Force is a vector quantity and mass is a scalar quantity.
- (a)(i)State how a vector quantity differs from a scalar quantity.[1]
- (a)(ii)State one other vector quantity and one other scalar quantity. vector quantity ___________ scalar quantity ___________[2]
- (b)An aeroplane flies through the air in a straight line, with its engines at full power. The weight of the aeroplane is 160kN. There is also a force of 320 kN acting upwards on the aeroplane at 30° to the horizontal. In the space below, use a graphical method to determine the size and the direction of the resultant of these two forces. Use a scale of 1.0cm : 40kN. size of resultant force = ___________ direction of resultant force = ___________[4]
- (c)(i)An aeroplane is travelling in a straight line at a constant height. The aeroplane accelerates. State the energy change that is taking place as the aeroplane accelerates.[2]
- (c)(ii)1.As the aeroplane accelerates, the pilot keeps the engines at constant power. The aeroplane eventually reaches a constant speed. Explain why the aeroplane stops accelerating and reaches a constant speed.[3]
- (c)(ii)2.When travelling at a constant speed, the pilot directs the aeroplane into a tight turn that follows a circular path. Explain why the aeroplane is accelerating even though its speed is not changing.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.
- [1] (vector) has direction or scalar does not have direction or (vectors) may cancel or scalars cannot cancel
- [1] one vector quantity e.g.: displacement; velocity, acceleration
- [1] one scalar quantity e.g.: distance, length, speed, time, current, resistance
- [1] downward weight arrow of length 3.9–4.1 cm
- [1] correct triangle/parallelogram drawn and correct diagonal clear
- [1] 270-285 kN
- [1] horizontal (±3°)
- [1] from chemical/fuel energy
- [1] to kinetic (and thermal energy) (not with any intermediate)
- [1] air resistance/friction/drag
- [1] air resistance/friction/drag increases or resultant force decreases or acceleration decreases
- [1] resultant force is zero or (air) resistance/friction equals thrust
- [1] direction of motion is changing
- [1] velocity is vector or has a direction
- [1] (acceleration depends on) changing velocity or resultant force towards centre (of circle) or centripetal force
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