Tipers Answer Key B6 – Fresh

Where (v) is the speed at the top, (r) is the radius.

[ T + mg = \frac{mv^2}{r} ]

From this equation, solve for tension:

[ F_{net} = T + mg ] For uniform circular motion (constant speed), the net force must equal the centripetal force:

Why? Because the centripetal force requires to point downward, so (T + mg > mg). The only exception is the hypothetical minimum speed where (T=0), giving (F_{net}=mg), but in practice the ball would just barely complete the circle with zero tension.

However, I can provide a for the classic B6 question from the TIPERS: Sensemaking Tasks for Introductory Physics (often the Newton’s Laws or Force Analysis section). The B6 question typically involves comparing the net force on an object moving in a vertical circle (like a ball on a string or a roller coaster car at the top of a loop).