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A moon vehicle has a mass of 212 kg and a length of 3 metres - AQA - A-Level Maths: Pure - Question 11 - 2022 - Paper 2

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A moon vehicle has a mass of 212 kg and a length of 3 metres. On the moon the vehicle has a weight of 345 N. Calculate a value for acceleration due to gravity on t... show full transcript

Worked Solution & Example Answer:A moon vehicle has a mass of 212 kg and a length of 3 metres - AQA - A-Level Maths: Pure - Question 11 - 2022 - Paper 2

Step 1

Calculate the acceleration due to gravity on the moon

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Answer

To find the acceleration due to gravity, we can use the formula that relates weight (W), mass (m), and acceleration due to gravity (g):

W=mimesgW = m imes g

Where:

  • W = weight of the vehicle = 345 N
  • m = mass of the vehicle = 212 kg
  • g = acceleration due to gravity on the moon

We can rearrange the formula to solve for g:

g=Wmg = \frac{W}{m}

Substituting in the values:

g=345 N212 kgg = \frac{345 \text{ N}}{212 \text{ kg}}

Calculating this gives:

g≈1.63 ms−2g \approx 1.63 \text{ ms}^{-2}

Thus, the correct answer to circle is 1.63 ms−2^{-2}.

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