An automobile vehcile has a mass of `1500 kg` What must be the force between the vehcile and road if the vehcile is to be stopped with a negative acceleration of `1.7 m//s^(2)` ?

Explanation

To solve the given problem, we need to calculate the force required to stop an automobile vehicle with a mass of 1500 kg, which is experiencing a negative acceleration of 1.7 m/s².

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Mass of the vehicle (m) = 1500 kg
- Acceleration (a) = -1.7 m/s² (negative because it is deceleration)

2. **Use Newton's Second Law of Motion:**
According to Newton's second law, the force (F) acting on an object is given by the formula:
\[ F = m \cdot a \]

3. **Substitute the Values into the Formula:**
Now, substitute the values of mass and acceleration into the formula:
\[ F = 1500 \, \text{kg} \cdot (-1.7 \, \text{m/s}^2) \]

4. **Calculate the Force:**
Perform the multiplication:
\[ F = 1500 \cdot -1.7 = -2550 \, \text{N} \]

5. **Interpret the Result:**
The negative sign indicates that the force is acting in the opposite direction to the motion of the vehicle, which is expected when stopping the vehicle.

### Final Answer:
The force between the vehicle and the road must be **-2550 N**.

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