To find the acceleration of the car with the new chassis, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
In this case, the force provided by the car engine is 2500 N. If the mass of the new chassis car is half of the original mass (1000 kg), then the mass of the new chassis car is:
\[ m = \frac{1000 , \text{kg}}{2} = 500 , \text{kg} \]
Now we can rearrange the formula to find acceleration \( a \):
\[ a = \frac{F}{m} \]
Substituting the known values:
\[ a = \frac{2500 , \text{N}}{500 , \text{kg}} = 5 , \text{m/s}^2 \]
Thus, the acceleration of the car with the new chassis is:
\[ \boxed{5 , \text{m/s}^2} \]
The correct answer is (b) 5 m/s².
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