The diagram shows a cyclist during a race. (i) Many quantities can be measured during the race. Which of these quantities is a vector quantity? Put a cross (X) in the box next to your answer. A B C D (ii) The total mass of the cyclist and the bicycle is 70.0 kg. The cyclist is accelerating at 2.4 m/s². Calculate the size of the resultant force that produces this acceleration.

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The diagram shows a cyclist during a race - Edexcel - GCSE Physics - Question 1 - 2017 - Paper 1

Question 1

The diagram shows a cyclist during a race. (i) Many quantities can be measured during the race. Which of these quantities is a vector quantity? Put a cross (X) in... show full transcript

Worked Solution & Example Answer:The diagram shows a cyclist during a race - Edexcel - GCSE Physics - Question 1 - 2017 - Paper 1

Step 1

Which of these quantities is a vector quantity?

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Answer

The vector quantities from the given options are:

A velocity: This is a vector quantity as it has both magnitude and direction.

To indicate your answer, you would put a cross (X) next to A.

Step 2

Calculate the size of the resultant force that produces this acceleration.

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Answer

To calculate the resultant force, we use Newton's second law of motion:

$F = m imes a$

Where:

$F$ is the resultant force,
$m$ is the mass,
$a$ is the acceleration.

Given:

Total mass ( $m$ ) = 70.0 kg,
Acceleration ( $a$ ) = 2.4 m/s²,

We substitute the values into the formula:

$F = 70.0 ext{ kg} imes 2.4 ext{ m/s}^2$

Calculating this gives:

$F = 168 ext{ N}$

Thus, the size of the resultant force is 168 N.

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