What is the force of gravity exerted on an object with a mass of 5 tonnes?

To find the force of gravity acting on an object, you can use the formula:

[ F = m \cdot g ]

where ( F ) is the force in newtons (N), ( m ) is the mass in kilograms (kg), and ( g ) is the acceleration due to gravity, which is approximately ( 9.81 , m/s² ) on Earth.

First, it's important to convert the mass from tonnes to kilograms. Since 1 tonne is equal to 1,000 kilograms, a mass of 5 tonnes is:

[ 5 , tonnes = 5 \times 1000 = 5000 , kg ]

Next, apply the formula:

[ F = 5000 , kg \times 9.81 , m/s² ]

Calculating the force gives:

[ F = 49050 , N ]

This result corresponds to the magnitude of the gravitational force exerted on an object with a mass of 5 tonnes. Thus, the calculated force is 49,050 N, which confirms the reasoning behind the first choice as the correct answer. The values for other options stem from potential calculation errors or incorrect assumptions about the mass or