Question
What is the resultant force when two forces 10n and 20n are inclined at angle 60 to each other?
Answer:
Final outcome: The final answer to the above question is 26 Newtons
Explantion
Data: Important information from the question
The first force, F1 = 10N
The second force, F2 = 20N
The angle between the forces, θ = 600
Unrevealed Values:
Resultant, R = ?
Formula: Equation that will help us solve the problem
We will apply the formula below to solve the problem
R2 = F12+ F22 – 2 F1 F2 Cos ( 1800 – θ )
Solution
We will insert our data into the formula to solve the problem
R2 = F12+ F22 – 2 F1 F2 Cos ( 1800 – θ ) = 102+ 202 – 2 (10) (20) Cos ( 1800 – 600 )
Thus, our resultant will become
R2 = 100 + 400 – 400 x ( – 0.5 )
Hence,
R2 = 500 + 200 = 700
We will now apply the square root to both sides to obtain
R = √700 = 26.5 N = 26 N
Therefore, the resultant force when two forces 10 Newton and 20 Newton is 26 Newton
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