A car of mass $$$1800 \mathrm{~kg}$$$ is towing a trailer of mass $$$400 \mathrm{~kg}$$$ along a straight horizontal road. The car and trailer are connected by a light rigid tow-bar. The car is accelerating at $$$1.5 \mathrm{~m} \mathrm{~s}^{-2}$$$. There are constant resistance forces of $$$250 \mathrm{~N}$$$ on the car and $$$100 \mathrm{~N}$$$ on the trailer. Find the tension in the tow-bar. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s20_qp_41 Year：2020 Question No：2(a)

Answer:

${[T-100=400 \times 1.5] }$
$T=700 \mathrm{~N}$

Knowledge points:

4.4.1 apply Newton’s laws of motion to the linear motion of a particle of constant mass moving under the action of constant forces, which may include friction, tension in an inextensible string and thrust in a connecting rod If any other forces resisting motion are to be considered (e.g. air resistance) this will be indicated in the question.

4.4.4 solve simple problems which may be modelled as the motion of connected particles. e.g. particles connected by a light inextensible string passing over a smooth pulley, or a car towing a trailer by means of either a light rope or a light rigid tow- bar.

Answer:

Knowledge points:

Solution:

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