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5. A cyclist and their bike are travelling at a constant velocity of energy store is 2.7kl. 8=43m/s.Theirkinequetsm=(2times 7k)/(V^2) __

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5. A cyclist and their bike are travelling at a constant velocity of energy store is 2.7kl. 8=43m/s.Theirkinequetsm=(2times 7k)/(V^2) __

5. A cyclist and their bike are travelling at a constant velocity of energy store is 2.7kl. 8=43m/s.Theirkinequetsm=(2times 7k)/(V^2) __

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SineadMaster · Tutor for 5 years

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Calculate the value above will get the answer as the final combined mass of the cyclist and their bike.

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## Step 1: Understanding the principle<br />To find the combined mass of the cyclist and their bike, we need to rearrange the kinetic energy equation. The formula of kinetic energy is \(E_k = \frac{1}{2} \times M \times V^2\). By rearranging the formula, we can calculate the combined mass \(m\).<br /><br />### Formula derivation:<br />\(M = \frac{2 \times E_k}{V^2}\)<br /><br />## Step 2: Insert values into the formula<br />We know the values of \(E_k\) (which is 2.7kl or 2700 J when it's converted from kilojoules to joules) and \(V\) which is 8.43 m/s. Substitute the known values into the retrieved formula.<br /><br />The calculation will be:<br />\(M = \frac{2 \times 2700 J}{(8.43 \: m/s)^2}\)
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