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07.1 An aircraft travels at a constant velocity - AQA - GCSE Physics - Question 7 - 2020 - Paper 1

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07.1 An aircraft travels at a constant velocity. How is the velocity of the aircraft different to the speed of the aircraft? 07.2 Figure 11 shows one of the engine... show full transcript

Worked Solution & Example Answer:07.1 An aircraft travels at a constant velocity - AQA - GCSE Physics - Question 7 - 2020 - Paper 1

Step 1

How is the velocity of the aircraft different to the speed of the aircraft?

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Answer

Velocity is a vector quantity that includes both speed and direction. In contrast, speed is a scalar quantity that only refers to how fast an object is moving, without any consideration of its direction.

Step 2

Explain the effect this has on the engine.

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Answer

The air pushed backwards from the engine creates a thrust that propels the aircraft forward. This action-reaction principle, as described by Newton's Third Law of Motion, results in an equal force acting in the opposite direction on the engine, which helps to move the aircraft.

Step 3

Determine the speed of the aircraft.

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Answer

From the distance-time graph, the total distance travelled by the aircraft is 12,000 meters over a period of 50 seconds. The speed can be calculated using the formula:

ext{speed} = rac{ ext{distance}}{ ext{time}} = rac{12000 ext{ m}}{50 ext{ s}} = 240 ext{ m/s}.

Step 4

Write down the equation that links acceleration (a), change in velocity (Δv) and time taken (t).

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The equation is given by:

a = rac{ riangle v}{t},

or, rearranged,

Step 5

Calculate the time taken for the aircraft to decelerate from 250 m/s to 68 m/s.

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Answer

The change in velocity ( rianglev riangle v ) can be calculated as:

Using the acceleration formula, we can find the time ( tt ):

0.14 = rac{182}{t} ightarrow t = rac{182}{0.14} ightarrow t = 1300 ext{ seconds}.

Step 6

Write down the equation that links distance (s), force (F) and work done (W).

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Answer

The equation is:

W=Fimess,W = F imes s,

or rearranged,

F = rac{W}{s}.

Step 7

Calculate the mean force used to stop the aircraft.

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Answer

Given that the work done (W) to stop the aircraft is 140,000,000 J and the distance (s) is 2000 m, we can calculate the mean force using the formula:

F = rac{W}{s} = rac{140000000 ext{ J}}{2000 ext{ m}} = 70000 ext{ N}.

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