A 40 kg bag of stones weighs approximately 392 Newtons when calculated using Earth's gravitational acceleration of 9.8 m/s². The formula for weight is F = ma, where F is the force in Newtons, m is mass in kilograms, and a is acceleration due to gravity. The initial claim of 302 Newtons is incorrect, likely due to a typographical error. The correct calculation shows that the weight is 40 kg multiplied by 9.8 m/s². Therefore, the weight of the bag of stones is confirmed to be 392 Newtons.