3- A particle moves under the influence of a single conservative force with a potential energy ofU = 2x² - 8 x, where U is in J and x is in m. Find the position of the particle when it is at equilibrium.a- 3mb- 5 mc- 2 md-4 m4. A block at the bottom of a frictionless incline is given an initial velocity of 4 m/s up the incline asshown in the figure. How far up the incline (d) does the block reach before coming to rest momentarily?a- 4mb- 0.8mc- 2md- 1.6md30⁰

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Description: 3- A particle moves under the influence of a single conservative force with a potential energy ofU = 2x² - 8 x, where U is in J and x is in m. Find the position of the particle when it is at equilibrium.a- 3mb- 5 mc- 2 md-4 m4. A block at the bottom

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3- A particle moves under the influence of a single conservative force with a potential energy of U = 2x² - 8 x, where U is in J and x is in m. Find the position of the particle when it is at equilibrium. a- 3m b- 5 m c- 2 m d-4 m

3- A particle moves under the influence of a single conservative force with a potential energy of U = 2x² - 8 x, where U is in J and x is in m. Find the position of the particle when it is at equilibrium. a- 3m b- 5 m c- 2 m d-4 m

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 27AP: Consider the blockspringsurface system in part (B) of Example 8.6. (a) Using an energy approach,...

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Consider the following scenario. A car for which friction is not negligible accelerates from rest down a hill, running out of gasoline after a short distance. The driver lets the car coast farther down the hill, then up and over a small crest. He then coasts down that hill into a gas station, where he brakes to a stop and fills the tank with gasoline. Identify the forms of energy the car has, and how they are changed and transferred in this series of events. (See Figure 7.34.) Figure 7.34 A car experiencing non-negligible friction coasts down a hill, over a small crest then dill again, and comes to a stop at a gas station.
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A roller-coaster car of mass 1.50 103 kg is initially at the top of a rise at point . It then moves 35.0 m at an angle of 50.0 below the horizontal to a lower point . (a) Find both the potential energy of the system when the car is at points and and the change in potential energy as the car moves from point to point , assuming y = 0 at point . (b) Repeat part (a), this time choosing y = 0 at point , which is another 15.0 m down the same slope from point .
A 2.0-kg block starts with a speed of 10 m/s at the bottom of a plane inclined at 37 to the horizontal. The coefficient of sliding friction between the block and plane is k=0.30 . (a) Use the work-energy principle to determine how far the block slides along the plane before momentarily coming to rest. (b) After stopping, the block slides back down the plane. What is its speed when It reaches the bottom? (Hint: For the round trip, only the force of friction does work on the block.)
How much work is done by the boy pulling his sister 30.0 m in a wagon as shown in Figure 7.36? Assume no friction acts on the wagon. Figure 7.36 The boy does work on the system of the wagon and the child when he pulls them as shown.
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Consider the following scenario. A car for which friction is not negligible accelerates from rest down a hill, running out of gasoline after a short distance (see below). The driver lets the car coast farther down the hill, then up and over a small crest. He then coasts down that hill into a gas station, where he brakes to a stop and fills that tank with gasoline. Identify the forms of energy the car has, and how they are changed and transferred in this series of events.
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