A glass beaker of mass m is at rest on a horizontal surface. The base of the beaker is a circle with a radius r.
- (a)The beaker exerts a pressure on the horizontal surface. Determine an expression for the pressure in terms of the gravitational field strength g, m and r. pressure = .................................................................[2]
- (b)Fig. 2.1 shows the beaker being filled with a liquid from container X. [Figure 2.1] Initially, the beaker is empty. At time t = 0, the tap is opened and liquid from container X flows slowly into the beaker at a constant rate. At time t = T, the liquid stops flowing into the beaker. Sketch on Fig. 2.2 to show how the pressure exerted on the horizontal surface varies between t = 0 and t = 2T. [Figure 2.2][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 2024). The mark or mark type is shown in brackets.
- [1] clear evidence that pressure = 1 / area or mg seen
- [1] pressure = mg / πr²
- [1] line with intercept > 0
- [1] between t = 0 and t = T, straight line and with gradient > 0
- [1] horizontal line at end of initial line
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