ue and Jenny kick a soccer ball at exactly the same time. Sue’s foot exerts a force of 74.8 N to the north. Jenny’s foot exerts a force of 88.1 N to the east. a) What is the magnitude of the resultant force on the ball? Answer in units of N. b) What is the direction of the resultant force (measured from East)? Answer in units of ◦.

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Jun 2nd, 2015

If you draw the vectors in a x-y coordinate system and the tail of these vectors at the origin, then, making North your positive y-axis and east your negative x-axis,

the magnitude is the square root of the sum of the squares of these vectors:

Magnitude F = ( (Fx)^2 + (Fy)^2 )^(1/2)

F = ( (-88.1)^2 + (74.8)^2) ^(1/2)

F = 115.57 N

the angle of the direction would be

angle = arctan (Fy / -Fx)

angle = 1.14 degrees measured from the negative x-axis or east.