What is the acceleration of an object on a frictionless inclined plane of 30⁰? *

Answer 1

Okay so we know that force of gravity is F_G=mg

The force pulling an object down a ramp is sin(θ) times the force of gravity we will call with force F_d

so if F_d=F_Gsin(30) and F=ma then we can solve for acceleration by saying

F_Gsin(30) =ma

mg sin(30) = ma

mass will cancel out

g sin (30) = a

*on earth acceleration due to gravity is 9.8 m/s²

so

9.8 sin(30) = a

9.8 (.5)=a

4.9 m/s² = a