Final answer:
Given the efficiency of 0.2, if the rate at which chemical energy from the fuel is transferred is 10 kW or 10000 watts, the rate at which energy is being transferred to its kinetic store equals the product of the efficiency and the energy input. Hence, the rate of energy transferred to the kinetic store is 2000 watts.
Step-by-step explanation:
The speedboat in question is being accelerated from rest and it's given that the efficiency at which energy is being transferred from the chemical energy store (fuel) to the kinetic energy store is 0.2. This means that only 20% of the energy from the fuel is effectively converted into kinetic energy. Therefore, if the rate at which the chemical energy is transferred from the fuel is 10 kW (or 10,000W), the rate at which energy is being transferred to its kinetic store can be calculated as:
Efficiency = (Energy output / Energy input)
0.2 = Energy output / 10000 W
Hence, Energy output (rate at which energy is being transferred to kinetic store) = 0.2 * 10000 W = 2000 W. In conclusion, the rate at which energy is being transferred to its kinetic store is 2000 Watts.
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