To find the acceleration of the car with the new chassis, we can use Newton's second law of motion, which states that \( F = m \cdot a \), where \( F \) is the force applied, \( m \) is the mass of the object, and \( a \) is the acceleration.
Given:
- The force \( F = 2500 , \text{N} \)
- The mass of the new car \( m = \frac{1000 , \text{kg}}{2} = 500 , \text{kg} \)
We can rearrange the formula to solve for acceleration:
\[ a = \frac{F}{m} \]
Substituting the values we have:
\[ a = \frac{2500 , \text{N}}{500 , \text{kg}} = 5 , \text{m/s}^2 \]
Thus, the acceleration of the car with the new chassis is:
b. 5 m/s²