2. After one month of taking a literature class, a first-year Bard student decides to dispose of all the poetry he wrote in high school. Placing his poetry in a large box that ends up with a total mass of 40 kg, he pushes the box up a frictionless 25° slope that leads to a large cliff dropping into a bottomless chasm. Starting from rest and continually exerting a 500N force in the horizontal direction on the box, how long does it take him to push the box 50 meters 125° up the slope to the cliff?

2. After one month of taking a literature class, a first-year Bard student decides to dispose of all the poetry he wrote in high school. Placing his poetry in a large box that ends up with a total mass of 40 kg, he pushes the box up a frictionless 25° slope that leads to a large cliff dropping into a bottomless chasm. Starting from rest and continually exerting a 500N force in the horizontal direction on the box, how long does it take him to push the box 50 meters 125° up the slope to the cliff?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 64P

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A child of mass m starts from rest and slides without friction from a height h along a curved waterslide (Fig. P5.46). She is launched from a height h/5 into the pool. (a) Is mechanical energy conserved? Why? (b) Give the gravitational potential energy associated with the child and her kinetic energy in terms of mgh at the following positions: the top of the waterslide, the launching point, and the point where she lands in the pool. (c) Determine her initial speed V0 at the launch point in terms of g and h. (d) Determine her maximum airborne height ymax in terms of h, g, and the horizontal speed at that height, v0x. (e) Use the x-component of the answer to part (c) to eliminate from the answer to part (d), giving the height ymax in terms of g, h, and the launch angle . (f) Would your answers be the same if the waterslide were not frictionless? Explain. Figure P5.46
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