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soldi70 [24.7K]
3 years ago
13

A position vector in the first quadrant has an x-component of 6 m and a magnitude of 10 m. What is the value of its y-component

Physics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer:

8m

Explanation:

The magnitude m of a vector (x, y) is given by

m = \sqrt{x^2 + y^2}      -------------------------(i)

where;

x and y are the x- and y- components of the vector.

From the question;

m = 10m

x = 6m

Substitute these values into equation (i) as follows;

10 = \sqrt{6^2 + y^2}

Solve for y;

<em>Find the square of both sides</em>

10² = 6² + y²

100 = 36 + y²

y² = 100 - 36

y² = 64

y = √64

y = 8

Therefore, the y-component of the position vector is 8m

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