Exam 7: Energy of a System

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Two cannonballs are dropped from a second floor physics lab at height h above the ground. Ball B has four times the mass of ball A. When the balls pass the bottom of a first floor window at height Two cannonballs are dropped from a second floor physics lab at height h above the ground. Ball B has four times the mass of ball A. When the balls pass the bottom of a first floor window at height   above the ground, the relation between their kinetic energies, K<sub>A</sub> and K<sub>B</sub>, is above the ground, the relation between their kinetic energies, KA and KB, is

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If If   = 10,   = 15, and α = 130°, determine the scalar product of the two vectors shown.  = 10, If   = 10,   = 15, and α = 130°, determine the scalar product of the two vectors shown.  = 15, and α = 130°, determine the scalar product of the two vectors shown. If   = 10,   = 15, and α = 130°, determine the scalar product of the two vectors shown.

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Carts A and B have equal masses and travel equal distances D on side-by-side straight frictionless tracks while a constant force F acts on A and a constant force 2F acts on B. Both carts start from rest. The velocities Carts A and B have equal masses and travel equal distances D on side-by-side straight frictionless tracks while a constant force F acts on A and a constant force 2F acts on B. Both carts start from rest. The velocities   <sub> </sub> <sub>A</sub> and   <sub> </sub> <sub>B</sub> of the bodies at the end of distance D are related by A and Carts A and B have equal masses and travel equal distances D on side-by-side straight frictionless tracks while a constant force F acts on A and a constant force 2F acts on B. Both carts start from rest. The velocities   <sub> </sub> <sub>A</sub> and   <sub> </sub> <sub>B</sub> of the bodies at the end of distance D are related by B of the bodies at the end of distance D are related by

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A baseball is thrown and lands 120 m away. While the ball is in flight, assuming the effect of air friction is negligible, which of the following is true?

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The equation below is the solution to a physics problem: The equation below is the solution to a physics problem:   . The most likely physical situation it describes is . The most likely physical situation it describes is

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Equal amounts of work are performed on two bodies, A and B, initially at rest, and of masses M and 2M respectively. The relation between their speeds immediately after the work has been done on them is

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The only force acting on a 1.8-kg body as it moves along the x axis is given by Fx = −(3.0x) N, where x is in m. If the velocity of the body at x = 0 is vx = +8.0 m/s, at what value of x will the body have a velocity of +4.0 m/s?

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A 4.0-kg block is lowered down a 37° incline a distance of 5.0 m from point A to point B. A horizontal force (F = 10 N) is applied to the block between A and B as shown in the figure. The kinetic energy of the block at A is 10 J and at B it is 20 J. How much work is done on the block by the force of friction between A and B? A 4.0-kg block is lowered down a 37° incline a distance of 5.0 m from point A to point B. A horizontal force (F = 10 N) is applied to the block between A and B as shown in the figure. The kinetic energy of the block at A is 10 J and at B it is 20 J. How much work is done on the block by the force of friction between A and B?

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The horizontal surface on which the block slides is frictionless. The speed of the block before it touches the spring is 6.0 m/s. How fast is the block moving at the instant the spring has been compressed 15 cm? k = 2.0 kN/m The horizontal surface on which the block slides is frictionless. The speed of the block before it touches the spring is 6.0 m/s. How fast is the block moving at the instant the spring has been compressed 15 cm? k = 2.0 kN/m

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A 3.0-kg block is dragged over a rough horizontal surface by a constant force of 16 N acting at an angle of 37° above the horizontal as shown. The speed of the block increases from 4.0 m/s to 6.0 m/s in a displacement of 5.0 m. What work was done by the friction force during this displacement? A 3.0-kg block is dragged over a rough horizontal surface by a constant force of 16 N acting at an angle of 37° above the horizontal as shown. The speed of the block increases from 4.0 m/s to 6.0 m/s in a displacement of 5.0 m. What work was done by the friction force during this displacement?

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A 2.0-kg particle has an initial velocity of A 2.0-kg particle has an initial velocity of   m/s. Some time later, its velocity is   m/s. How much work was done by the resultant force during this time interval, assuming no energy is lost in the process? m/s. Some time later, its velocity is A 2.0-kg particle has an initial velocity of   m/s. Some time later, its velocity is   m/s. How much work was done by the resultant force during this time interval, assuming no energy is lost in the process? m/s. How much work was done by the resultant force during this time interval, assuming no energy is lost in the process?

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A 10-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P) acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force P as the block moves the 8.0 cm? A 10-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P) acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force P as the block moves the 8.0 cm?

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A block is pushed across a rough horizontal surface from point A to point B by a force (magnitude P = 5.4 N) as shown in the figure. The magnitude of the force of friction acting on the block between A and B is 1.2 N and points A and B are 0.5 m apart. If the kinetic energies of the block at A and B are 4.0 J and 5.6 J, respectively, how much work is done on the block by the force P between A and B? A block is pushed across a rough horizontal surface from point A to point B by a force (magnitude P = 5.4 N) as shown in the figure. The magnitude of the force of friction acting on the block between A and B is 1.2 N and points A and B are 0.5 m apart. If the kinetic energies of the block at A and B are 4.0 J and 5.6 J, respectively, how much work is done on the block by the force P between A and B?

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Carts A and B have equal masses and travel equal distances on straight frictionless tracks while a constant force F is applied to A, and a constant force 2F is applied to B. The relative amounts of work done by the two forces are related by

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When a ball rises vertically to a height h and returns to its original point of projection, the work done by the gravitational force is

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A 30-kg child sitting 5.0 m from the center of a merry-go-round has a constant speed of 5.0 m/s. While she remains seated in the same spot and travels in a circle, the work the seat performs on her in one complete rotation is

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The force of static friction exerted on an automobile's tires by the ground

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Sally, who weighs 450 N, stands on a skate board while Roger pushes it forward 13.0 m at constant velocity on a level straight street. He applies a constant 100 N force.

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A mass attached to the end of a spring is pulled out and released on a surface with friction. The work A mass attached to the end of a spring is pulled out and released on a surface with friction. The work   done on the mass by the force exerted by the spring done on the mass by the force exerted by the spring

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A force acting on an object moving along the x axis is given by Fx = (14x − 3.0x2) N where x is in m. How much work is done by this force as the object moves from x = −1 m to x = +2 m?

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