Question
A 4 kg and 6 kg bowling ball are dropped from the same height at the same time. The two balls strike the ground at the same time. Which statement is true about the force due to gravity on the balls?
Responses
A The 4 kg ball has a greater force of gravity exerted on it.The 4 kg ball has a greater force of gravity exerted on it.
B The 6 kg ball has a greater force of gravity exerted on it.The 6 kg ball has a greater force of gravity exerted on it.
C The two balls have the same gravitational forces exerted on them.The two balls have the same gravitational forces exerted on them.
D There is not enough information to draw a conclusion about the gravitation forces.
Responses
A The 4 kg ball has a greater force of gravity exerted on it.The 4 kg ball has a greater force of gravity exerted on it.
B The 6 kg ball has a greater force of gravity exerted on it.The 6 kg ball has a greater force of gravity exerted on it.
C The two balls have the same gravitational forces exerted on them.The two balls have the same gravitational forces exerted on them.
D There is not enough information to draw a conclusion about the gravitation forces.
Answers
GPT-4o mini
The correct response is:
**B** The 6 kg ball has a greater force of gravity exerted on it.
The force of gravity acting on an object can be calculated using the equation \( F = m \cdot g \), where \( F \) is the gravitational force, \( m \) is the mass of the object, and \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth).
For the two balls:
- For the 4 kg ball: \( F = 4 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 = 39.24 \, \text{N} \)
- For the 6 kg ball: \( F = 6 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 = 58.86 \, \text{N} \)
Therefore, the 6 kg ball experiences a greater gravitational force than the 4 kg ball.
**B** The 6 kg ball has a greater force of gravity exerted on it.
The force of gravity acting on an object can be calculated using the equation \( F = m \cdot g \), where \( F \) is the gravitational force, \( m \) is the mass of the object, and \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth).
For the two balls:
- For the 4 kg ball: \( F = 4 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 = 39.24 \, \text{N} \)
- For the 6 kg ball: \( F = 6 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 = 58.86 \, \text{N} \)
Therefore, the 6 kg ball experiences a greater gravitational force than the 4 kg ball.