You are pushing a 55 N lawnmower across the the yard. Its handle makes a 55 degree angle with the ground. What force are you exerting on the handle?
To find the force you are exerting on the handle, we can resolve the 55 N force into its vertical and horizontal components.
The vertical component can be found using the equation:
Force_vertical = Force * sin(angle)
= 55 N * sin(55 degrees)
Calculating this, we have:
Force_vertical ≈ 55 N * 0.8192
Force_vertical ≈ 45.057 N
The force you are exerting on the handle is approximately 45.057 Newtons.
To find the force you are exerting on the handle, we can utilize trigonometry and resolve the force into its vertical and horizontal components.
First, let's find the vertical component. Since the angle between the handle and the ground is 55 degrees, we can use the sine function to find the vertical component of the force:
Vertical component = Force x sin(angle)
= 55 N x sin(55 degrees)
≈ 44.48 N
The vertical component represents the force that is directed perpendicular to the ground.
Next, let's find the horizontal component. Using the same angle, we can use the cosine function to find the horizontal component of the force:
Horizontal component = Force x cos(angle)
= 55 N x cos(55 degrees)
≈ 31.39 N
The horizontal component represents the force that is directed parallel to the ground.
Therefore, the force you are exerting on the handle can be resolved into a vertical component of approximately 44.48 N and a horizontal component of approximately 31.39 N.