![A boat of volume 200 m³ floats on sea water of density 1030 kg m⁻³. Calculate the upthrust of the sea water on the boat. [g = 10 m s⁻²]](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1779681156398-982661642f4e087b.png&w=3840&q=75)
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
Welcome back Chikpa — missed you this week. 6.d) ii) A boat of volume 200 m^3 floats on sea water of density 1030 kg m^-3. Calculate the upthrust of the sea water on the boat. [g = 10 m s^-2] Step 1: Identify the given values. Volume of the boat (V_boat) = 200 m^3 Density of sea water (_water) = 1030 kg m^-3 Acceleration due to gravity (g) = 10 m s^-2 Step 2: Apply Archimedes' principle. Upthrust (F_B) is equal to the weight of the fluid displaced. The weight of the fluid displaced is calculated as V_displaced × _water × g. Step 3: Make an assumption to solve the problem. Since the mass of the boat is not provided, and the question asks for the upthrust, we assume that the given volume of the boat (200 m^3) refers to the volume of water displaced for the purpose of this calculation. This implies the boat is fully submerged or the question is asking for the upthrust if it were fully submerged. Step 4: Substitute the values and calculate the upthrust. F_B = V_displaced × _water × g F_B = 200 m^3 × 1030 kg m^-3 × 10 m s^-2 F_B = 2060000 N The upthrust of the sea water on the boat is 2060000 N. Drop the next question!