O-LevelPhysicsForces5054/21 · Oct/Nov 2015 · Q16 Marks
Fig. 1.1 shows an archer firing an arrow at a target during a competition. [Figure 1.1] The arrow has a mass of 0.018kg and is initially at rest. The arrow leaves the bow 0.011 s after the bow string is released. When it leaves the bow, the velocity of the arrow is 95m/s. (a) Calculate
- (a)(i)the average acceleration of the arrow during the 0.011s, average acceleration = [2]
- (a)(ii)the average force exerted on the arrow during the 0.011s. average force = [2]
- (b)In practice, the force exerted on the arrow gradually decreases to zero during firing. On Fig. 1.2, sketch a possible speed-time graph for the arrow as it is being fired. [Figure 1.2][2]
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 2015). The mark or mark type is shown in brackets.
- [1] (a = )Δv/t or 95/0.011
- [1] 8.6(3636) × 10³ m/s²
- [1] (F = )ma or 0.018 × 8.63 × 10³
- [1] 150/155(.4545) / 160 N
- [1] line from (0, 0) to (0.011, 95) with decreasing gradient
- [1] (becomes) horizontal at (0.011, 95)
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