Given:
The mass of the car, M=1400 kg
The mass of the trailer, m=580 kg
The acceleration of the car and the trailer, a=2.20 m/s²
To find:
The force exerted by the trailer on the car.
The net force acting on the car.
Explanation:
From Newton's second law, the force exerted on the trailer by the car is given by,
[tex]F=ma[/tex]
On substituting the known values,
[tex]\begin{gathered} F=580\times2.20 \\ =1276\text{ N} \end{gathered}[/tex]
From Newton's third law, the force exerted by the car on the trailer is equal and opposite to the force exerted by the trailer on the car.
Thus the force exerted by the trailer on the car is -1276 N.
The net force acting on the car is given by,
[tex]F_n=Ma[/tex]
On substituting the known values,
[tex]\begin{gathered} F_n=1400\times2.20 \\ =3080\text{ N} \end{gathered}[/tex]
Final answer:
Thus the force exerted by the trailer on the car is -1276 N
The net force acting on the car is 3080 N
