Calculating the Average Force of a Weather Balloon on an Airplane

AI Thread Summary
To calculate the average force exerted by the weather balloon on the airplane, the change in momentum must be determined, considering the airplane's initial speed of 225 m/s and the balloon's mass of 1.82 kg. The collision time interval is given as 4.44 x 10^-3 seconds. The average force can be calculated using the formula: force equals the change in momentum divided by the time interval. The discussion includes multiple-choice answers for the average force, indicating a range of potential results. Clarification on the time interval and the need for the correct formula is emphasized for solving the problem.
maylilla
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Homework Statement



An Airplane is traveling at 225 m/s when it strikes a weather balloon (m=1.82 kg) which can be considered to..?
be at the rest relative to the ground below. After the collision, the balloon is caught on the fuselage and is traveling with the airplane. The collision takes place over a time interval of 4.44 x 10-3 N. What is the average force that the balloon exerts on the airplane?


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maylilla said:

Homework Statement



An Airplane is traveling at 225 m/s when it strikes a weather balloon (m=1.82 kg) which can be considered to..?
be at the rest relative to the ground below. After the collision, the balloon is caught on the fuselage and is traveling with the airplane. The collision takes place over a time interval of 4.44 x 10-3 N. What is the average force that the balloon exerts on the airplane?

Is that all the data given?
4.44 x 10-3 is seconds, right?

This looks like change in momentum problem.
 
Yes that is the only info available and the following are the answers to choose from:

a. 415 N
b. 2.78 x 104 N
c. 922 x 104 N
d. 4.61 x 105 N
e. 5.07 x 106 N

I just need help finding the formula that I need to use. Thanks for trying to help!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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