Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Two children A and B push a block. If A pushes the block southward with a force of 400 N and at the same time B pushes the block eastward with a force of 300 N, then determine the resultant of force A and B.
Options
A 100 N southward
B 100 N eastward
C 500 N southeastward
Correct Answer
D 700 N southeastward
Correct Answer

Option C is the correct answer.

Detailed Explanation

The forces are perpendicular. Resultant magnitude = √(400² + 300²) = √(160000 + 90000) = √250000 = 500 N. The direction is southeast (since one force is south and the other east).

Hint

Use the Pythagorean theorem to find the magnitude of the resultant of two perpendicular vectors.

Question Info