A box is dragged with a force of 115 N up a ramp a distance of 3 m. If the force makes an angle of 35 degrees with the ramp and the ramp makes an angle of 20 degrees with the ground, how much work is done?
This is what I have so far:
W = F * D * cos Theta
=(115) (3) (cos 55)**
** Is cos55 correct?
To determine if cos 55 is correct, we need to consider the angles involved in the problem and their relationship.
In this case, the force of 115 N makes an angle of 35 degrees with the ramp, and the ramp makes an angle of 20 degrees with the ground. To find the correct angle for cosine, we need to find the angle between the force vector and the displacement vector.
Let's break it down step by step:
1. The force vector makes an angle of 35 degrees with the ramp.
2. The ramp makes an angle of 20 degrees with the ground.
3. The angle between the force vector and the displacement vector is the sum of these two angles.
So, to find the correct angle for cosine, we add the two angles together:
Angle = 35 degrees + 20 degrees = 55 degrees
Therefore, cos 55 is indeed the correct value for finding the work done. You can proceed as follows:
W = F * D * cos Theta
W = 115 N * 3 m * cos 55 degrees