What is the magnitude of the resultant force and the direction of the force

User Generated

natrycbbu

Science

Description

Sue and Jenny kick a soccer ball at exactly the same time. Sue’s foot exerts a force of 71.8 N to the north. Jenny’s foot exerts a force of 99.4 N to the east. What is the magnitude of the resultant force on the ball and the direction from the east

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Explanation & Answer

The resultant force is the hypotenuse of the right triangle formed by the vertical and horizontal forces.

Therefore we use Pythagorean's formula to solve:

Resultant force = sqrt(71.8^2 + 99.4^2) = 122.62 N

The angle formed between the resultant force and the east force is found as follows:

tan x = 71.8 / 99.4 = .722

x = arctan(.722) = 35.84 degrees



Anonymous
I was having a hard time with this subject, and this was a great help.

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