Impulse and Momentum of a force on a ball

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Homework Help Overview

The discussion revolves around impulse and momentum, specifically focusing on a scenario involving a force acting on a ball and the effects of a bat hitting a baseball. The original poster presents two problems: one involving the calculation of impulse from a force-time graph and another concerning the mass of a baseball after an impulse is applied.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to estimate the impulse from a force-time graph but expresses uncertainty about the necessary calculations and the timing of the maximum force. They also indicate a lack of direction for the second problem regarding the mass of the baseball.
  • Some participants suggest drawing a diagram to clarify the force over time and mention that the integral of force with respect to time relates to the area under the curve.
  • Another participant proposes using the impulse-momentum relationship to set up an equation for the mass of the baseball.

Discussion Status

The discussion shows some progress, with participants providing guidance on visualizing the force-time relationship and suggesting relevant equations. However, there is no explicit consensus on the methods to be used, and the original poster still expresses uncertainty about their approach.

Contextual Notes

The original poster notes a requirement for the impulse calculation to have an error margin of no more than 25%, which may influence their approach. Additionally, there is a hint provided that suggests avoiding a direct application of the impulse formula.

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Homework Statement


1. The force shown in the figure below is the net eastward force acting on a ball. The force starts rising at t=0.012 s, falls back to zero at t=0.062 s, and reaches a maximum force of 35 N at the peak. Determine with an error no bigger than 25% (high or low) the magnitude of the impulse (in N-s) delivered to the ball. Hint: Do not use J = FΔt. Look at the figure. Find the area of a nearly equally sized triangle. [Figure attached.]

2. A bat hits a moving baseball. If the bat delivers a net eastward impulse of 0.6 N-s and the ball starts with an initial horizontal velocity of 3.8 m/s to the west and leaves with a 4.2 m/s velocity to the east, what is the mass of the ball (in grams)?


Homework Equations


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The Attempt at a Solution


1. Since I don't know the equation of the line, I can't take the integral of F(t) from (tf) to (ti). And I don't know at what time F=35 N, so I can't make an accurate estimate of the area underneath the line.

2. I have no clue where to even begin.
 

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draw a picture of the force with time - you should be able to work out 3 points from the info given...

the integral of F.dt is effectivley calculating the are under the curve of F against t

2. impulse = cahnge of momentum write down the equations & what you know
 
1. Got it!

2. 0.6=4.2m-(-3.8)m and solve for m. Right?
 
looking good to me
 

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