Physics 205A Quiz 1, fall semester 2013
Cuesta College, San Luis Obispo, CA
Cf. Giambattista/Richardson/Richardson, Physics, 2/e, Problems 1.37, 1.39
The orbital speed v of an object (measured in units of m/s) is given[*] by the so-called vis viva equation:
v2 = μ·((2/r) – (1/a)).
The orbital radius r and the semi-major axis a of the object are both measured in units of m. The units for the standard gravitational parameter μ of the body being orbited are:
(A) m–3·s2.
(B) m–1·s2.
(C) m·s–2.
(D) m3·s–2.
[*] wki.pe/Vis-viva_equation.
Correct answer (highlight to unhide): (D)
Replacing the quantities in the equation with their m and s units, except for the standard gravitational parameter μ:
(m/s)2 = μ·((2/m) – (1/m)),
m2·s–2 = μ·m–1,
m3·s–2 = μ.
Sections 70854, 70855, 73320
Exam code: quiz01cH3E
(A) : 6 students
(B) : 13 students
(C) : 11 students
(D) : 46 students
Success level: 61%
Discrimination index (Aubrecht & Aubrecht, 1983): 0.70
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