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An electric drill transfers 200 J of energy into a useful kinetic energy store. It wastefully transfers 92 Jof energy to the thermal store of the drill and the surroundings. What is the efficiency of this drill?Give your answer as a percentage to 2 significant figures. pasyarakatan pembuat

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An electric drill transfers 200 J of energy into a useful kinetic energy store. It wastefully transfers 92 Jof energy to the thermal store of the drill and the surroundings. What is the
efficiency of this drill?Give your answer as a percentage to 2 significant figures.
pasyarakatan pembuat

An electric drill transfers 200 J of energy into a useful kinetic energy store. It wastefully transfers 92 Jof energy to the thermal store of the drill and the surroundings. What is the efficiency of this drill?Give your answer as a percentage to 2 significant figures. pasyarakatan pembuat

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KeiraElite · Tutor for 8 years

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To determine the efficiency of the electric drill, we need to follow these steps:<br /><br />1. **Identify the total energy input and the useful energy output.**<br /> - The total energy input is the sum of the energy transferred to the useful kinetic energy store and the energy wasted as thermal energy.<br /> - The useful energy output is the energy transferred to the useful kinetic energy store.<br /><br />2. **Calculate the total energy input.**<br /> - Total energy input = Useful energy output + Wasted energy<br /> - Total energy input = \(200 \mathrm{~J}\) (useful) + \(92 \mathrm{~J}\) (wasted)<br /> - Total energy input = \(292 \mathrm{~J}\)<br /><br />3. **Calculate the efficiency.**<br /> - Efficiency is given by the ratio of the useful energy output to the total energy input, expressed as a percentage.<br /> - Efficiency = \(\left( \frac{\text{Useful energy output}}{\text{Total energy input}} \right) \times 100\)<br /> - Efficiency = \(\left( \frac{200 \mathrm{~J}}{292 \mathrm{~J}} \right) \times 100\)<br /><br />4. **Perform the calculation.**<br /> - Efficiency = \(\left( \frac{200}{292} \right) \times 100\)<br /> - Efficiency = \(0.6849 \times 100\)<br /> - Efficiency ≈ \(68.49\%\)<br /><br />5. **Round to two significant figures.**<br /> - Efficiency ≈ \(68\%\)<br /><br />**Final Answer:**<br />The efficiency of the electric drill is **68%**.
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