A truck of mass 1000 kg is attached to a trailer of mass 3000 kg. The truck exerts a forward force of 8000 N. The frictional force on the truck is 1000 N and on the trailer is 2000 N. Calculate the ac

Here are the calculations for the problems.

Part (b) - Truck and Trailer

(i) Acceleration of the Truck and the trailer

Step 1: Calculate the total mass of the system.

$$M = m_A + m_B = 1000 \text{ kg} + 3000 \text{ kg} = 4000 \text{ kg}$$

Step 2: Calculate the net force acting on the system.
The net force is the force exerted by the truck minus the total frictional forces.

$$F_{net} = F_{truck} - F_{fA} - F_{fB}$$ $$F_{net} = 8000 \text{ N} - 1000 \text{ N} - 2000 \text{ N} = 5000 \text{ N}$$

Step 3: Calculate the acceleration using Newton's second law ($F_{net} = M a$).

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