Last night, "Posters" was staged again, this time with Marcello Hernández and Ego Nwodom alongside Stone, Day, and Thompson. The talking posters assured Hernández that physics was—in fact—relevant.
The punchline stinger at the end of the skit is always a graphic showing the subsequent failed exam.
I posted the skit to Twitter/X (@phyzman) for the benefit of my #ITeachPhysics colleagues. Dan Burns (@kilroy22) quickly noticed that Marcello actually got the correct answer on the most difficult question of the three shown, Question 3.
The recoil height depends on the ball's recoil speed. Conservation of momentum for a perfectly elastic head-on collision with a twice-as-massive body is 1/3 of the impact speed. With 1/3 the impact speed, conservation of energy reveals the ball will rise 1/9 the launch height: 1/9 h. Marcello's answer is correct.
That made me take a look at Question 2. The road must exert a forward force to match the force of air resistance while also exerting a centripetal force equal to mv²/r. Taken together, the forward force and radially inward force result in F(B). Marcello's answer is correct on that one, too.
Dan and I dismissed Question 1 as "not even wrong" since it's not even a physics question. It's a pure math question involving unit conversions. Invoking Avogadro's number in a physics exam is distasteful.
If we allow this faux pas, 1/12 of Avogadro's number is 5 × 10²². Convert that from seconds to hours by dividing it by 3600 (the number of seconds in an hour). Convert that to days by dividing by 24. Convert that to the never-used-in-a-physics-class unit of weeks by dividing by 7. That's 8.26 × 10¹⁶ weeks. Not an option. So divide that by 52 to convert it to years. 1.59 × 10¹⁵. Once again, Marcello's answer is correct.
It's picking nits to complain that the formatting of Question 1's answer options don't match those of Questions 2 and 3. Or that X was used instead of the correct symbol, ×.
Marcello aced this exam. Kudos to the talking posters. And who is Marcello's physics instructor?
