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Chapter 2: Q2-7 (page 82)

A ball moves in the direction of the arrow labelled cin Figure 2.53The ball is struck by a stick that briefly exerts a force on the ball in the direction of the arrow labelled e. Which arrow best describes the direction of 鈭�p, the change in the ball's momentum?

Short Answer

Expert verified

The correct direction of the ball's momentum change is e.

Step by step solution

01

Action of force applied perpendicularly on a moving object

When a body moves in a specific direction at a specific velocity and an external force acts on it in a perpendicular direction to its motion, the body's speed remains constant but its direction of motion changes.

02

Represent the situation diagrammatically

  • The body's motion is circular in this case, and the velocity vector is always tangential to the circular path on which it moves.

  • In this example, a force acted on the body in an inward direction, which is responsible for the body's circular trajectory.

  • The direction of velocity change is the same as the direction of momentum change.

  • The force applied by the stick and the ball's initial velocity are depicted in the diagram below.

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Most popular questions from this chapter

(1)You push on a spring whose stiffness is 11 N/m, compressing it until it is 2.5 cm shorter than its relaxed length. What is the magnitude of the force the spring now exerts on your hand?

(2) A different spring is 0.17 m long when it is relaxed.

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Two metal rods are made of different elements. The interatomic spring stiffness of element A is three times larger than the interatomic spring stiffness for element B. The mass of an atom of element A is three times greater than the mass of an atom of element B. The atomic diameters are approximately the same for A and B. What is the ratio of the speed of sound in rod A to the speed of sound in rod B?

Apply the general results obtained in the full analysis of motion under the influence of a constant force in Section 2.5 to answer the following questions. You hold a small metal ball of mass m a height h above the floor. You let go, and the ball falls to the floor. Choose the origin of the coordinate system to be on the floor where the ball hits, with y up as usual. Just after release, what are yi and vyi? Just before hitting the floor, what is yf? How much time 鈭唗 does it take for the ball to fall? What is vfy just before hitting the floor? Express all results in terms of m, g, and h. How would your results change if the ball had twice the mass?

A certain capacitor has rectangular plates 59 cmby 33cm, and the gap width is role="math" localid="1662140429408" 0.27mm. If the gap is filled with a material; whose dielectric constant is 2.9, what is the capacitance of this capacitor?

Question: Because the change of the momentum is equal to the net impulse, the relationship of momentum itself to the net force is somewhat indirect, as can be seen in this question. An object is initially moving in the + x direction with a magnitude of momentum P , with a net force of magnitude F acting on the object in either the + x or - x direction. After a very short time, say whether the magnitude of the momentum increases, decreases, or stays the same in each of the following situations:

a) the net force acts in the + x direction and is F constant.

b) the net force acts in the + x direction and is F increasing.

c) the net force acts in the + x direction and is F decreasing.

d) the net force acts in the - x direction and is F constant.

e) the net force acts in the - x direction and is F increasing.

f) the net force acts in the - x direction and is F decreasing.
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