Circumference of the tire = (2 pi) x (radius)
= (2 pi) x (0.62 meter)
= 3.9 meters
If the tire never slips or skids, then the speed of the vehicle is
speed = (distance) / (time to cover the distance)
= (5 x 3.9 meters) / 1 second
= 19.48 meters/second .
(about 43.6 miles per hour) .
We can't say anything about the vehicle's velocity, because we have
no information about the direction in which it's heading.
A transcript of a presidential speech (APEX Class ;)
<span>3.2 grams
The first thing to do is calculate how many half lives have expired. So take the time of 72 seconds and divide by the length of a half life which is 38 seconds. So
72 / 38 = 1.894736842
So we're over 1 half life, but not quite 2 half lives. So you'll have something less than 12/2 = 6 grams, but more than 12/4 = 3 grams.
The exact answer is done by dividing 12 by 2 raised to the power of 1.8947. So let's calculate 2^1.8947 power
= 12 g / (e ^ ln(2)*1.8947)
= 12 g / (e ^ 0.693147181 * 1.8947)
= 12 g / (e ^ 1.313305964)
= 12 g / 3.718446464
= 3.227154167 g
So rounded to 2 significant figures gives 3.2 grams.</span>
A is pulling the block straight down toward the center of the Earth, no matter what the slope of the plane may be. A is the force of gravity.
The directions of B and C both depend on the slope of the plane.
B is a force that's parallel to the plane, pulling the block UP the plane. B is the force of friction.
C is a force perpendicular to the plane, preventing the block from falling down through the plane. C is the normal force.
