Question

A dog pulls on a pillow with a force of 5.7 N at an angle of 24.6° above the horizontal. What is the x-component of this force?

A. 2.3 N
B. 3.7 N
C. 4.6 N
D. 5.7 N

Answer 1

The x-component of the force is approximately 5.1887 N.

Step-by-step explanation:

The x-component of a force is the projection of the force onto the x-axis. To find the x-component of the dog's force, we can use the formula:

x-component = force * cos(angle)

Plugging in the values given in the question:

x-component = 5.7 N * cos(24.6°)

x-component = 5.7 N * 0.911

x-component ≈ 5.1887 N

Therefore, the x-component of the force is approximately 5.1887 N (rounded to the nearest decimal place).