(a) A student pushes a drawing pin into a wooden board, as shown in Fig. 4.1. [Figure 4.1] The area of the pin in contact with the finger is 5.0 × 10⁻⁵m². The student pushes downwards with a force of 26 N. The mass of the drawing pin is very small. (b) Fig. 4.2 shows water emerging from a plastic bag that contains a number of small holes. [Figure 4.2]
- (a)(i)Calculate the pressure exerted by the finger on the drawing pin.[2]
- (a)(ii)Compare the force exerted by the finger on the drawing pin with the force exerted by the drawing pin on the wooden board.[1]
- (a)(iii)Explain why the drawing pin goes into the wooden board but not into the finger.[2]
- (b)(i)Explain why the water emerges from each hole in a direction at right angles to the surface of the bag.[2]
- (b)(ii)The holes at A and B are the same size. Explain why the water emerges faster from the hole at A than from the hole at B.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [C1] (P=) Force / Area algebraic or numerical
- [A1] 520 000 (Pa)
- [B1] They are equal (in size and direction)
- [C1] small(er) area of contact (with board)
- [A1] large(r) pressure (on board)
- [B1] pressure (of water) act / pressure in bag
- [B1] force (on water) at right angles to the surface / in a straight line or pressure acts in all directions
- [B1] larger pressure at A / greater weight of water above A (and greater height / depth / mass / weight (of water above B)
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