A ball moves in the direction of the arrow labeledin Figure. The ball is struck by a stick that briefly exerts a force on the ball in the direction of the arrow labeled. Which arrow best describes the direction of, the change in the ball's momentum?

Short Answer

Expert verified

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

Step by step solution

01

Understanding the action of force applied perpendicularly to 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

Representation of the situation diagrammatically

  • The body's motion is circular, 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 is depicted in the diagram below as,

03

Representation of an arrow describing the change in the ball’s momentum

  • The ball moves in the direction of, whereas the force moves in the direction of e.
  • As a result, the direction of acceleration is along, and the change in velocity direction is also along e .
  • The direction of change in velocity is the same as the change in momentum, as it is well known. As a result, momentum will flow in the direction of e .
  • As a result, the right direction of the ball's momentum changes is,e.

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Most popular questions from this chapter

A tennis ball has a mass of 0.057kg.A professional tennis player hits the ball hard enough to give it a speed of 50 m/s (about 120 mi/h). The ball hits a wall and bounces back with almost the same speed (50m/s). As indicated in Figure 2.55 , high-speed photography shows that the ball is crushed 2 cm (0.02 m) at the instant when its speed is moment0arily zero, before rebounding.

Making the very rough approximation that the large force that the wall exerts on the ball is approximately constant during contact, determine the approximate magnitude of this force. Hint: Think about the approximate amount of time it takes for the ball to come momentarily to rest. (For comparison note that the gravitational force on the ball is quite small, only about (0.057 kg) (9.8 N/kg) 0.6 N. A force of5N is approximately the same as a force of one pound.)

A ball of mass 0.4 kg flies through the air at low speed, so that air resistance is negligible.

(a) What is the net force acting on the ball while it is in motion?

(b) Which components of the ball's momentum will be changed by this force?

(c) What happens to the x component of the ball's momentum during its flight?

(d) What happens to the y component of the ball's momentum during its flight?

(e) What happens to the z component of the ball's momentum during its flight?

(f) In this situation, why is it legitimate to use the expression for average y component of velocity, vavg,x=(vix+vfx)2, to update the y component of position?

In the circuit shown in Figure 19.75, the emf of the battery is 7.9V. Resistor R1 has a resistance of 23Ω , and resistor R2 has a resistance of 44Ω . A steady current flows through the circuit. (a) What is the absolute value of the potential difference across R1? (b) What is the conventional current through R2?

Many heavy nuclei are “alpha emitters”: they emit an alpha particle, which is the historical name for the nucleus of a helium atom, which contains two protons. For example, a thorium nucleus containing 90 protons is an alpha-emitter. What element does thorium turn into as a result of emitting an alpha particle?

cart rolls with low friction on a track. A fan is mounted on the cart, and when the fan is turned on, there is a constant force acting on the cart. Three different experiments are performed:

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(b) Fan forward: The fan is turned on, and you hold the cart stationary. You then take your hand away, and the cart moves forward, in the +x direction. After traveling a long distance along the track, you quickly stop and hold the cart.

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