Beth, a construction worker, attempts to pull
a stake out of the ground by pulling on a rope
that is attached to the stake. The rope makes
an angle of 65.6
◦
with the horizontal.
If Beth exerts a force of 162.2 N on the
rope, what is the magnitude of the upward
component of the force acting on the stake
162*sin(65.6)
To find the magnitude of the upward component of the force acting on the stake, we can use trigonometry. Since Beth is pulling the stake at an angle of 65.6 degrees with the horizontal, we can break down the force she exerts into its vertical and horizontal components.
The vertical component of the force, also known as the upward component, can be found using the formula:
Upward Component = Force * sin(angle)
In this case, the force Beth exerts is 162.2 N, and the angle is 65.6 degrees. To calculate the upward component, we can substitute these values into the formula:
Upward Component = 162.2 N * sin(65.6◦)
Now, we can calculate the magnitude of the upward component of the force acting on the stake.