Question Detail

PHY 101 PHY 101 Past Questions Objective Question
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Question

Two vectors A = 3.0 i - 4.5 j and B = -2.5 i + 5.0 j. Find the magnitude of their vector sum and the angle with the positive x-axis.
Options
A 0.71 N, 90.0°
B 0.71 N, 45.0°
Correct Answer
C 120.5 N, 60.0°
D 120.5 N, 35.4°
Correct Answer

Option B is the correct answer.

Detailed Explanation

The vector sum is C = A + B = (3.0 - 2.5)i + (-4.5 + 5.0)j = 0.5i + 0.5j. Magnitude = sqrt(0.5^2 + 0.5^2) ≈ 0.707 N ≈ 0.71 N. Angle = arctan(0.5 / 0.5) = 45°.

Hint

Add the i and j components separately to find the resultant vector.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 94 of 1250
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