A 10.0 kg crate slides down a frictionless surface inclined at 30.0 degrees relative to the horizontal.
a) What is the magnitude of the parallel component of the crate's weight? Show your work.
b) What is the magnitude of the perpendicular component of the crate's weight? Show your work.

Question

A 10.0 kg crate slides down a frictionless surface inclined at 30.0 degrees relative to the horizontal.
a) What is the magnitude of the parallel component of the crate's weight? Show your work.
b) What is the magnitude of the perpendicular component of the crate's weight? Show your work.

anonymous · Answer

Parallel component of the weight is given by $$Fsin \theta$$
Plug the numbers in: 49N

Vertical component is given by $$F \cos 30$$
Plug the numbers in: 84.8N