Work done by gravity equals force times displacement

Steps:

• Work done by gravitational force: W = F × d, where d is displacement in the direction of the force.
• Calculate F: F = W / d = 450 J / 30 m = 15 N.
• Gravitational force: F = m × g, so g = F / m = 15 N / 6.0 kg = 2.5 m/s².
• Thus, F = 15 N and g = 2.5 m/s².

Why C is correct:

• Matches the work formula W = Fd and Newton's second law F = mg, yielding exact values 15 and 2.5.

Why the others are wrong:

• A: Incorrect F from dividing by mass prematurely; wrong g.
• B: Both values too small, likely from erroneous division by extra factors.
• D: Correct F but g inflated, perhaps from W/m instead of F/m.

Final answer: C