Question

A 50 Newton force is at a 45-degree angle. Calculate on your own paper the X component of the force and select the correct answer.

A) 30 newtons at zero degrees
B) 35.3 newtons at 90 degrees
C) 35.3 newtons at zero degrees
D) 45 newtons at 90 degrees
E) 50 newtons at zero degrees"

Answer 1

The X component of a 50 Newton force at a 45-degree angle is calculated using the cosine function, resulting in 35.3 newtons at zero degrees, which is answer choice C.

Step-by-step explanation:

The question asks to calculate the X component of a force that is at a 45-degree angle. The X component of a force can be found by multiplying the magnitude of the force by the cosine of the angle. In this case, the force is 50 Newtons, and the angle is 45 degrees.

To calculate the X component (Fx), use the following formula:

Fx = F * cos(θ)

Fx = 50 N * cos(45°)

Fx = 50 N * (/2/2)

Fx = 25 N * /2

Fx = 35.3 newtons (rounded to one decimal place)

The X component of the force is 35.3 newtons at zero degrees, which corresponds to the horizontal direction, assuming the conventional coordinate system where 0 degrees is to the right.

The correct answer to the question is C) 35.3 newtons at zero degrees.