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Kay [80]
3 years ago
5

a ship leaves a port P and travels 30 km due north . then it changes course and travels 20 km in a direction 30° east of north t

o reach port R. calculate the distance from P to R.
Physics
1 answer:
shepuryov [24]3 years ago
5 0

The distance between P and R is equal to the net displacement of the ship in going from port P to port R

Vector P = 30 km North

Vector R = 20 km 30° east of north

Now, the angle between Vector P and vector R = 90° + 30 ° = 120°

Using the formula to find the addition of two vectors:

Resultant = = \sqrt{P^2+R^2 +2PR Cos 120}

Plugging the values:

Resultant = \sqrt{30^2+20^2+2\times 20 \times 30 \times (-0.5)}

Resultant = \sqrt{900 +400 -600 }

Resultant = 26.457 Km

The distance from P to R is 26.457 km

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