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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 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-×-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 × a D F = m + a (ii) A cyc... 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 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 is C: F=m×aF = m × a, which states that force is the product of mass and acceleration.

Step 2

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, we can use the formula:
F=m×aF = m × a
Given that the mass m=70m = 70 kg and acceleration a=2.0a = 2.0 m/s², we have:
F=70extkg×2.0extm/s2=140extNF = 70 ext{ kg} × 2.0 ext{ m/s²} = 140 ext{ N}
Thus, the force needed is 140 N (Newtons).

Step 3

Calculate the average speed of the cyclist.

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Answer

To calculate the average speed, we use the formula:
average speed=distancetime\text{average speed} = \frac{\text{distance}}{\text{time}}
Here, the distance is 1200 m and the time is 80 s. Therefore,
average speed=1200extm80exts=15extm/s\text{average speed} = \frac{1200 ext{ m}}{80 ext{ s}} = 15 ext{ m/s}
The average speed of the cyclist is 15 m/s.

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