A wagon is being pulled with the handle of wagon that makes a 29 degree angle with the ground. A force of 33 Newtons is extended along the handle. What are the horizontal and vertical components?
33 cos29 horizontal
33 sin29 vertical
28.862;15.998
To find the horizontal and vertical components of the force that is being applied along the handle of the wagon, we can use the concept of trigonometry.
The force can be resolved into two components: the horizontal component (Fx) and the vertical component (Fy). The angle that the handle of the wagon makes with the ground (29 degrees) is the same as the angle between the applied force and the horizontal axis.
To calculate the horizontal component (Fx), we can use the formula:
Fx = Force * cos(angle)
Substituting the given values into the formula:
Fx = 33 N * cos(29°)
Using a scientific calculator, we can find the horizontal component to be:
Fx ≈ 29.77 N
To calculate the vertical component (Fy), we can use the formula:
Fy = Force * sin(angle)
Substituting the given values into the formula:
Fy = 33 N * sin(29°)
Using a scientific calculator, we can find the vertical component to be:
Fy ≈ 15.63 N
Therefore, the horizontal component (Fx) is approximately 29.77 N, and the vertical component (Fy) is approximately 15.63 N.