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
Step 1: Identify the given values. The centripetal force F_c = 25\, N. The mass of the body m = 0.5\, kg. The length of the string (which is the radius of the circle) r = 1.5\, m. Step 2: State the formula for centripetal force. The formula for centripetal force is: F_c = (mv^2)/(r) where v is the speed of the body. Step 3: Rearrange the formula to solve for speed (v). To find v, we rearrange the formula: v^2 = (F_c · r)/(m) v = sqrt((F_c · r)/(m)) Step 4: Substitute the given values into the formula. Substitute F_c = 25\, N, r = 1.5\, m, and m = 0.5\, kg: v = sqrt(25\, N) × 1.5\, m0.5\, kg Step 5: Calculate the speed. v = sqrt((37.5)/(0.5))\, m/s v = sqrt(75)\, m/s v ≈ 8.660\, m/s The speed of the body is approximately 8.66 m/s. Send me the next one 📸