Two force each of 10N acts on a body; one towards the north and the other towards the east. The magnitude and the direction of the resultant force are

A. 20N, 45°E
B. 20N, 45°W
C. 10√2N, 45°W
D. 10√2N, 45°E

Correct Answer:

Option D = 10√2N, 45°E

Explanation

From Pythagoras,

R² = 10² + 10²
= 100 + 100
= 200
therefore R = √200 = √2 x 100
= 10√2, in the direction 45°E