An initially moving 10kg crate slides without friction 7.5m up a ramp inclined a
ID: 1958241 • Letter: A
Question
An initially moving 10kg crate slides without friction 7.5m up a ramp inclined as illustrated in this problem: an initially moving 10kg crate slides without friction 7.5m up a ramp inclined at 12.5 degrees above horizontal until it stops.1.) Calculate the crate initial velocity, displacement, normal force, and acceleration vectors using coordinates that are parallel (downwards) and perpendicular (above) to the ramp.
2.) Calculate the crate initial velocity, displacement, normal force, and acceleration vectors using vertical and horizontal ('standard') coordinates.
Explanation / Answer
use trig to find the displacement. for example: x= C cos . C being the hypotenuse of the right triangle, in this case the length of the ramp.
normal force is mass times acceleration. or F=ma. Acceleration will be -g, because gravity will be pulling down on the object. The vector will correspond to the derection of magnitude. if you need the equation for vectors it can be broken into R=xi+yj. R is the resultent and y and x are the magnitudes of the vectors in the x and y derections. i and j are a constant that mean 1 in the derection x or y.
using some trig, the equation for the vectors and some kinemetric equations and you should fint the answers you need.
for the second question give the system x and y axis and do some trig to find the x and y cordanates. graphing calc would be handy for this.