Question

A compact car has a maximum acceleration of 3.0 m/s2 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

`a_2=3.88m/s^2`

Step-by-step explanation:

From the Question we are told that:

Initial Mass
`m_1=1300kg`

Final mass
`m_2=1300+400=>1700kg`

`a_1=3.0m/s^2`

Generally the equation for Force is mathematically given by

`F=m_1a_1`

`F=1300*5`

`F=6500N`

Generally the equation for Final acceleration is mathematically given by

`F'=m_2*a_2`

`a_2=(6500)/(1700)`

`a_2=3.88m/s^2`