Question

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.

Answer 1

Answer: 875.762 N

Step-by-step explanation:

Given

`mass of car(m_c)=1120 Kg`

`Mass of boat +trailer(m_(bt)) =742 Kg`

Car exerts a force of 1898 N

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

Therefore Force Equilibrium of system

`F_(car)-f_(resist)=\left ( m_c+m_(bt)\right )a`

`f_(resist)=1898-\left ( 1120+742\right )\left ( 0.549\right )`

`f_(resist)=1898-1022.238=875.762 N`