1. A remote-control car has a mass of 1.5 kg . Its electric motor accelerates the car at \( 6 \mathrm{~m} / \mathrm{s}^{2} \). What force does the motor provide? Force: Mass: Acceleration:
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To find the force exerted by the motor, you can use Newton's second law of motion, which states that force equals mass times acceleration (F = m × a). For your remote-control car, with a mass (m) of 1.5 kg and an acceleration (a) of 6 m/s², the calculation would be: F = 1.5 kg × 6 m/s² = 9 N. So, the motor provides a force of 9 Newtons! Now, let’s dive a bit deeper into this: the force the motor exerts is what propels the car forward, but it also has to overcome any frictional forces acting against its movement. If the car is racing on a smooth surface, it can accelerate faster than if it were racing on a rough, uneven terrain where friction would play a larger role.