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Q.

An ant moves on the floor of a room making two displacements. One of magnitude 3 m and another of magnitude 4 m . If the angle between the two displacements is $120 °$ what will be the magnitude of the resultant displacement

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a

6.082 m

b

3.606 m

c

4.8 m

d

5.2m

answer is D.

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Detailed Solution

Question Image

$\bar{R} = \sqrt{P^{2} + Q^{2} + 2 PQ \cos θ}$

$= \sqrt{3^{2} + 4^{2} + 2 \times 4 \times 3 \cos 120}$

$= \sqrt{25 + 24 \times - 1/2}$

$= \sqrt{25 - 12}$

$= \sqrt{13} = 3.606 m$

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An ant moves on the floor of a room making two displacements. One of magnitude 3 m and another of magnitude 4 m . If the angle between the two displacements is 120° what will be the magnitude of the resultant displacement