This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Hey General, good to see you again. Here are the answers to your tasks: a) The physical features leading to the observation are: • The tractor has large tyres with a large contact area (4000 cm^2). This distributes its heavy weight over a wider surface. • The car has smaller tyres with a small contact area (250 cm^2). This concentrates its weight onto a smaller surface. b) Comparison of pressure exerted: First, convert mass to force (weight) and area to square meters. Assume acceleration due to gravity g = 10 m/s^2. 1 tonne = 1000 kg 1 cm^2 = 10^-4 m^2 Step 1: Calculate the pressure exerted by the tractor. Mass of tractor (m_T) = 4 tonnes = 4 × 1000 kg = 4000 kg Weight of tractor (F_T) = m_T × g = 4000 kg × 10 m/s^2 = 40000 N Contact area of tractor (A_T) = 4000 cm^2 = 4000 × 10^-4 m^2 = 0.4 m^2 Pressure exerted by tractor (P_T) is: P_T = (F_T)/(A_T) = 40000 N0.4 m^2 = 100000 Pa Step 2: Calculate the pressure exerted by the car. Mass of car (m_C) = 1 tonne = 1 × 1000 kg = 1000 kg Weight of car (F_C) = m_C × g = 1000 kg × 10 m/s^2 = 10000 N Contact area of car (A_C) = 250 cm^2 = 250 × 10^-4 m^2 = 0.025 m^2 Pressure exerted by car (P_C) is: P_C = (F_C)/(A_C) = 10000 N0.025 m^2 = 400000 Pa Step 3: Compare the pressures. The pressure exerted by the tractor is 100000 Pa. The pressure exerted by the car is 400000 Pa. The car exerts a higher pressure on the ground than the tractor, which is why it sinks. c) To enable the father's car to move on soft ground with ease, its contact area with the ground should be increased. This can be achieved by fitting the car with wider tyres or tracks (like those on a tractor). Increasing the area reduces the pressure exerted on the soft ground, preventing the car from sinking. d) One application in real life where knowledge on pressure is applied is in the design of snowshoes. Snowshoes have a large surface area that distributes a person's weight over a wider area, reducing the pressure on the snow and preventing the person from sinking. Send me the next one 📸