Question
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:
Ask by Reese Higgins. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The motor provides a force of 9 newtons (N) to accelerate the remote-control car.
Solution
To determine the force provided by the motor of the remote-control car, we can use Newton's second law of motion, which states:
\[
\text{Force} (F) = \text{Mass} (m) \times \text{Acceleration} (a)
\]
### Given:
- **Mass (m):** 1.5 kg
- **Acceleration (a):** \( 6 \, \text{m/s}^2 \)
### Calculation:
\[
F = m \times a = 1.5 \, \text{kg} \times 6 \, \text{m/s}^2 = 9 \, \text{N}
\]
### **Results:**
- **Force:** \( 9 \, \text{N} \)
- **Mass:** \( 1.5 \, \text{kg} \)
- **Acceleration:** \( 6 \, \text{m/s}^2 \)
**Therefore, the motor provides a force of 9 newtons (N) to accelerate the remote-control car.**
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Simplify this solution Mind Expander
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.
