * sin a)