Question Detail

PHY 101 PHY 101 Past Questions Objective Question
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Question

Two forces (100N at 170.0° and 100N at 50.0°) act on a 2kg block. What is the resultant force?
Options
A 200N at 110°
B 100N at 110°
Correct Answer
C 0N
D 100N at 10°
Correct Answer

Option B is the correct answer.

Detailed Explanation

The two forces have equal magnitudes and their directions are symmetric about the 110° line (since (170+50)/2 = 110°). Their horizontal and vertical components will add to give a resultant vector along that bisector. The magnitude will be less than 200N due to the angle between them. Calculation: The angle between the force vectors is 120°. The magnitude of the resultant of two equal forces F with an angle θ between them is 2Fcos(θ/2) = 2100*cos(60°) = 100 N. Direction is 110°.

Hint

Resolve the forces into components or use the law of cosines for vector addition.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 103 of 1250
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