Aeroplanes fly at high altitudes where the temperature is well below 0°C. Ice that forms on an aeroplane can fall to earth and strike the ground. Fig. 9.1 shows a block of ice falling from an aeroplane as it approaches an airport. [Figure 9.1] (not to scale) The mass of the falling block of ice is 1.2kg and the gravitational field strength g is 10N/kg.
- (a)Calculate the weight of the block of ice. weight =[1]
- (b)(i)1.Fig. 9.2 is the speed-time graph for the block of ice as it falls to the ground. [Figure 9.2] At first, the acceleration of the block of ice is equal to the acceleration of free-fall. The acceleration of the block then decreases to zero as the block reaches terminal velocity. As the block of ice falls, the force F of air resistance acting on the block changes. State the value of F at time = 0. F=[1]
- (b)(i)2.State the value of F at time = 10.0s. F=[1]
- (b)(i)3.Explain why F changes.[1]
- (b)(ii)State the energy change that takes place when the block is falling at terminal velocity.[1]
- (b)(iii)Using information from Fig. 9.2, determine the maximum kinetic energy of the block when it is falling to the ground with terminal velocity. maximum kinetic energy =[3]
- (c)(i)The block strikes the ground and it stops moving. This impact causes some of the ice to melt. The specific latent heat of fusion of ice is 330J/g. Calculate the maximum possible mass of ice that melts as a result of the impact. mass =[2]
- (c)(ii)In practice, the mass of ice that melts on impact is less than the value calculated in (c)(i). Suggest two reasons for this. 1. 2.[2]
- (d)As the solid ice melts, it changes into liquid water. Describe, in terms of molecules, how ice differs from liquid water.[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.
- [1] 12N
- [1] 0 or zero
- [1] 12 N or it is equal to the weight
- [1] (F increases) as the speed increases
- [1] (gravitational) potential to thermal energy or to k.e. of air
- [1] (KE = )1/2mv²
- [1] 1/2 x 1.2 x 40²
- [1] 960 J
- [1] (m = )E/lf or Q/lf for 960/330
- [1] 2.9/2.91 g or 2.9/2.91 × 10⁻³kg
- [2] any two from: ice is below 0°C thermal energy transferred/lost (to ground/air) work done compressing/compacting the ground
- [3] any three from: molecules fixed in position or water molecules move around molecules vibrate or water molecules do not vibrate molecules in regular lattice or water molecules placed randomly (interatomic) forces between ice molecules larger ice molecules further apart
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