Exam 7: Conservation of Energy

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    Consider a motion in which a particle goes from A  \to  B along path 1 and from B back to A along path 2, as shown.  W(AB, 1) = work in going from A  \to  B along path 1. W(BA, 2) = work in going from B  \to  A along path 2. If only conservative forces are acting, then Consider a motion in which a particle goes from A →\to B along path 1 and from B back to A along path 2, as shown. W(AB, 1) = work in going from A →\to B along path 1. W(BA, 2) = work in going from B →\to A along path 2. If only conservative forces are acting, then

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The binding energy of a deuteron is 2.22 MeV. This means that

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  A simple pendulum has a bob of mass M. The bob is on a light string of length   . The string is fixed at C. At position A, the string is horizontal and the bob is at rest. The bob is released from A and swings to B, where the string is vertical. The tension in the string when the bob first reaches B is A simple pendulum has a bob of mass M. The bob is on a light string of length   A simple pendulum has a bob of mass M. The bob is on a light string of length   . The string is fixed at C. At position A, the string is horizontal and the bob is at rest. The bob is released from A and swings to B, where the string is vertical. The tension in the string when the bob first reaches B is . The string is fixed at C. At position A, the string is horizontal and the bob is at rest. The bob is released from A and swings to B, where the string is vertical. The tension in the string when the bob first reaches B is

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  A system comprising two blocks is shown, one of which is on an inclined plane. The pulley is of negligible mass and is frictionless. The system starts from rest at position 1 and accelerates. Measurements taken when the blocks reach position 2 indicate that (1)the kinetic energy of block A has changed by 330 J; (2)the potential energy of block A has changed by 588 J; (3)the kinetic energy of block B has changed by 110 J; and (4)the potential energy of block B has changed by 98 J. The amount of mechanical energy that has been converted to heat because of friction is A system comprising two blocks is shown, one of which is on an inclined plane. The pulley is of negligible mass and is frictionless. The system starts from rest at position 1 and accelerates. Measurements taken when the blocks reach position 2 indicate that (1)the kinetic energy of block A has changed by 330 J; (2)the potential energy of block A has changed by 588 J; (3)the kinetic energy of block B has changed by 110 J; and (4)the potential energy of block B has changed by 98 J. The amount of mechanical energy that has been converted to heat because of friction is

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By what fraction does your mass increase when you and your car travel down the highway at 70 mph? Assume that the total mass of your car and occupant is 2000 kg.

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A 10-kg box is pushed up a plane inclined at 37º with the horizontal. The box starts from rest and is pushed 5 m along the incline with a uniform acceleration of 2 m/s2. The coefficient of kinetic friction is 0.20 and the pushing force is parallel to the plane. The increase in the potential energy of the box is

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A 5200-kg cable car in Hong Kong is pulled a distance of 360 m up a hill inclined at 12º from the horizontal. The change in the potential energy of the car is

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Use the figure to the right for the next problem. An object of mass m = 200 g slides down a frictionless ramp from a height H = 60 cm. Near the bottom of the ramp, the path changes into an arc of a circle with radius r = 20 cm. The arc has coefficient of kinetic friction μ\mu k = 0.4. The angle θ\theta = 120 ∘\circ and points P1 and P2 which are the ends of the arc, are at the same height.  Use the figure to the right for the next problem. An object of mass m = 200 g slides down a frictionless ramp from a height H = 60 cm. Near the bottom of the ramp, the path changes into an arc of a circle with radius r = 20 cm. The arc has coefficient of kinetic friction  \mu <sub>k</sub> = 0.4. The angle  \theta  = 120<sup> \circ </sup> and points P<sub>1</sub> and P<sub>2</sub> which are the ends of the arc, are at the same height.   -A 5-kg box is pushed 5 m up a plane that is inclined at 30º with the horizontal. The coefficient of kinetic friction between the box and the plane is 0.20. The change in potential energy of the box is approximately -A 5-kg box is pushed 5 m up a plane that is inclined at 30º with the horizontal. The coefficient of kinetic friction between the box and the plane is 0.20. The change in potential energy of the box is approximately

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  The graph shows a plot of the gravitational potential energy U of a 1-kg body as a function of its height h above the surface of a planet. The acceleration due to gravity at the surface of the planet is The graph shows a plot of the gravitational potential energy U of a 1-kg body as a function of its height h above the surface of a planet. The acceleration due to gravity at the surface of the planet is

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A projectile of mass m is propelled from ground level with kinetic energy of 450 J. At the exact top of its trajectory, its kinetic energy is 250 J. To what height above the starting point does the projectile rise?

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A block with a mass M = 4.85 kg is resting on a slide that has a curved surface. There is no friction. The speed of the block after it has slid along the slide sufficiently far for its vertical drop to be 19.6 m is

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Use the figure to the right for the next problem. An object of mass m = 200 g slides down a frictionless ramp from a height H = 60 cm. Near the bottom of the ramp, the path changes into an arc of a circle with radius r = 20 cm. The arc has coefficient of kinetic friction μ\mu k = 0.4. The angle θ\theta = 120 ∘\circ and points P1 and P2 which are the ends of the arc, are at the same height.  Use the figure to the right for the next problem. An object of mass m = 200 g slides down a frictionless ramp from a height H = 60 cm. Near the bottom of the ramp, the path changes into an arc of a circle with radius r = 20 cm. The arc has coefficient of kinetic friction  \mu <sub>k</sub> = 0.4. The angle  \theta  = 120<sup> \circ </sup> and points P<sub>1</sub> and P<sub>2</sub> which are the ends of the arc, are at the same height.   -The work done by a conservative force between two points is -The work done by a conservative force between two points is

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  A roller coaster starts from rest at point A. If you ignore friction and take the zero of potential energy to be at C, A roller coaster starts from rest at point A. If you ignore friction and take the zero of potential energy to be at C,

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