Question

A box is being pulled by a rope that makes a 25 degree angle with the

ground. The pulling force is 100.0 N along the rope. Find the
horizontal and vertical components of the force vector.

Answer 1

Vertical Component = 42.26 N

Horizontal Component = 90.63 N

Step-by-step explanation:

When a vector is resolved on x - axis and y - axis, then it is split up into its rectangular components also known as vertical component and horizontal component. The formulae to find these components are as follows:

Vertical Component = F Sin θ

Horizontal Component = F Cos θ

where,

F = Pulling Force = 100 N

θ = Angle with ground or x - axis = 25°

Therefore, using these values:

Vertical Component = (100 N)(Sin 25°)

Vertical Component = 42.26 N

Horizontal Component = (100 N)(Cos 25°)

Horizontal Component = 90.63 N