When the person is skating from the bottom of the track back up to the top, her potential energy _______ . When the person is sk
1 answer:
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Answer:
a). Maximum Length L=0.929m
b). T=0.83 Hz or 1.2s
c). Longer, the effortless waling T=2.1 Hz or t=0.475s
d). t=1.2s V=0.774
t=0.475s V=1.95
Explanation:
Length legs=L=1.1m
angle=50
the step that give the person forms a triangle whose two sides are known and the angle that forms between them, then using trigonometry as the image
Divide the original triangle in two and form a right triangle so the angle is 25 and the L is hypotenuse and the opposite is the step length
a).
Length of the step
L=0.464m*2
L=0.928m
b).
period=T
c).
The period is the inverse of the time of the motion so, the T1 is faster that the T because
d).
The speed is the relation between the distance with time so:
To convert parametric to Cartesian systems, you need to find a way to get rid of the t's.
In this case, the t's are inside trigonometric functions, so we're going to use a very famous trig identity you should memorize:
If we plug sin(t) and cos(t) into that equation only x and y variables will be left!
BUT there's one thing. The given cos(t + pi/6) has nasty extra stuff in it. However, part a gives you a tip on how to relate x and y to a nice clean cos(t)
So if we do a little rearranging:
Now we can plug these into the famous trig identity!
Do a little bit of adjustments to get that final form asked for, and you'll be able to find those integers of a and b. ;)
In this case, the t's are inside trigonometric functions, so we're going to use a very famous trig identity you should memorize:
If we plug sin(t) and cos(t) into that equation only x and y variables will be left!
BUT there's one thing. The given cos(t + pi/6) has nasty extra stuff in it. However, part a gives you a tip on how to relate x and y to a nice clean cos(t)
So if we do a little rearranging:
Now we can plug these into the famous trig identity!
Do a little bit of adjustments to get that final form asked for, and you'll be able to find those integers of a and b. ;)