Steel Ball Collision: Calculating Velocity and Direction

AI Thread Summary
A 2.0 kg steel ball moving at 5.0 m/s [W] collides with a stationary ball of equal mass, resulting in the first ball being deflected [N35W] at 3.0 m/s. The total momentum of both balls before the collision is zero in the [NS] axis, indicating it must also be zero after the collision. The angle between the velocities of the two balls post-collision is 90 degrees due to their equal masses. To solve for the second ball's velocity, one must apply the conservation of momentum equations for both the [NS] and [WE] axes. The original poster eventually resolved their confusion after realizing a calculation error.
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1) A 2.0 kg steel ball rolling at 5.0 m/s [W] strikes a second steel ball of equal mass at rest. After a the collison, the first ball is deflected [N35W] at 3.0 m/s. Determine the velocity (and direction) of the second ball. (the answer in the back of the book is 4.1 m/s [s37w], but i got something different) thanks!
 
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What is the total momentum of the two balls before the collision, in the [NS] axis? Zero. So what should be the total momentum of the two balls after the collision along the same axis? Zero as well. So you have one equation, for the conservation of momentum in the [NS] axis, with one unknown - the velocity of the second ball after the collision. (In case this is what you are missing, the angle between the velocities of the two balls after the collision is 90 degreesm, because the masses of the balls are equal. If you cannot use this piece of information, or need to prove it first, just write down the equation for the conversation of momentum in the second axis, [WE], and introduce another variable into your equations - the angle of the velocity of the second ball.)
 
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i still don't understand how they got that answer! help please? thank you..
 
You say you got something different? Let's see what you did! That way we're not all reinventing the wheel.

cookiemonster
 
nevermind...i finally got it...i was making the most stupid mistake..
 
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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