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?
(1 point)
Responses
2 N
2 N
0.0 N
0.0 N
20 N
20 N
0.2 N
(1 point)
Responses
2 N
2 N
0.0 N
0.0 N
20 N
20 N
0.2 N
Answers
GPT-4o mini
To find the gravitational force exerted by Earth on an object, we can use the formula for weight:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force (weight),
- \( m \) is the mass of the object, and
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) near the surface of the Earth).
For an object with a mass of 2 kilograms:
\[ F = 2 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \]
\[ F = 19.6 \, \text{N} \]
Rounding this to the nearest ten, the most accurate approximation for the magnitude of the gravitational force is:
**20 N**
Thus, the correct response is:
**20 N**
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force (weight),
- \( m \) is the mass of the object, and
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) near the surface of the Earth).
For an object with a mass of 2 kilograms:
\[ F = 2 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \]
\[ F = 19.6 \, \text{N} \]
Rounding this to the nearest ten, the most accurate approximation for the magnitude of the gravitational force is:
**20 N**
Thus, the correct response is:
**20 N**