What's 47342.6653106 to 1 decimal place
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Magnitude of the momentum of this system just after the collision = 19.2Kgm/s
<h3>What is law of conservation of momentum?</h3>Law of conservation of momentum states that the total momentum after the collision must be equal to the total momentum before the collision.
The momentum of each ball is given by:
p = mv
where m is the mass of the ball and v its velocity.
The momentum of ball 1 is:
p = mv
= (3.0 kg)(4.0 m/s)
= 12.0 kg m/s in the eastward direction
The momentum of ball 2 is:
p = mv
= (5.0 kg)(3.0 m/s)
= 15.0 kg m/s in the northward direction
The two momenta are in perpendicular directions, so the magnitude of the total momentum can be found as:
and due to the law of conservation of the momentum, this is also equal to the total momentum after the collision.
To learn more about law of conservation of momentum from the given link
#SPJ4
but.. which is it, the positive or negative version of "b"? well.... we know tangent is < 0, that's another way of saying, tangent is negative
now.. .tangent is opposite over adjacent... for tangent to be negative, the sign of those two must differ
so.. where does that happens? well, it happens on the 2nd and 4th quadrants, so..... which quadrant then?
well, we know the hypotenuse is always positive, is just the radius anyway, and in this case is 6
but the adjacent is positive 5, that means the adjacent is positive, thus the opposite must be negative, and that happens on the 4th quadrant
so that means
so... now, you have all three sides, the hypotenuse, the adjacent, and the opposite, so, just fill those in, in the ratios for cosine, sine and tangent