Weight (W) is related to mass (m) by the formula W = mg, where g is the acceleration due to gravity (approximately 9.8 m/s²). Given W = 1 N, the mass of the block is m = W/g = 1 N / 9.8 m/s². According to Newton's second law of motion, the force (F) acting on an object is equal to its mass (m) multiplied by its acceleration (a): F = ma. Given acceleration a = 1 m/s², the force is F = (1/9.8 kg) (1 m/s²) = 1/9.8 N.