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Chapter 8: Q101P (page 211)
A 0.63 kg ball thrown directly upward with an initial speed of 14 m/s reaches a maximum height of 8.1 m . What is the change in the mechanical energy of the ball鈥揈arth system during the ascent of the ball to that maximum height?
The change in mechanical energy of the ball is - 12 J .
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A spring ( K= 200 N/m) is fixed at the top of a frictionless plane inclined at angle (Fig. 8-59). A 1.0 kgblock is projected up the plane, from an initial position that is distance d = 0.60 mfrom the end of the relaxed spring, with an initial kinetic energy of 16 J. (a) What is the kinetic energy of the block at the instant it has compressed the spring 0.20 m? (b) With what kinetic energy must the block be projected up the plane if it is to stop momentarily when it has compressed the spring by 0.40 m?
The magnitude of the gravitational force between a particle of massand one of massis given bywhere Gis a constant and xis the distance between the particles. (a) What is the corresponding potential energy function U(x)? Assume thatasand that xis positive. (b) How much work is required to increase the separation of the particles fromto?
A 2.0 kgbreadbox on a frictionless incline of angle is connected, by a cord that runs over a pulley, to a light spring of spring constantk=120N/m, as shown in Figure. The box isreleased from rest when the spring is unstretched. Assume that the pulley is mass less and frictionless. (a) What is the speed of the box when it has moved 10 cmdown the incline? (b) How far down the incline from its point of release does the box slide before momentarily stopping, and what are the (c) magnitude (d) direction (Up or down the incline) of the box鈥檚 acceleration at the instant the box momentarily stops?
In Fig. 8-32, a ice flake is released from the edge of a hemisphere bowl whose radius ris . The flake-bowl contact is frictionless. (a) How much work is done on the flake by the gravitational force during the flake鈥檚 descent to the bottom of the bowl? (b) What is the change in the potential energy of the flake-Earth system during that descent? (c) If that potential energy is taken to be zero at the bottom of the bowl, what is its value when the flake is released? (d) If, instead, the potential energy is taken to be zero at the release point, what is its value when the flake reaches the bottom of the bowl? (e) If the mass of the flake were doubled, would the magnitudes of the answers to (a) through (b) increase, decrease, or remain the same?
From the edge of a cliff, a 0.55 kgprojectile is launched with an initial kinetic energy of 1550 J. The projectile鈥檚 maximum upward displacement from the launch point is +140 m. What are the (a) horizontal and (b) vertical components of its launch velocity? (c) At the instant the vertical component of its velocity is 65 m/s, what is its vertical displacement from the launch point?
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