1. Consider a ball that moves vertically under the influences of both gravity an
ID: 2286128 • Letter: 1
Question
1. Consider a ball that moves vertically under the influences of both gravity and air resistance. For the purposes of this problem, take vertically upward as the positive direction. For each equation of motion below, determine whether that equation applies to (i) a situation in which the ball moves upward, (ii) a situation in which the ball moves downward, (iii) either of these, or (iv) neither of these. Explain your reasoning for each case. (a) m(dvy/dt) = ?mg ? c1vy, (b) m(dvy/dt) = ?mg + c1vy (c) m(dvy/dt) = ?mg ? c2v 2 y , (d) m(dvy/dt) = ?mg + c2v 2 y
Explanation / Answer
(a) Either upward or downward - the sign of the drag force and the sign of the velocity are opposite each other
(b) Neither upward nor downward - the drag force needs to should have a sign that is opposite the sign of the velocity
(c) Upward - the drag force is negative, so the ball much be moving up- ward
(d) Downward - the drag force is positive, so the ball must be moving downward
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.