We read your photo as:

A car of mass 2100kg tows a caravan of mass 900kg along a level road. The car's engine produces a force of 14kN. @ Calculate the acceleration of the car and the caravan. B Find the tension in the link between the car and caravan.

Physics

ScanSolve AI Answer

Answers

2 parts
a

4.67 m/s2\text{4.67 m/s}^2

b

4200 N\text{4200 N}

Step-by-step solution

4 steps

Here's how to solve this problem:

Part a· 3 steps

Calculate the acceleration of the car and the caravan

  1. Calculate the total mass of the system.

    The car and caravan move together, so their masses combine.

    Mtotal=mcar+mcaravanM_{total} = m_{car} + m_{caravan} Mtotal=2100 kg+900 kgM_{total} = 2100\, \text{kg} + 900\, \text{kg} Mtotal=3000 kgM_{total} = 3000\, \text{kg}
  2. Convert the engine force to Newtons.

    The force is given in kilonewtons (kN), so convert it to Newtons (N).

    Fengine=14 kN=14×1000 NF_{engine} = 14\, \text{kN} = 14 \times 1000\, \text{N} Fengine=14000 NF_{engine} = 14000\, \text{N}
  3. Apply Newton's second law to find the acceleration.

    Using the formula F=maF = ma, where FF is the net force and mm is the total mass.

    Fengine=Mtotal×aF_{engine} = M_{total} \times a 14000 N=3000 kg×a14000\, \text{N} = 3000\, \text{kg} \times a a=14000 N3000 kga = \frac{14000\, \text{N}}{3000\, \text{kg}} a=143 m/s2a = \frac{14}{3}\, \text{m/s}^2 a≈4.67 m/s2a \approx 4.67\, \text{m/s}^2

    The acceleration of the car and caravan is 4.67 m/s2\boxed{\text{4.67 m/s}^2}.

Part b

4200 N\text{4200 N}

Find the tension in the link between the car and caravan

  1. Consider the forces acting on the caravan.

    The only horizontal force acting on the caravan is the tension (TT) from the link, pulling it forward.
    Using Newton's second law for the caravan: T=mcaravan×aT = m_{caravan} \times a.

    T=900 kg×143 m/s2T = 900\, \text{kg} \times \frac{14}{3}\, \text{m/s}^2 T=300×14 NT = 300 \times 14\, \text{N} T=4200 NT = 4200\, \text{N}

    The tension in the link is 4200 N\boxed{\text{4200 N}}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp