if a automobile with a mass of 500kg hits another car that has a mass of 650kg produces a force of 1800n, find the acceleration

To find the acceleration, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = m * a). Rearranging the formula, we have acceleration (a) equals force (F) divided by mass (m).

Given:
Mass of the first car (m1) = 500 kg
Mass of the second car (m2) = 650 kg
Force of impact (F) = 1800 N

First, we need to calculate the total mass by adding the masses of both cars:
Total mass (m) = m1 + m2

Substituting the given values:
Total mass (m) = 500 kg + 650 kg
= 1150 kg

Now we can calculate the acceleration:
Acceleration (a) = F / m

Substituting the values:
Acceleration (a) = 1800 N / 1150 kg

Now we can solve for acceleration using a calculator:
a ≈ 1.5652 m/s²

Therefore, the acceleration of the two cars during the collision is approximately 1.5652 m/s².