a woman is mowing her lawn. she is pushing on the handle with a force of 250 newtons. if the handle is at a 40 degree angle with the horizontal, resolve the vector. ??
To resolve the vector, we need to find the horizontal and vertical components of the force being applied to the handle.
Given:
Force applied (F) = 250 Newtons
Angle (θ) = 40 degrees
Step 1: Decompose the force into horizontal and vertical components.
The horizontal component (F_x) can be determined using the formula:
F_x = F * cos(θ)
Substituting the given values:
F_x = 250 N * cos(40°)
Step 2: Calculate the vertical component.
The vertical component (F_y) can be determined using the formula:
F_y = F * sin(θ)
Substituting the given values:
F_y = 250 N * sin(40°)
Step 3: Calculate the resolved vector.
The resolved vector can be calculated using the horizontal and vertical components.
Resolved Vector (R) = √(F_x^2 + F_y^2)
Substituting the values calculated above:
R = √((250 N * cos(40°))^2 + (250 N * sin(40°))^2)
By evaluating this expression, you can find the resolved vector value.