select all the correct answers.\n\naccording to newtons law of universal gravitation, which statements are…

select all the correct answers.\n\naccording to newtons law of universal gravitation, which statements are true?\n\n- as we move to higher altitudes, the force of gravity on us decreases.\n- as we move to higher altitudes, the force of gravity on us increases.\n- as we gain mass, the force of gravity on us decreases.\n- as we gain mass, the force of gravity on us increases.\n- as we move faster, the force of gravity on us increases.

select all the correct answers.\n\naccording to newtons law of universal gravitation, which statements are true?\n\n- as we move to higher altitudes, the force of gravity on us decreases.\n- as we move to higher altitudes, the force of gravity on us increases.\n- as we gain mass, the force of gravity on us decreases.\n- as we gain mass, the force of gravity on us increases.\n- as we move faster, the force of gravity on us increases.

Answer

Explanation:

Step1: State the law of universal gravitation

The gravitational force $F$ between two masses $m_1$ and $m_2$ separated by distance $r$ is: $$F = G \frac{m_1 m_2}{r^2}$$

Step2: Analyze the effect of altitude

Higher altitude increases the distance $r$ from Earth's center. Since $F \propto \frac{1}{r^2}$, force decreases.

Step3: Analyze the effect of mass

The force is directly proportional to mass ($F \propto m_1$). Thus, gaining mass increases the force.

Step4: Analyze the effect of speed

Newton's law of gravitation depends only on mass and distance, not on velocity.

Answer:

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