Weight equals mass times gravitational field strength

Steps:

• Recall the definition: weight W is the force due to gravity on an object.
• Use the formula: W = m × g, where m is mass and g is gravitational field strength.
• Rearrange the formula to solve for mass: divide both sides by g to get m = W / g.
• Verify units: weight in newtons, g in N/kg, so m in kg, which matches.

Why B is correct:

• It directly follows from the standard formula W = m g, rearranged to isolate mass.

Why the others are wrong:

• A: Multiplies weight by g, which would give units of force squared over acceleration, not mass.
• C: Divides g by W, yielding acceleration over force, which is not mass.
• D: Subtracts g from W, mixing force and acceleration units, resulting in nonsense.

Final answer: B