We read your photo as:

A tractor (4 tonnes, 4000 cm² tyre contact area) and a car (1 tonne, 150 cm² tyre contact area) are on soft ground. Explain the physical features enabling the tractor to move easily and the car to sin

Physics

ScanSolve AI Answer

Answer

b

100000 Pa\text{100000 Pa}

666667 Pa\text{666667 Pa}

Step-by-step solution

3 steps

Here are the solutions to your tasks:

Part a

The physical features on the two vehicles leading to the observation in the scenario.

The tractor has a large mass (4 tonnes) but is equipped with large tyres that provide a significant contact area (4000 cm²). This large area distributes its weight, resulting in low pressure on the soft ground, allowing it to move easily. In contrast, the car has a smaller mass (1 tonne) but smaller tyres with a much smaller contact area (150 cm²). This concentrates its weight, leading to higher pressure and causing it to sink.

Part b

100000 Pa\text{100000 Pa}

The comparison of the pressure exerted by each of the two vehicles on the ground.

  1. Convert masses to kilograms and areas to square meters.

    Given: 1 tonne=1000 kg1 \, \text{tonne} = 1000 \, \text{kg}, 1 m2=10000 cm21 \, \text{m}^2 = 10000 \, \text{cm}^2.
    Assume acceleration due to gravity g=10 m/s2g = 10 \, \text{m/s}^2.

    For the tractor:
    Mass mT=4 tonnes=4×1000 kg=4000 kgm_T = 4 \, \text{tonnes} = 4 \times 1000 \, \text{kg} = 4000 \, \text{kg}
    Area AT=4000 cm2=4000×10−4 m2=0.4 m2A_T = 4000 \, \text{cm}^2 = 4000 \times 10^{-4} \, \text{m}^2 = 0.4 \, \text{m}^2

    For the car:
    Mass mC=1 tonne=1×1000 kg=1000 kgm_C = 1 \, \text{tonne} = 1 \times 1000 \, \text{kg} = 1000 \, \text{kg}
    Area AC=150 cm2=150×10−4 m2=0.015 m2A_C = 150 \, \text{cm}^2 = 150 \times 10^{-4} \, \text{m}^2 = 0.015 \, \text{m}^2

  2. Calculate the force (weight) exerted by each vehicle.

    Force F=mgF = mg.
    For the tractor:

    FT=mTg=4000 kg×10 m/s2=40000 NF_T = m_T g = 4000 \, \text{kg} \times 10 \, \text{m/s}^2 = 40000 \, \text{N}

    For the car:

    FC=mCg=1000 kg×10 m/s2=10000 NF_C = m_C g = 1000 \, \text{kg} \times 10 \, \text{m/s}^2 = 10000 \, \text{N}
  3. Calculate the pressure exerted by each vehicle.

    Pressure P=FAP = \frac{F}{A}.
    For the tractor:

    PT=FTAT=40000 N0.4 m2=100000 PaP_T = \frac{F_T}{A_T} = \frac{40000 \, \text{N}}{0.4 \, \text{m}^2} = 100000 \, \text{Pa}

    For the car:

    PC=FCAC=10000 N0.015 m2≈666666.67 PaP_C = \frac{F_C}{A_C} = \frac{10000 \, \text{N}}{0.015 \, \text{m}^2} \approx 666666.67 \, \text{Pa}

    Comparison:
    The pressure exerted by the tractor is 100000 Pa100000 \, \text{Pa}.
    The pressure exerted by the car is approximately 666667 Pa666667 \, \text{Pa}.
    The car exerts significantly more pressure on the ground than the tractor.
    The pressure exerted by the tractor is 100000 Pa\boxed{\text{100000 Pa}} and by the car is approximately 666667 Pa\boxed{\text{666667 Pa}}.

Part c

The modifications that should be made to the father's car to enable it to move on soft ground with ease.

To enable the car to move on soft ground easily, the pressure it exerts on the ground must be reduced. This is achieved by increasing the contact area between the car and the ground. Modifications could include:

  • Fitting wider tyres to the car.
  • Using more tyres (e.g., dual wheels) or tracks (like a tank) to spread the weight over a larger area.

Part d

One application in real life where knowledge on pressure is applied.

Snowshoes are designed with a large surface area to distribute a person's weight over a wider area, reducing the pressure on the snow and preventing them from sinking.

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