Question

Two forces are of magnitude of 450N and 240N respectively. Detrmine the resultant force when the forces act at right angles to each other.

Answer 1

Answer on Question#74853 – Physics – Mechanics – Relativity

Two forces are of magnitude of 450N and 240N respectively. Determine the resultant force when the forces act at right angles to each other.

**Solution.** According to the condition of the problem, we have two forces $\overrightarrow{F_1} = 450N$ and $\overrightarrow{F_2} = 240N$ the forces act at right angles to each other. Let's draw a schematic drawing.

Find the magnitude of the resultant force $R$ using the Pythagoras theorem.

$$R^2 = F_1^2 + F_2^2 \rightarrow R = \sqrt{F_1^2 + F_2^2}$$

Hence $R = \sqrt{450^2 + 240^2} = 510N$

**Answer.** 510N.

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