Question
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
Answer
4.6
(186 Votes)
Keira
Elite · Tutor for 8 years
Answer
To determine the efficiency of the electric drill, we need to follow these steps:1. **Identify the total energy input and the useful energy output.** - The total energy input is the sum of the energy transferred to the useful kinetic energy store and the energy wasted as thermal energy. - The useful energy output is the energy transferred to the useful kinetic energy store.2. **Calculate the total energy input.** - Total energy input = Useful energy output + Wasted energy - Total energy input =
(useful) +
(wasted) - Total energy input =
3. **Calculate the efficiency.** - Efficiency is given by the ratio of the useful energy output to the total energy input, expressed as a percentage. - Efficiency = \(\left( \frac{\text{Useful energy output}}{\text{Total energy input}} \right) \times 100\) - Efficiency = \(\left( \frac{200 \mathrm{~J}}{292 \mathrm{~J}} \right) \times 100\)4. **Perform the calculation.** - Efficiency = \(\left( \frac{200}{292} \right) \times 100\) - Efficiency =
- Efficiency ≈
5. **Round to two significant figures.** - Efficiency ≈
**Final Answer:**The efficiency of the electric drill is **68%**.