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A 7.0-kg rock is subject to a variable force given by the equation F(x)= 6.0 N - (2.0 N/m)x + (6.0 N/m2)x2 If the rock initially is at rest at the origin,find its speed when it has moved 9.0 m.

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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

F) All of the above
G) None of the above

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The coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface.For an object with a coefficient of 0.78,what fraction of the object's kinetic energy is lost during a single collision?


A) 39%
B) 16%
C) 47%
D) 61%

E) A) and C)
F) B) and C)

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An unusual spring has a restoring force of magnitude An unusual spring has a restoring force of magnitude ,where x is the stretch of the spring from its equilibrium length.A 3.00-kg object is attached to this spring and released from rest after stretching the spring 1.50 m.If the object slides over a frictionless horizontal surface,how fast is it moving when the spring returns to its equilibrium length? A) 2.06 m/s B) 4.33 m/s C) 3.27 m/s D) 5.48 m/s E) 1.50 m/s ,where x is the stretch of the spring from its equilibrium length.A 3.00-kg object is attached to this spring and released from rest after stretching the spring 1.50 m.If the object slides over a frictionless horizontal surface,how fast is it moving when the spring returns to its equilibrium length?


A) 2.06 m/s
B) 4.33 m/s
C) 3.27 m/s
D) 5.48 m/s
E) 1.50 m/s

F) A) and D)
G) C) and D)

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A person pushes horizontally on a heavy box and slides it across the level floor at constant velocity.The person pushes with a 60.0 N force for the first A person pushes horizontally on a heavy box and slides it across the level floor at constant velocity.The person pushes with a 60.0 N force for the first at which time he begins to tire.The force he exerts then starts to decrease linearly from 60.0 N to 0.00 N across the remaining How much total work did the person do on the box? A) 619 J B) 826 J C) 495 J D) 925 J at which time he begins to tire.The force he exerts then starts to decrease linearly from 60.0 N to 0.00 N across the remaining A person pushes horizontally on a heavy box and slides it across the level floor at constant velocity.The person pushes with a 60.0 N force for the first at which time he begins to tire.The force he exerts then starts to decrease linearly from 60.0 N to 0.00 N across the remaining How much total work did the person do on the box? A) 619 J B) 826 J C) 495 J D) 925 J How much total work did the person do on the box?


A) 619 J
B) 826 J
C) 495 J
D) 925 J

E) C) and D)
F) B) and D)

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You carry a 7.0 kg bag of groceries You carry a 7.0 kg bag of groceries above the level floor at a constant velocity of 75 cm/s across a room that is room.How much work do you do on the bag in the process? A) 0.0 J B) 82 J C) 158 J D) 134 J above the level floor at a constant velocity of 75 cm/s across a room that is You carry a 7.0 kg bag of groceries above the level floor at a constant velocity of 75 cm/s across a room that is room.How much work do you do on the bag in the process? A) 0.0 J B) 82 J C) 158 J D) 134 J room.How much work do you do on the bag in the process?


A) 0.0 J
B) 82 J
C) 158 J
D) 134 J

E) All of the above
F) A) and C)

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In the figure,two identical springs have unstretched lengths of 0.25 m and spring constants of 300 N/m.The springs are attached to a small cube and stretched to a length L of 0.36 m as in Figure A.An external force P pulls the cube a distance In the figure,two identical springs have unstretched lengths of 0.25 m and spring constants of 300 N/m.The springs are attached to a small cube and stretched to a length L of 0.36 m as in Figure A.An external force P pulls the cube a distance to the right and holds it there.(See Figure B.) The work done by the external force P in pulling the cube is closest to A) 0.12 J. B) 0.060 J. C) 6.0 J. D) 12 J. E) 0.80 J. to the right and holds it there.(See Figure B.) The work done by the external force P in pulling the cube In the figure,two identical springs have unstretched lengths of 0.25 m and spring constants of 300 N/m.The springs are attached to a small cube and stretched to a length L of 0.36 m as in Figure A.An external force P pulls the cube a distance to the right and holds it there.(See Figure B.) The work done by the external force P in pulling the cube is closest to A) 0.12 J. B) 0.060 J. C) 6.0 J. D) 12 J. E) 0.80 J. is closest to In the figure,two identical springs have unstretched lengths of 0.25 m and spring constants of 300 N/m.The springs are attached to a small cube and stretched to a length L of 0.36 m as in Figure A.An external force P pulls the cube a distance to the right and holds it there.(See Figure B.) The work done by the external force P in pulling the cube is closest to A) 0.12 J. B) 0.060 J. C) 6.0 J. D) 12 J. E) 0.80 J.


A) 0.12 J.
B) 0.060 J.
C) 6.0 J.
D) 12 J.
E) 0.80 J.

F) C) and D)
G) All of the above

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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

E) B) and C)
F) None of the above

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The work performed as a function of time for a process is given by The work performed as a function of time for a process is given by where What is the instantaneous power output at A) 99 W B) 69 W C) 138 W D) 207 W where The work performed as a function of time for a process is given by where What is the instantaneous power output at A) 99 W B) 69 W C) 138 W D) 207 W What is the instantaneous power output at The work performed as a function of time for a process is given by where What is the instantaneous power output at A) 99 W B) 69 W C) 138 W D) 207 W


A) 99 W
B) 69 W
C) 138 W
D) 207 W

E) A) and B)
F) None of the above

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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 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 to .(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 to 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 to .(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 .(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 to .(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

F) C) and D)
G) A) and D)

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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

E) A) and B)
F) A) and C)

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In the figure,a 700-kg crate is on a rough surface inclined at 30°.A constant external force In the figure,a 700-kg crate is on a rough surface inclined at 30°.A constant external force is applied horizontally to the crate.As the force pushes the crate a distance of 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 is applied horizontally to the crate.As the force pushes the crate a distance of In the figure,a 700-kg crate is on a rough surface inclined at 30°.A constant external force is applied horizontally to the crate.As the force pushes the crate a distance of 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 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 is applied horizontally to the crate.As the force pushes the crate a distance of 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

F) C) and D)
G) A) and C)

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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.

F) All of the above
G) B) and E)

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An airplane flies 120 km at a constant altitude in a direction 30.0° north of east.A wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kN in a direction 10.0° south of west.How much work is done on the plane by the air?


A) -2.71 × 108 J
B) -0.985 × 108 J
C) -221 × 108 J
D) 221 × 108 J
E) 0.821 × 108 J

F) B) and C)
G) None of the above

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A 4.0-kg object is moving with speed 2.0 m/s.A 1.0-kg object is moving with speed A 4.0-kg object is moving with speed 2.0 m/s.A 1.0-kg object is moving with speed Both objects encounter the same constant braking force,and are brought to rest.Which object travels the greater distance before stopping? A) the 4.0-kg object B) the 1.0-kg object C) Both objects travel the same distance. D) It is impossible to know without knowing how long each force acts. Both objects encounter the same constant braking force,and are brought to rest.Which object travels the greater distance before stopping?


A) the 4.0-kg object
B) the 1.0-kg object
C) Both objects travel the same distance.
D) It is impossible to know without knowing how long each force acts.

E) B) and C)
F) A) and C)

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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 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 to .(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 to 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 to .(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 .(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 to .(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

F) A) and C)
G) A) and D)

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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 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 ,what will its speed be when it reaches ? (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 ,what will its speed be when it reaches 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 ,what will its speed be when it reaches ? (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 ? (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 ,what will its speed be when it reaches ? (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

F) A) and E)
G) A) and D)

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Which of the graphs in the figure represents a spring that gets less stiff the more it is stretched? Which of the graphs in the figure represents a spring that gets less stiff the more it is stretched? A) Graph a B) Graph b C) Graph c D) Graph d


A) Graph a
B) Graph b
C) Graph c
D) Graph d

E) None of the above
F) A) and B)

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A 5.00-kg box slides 4.00 m across the floor before coming to rest.What is the coefficient of kinetic friction between the floor and the box if the box had an initial speed of 3.00 m/s?


A) 1.13
B) 0.587
C) 0.115
D) 0.229
E) 0.267

F) C) and D)
G) B) and C)

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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 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 and ,as shown.The springs are ideal and massless,and the linear speed of block B is .If the spring constant of spring 1 is equal to ,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. and 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 and ,as shown.The springs are ideal and massless,and the linear speed of block B is .If the spring constant of spring 1 is equal to ,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. ,as shown.The springs are ideal and massless,and the linear speed of block B is 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 and ,as shown.The springs are ideal and massless,and the linear speed of block B is .If the spring constant of spring 1 is equal to ,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. .If the spring constant of spring 1 is equal 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 and ,as shown.The springs are ideal and massless,and the linear speed of block B is .If the spring constant of spring 1 is equal to ,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. ,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 and ,as shown.The springs are ideal and massless,and the linear speed of block B is .If the spring constant of spring 1 is equal to ,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.

F) B) and C)
G) A) and C)

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