| Exam Board | CAIE |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2011 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Newton's laws and connected particles |
| Type | Single particle, Newton's second law – scalar (1D, horizontal or inclined) |
| Difficulty | Moderate -0.8 This is a straightforward application of Newton's second law (F = ma) followed by the standard power formula (P = Fv). Both parts require direct substitution into well-known formulas with no problem-solving insight needed, making it easier than average but not trivial since it involves two distinct mechanics concepts. |
| Spec | 3.03d Newton's second law: 2D vectors6.02l Power and velocity: P = Fv |
1 A car of mass 700 kg is travelling along a straight horizontal road. The resistance to motion is constant and equal to 600 N .\\
(i) Find the driving force of the car's engine at an instant when the acceleration is $2 \mathrm {~m} \mathrm {~s} ^ { - 2 }$.\\
(ii) Given that the car's speed at this instant is $15 \mathrm {~m} \mathrm {~s} ^ { - 1 }$, find the rate at which the car's engine is working.
\hfill \mbox{\textit{CAIE M1 2011 Q1 [4]}}