Answer:
The acceleration of the car is 4.10 m/s².
Explanation:
The acceleration of the car can be found using the following equation:
[tex] F = ma [/tex] (1)
Where:
F is the force
m is the mass
a is the acceleration
The force is:
[tex]F = F_{p} - F_{f}[/tex] (2)
Where:
F(p) is the parallel force = 560 N
F(f) is the force of friction = 45 N
By entering equation (2) into (1) we have:
[tex]F_{p} - F_{f} = (m_{c} + m_{p}*2)a[/tex]
[tex] 560 N - 45 N = (2000 kg + 55*2 kg)a [/tex]
[tex] a = \frac{2000 kg + 55*2 kg}{515 N} = 4.10 m/s^{2} [/tex]
Therefore, the acceleration of the car is 4.10 m/s².
I hope it helps you!
