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Three boxes rest side-by-side on a smooth, horizontal floor. Their masses are 5.0-kg, 3.0-kg, and 2.0-kg, with the 3.0-kg mass in the center. A force of 50 N pushes on the 5.0-kg mass, which pushes against the other two masses. (a) Draw the free-body diagrams for each of the masses. (b) What is the contact force between the 5.0-kg mass and the 3.0-kg mass? (c) What is the contact force between the 3.0-kg and the 2.0-kg mass?

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(a) The following forces act on the 5.0-...

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A force is required to keep an object moving along a horizontal line.

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FIGURE 4-2 FIGURE 4-2 -Compare the two situations shown in Fig. 4-2. On the left (A) , James is holding the rope and keeping the bucket at rest. On the right (B) , James ties the rope to the bucket so that it keeps the bucket at rest. In both cases the bucket contains the same quantity of water. In what case is the tension in the rope lower? A) right B) left C) It is the same in both cases. D) need more data to answer -Compare the two situations shown in Fig. 4-2. On the left (A) , James is holding the rope and keeping the bucket at rest. On the right (B) , James ties the rope to the bucket so that it keeps the bucket at rest. In both cases the bucket contains the same quantity of water. In what case is the tension in the rope lower?


A) right
B) left
C) It is the same in both cases.
D) need more data to answer

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Object A is acted on by only object B. The mass of object A is 20.0 kg and its acceleration is 4.00 m/s2 west. Object B is acted on by two forces, the force of object A on object B and another unknown force. If mass of object B is 40.0 kg and the acceleration of object B is 3.00 m/s2 west, what is the unknown force?


A) 40 N west
B) 120 N west
C) 80 N east
D) 200 N west
E) 80 N west

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FIGURE 4-9 FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>) -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object?


A) (1.67 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>) - (0.333 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>)
B) (5.00 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>) + (1.00 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>)
C) (1.67 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>) + (2.333 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>)
D) (15.0 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>) + (3.00 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>)
E) (1.67 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>) + (0.333 m/s2) FIGURE 4-9 -The two forces indicated in Fig. 4-9 act on a 3.00-kg object. What is the acceleration of the object? A) (1.67 m/s<sup>2</sup>) - (0.333 m/s<sup>2</sup>) B) (5.00 m/s<sup>2</sup>) + (1.00 m/s<sup>2</sup>) C) (1.67 m/s<sup>2</sup>) + (2.333 m/s<sup>2</sup>) D) (15.0 m/s<sup>2</sup>) + (3.00 m/s<sup>2</sup>) E) (1.67 m/s<sup>2</sup>) + (0.333 m/s<sup>2</sup>)

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A block of mass M slides down a frictionless plane inclined at an angle θ with the horizontal. The normal reaction force exerted by the plane on the block is


A) Mg.
B) Mg sin θ.
C) Mg cos θ.
D) Mg tan θ.
E) zero, since the plane is frictionless.

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A block lies on a smooth inclined plane tilted at an angle of 35° to the horizontal. (a) Draw the free-body diagram for the block. (b) Determine the block's acceleration as it slides down the inclined plane. (c) If the block started from rest 8.5 m up the incline from its base, determine the block's speed when it reaches the bottom of the incline. (d) How long did it take the block to reach the bottom of the inclined plane?

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(a) The block is acted on by t...

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FIGURE 4-13 FIGURE 4-13 -An object is on a frictionless inclined plane. The plane is inclined at an angle of 30° with the horizontal. What is the object's acceleration? A) 0.50 g B) 0.56 g C) 0.68 g D) 0.87 g E) 1.0 g -An object is on a frictionless inclined plane. The plane is inclined at an angle of 30° with the horizontal. What is the object's acceleration?


A) 0.50 g
B) 0.56 g
C) 0.68 g
D) 0.87 g
E) 1.0 g

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An ideal pulley changes the direction of the tension in a string without changing its magnitude.

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Weight and normal force are action-reaction pairs.

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FIGURE 4-8 FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate?


A) 7.0 N FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N + 2.0 N
FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N
B) 1.0 N FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N - 5.0 N
FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N
C) 3.0 N FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N + 4.0 N
FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N
D) -1.0 N FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N + 5.0 N
FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N
E) 3.0 N FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N - 4.0 N
FIGURE 4-8 -The three forces represented in Fig. 4-8 act on an object. What fourth force must act on the object so that the object does not accelerate? A) 7.0 N + 2.0 N B) 1.0 N - 5.0 N C) 3.0 N + 4.0 N D) -1.0 N + 5.0 N E) 3.0 N - 4.0 N

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Your bat hits the ball pitched to you with a 1500-N instantaneous force. The ball hits the bat with an instantaneous force, whose magnitude is


A) somewhat less than 1500 N.
B) somewhat greater than 1500 N.
C) exactly equal to 1500 N.
D) essentially zero.

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A block lies on a horizontal frictionless surface. A horizontal force of 100 N is applied to the block giving rise to an acceleration of 3 m/s2. (a) Determine the mass of the block. (b) Calculate the distance the block will travel is the force is applied for 10 s. (c) Calculate the speed of the block after the force has been applied for 10 s.

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(a) 33 kg
...

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A 1.0-kg object is moving with a constant velocity 2.0 m/s toward the north. There are two forces acting on the object. One of the forces is 2.0 N north. The other force is ________


A) 1.0 N north.
B) 3.0 N north.
C) 2.0 N south.
D) 2.0 N north.
E) 0.

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The acceleration of an object depends only on the object's mass.

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You try to pull an object by tugging on a rope attached to the object with a force You try to pull an object by tugging on a rope attached to the object with a force . The object does not move at all. What does this imply? A) There are no other forces acting on the object. B) The inertia of the object prevents it from accelerating. C) The object has reached its natural state of rest and can no longer be set into motion. D) The rope is not transmitting the force to the object. E) There are also one or more other forces that act on the object with a sum - . . The object does not move at all. What does this imply?


A) There are no other forces acting on the object.
B) The inertia of the object prevents it from accelerating.
C) The object has reached its natural state of rest and can no longer be set into motion.
D) The rope is not transmitting the force to the object.
E) There are also one or more other forces that act on the object with a sum - You try to pull an object by tugging on a rope attached to the object with a force . The object does not move at all. What does this imply? A) There are no other forces acting on the object. B) The inertia of the object prevents it from accelerating. C) The object has reached its natural state of rest and can no longer be set into motion. D) The rope is not transmitting the force to the object. E) There are also one or more other forces that act on the object with a sum - . .

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A student pulls a box of books on a smooth horizontal floor with a force of 100 N in a direction of 37.0° above the horizontal. The mass of the box and the books is 40.0 kg. (a) Draw the free-body diagram for the box. (b) Calculate the acceleration of the box. (c) Calculate the normal force acting on the box.

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FIGURE 4-13 FIGURE 4-13 -A traffic light of weight 100 N is supported by two ropes as shown in Fig. 4-13. What are the tensions in the ropes? A) 50 N B) 56 N C) 63 N D) 66 N E) 83 N -A traffic light of weight 100 N is supported by two ropes as shown in Fig. 4-13. What are the tensions in the ropes?


A) 50 N
B) 56 N
C) 63 N
D) 66 N
E) 83 N

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The force you exert on Earth is insignificant compared to the force Earth exerts on you.

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If you exert a force F on an object, the force which the object exerts on you will


A) depend on whether or not the object is moving.
B) depend on whether or not you are moving.
C) depend on your mass.
D) depend on the object's mass.
E) always be -F.

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