Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s (iii) A cyclist travels down a slope. The top of the slope is 20 m vertically above the bottom of the slope. The cyclist has a mass of 75 kg. Calculate the change in gravitational potential energy of the cyclist between the top and the bottom of the slope. The gravitational field strength, g, is 10 N/kg. change in gravitational potential energy = (b) An aircraft waits at the start of a runway. The aircraft accelerates from a speed of 0 m/s to a speed of 80 m/s. The acceleration of the aircraft is 4 m/s². Calculate the distance, x, travelled by the aircraft while it is accelerating. Use the equation x = \frac{v^2 - u^2}{2a} x =

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Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s (iii) A cyclist travels down a slope - Edexcel - GCSE Physics - Question 6 - 2019 - Paper 1

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Which-of-these-would-be-a-typical-speed-for-a-racing-cyclist-travelling-down-a-steep-straight-slope?--A---0.2-m/s-B---2-m/s-C---20-m/s-D---200-m/s--(iii)-A-cyclist-travels-down-a-slope-Edexcel-GCSE Physics-Question 6-2019-Paper 1.png

Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s (iii) A cyclist t... show full transcript

Worked Solution & Example Answer:Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s (iii) A cyclist travels down a slope - Edexcel - GCSE Physics - Question 6 - 2019 - Paper 1

Step 1

Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope?

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Answer

When selecting a typical speed for a racing cyclist on a steep slope, we analyze the options:

A: 0.2 m/s - This speed is too slow for a racing cyclist.
B: 2 m/s - This speed is also considered slow for racing purposes.
C: 20 m/s - This speed is realistic for a racing cyclist on a steep slope.
D: 200 m/s - This speed is unrealistic.

Therefore, the most appropriate answer is C: 20 m/s.

Step 2

Calculate the change in gravitational potential energy of the cyclist between the top and the bottom of the slope.

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Answer

To calculate the change in gravitational potential energy (GPE), we use the formula:

$\Delta GPE = m \times g \times h$

Where:

m = mass of the cyclist = 75 kg
g = gravitational field strength = 10 N/kg
h = height difference = 20 m

Substituting the values:

$\Delta GPE = 75 \times 10 \times 20$

Calculating this yields:

$\Delta GPE = 15000 \text{ J}$

Step 3

Calculate the distance, x, travelled by the aircraft while it is accelerating.

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Answer

We will utilize the equation to find distance:

$x = \frac{v^2 - u^2}{2a}$

Given:

Final speed, v = 80 m/s
Initial speed, u = 0 m/s
Acceleration, a = 4 m/s²

Now substituting these values:

$x = \frac{80^2 - 0^2}{2 \times 4} = \frac{6400}{8} = 800 \text{ m}$

Thus, the distance travelled by the aircraft while accelerating is 800 m.

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Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s (iii) A cyclist travels down a slope - Edexcel - GCSE Physics - Question 6 - 2019 - Paper 1

Worked Solution & Example Answer:Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s (iii) A cyclist travels down a slope - Edexcel - GCSE Physics - Question 6 - 2019 - Paper 1

Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope?

Calculate the change in gravitational potential energy of the cyclist between the top and the bottom of the slope.

Calculate the distance, x, travelled by the aircraft while it is accelerating.

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