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CAIE A-Level Physics AS 1.4.3 A Vector As Two Perpendicular Components Questions

Resolve vectors into two perpendicular components and recombine them to determine resultant magnitude and direction in Cambridge A Level Physics questions.

Syllabus
2028–2030
Course
Physics 9702
Level
AS

Exam points

  • Resolve a vector into two perpendicular components and recombine components to determine the magnitude and direction of the resultant.

CAIE A-Level Physics AS 1.4.3 A Vector As Two Perpendicular Components Questions question 1

[Maximum number: 2]

A car travels in a straight line up a slope, as shown in Fig. 3.1.

Fig. 3.1

Fig. 3.1

The car has mass 850 kg and travels with a constant speed of 9.0 ms−19.0 \mathrm{~ms}^{-1}. The car's engine exerts a force on the car of 2.0 kN up the slope.

A resistive force FDF_{\mathrm{D}}, due to friction and air resistance, opposes the motion of the car.
The variation of FDF_{\mathrm{D}} with the speed v of the car is shown in Fig. 3.2.

Fig. 3.2

Fig. 3.2

Consider the forces that act along the slope. Use data from Fig. 3.2 to determine the component of the weight of the car that acts down the slope.

component of weight =
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