Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Two forces each of 10 N act on a body, one towards the north and the other towards the east. Find the magnitude and direction of the resultant force.
Options
A 10 N, 45° east of north
B 10√2 N, 45° east of north
Correct Answer
C 20 N, 45° east of north
D 10√2 N, 45° north of east
Correct Answer

Option B is the correct answer.

Detailed Explanation

Resultant = √(10² + 10²) = 10√2 N. Direction = tan⁻¹(10/10) = 45° from north toward east, i.e., 45° east of north.

Hint

Pythagorean theorem for perpendicular vectors.

Question Info