Question

What is the resultant force acting on a ball thrown up with a force of 10 N when the wind is blowing westward with a force of 5 N?

Answer 1

11.2 N, 63.4 degrees up of west

Answer 2

11.2 N, 63.4 degrees up of west

Step-by-step explanation:

The two forces (upward, 10 N, and westward, 5 N) are acting perpendicular to each other. This means that we can find the magnitude of the resultant force by using Pythagorean's theorem:

`R=√((10 N)^2+(5 N)^2)=11.2 N`

The direction of the resultant force instead is given by

`tan \theta = (F_(upward))/(F_(westward))=(10 N)/(5 N)=2\\\theta = tan^(-1)(2)=63.4^(\circ)`

with the angle measured with respect the west direction.