Question

if the magnitudes of the x and z components of f are fx = 300 n and fz = 700 n , respectively, and β = 65 ∘ , determine the magnitude of f .

Answer 1

The magnitude of the force can be calculated using the Pythagorean theorem using the given x and z components, which results in approximately 761.58 N.

Step-by-step explanation:

To find the magnitude of the force (F), given the x and z components (Fx and Fz), we need to use the Pythagorean theorem as these components are perpendicular to each other. The formula to calculate the magnitude is F = √(Fx2 + Fz2).

Given that Fx = 300 N and Fz = 700 N, the calculation is as follows:
F = √(3002 + 7002) N = √(90000 + 490000) N = √(580000) N = 761.58 N approximately.