The Average Force Exerted on the Ball

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Homework Help Overview

The problem involves a steel ball colliding with a wall, focusing on calculating the average force exerted on the ball during the collision. The context includes concepts from dynamics and momentum.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the average force using the change in momentum and the time of contact. Some participants question the use of the cosine function for the angle, suggesting a need to reconsider the angle's relation to the wall.

Discussion Status

The discussion is ongoing, with participants providing feedback on the original poster's approach. There is a suggestion to adjust the calculation based on the correct interpretation of the angle.

Contextual Notes

There is a mention of the original poster's calculator being set to radians, which may have affected their initial calculations.

Tavia15
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Homework Statement



A 1.83 kg steel ball strikes a massive wall at
4.08 m/s at an angle of 67.6◦ with the plane of
the wall. It bounces off with the same speed
and angle. If the ball is in contact with the wall for
0.105 s , what is the magnitude of average
force exerted on the ball by the wall? Answer
in units of N.

Homework Equations



F= ΔP/Δt
J_y=ΔP=0
J_x=ΔP=P_f - P_i

The Attempt at a Solution



I solved for the ΔP in the x direction, and divided that by the time they gave me.

F= (2*m*v*cos(theta))/Δt
F= (2*1.83*4.08*cos(67.6))/.105 = 7.92562
 
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nevermind.. I had my calculator in radians...
 
Hi Tavia15, welcome to PF.
The angle is with the plane of the wall.
So you have to replace cosθ by sinθ.
 
Thank you:)
 

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