Is the ball's speed increasing?

If the force is in the opposite direction of the velocity, it will cause the speed to decrease. So in summary, at the given instant, the ball's speed is increasing as both the momentum and net force are in the same direction (positive x direction). However, if the force were pointed straight down instead, the ball's speed would be decreasing as the force would be in the opposite direction of the velocity.
  • #1
Westin
87
0

Homework Statement



The figure below shows a moving ball, its momentum, and the net force acting on it an instant in time.

At this instant, the ball's speed is:

1) not changing [/B]
2) decreasing
3) increasing

Homework Equations



None.

The Attempt at a Solution



My guess would be that the balls speed is increasing since the force and change of momentum both go towards + x direction but I'm not totally sure, any help?[/B]
 

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  • #2
Correct, but you could formalise your answer a bit. It is possible that the momentum and force both have positive components in the x direction and have decreasing speed. The real issue is about the angle between the force and momentum vectors.
 
  • #3
Orodruin said:
Correct, but you could formalise your answer a bit. It is possible that the momentum and force both have positive components in the x direction and have decreasing speed. The real issue is about the angle between the force and momentum vectors.

That makes sense, if the force was pointed straight down instead, would the ball's speed then be slowing down?
 
Last edited:
  • #4
Westin said:
That makes sense, if the force was pointed straight down instead, would the ball's speed then be slowing down?
Given the same momentum, yes.
 

Related to Is the ball's speed increasing?

1. What factors affect the speed of a ball?

The speed of a ball can be affected by several factors, such as the initial force applied, the surface it is rolling on, and the presence of any external forces like friction or air resistance.

2. Does the weight of the ball impact its speed?

Yes, the weight of a ball can impact its speed. Heavier balls require more force to move and may have a slower initial speed, while lighter balls may have a faster initial speed.

3. Can the speed of a ball change during its motion?

Yes, the speed of a ball can change during its motion. This is due to the presence of external forces like friction and air resistance, which can slow down or speed up the ball.

4. How does the incline of a surface affect the speed of a rolling ball?

The incline of a surface can impact the speed of a rolling ball. If the surface is sloped upward, the ball may slow down due to the force of gravity pulling it back. On the other hand, if the surface is sloped downward, the ball may speed up due to the force of gravity pulling it forward.

5. Is the speed of a ball always increasing?

No, the speed of a ball is not always increasing. If there is no additional force being applied, the ball will eventually reach a maximum speed or stop moving altogether due to the presence of external forces like friction and air resistance.

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