Two-dimensional resultant problem clinic
≈ 48 minTwo-dimensional resultant problem clinic
A multi-step vector question is easiest when you write a translation sentence before calculating: choose east and north as axes, resolve each displacement or force, add components, then convert the final component pair into magnitude and direction. A bearing is measured clockwise from north and is written with three digits, while an angle stated 'north of east' uses a different reference. Do not mix those conventions. A final resultant should have a unit and a direction, and a quick sketch should agree with the quadrant implied by the signs.
Work it through
A route goes 6 km east then 8 km north. Components are (+6, +8) km. Magnitude is 10 km. The direction is north of east; the angle is tan⁻¹(8/6) ≈ 53°. From north, the bearing would be 037°. Showing both references makes it clear which one the question asks for.
Mastery target
Solve a two-dimensional resultant problem from an axis choice through components, magnitude, direction convention and a quadrant check.
A bearing is measured clockwise from:
Name the key physics term from Two-dimensional resultant problem clinic that best fits the explanation and visual model.
A displacement has components 6 km east and 8 km north. What is its magnitude in km?
Which statement corrects a common misunderstanding in Two-dimensional resultant problem clinic?