cq_1_151

phy 201

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A rubber band begins exerting a tension force when its length is 8 cm. As it is stretched to a length of 10 cm its tension increases with length, more or less steadily, until at the 10 cm length the tension is 3 Newtons.

• Between the 8 cm and 10 cm length, what are the minimum and maximum tensions?

answer/question/discussion: The tension would be at its minimum at the 8 cm length, 0 N. At the 10 cm length, the tension would be at its maximum, 3 N.

• Assuming that the tension in the rubber band is 100% conservative (which is not actually the case) what is its elastic potential energy at the 10 cm length?

answer/question/discussion: PE = 3 * .02 = .06 J

• If all this potential energy is transferred to the kinetic energy of an initially stationary 20 gram domino, what will be the velocity of the domino?

answer/question/discussion: KE = .5m(v^2); v = sqrt(.06 / .5*20) = .077 m/s

• If instead the rubber band is used to 'shoot' the domino straight upward, then how high will it rise?

answer/question/discussion: ‘dt = (vf-v0)/a = -.077/-9.8 = .0079 s

‘ds = ((v0 + vf)/2) * ‘dt = .039 * .0079 = .00031 m  .031 cm

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20 min

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Your procedures are generally right, but you've got some errors in the details.

&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.

Solution

This link also expands on these topics and alerts you to many of the common errors made by students in the first part of this course. &#