Two forces, one is 60 Newton’s and the other is 40 Newton’s act on a body at an angle of 70 degrees. What is the magnitude and direction of the resultant force?
To answer this question. Let’s first define A force.
A force is somthing that can be able or not able to change the initial or final stage of a body or object.
Here in this question, there are two forces one 60 Newton and other is 40 Newton. Both the forces are acting on a body.
Please note that, Both the forces are acting at an angle 70 degree on the body.
The meaning of 70 degree is that both the forces are acting in two directions and make an angle of 70 degree, measured in between both the lines of forces.
As you can see in the above fig. That there are two lines red and purple. Each both of them are 60 Newton and 40 Newton. The blue line are the resultant force.
Now, to calculate the resultant force and magnitude of the above questions. Let’s first know the formula.
The formula for calculating the resultant forces is,
Resultant = √A² + √B² + 2ABcosθ
Now, A = 60 Newton, B = 40 Newton and θ = 70 degree.
Resultant = √60² + √40² + 2ABcos70
Resultant = 100 + 1632
Resultant = 1732 Newton