How Does a Rubber Ball Bounce?

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SUMMARY

The discussion focuses on the physics of a rubber ball's bounce, specifically analyzing the forces and motion involved during its contact with the ground. Participants detail the motion diagram, identifying acceleration direction during compression and expansion phases. Key forces acting on the ball include normal force, weight, and spring force, with the net force being equal to the weight of the ball during contact. The conclusion emphasizes that the force exerted by the ground equals the weight of the ball, confirming Newton's third law of motion.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free-body diagrams
  • Knowledge of forces: normal force, weight, and spring force
  • Basic concepts of acceleration and velocity
NEXT STEPS
  • Study the principles of Newton's third law of motion
  • Learn how to construct and interpret free-body diagrams
  • Explore the relationship between force, mass, and acceleration using F=ma
  • Investigate the effects of elastic potential energy in bouncing objects
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of motion and forces in everyday objects.

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Homework Statement


A rubber ball bounces. We'd like to understand how the ball bounces. (Do this on paper. Your instructor may ask you to turn in this work.)
(a) A rubber ball has been dropped and is bouncing off the floor. Draw a motion diagram of the ball during the brief time interval that it is in contact with the floor. Show 4 or 5 frames as the ball compresses, then another 4 or 5 frames as it expands. What is the direction of 'a' during each of these parts of the motion? (b) Draw a picture of the ball in contact with the floor and identify all forces acting on the ball.

(c) Draw a free-body diagram of the ball during its contact with the ground. Is there a net force acting on the ball? If so, in which direction?

(d) During contact, is the force of the ground on the ball larger, smaller, or equal to the weight of the ball? Use your answers to parts a-c to explain your reasoning.




The Attempt at a Solution



I'm really here to check the answer that I got. I'm new to forces, and am wondering if certain forces are acting at certain times.

For a), I did 6 frames total. Three compressing the ball and three expanding it. I said that in the first three, the 'a' (which, is the 'a' with a vector symbol above it), is pointed down towards the floor and in the next three frames it points up instead.

b) Normal force, weight, and spring force are all acting upon the ball.

c) I said the net force is pointing down, is that right?

d) The force of the ground is equal to the weight of the ball. How would I use the first three to convey this?

Thank you!
 
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Hi Phoenixtears,

Phoenixtears said:

Homework Statement


A rubber ball bounces. We'd like to understand how the ball bounces. (Do this on paper. Your instructor may ask you to turn in this work.)
(a) A rubber ball has been dropped and is bouncing off the floor. Draw a motion diagram of the ball during the brief time interval that it is in contact with the floor. Show 4 or 5 frames as the ball compresses, then another 4 or 5 frames as it expands. What is the direction of 'a' during each of these parts of the motion? (b) Draw a picture of the ball in contact with the floor and identify all forces acting on the ball.

(c) Draw a free-body diagram of the ball during its contact with the ground. Is there a net force acting on the ball? If so, in which direction?

(d) During contact, is the force of the ground on the ball larger, smaller, or equal to the weight of the ball? Use your answers to parts a-c to explain your reasoning.




The Attempt at a Solution



I'm really here to check the answer that I got. I'm new to forces, and am wondering if certain forces are acting at certain times.

For a), I did 6 frames total. Three compressing the ball and three expanding it. I said that in the first three, the 'a' (which, is the 'a' with a vector symbol above it), is pointed down towards the floor and in the next three frames it points up instead.

When the ball is slowing down, the acceleration is in the opposite direction as the velocity. When the ball is speeding up, the acceleration is in the same direction as velocity. Do you see what need to be changed here?

b) Normal force, weight, and spring force are all acting upon the ball.

I'm a bit confused here; is there a spring also? (Was there a diagram in the problem that has this?) If it's just a ball bouncing on the floor, then there is just the force from the floor (the normal force) and the weight force.

c) I said the net force is pointing down, is that right?

How is the net force related to the total acceleration, in terms of directions?

d) The force of the ground is equal to the weight of the ball. How would I use the first three to convey this?

Do you see how to answer this last one now?
 

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