NPHY 111
Semester Test
Scope
Scope of NPHY 111 Semester Test
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Chapters 2 – 12.
All problems done in class.
Sample Problems in textbook.
Extra problems published on eFundi for practice.
Proofs (6 of these proofs will be asked in the Semester Test):
o Derive 𝑣𝑣 = 𝑎𝑎𝑎𝑎 + 𝑣𝑣𝑜𝑜 .
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NPHY 111
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2
Derive 𝑥𝑥 = 𝑣𝑣0 𝑡𝑡 + 𝑎𝑎𝑡𝑡 2 + 𝑥𝑥0 .
Derive the vertical and horizontal motion equations of projectile motion.
𝑣𝑣 2
Uniform circular motion: Derive 𝑎𝑎 = 𝑟𝑟 and show that 𝜃𝜃 = 𝜑𝜑.
2𝐹𝐹𝐹𝐹
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𝐶𝐶𝐶𝐶𝜌𝜌
Show that terminal velocity is given by 𝑣𝑣𝑡𝑡 = �
Show that work is given by 𝑊𝑊 = 𝐹𝐹� ∙ 𝑑𝑑̅ (bead on a wire example).
Show that work done by the gravitational force is given by 𝑊𝑊𝑔𝑔 = ±𝑚𝑚𝑚𝑚𝑚𝑚.
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Show that the work done by a spring force is 𝑊𝑊𝑠𝑠 = 𝑘𝑘𝑥𝑥𝑖𝑖2 − 𝑘𝑘𝑥𝑥𝑓𝑓2 .
Show that the gravitational potential energy is given by 𝑈𝑈(𝑦𝑦) = 𝑚𝑚𝑚𝑚𝑚𝑚.
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Show that the elastic potential energy is given by 𝑈𝑈(𝑥𝑥) = 𝑘𝑘𝑥𝑥 2 .
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Show that the kinetic energy of rotation is given by 𝐾𝐾 = 2 𝐼𝐼𝜔𝜔2 .
Semester Test
Scope