A-LevelMathematicsMechanics9709/42 · Oct/Nov 2021 · Q26 Marks
A van of mass 3600 kg is towing a trailer of mass 1200 kg along a straight horizontal road using a light horizontal rope. There are resistance forces of 700 N on the van and 300 N on the trailer.
- (a)The driving force exerted by the van is 2500 N. Find the tension in the rope.[4]
- (b)The driving force is now removed and the van driver applies a braking force which acts only on the van. The resistance forces remain unchanged. Find the least possible value of the braking force which will cause the rope to become slack.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- M1 Apply Newton's 2nd law to the van or to the trailer or to the system of van and trailer. Correct number of terms.
- A1 For any two correct.
- M1 Obtain an equation in T only
- A1 Tension in the rope = T = 675 N
- M1 Apply Newton's 2nd law to any two of the van, the trailer and the system with braking force F and with T = 0.
- A1 Least possible value of braking force = F = 200 N
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