A 3.20 kg block starts at rest and slides a distance d down a frictionless 30.0° incline, where it runs into a spring (Fig. 8-46). The block slides an additional 24.0 cm before it is brought to rest momentarily by compressing the spring, whose spring constant k is 418 N/m.
(a) What is the value of d? i got 0.53, which is right.
(b) What is the distance between the point of first contact and the point where the block's speed is greatest?
I got part (a). For part (b), because potential energy varies inversely with kinetic energy, in this situation, wouldn't the point of greatest speed also be the point at which the spring is re-expanded to its full length, so wouldn't the answer be 0?
pic: http://www.webassign.net/hrw/08_46.gif
Thanks!!!
(a) What is the value of d? i got 0.53, which is right.
(b) What is the distance between the point of first contact and the point where the block's speed is greatest?
I got part (a). For part (b), because potential energy varies inversely with kinetic energy, in this situation, wouldn't the point of greatest speed also be the point at which the spring is re-expanded to its full length, so wouldn't the answer be 0?
pic: http://www.webassign.net/hrw/08_46.gif
Thanks!!!
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I think your logic is correct. The block comes to rest when the spring is compressed, and regains its maximum speed when the spring expands again.
So the DISPLACEMENT is 0, but maybe they want the total DISTANCE travelled, which is 24 cm there and back = 48cm = 0.48m
So the DISPLACEMENT is 0, but maybe they want the total DISTANCE travelled, which is 24 cm there and back = 48cm = 0.48m