What is the force of gravity on a person with a mass of 75 kg?

To determine the force of gravity acting on a person, we use the formula:

[

F = m \times g

]

where ( F ) is the force (in Newtons), ( m ) is the mass (in kilograms), and ( g ) is the acceleration due to gravity (approximately ( 9.81 , \text{m/s}^2 ) on the surface of the Earth).

For a person with a mass of 75 kg, the calculation would be:

[

F = 75 , \text{kg} \times 9.81 , \text{m/s}^2

]

[

F = 735.75 , \text{N}

]

This result shows that the force of gravity acting on a person with that mass is 735.75 N, which aligns with the choice selected. This force represents the weight of the person, indicating how much gravitational pull they experience due to Earth's gravity.

In contrast, the other choices do not correctly represent the force of gravity under the conditions provided. For instance, the value 7.5 N does not account for the full effect of gravity on the person’s mass,