how do you solve a problem like this
2006-11-18 09:51:08 · 4 answers · asked by jk 1 in Science & Mathematics ➔ Physics
You have to know the coefficient of friction between the cup and the dashboard and the rate of deceleration. When the cup's forward inertia is more than the friction holding the cup there, it slides.
2006-11-18 10:03:01 · answer #1 · answered by Tom-PG 4 · 0⤊ 0⤋
First you must know the acceleration; if it is uniform, then that is just the change in velocity divided by the time in which that change occurs, a = âv/t. the force on the cup is then m*a, where m=mass of the cup. The cup is held by friction against the dashboard, and that force is given by F = m*g*k, where k is the coefficient of friction between the cup and dashboard. When m*a exceeds F the cup will slide, so
m*g*k = m*âv/t or g*k = ât/t
is the condition for sliding. Depending on what quanitiies you know (t, âv, or k) you can compute the others.
2006-11-18 18:16:14 · answer #2 · answered by gp4rts 7 · 1⤊ 0⤋
Here's how to solve the problem: buy a car that has cup-holders, and you wouldn't need to put you coffee cup on the dashboard.
2006-11-18 17:53:41 · answer #3 · answered by Anonymous · 0⤊ 2⤋
decelerates from 41km/hr to 0km/hr? what are you trying to find?
2006-11-18 18:01:40 · answer #4 · answered by 7 · 0⤊ 1⤋