A 0.5 kg air-track car is attached to the end of a horizontal spring of constant k = 20 N/m. The car is displaced 15 cm from its equilibrium point and released.

AWhat is the car's maximum speed? b) What is the car's maximum acceleration? c) What is the frequency f of the car's oscillation?

I need help please. What equations should I use for each problems?

Question

11-12-2016
Physics

Answered

A 0.5 kg air-track car is attached to the end of a horizontal spring of constant k = 20 N/m. The car is displaced 15 cm from its equilibrium point and released.

AWhat is the car's maximum speed? b) What is the car's maximum acceleration? c) What is the frequency f of the car's oscillation?

I need help please. What equations should I use for each problems?

Verified Answer :

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Vastie19 Vastie19 · Answer 1 · 2016-12-14T00:19:36-05:00

Find the amount of work that the spring does. This can be found using the equation 1/2kx^2. Then, you must set that equal to the amount of kinetic energy the car has. This is possible thanks to the work-energy theorem.

1/2kx^2 = 1/2mv^2

Solve to find velocity. Remember, the spring is displaced .15 m, not 15!

To find the acceleration, use F = ma. The force being applied to the car is kx, and you know the mass. You do the math.

For problem C I don't know, haven't done that yet in my class. Sorry!