Final answer:
The work done lifting a 9.10-kg box onto a shelf 1.80 m high is approximately 160 J, calculated using the formula W = mgh.
Step-by-step explanation:
To determine how much work is done lifting a 9.10-kg box onto a shelf 1.80 m high, we use the formula for work done against gravity, which is W = mgh, where W is the work, m is the mass in kilograms, g is the acceleration due to gravity (approximately 9.8 m/s2), and h is the height in meters.
Work done = mass (kg) \u00d7 gravity (m/s2) \u00d7 height (m)
Substituting the given values, the work done = 9.10 kg \u00d7 9.8 m/s2 \u00d7 1.80 m
Therefore, the work done = 9.10 \u00d7 9.8 \u00d7 1.80 \u2248 160.38 J, which we can round to 160 J as the closest value provided in the question options.