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An object is acted upon by a force that represented by the force vs.position graph in the figure.What is the work done as the object moves (a)from 4 m to 6 m? (b)from 6 m to 12 m? An object is acted upon by a force that represented by the force vs.position graph in the figure.What is the work done as the object moves (a)from 4 m to 6 m? (b)from 6 m to 12 m?

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The force on a 3.00-kg object as a function of position is shown in the figure.If an object is moving at 2.50 m/s when it is located at x = 2.00 m,what will its speed be when it reaches x = 8.00 m? (Assume that the numbers on the graph are accurate to 3 significant figures.) The force on a 3.00-kg object as a function of position is shown in the figure.If an object is moving at 2.50 m/s when it is located at x = 2.00 m,what will its speed be when it reaches x = 8.00 m? (Assume that the numbers on the graph are accurate to 3 significant figures.) A) 3.25 m/s B) 3.70 m/s C) 4.10 m/s D) 2.90 m/s E) 4.50 m/s


A) 3.25 m/s
B) 3.70 m/s
C) 4.10 m/s
D) 2.90 m/s
E) 4.50 m/s

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The angle between vector The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) = 2.00 The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) + 3.00 The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) and vector The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) is The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) The scalar product of vectors The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) and The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) is 3.00.If the x component of vector The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) is positive,what is vector The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E) .


A) The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E)
B) The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E)
C) The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E)
D) The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E)
E) The angle between vector = 2.00 + 3.00 and vector is The scalar product of vectors and is 3.00.If the x component of vector is positive,what is vector . A) B) C) D) E)

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Two men,Joel and Jerry,push against a wall.Jerry stops after 10 min,while Joel is able to push for 5.0 min longer.Compare the work they do.


A) Both men do positive work,but Joel does 75% more work than Jerry.
B) Both men do positive work,but Joel does 50% more work than Jerry.
C) Both men do positive work,but Jerry does 50% more work than Joel.
D) Both men do positive work,but Joel does 25% more work than Jerry.
E) Neither of them does any work.

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In the figure,a 900-kg crate is on a rough surface inclined at 30°.A constant external force In the figure,a 900-kg crate is on a rough surface inclined at 30°.A constant external force is applied horizontally to the crate.While this force pushes the crate a distance of 3.0 m up the incline,its velocity changes from 1.2 m/s to 2.3 m/s.How much work does friction do during this process? A) -3700 J B) -7200 J C) +3700 J D) +7200 J E) zero is applied horizontally to the crate.While this force pushes the crate a distance of 3.0 m up the incline,its velocity changes from 1.2 m/s to 2.3 m/s.How much work does friction do during this process? In the figure,a 900-kg crate is on a rough surface inclined at 30°.A constant external force is applied horizontally to the crate.While this force pushes the crate a distance of 3.0 m up the incline,its velocity changes from 1.2 m/s to 2.3 m/s.How much work does friction do during this process? A) -3700 J B) -7200 J C) +3700 J D) +7200 J E) zero


A) -3700 J
B) -7200 J
C) +3700 J
D) +7200 J
E) zero

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If two nonzero vectors point in the same direction,their dot product must be zero.

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A child pulls on a wagon with a horizontal force of A child pulls on a wagon with a horizontal force of If the wagon moves horizontally a total of in what is the average power generated by the child? A) 18 W B) 22 W C) 24 W D) 27 W If the wagon moves horizontally a total of A child pulls on a wagon with a horizontal force of If the wagon moves horizontally a total of in what is the average power generated by the child? A) 18 W B) 22 W C) 24 W D) 27 W in A child pulls on a wagon with a horizontal force of If the wagon moves horizontally a total of in what is the average power generated by the child? A) 18 W B) 22 W C) 24 W D) 27 W what is the average power generated by the child?


A) 18 W
B) 22 W
C) 24 W
D) 27 W

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A graph of the force on an object as a function of its position is shown in the figure.Determine the amount of work done by this force on the object during a displacement from x = -2.00 m to x = 2.00 m.(Assume an accuracy of 3 significant figures for the numbers On the graph.) A graph of the force on an object as a function of its position is shown in the figure.Determine the amount of work done by this force on the object during a displacement from x = -2.00 m to x = 2.00 m.(Assume an accuracy of 3 significant figures for the numbers On the graph.) A) -12.0 J B) -3.00 J C) -1.00 J D) 12.0 J E) 3.00 J


A) -12.0 J
B) -3.00 J
C) -1.00 J
D) 12.0 J
E) 3.00 J

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Calculate the minimum average power output necessary for a Calculate the minimum average power output necessary for a person to run up a 12.0 m long hillside,which is inclined at 25.0° above the horizontal,in 3.00 s.You can neglect the person's kinetic energy.Express your answer in horsepower.(1 hp = 746 W) A) 1.24 hp B) 2.93 hp C) 1.86 hp D) 0.740 hp person to run up a 12.0 m long hillside,which is inclined at 25.0° above the horizontal,in 3.00 s.You can neglect the person's kinetic energy.Express your answer in horsepower.(1 hp = 746 W)


A) 1.24 hp
B) 2.93 hp
C) 1.86 hp
D) 0.740 hp

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Find the net work done by friction on the body of a snake slithering in a complete circle of Find the net work done by friction on the body of a snake slithering in a complete circle of radius.The coefficient of friction between the ground and the snake is 0.25,and the snake's weight is A) -330 J B) 0 J C) -3300 J D) -670 J radius.The coefficient of friction between the ground and the snake is 0.25,and the snake's weight is Find the net work done by friction on the body of a snake slithering in a complete circle of radius.The coefficient of friction between the ground and the snake is 0.25,and the snake's weight is A) -330 J B) 0 J C) -3300 J D) -670 J


A) -330 J
B) 0 J
C) -3300 J
D) -670 J

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A traveler pulls on a suitcase strap at an angle 36° above the horizontal.If A traveler pulls on a suitcase strap at an angle 36° above the horizontal.If of work are done by the strap while moving the suitcase a horizontal distance of 15 m,what is the tension in the strap? A) 75 N B) 61 N C) 85 N D) 92 N of work are done by the strap while moving the suitcase a horizontal distance of 15 m,what is the tension in the strap?


A) 75 N
B) 61 N
C) 85 N
D) 92 N

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In the figure,a 700-kg crate is on a rough surface inclined at 30°.A constant external force P = 5600 N is applied horizontally to the crate.As the force pushes the crate a distance of 3.00 m up the incline,the speed changes from 1.40 m/s to 2.50 m/s.How much work does gravity do on the crate during this process? In the figure,a 700-kg crate is on a rough surface inclined at 30°.A constant external force P = 5600 N is applied horizontally to the crate.As the force pushes the crate a distance of 3.00 m up the incline,the speed changes from 1.40 m/s to 2.50 m/s.How much work does gravity do on the crate during this process? A) -10,300 J B) -3400 J C) +10,300 J D) +3400 J E) zero


A) -10,300 J
B) -3400 J
C) +10,300 J
D) +3400 J
E) zero

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For the vectors shown in the figure,assume numbers are accurate to two significant figures.The scalar product For the vectors shown in the figure,assume numbers are accurate to two significant figures.The scalar product × is closest to A) zero. B) 16. C) 45. D) -16. E) -45. × For the vectors shown in the figure,assume numbers are accurate to two significant figures.The scalar product × is closest to A) zero. B) 16. C) 45. D) -16. E) -45. is closest to For the vectors shown in the figure,assume numbers are accurate to two significant figures.The scalar product × is closest to A) zero. B) 16. C) 45. D) -16. E) -45.


A) zero.
B) 16.
C) 45.
D) -16.
E) -45.

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A force on a particle depends on position such that F(x) = (3.00 N/ A force on a particle depends on position such that F(x) = (3.00 N/ ) + (6.00 N/m) x for a particle constrained to move along the x-axis.What work is done by this force on a particle that moves from x = 0.00 m to x = 2.00 m? A) 10.0 J B) 20.0 J C) -48.0 J D) 24.0 J E) 48.0 J ) A force on a particle depends on position such that F(x) = (3.00 N/ ) + (6.00 N/m) x for a particle constrained to move along the x-axis.What work is done by this force on a particle that moves from x = 0.00 m to x = 2.00 m? A) 10.0 J B) 20.0 J C) -48.0 J D) 24.0 J E) 48.0 J + (6.00 N/m) x for a particle constrained to move along the x-axis.What work is done by this force on a particle that moves from x = 0.00 m to x = 2.00 m?


A) 10.0 J
B) 20.0 J
C) -48.0 J
D) 24.0 J
E) 48.0 J

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Block A (0.40 kg) and block B (0.30 kg) are on a frictionless table (see figure) .Spring 1 connects block A to a frictionless peg at 0 and spring 2 connects block A and block B.When the blocks are in uniform circular motion about 0,the springs have lengths of 0.60 m and 0.40 m,as shown.The springs are ideal and massless,and the linear speed of block B is 2.0 m/s.If the spring constant of spring 1 is equal to 30 N/m,the unstretched length of spring 1 is closest to Block A (0.40 kg) and block B (0.30 kg) are on a frictionless table (see figure) .Spring 1 connects block A to a frictionless peg at 0 and spring 2 connects block A and block B.When the blocks are in uniform circular motion about 0,the springs have lengths of 0.60 m and 0.40 m,as shown.The springs are ideal and massless,and the linear speed of block B is 2.0 m/s.If the spring constant of spring 1 is equal to 30 N/m,the unstretched length of spring 1 is closest to A) 0.51 m. B) 0.52 m. C) 0.53 m. D) 0.54 m. E) 0.55 m.


A) 0.51 m.
B) 0.52 m.
C) 0.53 m.
D) 0.54 m.
E) 0.55 m.

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A graph of the force on an object as a function of its position is shown in the figure.Determine the amount of work done by this force on an object that moves from x = 1.0 m to x = 6.0 m.(Assume an accuracy of 2 significant figures for the numbers on the graph.) A graph of the force on an object as a function of its position is shown in the figure.Determine the amount of work done by this force on an object that moves from x = 1.0 m to x = 6.0 m.(Assume an accuracy of 2 significant figures for the numbers on the graph.) A) 26 J B) 29 J C) 22 J D) 35 J E) 27 J


A) 26 J
B) 29 J
C) 22 J
D) 35 J
E) 27 J

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You slam on the brakes of your car in a panic,and skid a certain distance on a straight,level road.If you had been traveling twice as fast,what distance would the car have skidded,under identical conditions?


A) It would have skidded 4 times farther.
B) It would have skidded 2 times farther.
C) It would have skidded You slam on the brakes of your car in a panic,and skid a certain distance on a straight,level road.If you had been traveling twice as fast,what distance would the car have skidded,under identical conditions? A) It would have skidded 4 times farther. B) It would have skidded 2 times farther. C) It would have skidded times farther. D) It would have skidded 1/ times farther. E) It would have skidded 1/2 as far. times farther.
D) It would have skidded 1/ You slam on the brakes of your car in a panic,and skid a certain distance on a straight,level road.If you had been traveling twice as fast,what distance would the car have skidded,under identical conditions? A) It would have skidded 4 times farther. B) It would have skidded 2 times farther. C) It would have skidded times farther. D) It would have skidded 1/ times farther. E) It would have skidded 1/2 as far. times farther.
E) It would have skidded 1/2 as far.

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Three forces,F1 = 20.0 N,F2 = 40.0 N,and F3 = 10.0 N act on an object with a mass of 2.00 kg which can move along a frictionless inclined plane as shown in the figure.The questions refer to the instant when the object has moved through a distance of 0.600 m along the surface of the inclined plane in the upward direction.Calculate the amount of work done by (a)F1 (b)F2 (c)F3. Three forces,F<sub>1</sub> = 20.0 N,F<sub>2</sub> = 40.0 N,and F<sub>3</sub> = 10.0 N act on an object with a mass of 2.00 kg which can move along a frictionless inclined plane as shown in the figure.The questions refer to the instant when the object has moved through a distance of 0.600 m along the surface of the inclined plane in the upward direction.Calculate the amount of work done by (a)F<sub>1</sub> (b)F<sub>2</sub> (c)F<sub>3</sub>.

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(a)12.0 J ...

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Determine the angle between the directions of vector Determine the angle between the directions of vector = 3.00 + 1.00 and vector = -3.00 + 3.00 . A) 26.6° B) 30.0° C) 88.1° D) 117° E) 45.2° = 3.00 Determine the angle between the directions of vector = 3.00 + 1.00 and vector = -3.00 + 3.00 . A) 26.6° B) 30.0° C) 88.1° D) 117° E) 45.2° + 1.00 Determine the angle between the directions of vector = 3.00 + 1.00 and vector = -3.00 + 3.00 . A) 26.6° B) 30.0° C) 88.1° D) 117° E) 45.2° and vector Determine the angle between the directions of vector = 3.00 + 1.00 and vector = -3.00 + 3.00 . A) 26.6° B) 30.0° C) 88.1° D) 117° E) 45.2° = -3.00 Determine the angle between the directions of vector = 3.00 + 1.00 and vector = -3.00 + 3.00 . A) 26.6° B) 30.0° C) 88.1° D) 117° E) 45.2° + 3.00 Determine the angle between the directions of vector = 3.00 + 1.00 and vector = -3.00 + 3.00 . A) 26.6° B) 30.0° C) 88.1° D) 117° E) 45.2° .


A) 26.6°
B) 30.0°
C) 88.1°
D) 117°
E) 45.2°

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A student slides her 80.0-kg desk across the level floor of her dormitory room a distance 4.00 m at constant speed.If the coefficient of kinetic friction between the desk and the floor is 0.400,how much work did she do?


A) 128 J
B) 3.14 kJ
C) 26.7 J
D) 1.26 kJ
E) 24.0 J

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