A 1200-kg car pushes a 2100-kg truck that has a dead battery to the right. When the driver steps on the accelerator, the drive wheels of the car push against the ground with a force of 4500 N.Sort the following forces as relevant or not relevant to this situation. The symbols are defined as follows: normal force = n, tension force = T, horizontal force of the road on the car = Frc, horizontal force of the road on the truck = F rt, weight = w, force of the car pushing on the truck = F ct, and force of the truck pushing on the car = F tc.Which are relevant?

Respuesta :

Answer:

[tex]F_{c}[/tex]=2863.6 N

Explanation:

the force make the whole truck-car system with some acceleration a.

the force acting on the system is given below

F=([tex](m_{t}-+m_{c})*a[/tex]

the acceleration is as follows

a=F/([tex](m_{t}-+m_{c})

the resultant force acting on the car results inits movement with acceleration a.

   F-[tex]F_{c}[/tex]=ma

substituting  acceleration term

[tex]F_{c}[/tex]=( [tex](m_{t}*F)/([tex](m_{t}-+m_{c})*a[/tex]

[tex]F_{c}[/tex]=[tex]\frac{2100*4500}{2100+1200}[/tex]

[tex]F_{c}[/tex]=2863.6 N

the tension force T and the horizontal force Frt of the road are not relevant

The  force of the car pushing on the truck = F ct, and force of the truck pushing on the car = F tc are relevant