Physics Homework ?- Acceleration and forces

Question

A compact car has a maximum acceleration of 5.0 m/s^2 when it carries only the driver and has a total mass of 1300 kg. What is its maximum acceleration after picking up four passengers and their luggage, adding an additional 400 kg of mass?

Answer 1

F = ma

a₁₃₀₀ = 5 m/s², so F = (1300 kg)(5 m/s²) = 6500 N

a = F/m

If a₁₃₀₀ = (6500 N)/(1300 kg) = 5 m/s²

An additional 400 kg brings the mass up to 1700 kg

So a₁₇₀₀ = (6500 N)/(1700 kg) = 3.8 m/s²

Answer

The maximum acceleration after picking up four passengers and their luggage, adding an additional 400 kg of mass, is 3.8 m/s²