Question
What is the gravitational force experienced by a 50g object dropped from the same height as the balls in the given problem, assuming the same conditions apply?
Answers
GPT-4o mini
To determine the gravitational force experienced by a 50g object, we can use Newton's law of universal gravitation. The gravitational force \( F \) acting on an object due to gravity near the surface of the Earth can be calculated using the formula:
\[
F = m \cdot g
\]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object (in kilograms), and
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on the surface of the Earth).
1. Convert the mass from grams to kilograms:
\[
50 \, \text{g} = 0.050 \, \text{kg}
\]
2. Substitute the values into the formula:
\[
F = 0.050 \, \text{kg} \cdot 9.81 \, \text{m/s}^2
\]
3. Calculate the gravitational force:
\[
F = 0.050 \cdot 9.81 \approx 0.4905 \, \text{N}
\]
Thus, the gravitational force experienced by a 50g object dropped from the same height is approximately **0.49 N**.
\[
F = m \cdot g
\]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object (in kilograms), and
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on the surface of the Earth).
1. Convert the mass from grams to kilograms:
\[
50 \, \text{g} = 0.050 \, \text{kg}
\]
2. Substitute the values into the formula:
\[
F = 0.050 \, \text{kg} \cdot 9.81 \, \text{m/s}^2
\]
3. Calculate the gravitational force:
\[
F = 0.050 \cdot 9.81 \approx 0.4905 \, \text{N}
\]
Thus, the gravitational force experienced by a 50g object dropped from the same height is approximately **0.49 N**.