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2 (a) (i) Which of these is the correct equation that relates force, mass and acceleration? A F = m + a B F = m - a C F = m × a D F = m ÷ a (ii) A cyclist has a mass of 70 kg - Edexcel - GCSE Physics - Question 2 - 2020 - Paper 1

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2-(a)-(i)-Which-of-these-is-the-correct-equation-that-relates-force,-mass-and-acceleration?-----A-F-=-m-+-a---B-F-=-m---a---C-F-=-m-×-a---D-F-=-m-÷-a-----(ii)-A-cyclist-has-a-mass-of-70-kg-Edexcel-GCSE Physics-Question 2-2020-Paper 1.png

2 (a) (i) Which of these is the correct equation that relates force, mass and acceleration? A F = m + a B F = m - a C F = m × a D F = m ÷ a (ii) A cycl... show full transcript

Worked Solution & Example Answer:2 (a) (i) Which of these is the correct equation that relates force, mass and acceleration? A F = m + a B F = m - a C F = m × a D F = m ÷ a (ii) A cyclist has a mass of 70 kg - Edexcel - GCSE Physics - Question 2 - 2020 - Paper 1

Step 1

Which of these is the correct equation that relates force, mass and acceleration?

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Answer

The correct equation that relates force, mass, and acceleration is given by Newton's second law of motion, which is represented as:

F=maF = m \cdot a

This indicates that force (F) is equal to mass (m) multiplied by acceleration (a).

Step 2

Calculate the force needed to accelerate the cyclist at 2.0 m/s²:

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Answer

To calculate the force needed to accelerate the cyclist, we can use the formula:

F=maF = m \cdot a

Given that the mass (m) of the cyclist is 70 kg and the acceleration (a) is 2.0 m/s², we can substitute these values into the formula:

F=70extkg2.0extm/s2=140extNF = 70 ext{ kg} \cdot 2.0 ext{ m/s}^2 = 140 ext{ N}

Thus, the force needed to accelerate the cyclist is 140 N.

Step 3

Calculate the average speed of the cyclist.

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Answer

To find the average speed of the cyclist, we use the formula:

average speed=distancetime\text{average speed} = \frac{\text{distance}}{\text{time}}

Here, the distance traveled is 1200 m and the time taken is 80 s. Plugging in these values, we get:

average speed=1200 m80 s=15 m/s\text{average speed} = \frac{1200 \text{ m}}{80 \text{ s}} = 15 \text{ m/s}

Therefore, the average speed of the cyclist is 15 m/s.

Step 4

State two improvements the student could make to this method.

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Answer

  1. The student could use a more accurate measuring device, such as a trundle wheel or tape measure, to measure the distance between the posts more precisely.
  2. To minimize systematic errors such as parallax, the student could stand midway between the posts when timing the cyclist.

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