Question

A rope is pulling a sled is sloped at 25 degrees upward at the point of contact. The tension in the rope is 40.0N. What is the horizontal component of the force.

Answer 1

T = 40.0 N

angle = 25°

Trigonometric ratios:

sin(25°) = vertical component of the force / force

cos(25°) = horizontal component of the force / force

tan (25°) = vertical compoent of the force / horizontal component of the force.

From cos(25°) you can find the horizontal component of the force:

horizontal component of the force = force * cos(25°)

The force is the tension, 40.0 N.

horizontal component of the force = 40.0 N * cos (25°) = 36.25 N

Answer: 36.25 N