Final answer:
The acceleration due to gravity at the location where the 7.50 kg television shows a weight of 78.4 N on a spring scale is approximately 10.45 m/s².
Step-by-step explanation:
If a 7.50 kg television reads 78.4 N on a spring scale, the acceleration due to gravity at that location can be calculated using the formula for weight (w), which is the product of mass (m) and the acceleration due to gravity (g): w = mg. Given that the weight of the television is 78.4 N and we know the mass is 7.50 kg, we can rearrange the formula to solve for gravity (g): g = w / m.
Inserting the known values gives us:
g = 78.4 N / 7.50 kg = 10.4533 m/s²
Thus, the acceleration due to gravity at that location would be approximately 10.45 m/s².