Question Detail

PHY 101 PHY 101 Past Questions Objective Question
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Question

Two vectors A and B are given as follows: 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 it makes 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

Sum = A + B = (3.0 - 2.5)i + (-4.5 + 5.0)j = 0.5 i + 0.5 j. Magnitude = √(0.5² + 0.5²) = √0.5 = 0.707 N. Angle θ = tan⁻¹(0.5/0.5) = tan⁻¹(1) = 45°.

Hint

Add components, then find magnitude and direction.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 849 of 1250
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