Physics 18 Spring 2011 Homework 3 Wednesday February ... - Faculty

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6. A block of mass m slides across a frictionless floor and then up a frictionless ramp. The angle of the ramp θ and the speed of the block before it starts up the ramp is v0. The block will slide up to some height h above the floor before stopping. Show that h is independent of m and θ by deriving an expression for h in terms of v0 and g. 6
7. A block of mass m is being lifted vertically by a uniform rope of mass M and length L. The rope is being pulled upward by a force applied to its top end, and the rope and block are accelerating upward with an acceleration of magnitude a. Show that the tension in the rope at a distance x (where x < L) above the block is given by (a + g) [m + (x/L) M]. 7
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Page 3 and 4: 3. Seat belts and air bags save liv
Page 5: 5. A 65-kg student weights himself
Page 9 and 10: 9. A 2.0 kg block rests on a fricti

Physics 18 Spring 2011 Homework 3 Wednesday February ... - Faculty

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