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Question detail

A vector has a magnitude of 20 N and is directed 45° above the horizontal. Calculate the horizontal and vertical components of this vector.

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At a glance

Question

Type

exam_style

Style

Topic

Force, energy and momentum

Exam-style question

Try this first

A vector has a magnitude of 20 N and is directed 45° above the horizontal. Calculate the horizontal and vertical components of this vector.

Model answer

What a good answer should say

  • The horizontal component is 14.14 N and the vertical component is 14.14 N.

Explanation

Why this works

This question assesses the understanding of vector resolution into perpendicular components. The formula used is: horizontal component = F * cos(θ) and vertical component = F * sin(θ).

The substitution and calculations yield the correct components.

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