0 5 10 15 20 25 30 0 2 4 6 Time (s) X (m) 8

P211 Final Sample 1
23) The diagram represents a snapshot of a standing transverse wave on a flexible string
taken when the displacement is at a maximum. The string is L = 2 m long with tension
F T = 9 N. The total mass of the string is m = 0.050 kg. What is the period T of the
oscillations? (Hint: the wave velocity is linked to the period via: v = λ / T )
A) 0.0037 s B) 0.023 s C) 0.053 s
D) 0.15 s E) 0.75 s
24) Vulcan, a hypothetical planet, has a mass of 6 × 10 23 kg, a radius of 3 × 10 6 m, and no
atmosphere. A 6 kg space probe is to be launched vertically from its surface. If the probe
is to achieve a maximum distance of 12 × 10 6 m from the center of Vulcan (at which
point it would halt briefly before starting to fall back towards Vulcan), with what initial
kinetic energy must it be launched from the surface of Vulcan? (Hint: the total energy,
i.e., kinetic plus gravitational potential, is conserved, and remember that
G = 6.67 × 10 −11 N m 2 / kg 2 .)
A) 1.2 × 10 9 J B) 3.0 × 10 7 J C) 8.0 × 10 7 J
D) 6.0 × 10 7 J E) 5.0 × 10 7 J
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