A wagon is pulled by a handle making an upward angle of 25° with a force of 25 N. What is the horizontal force pulling the wagon foward? What is the force lifting the wagon off the road?
To find the horizontal force pulling the wagon forward, we need to resolve the 25 N force into its horizontal and vertical components.
Step 1: Find the horizontal component of the force:
The horizontal component of a force can be found using the formula: Horizontal component = Force * cos(angle). In this case, the force is 25 N and the angle is 25°.
Horizontal component = 25 N * cos(25°)
Step 2: Calculate the value of the horizontal component:
Using a calculator or math software, evaluate the above expression to find the value of the horizontal component.
Horizontal component = 25 N * cos(25°) ≈ 22.74 N
Therefore, the horizontal force pulling the wagon forward is approximately 22.74 N.
To find the force lifting the wagon off the road (the upward force), we need to find the vertical component of the force.
Step 3: Find the vertical component of the force:
The vertical component of a force can be found using the formula: Vertical component = Force * sin(angle). In this case, the force is 25 N and the angle is 25°.
Vertical component = 25 N * sin(25°)
Step 4: Calculate the value of the vertical component:
Using a calculator or math software, evaluate the above expression to find the value of the vertical component.
Vertical component = 25 N * sin(25°) ≈ 10.76 N
Therefore, the force lifting the wagon off the road (the upward force) is approximately 10.76 N.