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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 x a D F = m + a (ii) A cyclist has a mass of 70kg - Edexcel - GCSE Physics Combined Science - 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-x-a----D-F-=-m-+-a--(ii)-A-cyclist-has-a-mass-of-70kg-Edexcel-GCSE Physics Combined Science-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 x 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 x a D F = m + a (ii) A cyclist has a mass of 70kg - Edexcel - GCSE Physics Combined Science - 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:

F=m×aF = m \times a

Hence, the answer is option C.

Step 2

A cyclist has a mass of 70kg. Calculate the force needed to accelerate the cyclist at 2.0 m/s²: State the unit.

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Answer

To find the force needed, we use the formula:

F=m×aF = m \times a

Given:

  • Mass (m) = 70 kg
  • Acceleration (a) = 2.0 m/s²

Substituting in the values:

F=70 kg×2.0 m/s2=140 NF = 70 \text{ kg} \times 2.0 \text{ m/s}^2 = 140 \text{ N}

The unit for force is Newtons (N).

Step 3

Calculate the average speed of the cyclist.

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Answer

To calculate the average speed, we use the equation:

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

Given:

  • Distance = 1200 m
  • Time = 80 s

Substituting in the values:

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.

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