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Seventh of nine questions.

I'm using screen shots to ensure you see what I see.

All answers are integers in the range 0 to 9.

Where required, assume g=9.81

Impulse (J) is change in momentum, so you have:

J = m v2 - m v1

The mass m has not changed, and you know v1 and |J| and the direction of v2.

You end up with:

|J|^2 = m^2 |v2|^2 - m^2 |v1|^2

This is because v1 and v2 are perpendicular (they are essentially just the the x- and y-coordinates of J).

This gives |v2| = 33.2465, and thus if you want the angle, you have:

tan(θ) = |v2|/|v1|, giving θ = 1.09812 radians

I suspect they want degrees, and that measure is 62.9179 degrees.

So I suppose "j" is 6-2=4.

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