Physics - Combining Vectors
Combining Vectors
Combining Vectors is [[Physics - Resolving Vectors]]A in reverse, or vice-versa.
What is the golden rule for adding vectors?
Always add vectors tip to tail.
Combine these vectors, a boat moving $10kmh^{-1}$ across a $10kmh^{-1}$ flowing river PHOTO?
PHOTO
- $\sqrt{10^2 + 10^2} = \sqrt{200} = 10\sqrt{2} kmh^{-1}$
When can Pythagoras be used to combine two vectors?
When two known forces are at a right angle.
How can you work out the angle between two forces?
Using trigonometry.
Visualise a diagram for a train travelling along a $2^{\circ}$ towards a $200m$ summit?
PHOTO
How could you find the length of the slope in this diagram PHOTO?
- $\sin 2 \circ = \frac{200}{x}$
- $x = \frac{200}{\sin 2 \circ}$