2. a large truck with a mass of 3200 kg is pulling a trailer with a mass of 2400 kg. both are accelerating…

Explanation:

Step1: Identify the formula

We use Newton's second law, ( F = ma ), where ( F ) is force, ( m ) is mass, and ( a ) is acceleration.

Step2: Calculate tension force (trailer)

For the trailer, mass ( m_{trailer} = 2400 , \text{kg} ), acceleration ( a = 0.45 , \text{m/s}^2 ).
Using ( F = ma ), tension ( T = m_{trailer} \times a = 2400 \times 0.45 ).
( T = 1080 , \text{N} ).

Step3: Calculate total mass for truck's pulling force

Total mass ( m_{total} = 3200 + 2400 = 5600 , \text{kg} ).

Step4: Calculate truck's pulling force

Using ( F = ma ), pulling force ( F = m_{total} \times a = 5600 \times 0.45 ).
( F = 2520 , \text{N} ).

Answer:

Tension force between truck and trailer: ( \boldsymbol{1080 , \text{N}} )
Force with which truck is pulling: ( \boldsymbol{2520 , \text{N}} )