If an object has a mass of 2.00 kg and experiences a gravitational force of 19.6 N, what is the acceleration due to gravity used in this calculation?

To determine the acceleration due to gravity when a 2.00 kg object experiences a gravitational force of 19.6 N, we use Newton's second law, which states that force equals mass times acceleration (F = m × a).

In this case, the force is the weight of the object due to gravity, which is calculated as follows:

[ F = m \cdot g ]

where F = 19.6 N (the gravitational force), m = 2.00 kg (the mass of the object), and g = acceleration due to gravity.

Rearranging the formula to find g gives:

[ g = \frac{F}{m} = \frac{19.6 \text{ N}}{2.00 \text{ kg}} = 9.8 \text{ m/sec}² ]

This calculation shows that the acceleration due to gravity is 9.8 m/sec², which is consistent with the standard value for gravity on Earth at sea level. This value reflects the acceleration that a freely falling object experiences due to Earth's gravitational pull.

The other options represent values of acceleration that are either slightly higher or lower than the standard Earth's gravitational acceleration, which is