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15 (a) State the value of T giving a clear reason for your answer - AQA - A-Level Maths Mechanics - Question 15 - 2021 - Paper 2

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15 (a) State the value of T giving a clear reason for your answer. 15 (b) State one assumption you have made in reaching your answer to part (a).

Worked Solution & Example Answer:15 (a) State the value of T giving a clear reason for your answer - AQA - A-Level Maths Mechanics - Question 15 - 2021 - Paper 2

Step 1

State the value of T giving a clear reason for your answer.

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Answer

To find the value of T, we first need to consider the forces acting on the trailer. The constant resistance force acting on the trailer is given as 12 N. Since the cyclist is moving at a constant speed, this implies that there is no resultant force acting on the trailer.

Therefore, for the forces to be in equilibrium:

T=RT = R

Where:

  • TT is the tension in the rod
  • RR is the resistance force (12 N)

Thus, we have:

T=12extNT = 12 ext{ N}

Step 2

State one assumption you have made in reaching your answer to part (a).

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Answer

One assumption made is that the rod connecting the bicycle and trailer is rigid and does not stretch or compress. This allows us to treat the system as if all forces are transmitted directly without any loss.

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