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: Calculate the force (weight) exerted by the block. The force is the weight of the block, which is mass multiplied by the acceleration due to gravity. F = m × g F = 5 kg × 10 m/s^2 F = 50 N Step 2: Determine the smallest possible contact area. To exert the greatest pressure, the block must rest on its smallest face. The dimensions are 8 cm, 20 cm, and 50 cm. The smallest area will be formed by the two smallest dimensions. A_min = 8 cm × 20 cm A_min = 160 cm^2 Step 3: Convert the smallest area to square meters. Since 1 m = 100 cm, then 1 m^2 = (100 cm)^2 = 10000 cm^2. A_min = 160 cm^2 × 1 m^210000 cm^2 A_min = 0.016 m^2 Step 4: Calculate the greatest possible pressure. Pressure is defined as force per unit area. P = (F)/(A_min) P = 50 N0.016 m^2 P = 3125 N/m^2 P = 3125 Pa The greatest possible pressure the block will exert on the ground is 3125 Pa. What's next?