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
b) To find g, we use the formula derived in the previous step: g = (2E - MV^2)/(2Mh). Given values: E = 1200 Joules M = 18.5 kg V = 10 m/s h = 1.5 m Step 1: Substitute the given values into the formula. g = (2(1200) - (18.5)(10)^2)/(2(18.5)(1.5)) Step 2: Calculate the numerator. 2(1200) - (18.5)(10)^2 = 2400 - (18.5)(100) = 2400 - 1850 = 550 Step 3: Calculate the denominator. 2(18.5)(1.5) = 37 × 1.5 = 55.5 Step 4: Divide the numerator by the denominator to find g. g = (550)/(55.5) ≈ 9.9099 Rounding to three significant figures: g = 9.91 m/s^2 2) To make L the subject of the formula T = 2 sqrt((L)/(g)): Step 1: Divide both sides by 2 to isolate the square root term. (T)/(2) = sqrt((L)/(g)) Step 2: Square both sides of the equation to eliminate the square root. ((T)/(2))^2 = (sqrt((L)/(g)))^2 (T^2)/((2)^2) = (L)/(g) (T^2)/(4^2) = (L)/(g) Step 3: Multiply both sides by g to make L the subject. L = g × (T^2)/(4^2) L = (gT^2)/(4^2) 3 done, 2 left today. You're making progress.