- #1
kliang1234
- 13
- 0
A 17.0 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 190 N/m.
Picture: http://session.masteringphysics.com/problemAsset/1000077659/2/knight_Figure_10_69.jpg
We also know:
a) What is the maximum compression of the spring? 2.36m I got this answer correct
My question is on b:
At what compression of the spring does the box have its maximum speed?
I was thinking this was a trick question. From the picture, the moment the box hits the spring, it slows down because the kinetic energy is transferred to spring potential energy. So i initially thought that the speed would be maximum right before it touches the spring. Therefore, compression of the spring would be at 0m.
That was incorrect.
Then I was thinking, maybe i was wrong and that maybe maximum velocity would be when acceleration is = 0.
To find the point when acceleration would be 0, i used:
(4m x 9.8m/s^2 x 17kg x sin(30)) = 333.2 N for work done while sliding down before hitting the spring
And we know F = kx
I was thinking that acceleration would equal 0 when kx = 333.2N because the compression would counteract the sliding down force.
With k = 190 i get x to get 1.75m
That was also incorrect
I have like 2 tries left on this stupid program.
Please someone help me out.
Picture: http://session.masteringphysics.com/problemAsset/1000077659/2/knight_Figure_10_69.jpg
We also know:
a) What is the maximum compression of the spring? 2.36m I got this answer correct
My question is on b:
At what compression of the spring does the box have its maximum speed?
I was thinking this was a trick question. From the picture, the moment the box hits the spring, it slows down because the kinetic energy is transferred to spring potential energy. So i initially thought that the speed would be maximum right before it touches the spring. Therefore, compression of the spring would be at 0m.
That was incorrect.
Then I was thinking, maybe i was wrong and that maybe maximum velocity would be when acceleration is = 0.
To find the point when acceleration would be 0, i used:
(4m x 9.8m/s^2 x 17kg x sin(30)) = 333.2 N for work done while sliding down before hitting the spring
And we know F = kx
I was thinking that acceleration would equal 0 when kx = 333.2N because the compression would counteract the sliding down force.
With k = 190 i get x to get 1.75m
That was also incorrect
I have like 2 tries left on this stupid program.
Please someone help me out.