Question
An object with a mass of 2 kilograms is freely falling near Earth's surface. Which of the following choices provides the most accurate approximation of the magnitude of the gravitational force exerted by Earth on the object?
A. 2 N
B. 0.2 N
C. 0.0 N
D. 20 N
A. 2 N
B. 0.2 N
C. 0.0 N
D. 20 N
Answers
GPT-4o mini
To calculate the gravitational force exerted by Earth on an object, you can use the formula:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object, and
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) near the surface of the Earth).
For an object with a mass of 2 kilograms:
\[ F = 2 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 \]
\[ F \approx 19.62 \, \text{N} \]
Thus, the most accurate approximation of the gravitational force is approximately 20 N.
The correct choice is:
D. 20 N
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object, and
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) near the surface of the Earth).
For an object with a mass of 2 kilograms:
\[ F = 2 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 \]
\[ F \approx 19.62 \, \text{N} \]
Thus, the most accurate approximation of the gravitational force is approximately 20 N.
The correct choice is:
D. 20 N