| Exam Board | OCR MEI |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Forces in vector form: kinematics extension |
| Difficulty | Moderate -0.8 This is a straightforward mechanics question testing basic vector operations (magnitude, direction, and Newton's second law). Part (i) requires simple Pythagoras, part (ii) needs vector subtraction and arctangent with bearing conversion, and part (iii) applies F=ma directly. All are standard textbook exercises with no problem-solving insight required, making it easier than average. |
| Spec | 1.10a Vectors in 2D: i,j notation and column vectors1.10c Magnitude and direction: of vectors1.10d Vector operations: addition and scalar multiplication3.02a Kinematics language: position, displacement, velocity, acceleration3.03d Newton's second law: 2D vectors |
1 Force $\mathbf { F } _ { 1 }$ is $\binom { 6 } { 13 } \mathrm {~N}$ and force $\mathbf { F } _ { 2 }$ is $\binom { 3 } { 5 }$, where ${ } _ { 0 }$ and $\binom { 0 } { 1 }$ are vectors east and north respectively.\\
(i) Calculate the magnitude of $\mathbf { F } _ { 1 }$, correct to three significant figures.\\
(ii) Calculate the direction of the force $\mathbf { F } _ { 1 } - \mathbf { F } _ { 2 }$ as a bearing.
Force $\mathbf { F } _ { 2 }$ is the resultant of all the forces acting on an object of mass 5 kg .\\
(iii) Calculate the acceleration of the object and the change in its velocity after 10 seconds.
\hfill \mbox{\textit{OCR MEI M1 Q1 [8]}}