A 1120kg1120kg car pulls a boat on a trailer. (a) What total force resists the motion of the car, boat, and trailer, if the car exerts a 1898N1898N force on the road and produces an acceleration of 0.549m/s20.549m/s2? The mass of the boat plus trailer is 742kg742kg.

Respuesta :

Answer: 875.762 N

Explanation:

Given

[tex]mass of car(m_c)=1120 Kg[/tex]

[tex]Mass of boat +trailer(m_{bt}) =742 Kg[/tex]

Car exerts a force of 1898 N

[tex]Acceleration of system\left ( a\right ) is 0.549 m/s^2[/tex]

Therefore Force Equilibrium of system

[tex]F_{car}-f_{resist}=\left ( m_c+m_{bt}\right )a[/tex]

[tex]f_{resist}=1898-\left ( 1120+742\right )\left ( 0.549\right )[/tex]

[tex]f_{resist}=1898-1022.238=875.762 N[/tex]