The Average Force Exerted on the Ball

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SUMMARY

The average force exerted on a 1.83 kg steel ball striking a wall at 4.08 m/s and an angle of 67.6° is calculated using the formula F = ΔP/Δt. The initial attempt incorrectly used the cosine of the angle, but the correct approach involves using the sine function due to the angle's orientation with respect to the wall. The final calculation yields an average force of approximately 7.93 N when using the correct angle adjustment and time of contact of 0.105 seconds.

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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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