One force of 100 units acts on an object . another force of 80 units acts on the object at a 40 degree angle from the first force. Find the magnitude and direction of the resultant force on the object.
If we take the first force as acting in the x-direction then the x-component of the resulting force is
Fx = 100 + 80*cos(40°)
The y-component of the resulting force is
Fy = 80*sin(40°)
The magnitude of the resulting force is
F = √(Fx2 + Fy2)
and the angle to the x-axis is
θ = tan-1(Fy/Fx)
I'll leave you to fill in the numbers.
If we take the first force as acting in the x-direction then the x-component of the resulting force is
Fx = 100 + 80*cos(40°)
The y-component of the resulting force is
Fy = 80*sin(40°)
The magnitude of the resulting force is
F = √(Fx2 + Fy2)
and the angle to the x-axis is
θ = tan-1(Fy/Fx)
I'll leave you to fill in the numbers.