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
Here's how to solve question 4: Part a) The stress in the wire. Step 1: Calculate the force exerted by the mass. The force (F) is the weight of the mass, where g = 9.81 m/s^2. F = m × g F = 20 kg × 9.81 m/s^2 F = 196.2 N Step 2: Calculate the cross-sectional area of the wire. The diameter (D) is 4 mm, which is 4 × 10^-3 m. The area (A) of a circular cross-section is given by ((D)/(2))^2. Use = 3.142. A = ((D)/(2))^2 A = 3.142 × (4 × 10^-3 m2)^2 A = 3.142 × (2 × 10^-3 m)^2 A = 3.142 × (4 × 10^-6 m^2) A = 1.2568 × 10^-5 m^2 Step 3: Calculate the stress in the wire. Stress () is force per unit area. = (F)/(A) = 196.2 N1.2568 × 10^-5 m^2 = 15611075.75 Pa = 15.61 × 10^6 Pa = 15.61 MPa Part b) The strain in the wire. Step 1: Convert the change in length to meters. The stretch ( L) is 0.35 mm, which is 0.35 × 10^-3 m. The original length (L) is 3 m. Step 2: Calculate the strain. Strain () is the ratio of the change in length to the original length. = ( L)/(L) = 0.35 × 10^-3 m3 m = 0.00011666... = 1.17 × 10^-4 Drop the next question 📸