Gregory gets out of his car in a parking lot. the parking lot is on the hill and
ID: 1419894 • Letter: G
Question
Gregory gets out of his car in a parking lot. the parking lot is on the hill and has a 4 degree slope. 12 meters downhill a little old lady lets go of a fully loaded 12 kg shopping cart. The cart wheels are frictionless as the cart rolls straight down hill. Greg sprints after the cart at 4.2 m/s. Disregard effect of rotation on wheels A- what is the acceleration of the cart B- how long until Greg catches the cart C- how far did the cart rollGregory gets out of his car in a parking lot. the parking lot is on the hill and has a 4 degree slope. 12 meters downhill a little old lady lets go of a fully loaded 12 kg shopping cart. The cart wheels are frictionless as the cart rolls straight down hill. Greg sprints after the cart at 4.2 m/s. Disregard effect of rotation on wheels A- what is the acceleration of the cart B- how long until Greg catches the cart C- how far did the cart roll
A- what is the acceleration of the cart B- how long until Greg catches the cart C- how far did the cart roll
Explanation / Answer
Accelearation of the cart,
a = g*sin(theta)
=9.81*sin 4
=0.6843 m/s
(b) When greg catches the cart
distance moved by greg = distance moved by cart
d = v*t = 1/2*a*t^2
4.2*t = 1/2*0.6843*t^2
t = 12.28 s (time to catch the cart)
(c)
distance cart roll
d = v*t = 4.2*12.28= 51.56 m
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