With reference to velocity and acceleration, describe uniform circular motion.
- (a)With reference to velocity and acceleration, describe uniform circular motion.[2]
- (b)(i)Two cars are moving around a horizontal circular track. One car follows path X and the other follows path Y, as shown in [Figure 1.1]. The radius of path X is 318 m. Path Y is parallel to, and 27 m outside, path X. Both cars have mass 790kg. The maximum lateral (sideways) friction force F that the cars can experience without sliding is the same for both cars. The maximum speed at which the car on path X can move around the track without sliding is 94 ms⁻¹. Calculate F.[2]
- (b)(ii)Both cars move around the track. Each car has the maximum speed at which it can move without sliding. Complete Table 1.1, by placing one tick in each row, to indicate how the quantities indicated for the car on path Y compare with the car on path X. Table 1.1 Y less than X Y same as X Y greater than X centripetal acceleration maximum speed time taken for one lap of the track[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [B1] constant speed or constant magnitude of velocity
- [B1] acceleration (always) perpendicular to velocity
- [C1] F = mv²/r or v = rω and F = mrω²
- [A1] = 22000 N
- [B1] centripetal acceleration: same
- [B1] maximum speed: greater
- [B1] time taken for one lap of the track: greater
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