A glider with mass m = 0.210kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 5.20N/m . You pull on the glider, stretching the spring 0.130m , and then release it with no initial velocity. The glider begins to move back toward its equilibrium position (x=0).

What is the speed of the glider when it returns to x=0?

What must the initial displacement of the glider be if its maximum speed in the subsequent motion is to be 3.00m/s ?

Question

A glider with mass m = 0.210kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 5.20N/m . You pull on the glider, stretching the spring 0.130m , and then release it with no initial velocity. The glider begins to move back toward its equilibrium position (x=0).

What is the speed of the glider when it returns to x=0?


What must the initial displacement of the glider be if its maximum speed in the subsequent motion is to be 3.00m/s ?

anonymous · Answer

The potential energy of spring is
$$U=\frac12 k \Delta x^2$$
it must be
equal to kinetic energy at x=0

anonymous · Answer

thank you ill try this:)

anonymous · Answer

Good luck :)

anonymous · Answer

i still get the wrong answer -_-

anonymous · Answer

What's your answer?

anonymous · Answer

help me :(

anonymous · Answer

I got 0.65 m/s for first question. Is it wrong or right?

anonymous · Answer

okay ill try it

anonymous · Answer

its correct!!! life save!!!!

anonymous · Answer

You just miscalculated I guess.

anonymous · Answer

yes :D so the second question? safe formula?

anonymous · Answer

Same formula, but now you have to find displacement rather than v.

anonymous · Answer

oh okay2x ill calculate it again

anonymous · Answer

oh my god i got it correct!!!!

anonymous · Answer

Good job!! :)

anonymous · Answer

ahahaha now i need to answer 50 more question -_- doom