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