# Maths mechanics

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#1
A tractor and its driver have a combined mass of m kilograms.
The tractor is towing a trailer of mass 4m kilograms in a straight line along a horizontal
The tractor and trailer are connected by a horizontal tow bar, modelled as a light rigid
rod.
A driving force of 11 080 N and a total resistance force of 160 N act on the tractor.
A total resistance force of 600 N acts on the trailer.
The tractor and the trailer have an acceleration of 0.8 m s2

a. Work out m and the tension in the tow bar

C. At the instant the speed of the tractor reaches 18 km h1 the tow bar breaks.
The total resistance force acting on the trailer remains constant.
Starting from the instant the tow bar breaks, calculate the time taken until the speed
of the trailer reduces to 9 km h1

My answers for a. Are m=2580 T= 8856
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1 month ago
#2
For c) the tension is now zero, so the deceleration is determined solely by the trailer resistive force. Then use that deceleration in a simple suvat equation to get the time.
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