Moderate -0.8 This is a straightforward mechanics question requiring finding the direction vector from A to B, calculating its magnitude, then scaling to the given force magnitude. It's routine vector manipulation with clear steps and no conceptual difficulty, making it easier than average but not trivial due to the arithmetic involved.
Two points \(A\) and \(B\) lie in a horizontal plane and have coordinates \((-2, 7)\) and \((3, 19)\) respectively.
A particle moves in a straight line from \(A\) to \(B\) under the action of a constant resultant force of magnitude 6.5 N
Express the resultant force in vector form.
[3 marks]
Question 13:
13 | Finds the vector with at least
one component correct
�𝐴𝐴s ��� 𝐴𝐴� ⃗
PI by the modulu c alculation
ACF | 1.1a | M1 | 5i + 12j
𝐴𝐴����𝐴𝐴�⃗ =
2 2
�𝐴𝐴����𝐴𝐴�⃗�= �5 +12 = 13
So (5i + 12j)
6.5
𝑭𝑭 = 13
2.5i + 6j N
Uses Pythagoras to determine
their
Condone notation errors for
modu�l �𝐴𝐴u ���𝐴𝐴� s ⃗ .� | 1.1a | M1
Finds the correct force vector.
Condone missing units.
ACF | 1.1b | A1
Question 13 Total | 3
Q | Marking instructions | AO | Marks | Typical solution
Two points $A$ and $B$ lie in a horizontal plane and have coordinates $(-2, 7)$ and $(3, 19)$ respectively.
A particle moves in a straight line from $A$ to $B$ under the action of a constant resultant force of magnitude 6.5 N
Express the resultant force in vector form.
[3 marks]
\hfill \mbox{\textit{AQA AS Paper 1 2022 Q13 [3]}}