# What is the resultant force when two forces 10n and 20n are inclined at angle 60 to each other?

## Question

What is the resultant force when two forces 10n and 20n are inclined at angle 60 to each other?

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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