Question

According to Newton’s law of universal gravitation, which statements are true?


As we move to higher altitudes, the force of gravity on us decreases.
As we move to higher altitudes, the force of gravity on us increases.
As we gain mass, the force of gravity on us decreases.
As we gain mass, the force of gravity on us increases.
As we move faster, the force of gravity on us increases.


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Answer 1

Answer:

Statement 1 and 4 are correct and rest are incorrect.

Explanation:

1. As we move to higher altitudes, the force of gravity on us decreases.

2. As we move to higher altitudes, the force of gravity on us increases.

3. As we gain mass, the force of gravity on us decreases.

4. As we gain mass, the force of gravity on us increases.

5. As we move faster, the force of gravity on us increases.

These are the 5 statements.

According to Newton's laws, statement 1 and 4 are correct and rest are incorrect because force is inversely proportional to distance.

Thanks!

Answer 2

The true statement from the given statement is:

1st statement: "As we move to higher altitudes, the force of gravity on us decreases."

• This can be explained by the following expression gravitation force according to the law of Newton.

    => Gravitational force ∝$\frac{mass of objects}{square of the distance between the centre of mass}$

• As distance is not directly proportional to the gravitational force between two objects, it means that as the distance increase, gravity on us decreases.
• With higher altitudes distance from the centre of the earth also increases and therefore force on us due to gravity decreases.

4th statement: "As we gain mass, the force of gravity on us increases."

• From the above-given expression it is clear that with an increase in mass, the force of gravity also increases.
• This is because the gravitational force and mass of objects are proportional directly to each other.

• Other statements are opposite to the correct answers hence they are wrong and only 1st and 4th one is correct.