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An train car of total mass of 13000 kg is pulling into a station and slowing down with an acceleration of -4.56 m/s^2. Before the train pulls into the station, a group of 7 stowaway jump off the train. Each stowaway has a mass of 66 kg. If the braking force on the train remains the same, what will be the acceleration of the train once the stowaways jump out of the train?

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Answer:

[tex]-4.728 m/s^{2}[/tex]

Explanation:

F=ma where F is the force, m is the mass of object and a is acceleration

Initial mass is 13000 Kg

Final mass=1300-(66*7)=12538 Kg

[tex]F=m\times a=m_i \times a_i=m_f_\times a_f[/tex] where [tex]m_1[/tex] and [tex]m_f[/tex] are initial and final mass respectively, [tex]a_i[/tex] and [tex]a_f[/tex] are initial and final acceleration respectively

By substitution

[tex]13000\times -4.56=12538\times a_f[/tex]

[tex]a_f=-4.728026799\approx -4.728 m/s^{2}[/tex]

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