Using the diagram above, the effective force pushing it forward at an angle 60º is
Answer Details
To determine the effective force pushing the object forward at an angle of 60º, we need to resolve the given force into its components. Specifically, we are interested in the horizontal component of the force, as this is the part that effectively pushes the object forward.
The general formula to calculate the horizontal component of a force (Fx) when the force is applied at an angle (θ) is:
Fx = F * cos(θ)
Where:
F is the magnitude of the force applied.
θ is the angle at which the force is applied, in this case, 60º.
cos(θ) is the cosine of the angle.
Assuming the magnitude of the force applied (F) is 50N, then the effective forward force can be calculated as follows:
Fx = 50N * cos(60º)
Using the trigonometric value:
cos(60º) = 0.5
Therefore:
Fx = 50N * 0.5
Fx = 25N
Hence, the effective force pushing it forward at an angle of 60º is 25.00N. Therefore, the correct answer is 25.00N.