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 49� with the horizontal.
If Beth exerts a force of 148 N on the rope,
what is the magnitude of the upward compo-
nent of the force acting on the stake?
Answer in units of N.
148 sin(49 degrees) = ___
You can do this stuff.
I get -141.155?
To find the magnitude of the upward component of the force acting on the stake, we need to determine the vertical component of the force exerted by Beth on the rope.
First, let's break down the force into horizontal and vertical components. We can use trigonometry to find these components.
The vertical component can be found by taking the sine of the angle between the force and the horizontal:
Vertical component = Force * sin(angle)
In this case, the force exerted by Beth on the rope is 148 N, and the angle is 49 degrees.
Vertical component = 148 N * sin(49 degrees)
Vertical component ≈ 148 N * 0.755
Therefore, the magnitude of the upward component of the force acting on the stake is approximately 111.44 N.