QUESTION IMAGE
Question
b. claim, evidence, reasoning (cer)
analysis:
- based on your observations, make a claim about factors affecting gravity, support it with evidence, and use reasoning to connect your evidence to your claim.
claim: (how is gravitational force affected by mass?)
evidence: (how do you know?)
1.
2.
3.
reasoning: (how does your evidence support your claim?)
Step1: State the claim
The gravitational force between two objects is directly proportional to the product of their masses.
Step2: Provide evidence
- Planets with larger masses have stronger gravitational pulls. For example, Jupiter has a much larger mass than Earth and its gravitational force is stronger, which can be seen from the fact that it has a large number of moons that are held in orbit by its gravity.
- On Earth, heavier objects (with more mass) are pulled down more strongly by Earth's gravity. We feel the weight of an object as the force of gravity acting on it, and a heavier - massed object has a greater weight.
- In Newton's law of universal gravitation, \(F = G\frac{m_1m_2}{r^2}\), where \(F\) is the gravitational force, \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between their centers of mass. When \(r\) is constant, an increase in \(m_1\) or \(m_2\) will lead to an increase in \(F\).
Step3: Explain the reasoning
The evidence from the behavior of planets, the experience of weight on Earth, and the mathematical formula of Newton's law of universal gravitation all show that as the mass of objects involved in a gravitational interaction increases, the gravitational force between them increases. This is because the mass is a fundamental property that determines the strength of the gravitational field around an object, and thus affects the gravitational force between two objects.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
Claim: The gravitational force between two objects is directly proportional to the product of their masses.
Evidence: 1. Planets with larger masses have stronger gravitational pulls (e.g., Jupiter). 2. Heavier objects on Earth are pulled down more strongly. 3. Newton's law of universal gravitation \(F = G\frac{m_1m_2}{r^2}\) shows the relationship between mass and gravitational force.
Reasoning: The evidence from real - world observations and the mathematical formula indicates that an increase in mass leads to an increase in gravitational force.