select all the correct answers. according to newton’s law of universal gravitation, which statements are…

select all the correct answers. 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.

select all the correct answers. 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.

Answer

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.

Explanation:

Step1: Recall Newton's law of universal gravitation

$F = G\frac{Mm}{r^{2}}$, where $F$ is the gravitational - force, $G$ is the gravitational constant, $M$ is the mass of the Earth, $m$ is the mass of the object, and $r$ is the distance from the center of the Earth to the object.

Step2: Analyze the effect of altitude

As altitude $h$ increases, $r=R + h$ (where $R$ is the radius of the Earth) increases. Since $F = G\frac{Mm}{r^{2}}$, when $r$ increases, the gravitational force $F$ decreases.

Step3: Analyze the effect of mass

From $F = G\frac{Mm}{r^{2}}$, when the mass $m$ of the object increases (while $M$, $G$, and $r$ remain constant), the gravitational force $F$ increases.

Step4: Analyze the effect of speed

The speed of an object does not appear in the formula $F = G\frac{Mm}{r^{2}}$, so the speed of the object has no direct effect on the gravitational force acting on it according to Newton's law of universal gravitation.