Basic Motion Graphs (velocity-time)

In summary, the question asks for the average net force acting on a ping-pong ball during a time interval from 12.35 s to 14.35 s. The ball has a mass of 0.0027 kg and is affected by both Earth's gravity and air resistance. The position of the ball at various times is given in a table. To find the average net force, we use the formula Fnet = P/t, where P is momentum and t is the time interval. However, using this method does not yield the correct answer.
  • #1
PolyFX
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Momentum & Net Force Question

Okay, so I got the previous question I asked and I had another new question to ask so rather than make a new topic and seem like I'm spamming the forums, I just decided to edit my original post. I just hope no one replies to my old post while I'm writing this one!

Homework Statement


A ping-pong ball whose mass is 0.0027 kg (2.7 g) is acted upon by the Earth and the air (there is air resistance, and there is also a strong wind). This table gives the position of the ball at several times:
Time Position

12.35 s < 3.17, 2.54, -9.38 > m
12.39 s < 3.25, 2.50, -9.40 > m
... ...
14.35 s < 10.17, -1.16, -10.40 > m
14.39 s < 10.37, -1.27, -10.42 > m


In the time interval from 12.35 s to 14.35 s, what was the average net force acting on the ball?

Homework Equations


Fnet = P/t where p is momentum and t is time interval
Fnet = -mg

The Attempt at a Solution



First I get the displacement by subracting the final position vector - initial position vector. I then divide that vector by the time interval (2 seconds) to get the average velocity. I use the formula p = mv to find the momentum.

I rearrange the formula p = fnet( t ) to isolate for fnet
so fnet = p/t.

However, with this method I do not get the right answer.
 
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  • #2
Okay, so I got the previous question I asked and I had another new question to ask so rather than make a new topic and seem like I'm spamming the forums, I just decided to edit my original post. I just hope no one replies to my old post while I'm writing this one!
 
  • #3


I would first clarify what is meant by "right answer" in this context. Are we looking for the magnitude of the net force, or the vector sum of all forces acting on the ball? Additionally, I would consider the fact that there is air resistance and a strong wind, which would affect the motion of the ball and therefore the net force acting on it.

To accurately calculate the net force, we would need to consider all the forces acting on the ball, including gravity, air resistance, and the force of the wind. This would require more information, such as the velocity of the wind and the magnitude of the air resistance force. Without this information, it would be difficult to accurately determine the net force acting on the ball.

In terms of the given data, we can calculate the average velocity and momentum of the ball, but this does not give us the net force. We would need to take into account the effects of air resistance and the wind to accurately determine the net force. Additionally, we would need to consider the direction of the net force, as it is a vector quantity.

In summary, to accurately determine the net force acting on the ball, we would need more information and would need to consider all the forces acting on the ball, not just its momentum and velocity.
 

FAQ: Basic Motion Graphs (velocity-time)

What is a velocity-time graph?

A velocity-time graph is a visual representation of an object's velocity (speed and direction) over a period of time. The horizontal axis represents time and the vertical axis represents velocity. The slope of the line on the graph indicates the object's acceleration.

How do you interpret a velocity-time graph?

The slope of a velocity-time graph represents the object's acceleration. A positive slope means the object is accelerating in the positive direction, while a negative slope means the object is accelerating in the negative direction. A horizontal line indicates constant velocity, and a vertical line indicates no velocity or a brief period of rest.

What is the difference between velocity and speed on a velocity-time graph?

Velocity is a vector quantity that includes both speed and direction, whereas speed is a scalar quantity that only measures the magnitude of an object's motion. On a velocity-time graph, the slope represents an object's velocity, while the distance between the line and the horizontal axis represents the object's speed.

How can you calculate displacement from a velocity-time graph?

To calculate displacement from a velocity-time graph, you can use the area under the line. This can be done by breaking the graph into smaller sections and calculating the area of each section, then adding them together. The result will be the total displacement of the object.

What are some common shapes of velocity-time graphs and their meanings?

A straight horizontal line indicates constant velocity, a straight diagonal line indicates constant acceleration, a curved line indicates changing acceleration, a steep slope indicates high acceleration, and a flat slope indicates low acceleration or no acceleration. A horizontal line with a sudden change in slope indicates a change in direction.

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