What is the net external force acting on an apple as it falls to the groune with a force of 9.32 N and experiences a horizontal wind force of 1.51 N.

Expert Answers
mwmovr40 eNotes educator| Certified Educator

Taking downward to be negative and to the right being positive.

The two vectors given represent the legs of a right triangle.  The net force will be the hypotenuse of the triangle.  The magnitude can be determined by the Pythagorian Theorem and the angle from the inv. Tangent

Fnet = sqrt(1.51^2 + 9.32^2)N = 9.44 N

theta = invTan(-9.32/1.51) = -80.8 degrees.

Fnet = 9.44N at 80.8 degrees below the horizon.

 

happyface23 | Student

also. . . What is the direction of the net external force on the apple (measured from the downward vertical, so that the angle to the right of downward is positive)?

Answer in units of ◦