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
Morning black — let's get this done. Question 6: A square based brass plate is 2mm high and has a mass of 1.05kg. The density of the brass is 8.4g/cm³. Calculate the length of the plate in centimeters. Step 1: Convert all given quantities to consistent units. The density is given in g/cm³, so convert mass to grams and height to centimeters. Given mass (m) = 1.05 kg. m = 1.05 kg × 1000 g1 kg = 1050 g Given height (h) = 2 mm. h = 2 mm × 1 cm10 mm = 0.2 cm Given density () = 8.4 g/cm^3. Step 2: Use the density formula ( = (m)/(V)) to calculate the volume (V) of the brass plate. V = (m)/() Substitute the converted mass and given density: V = 1050 g8.4 g/cm^3 V = 125 cm^3 Step 3: Use the formula for the volume of a square-based plate. For a square base with side length L, the area of the base is L^2. The volume is the base area multiplied by the height. V = L^2 × h Rearrange the formula to solve for L^2: L^2 = (V)/(h) Substitute the calculated volume and the converted height: L^2 = 125 cm^30.2 cm L^2 = 625 cm^2 Step 4: Take the square root of L^2 to find the length L. L = sqrt(625 cm)^2 L = 25 cm The length of the plate is 25 cm. Send me the next one 📸