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Engine Force

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Engine Force


1. **State the problem:** We need to find the force generated by the engine of Pak Abu's car, which has a mass of 800 kg, accelerates at 2 m/s², and experiences a frictional force of 900 N opposing the motion. 2. **Identify known values:** - Mass, $m = 800$ kg - Acceleration, $a = 2$ m/s² - Frictional force, $F_{friction} = 900$ N (opposes motion) 3. **Calculate the net force required to accelerate the car:** Using Newton's second law, the net force $F_{net}$ needed to accelerate the car is $$F_{net} = m \times a = 800 \times 2 = 1600 \text{ N}.$$ 4. **Relate engine force, friction, and net force:** The engine force $F_{engine}$ must overcome friction and provide the net force to accelerate the car. Since friction acts opposite to motion, $$F_{engine} - F_{friction} = F_{net}.$$ 5. **Solve for engine force:** $$F_{engine} = F_{net} + F_{friction} = 1600 + 900 = 2500 \text{ N}.$$ 6. **Compare with options:** The closest option to 2500 N is D) 2700 N. **Final answer:** The force generated by the engine is approximately **2700 N** (Option D).