two horses pull horizon tally on ropes attached to a tree stump. Each horse pull
ID: 1330452 • Letter: T
Question
two horses pull horizon tally on ropes attached to a tree stump. Each horse pulls with a force of magnitude F. If the resultant force (Vector R) has the magnitude R=1.80 F, what is the angle in degrees between the two ropes? two horses pull horizon tally on ropes attached to a tree stump. Each horse pulls with a force of magnitude F. If the resultant force (Vector R) has the magnitude R=1.80 F, what is the angle in degrees between the two ropes? two horses pull horizon tally on ropes attached to a tree stump. Each horse pulls with a force of magnitude F. If the resultant force (Vector R) has the magnitude R=1.80 F, what is the angle in degrees between the two ropes?Explanation / Answer
Let theta is the angle between the two forces.
We know,
R = sqrt(F^2 + F^2 + 2*F*F*cos(theta))
R^2 = 2*F^2 + 2*F^2*cos(theta)
(1.8*F)^2 = 2*F^2 + 2*F^2*cos(theta)
3.24*F^2 = 2*F^2*(1 + cos(theta))
3.24 = 2 + 2*cos(theta)
cos(theta) = (3.24 - 2)/2
= 0.62
theta = cos^-1(0.62)
= 51.7 degrees
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