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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 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-70-kg-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 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 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: C F = m × a This equation, known as Newton's second law of motion, establishes that the force acting on an object is equal to the mass of that object multiplied by its acceleration.

Step 2

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

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Answer

To calculate the force needed, we can use the formula derived from Newton's second law: F=mimesaF = m imes a Substituting the values: F=70extkgimes2.0extm/s2=140extkgm/s2F = 70 ext{ kg} imes 2.0 ext{ m/s}² = 140 ext{ kg·m/s}² The unit of force is the Newton (N), so the force needed to accelerate the cyclist is 140 N.

Step 3

Another cyclist travels 1200 m in a time of 80 s. Calculate the average speed of the cyclist.

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Answer

To calculate the average speed, we use the formula: ext{average speed} = rac{ ext{distance}}{ ext{time}} Substituting the values: ext{average speed} = rac{1200 ext{ m}}{80 ext{ s}} = 15 ext{ m/s} Therefore, the average speed of the cyclist is 15 m/s.

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