Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

word bank: attractive, larger, distance, planets, gravitational, mass, …

Question

word bank: attractive, larger, distance, planets, gravitational, mass, tides, gravity, main, attractive

  1. gravity is an ______ force, which means it pulls objects toward each other.
  2. the ______ the masses of two objects, the stronger the gravitational pull between them.
  3. gravitational force decreases as the ______ between two objects increases.

Explanation:

Brief Explanations
  1. Gravity is a force that attracts objects, so the word from the bank that fits is "attractive" (wait, the word bank has "attractive" and "gravitational"? Wait, the first sentence: "Gravity is an __ force, which means it pulls objects toward each other." The word should be "attractive" (since it's a force that attracts) or "gravitational"? Wait, the word bank: "attractive, larger, distance, planets, gravitational, mass, tides, gravity, main, attractive" (maybe a typo, but "attractive" is there. Wait, no, "gravitational" is also there. Wait, gravity is a gravitational force? Wait, no, the definition: gravity is an attractive force (because it pulls objects together). So first blank: "attractive"? Wait, no, the word bank has "attractive" and "gravitational". Wait, let's check the options. Wait, the word bank: "attractive, larger, distance, planets, gravitational, mass, tides, gravity, main, attractive" (maybe duplicate "attractive"). So 1. Gravity is an attractive force? No, wait, gravitational force is the force of gravity. Wait, maybe the first blank is "attractive" (since it pulls objects toward each other, so attractive force). Then 2. The the masses of two objects, the stronger the gravitational pull. The relationship is that larger mass means stronger gravity, so "larger". 3. Gravitational force decreases as the __ between two objects increases. The formula is \( F = G\frac{m_1m_2}{r^2} \), so distance (r) increases, force decreases. So:
  1. attractive (or gravitational? Wait, no, "attractive" is the property, "gravitational" is the type of force. Wait, the sentence: "Gravity is an ____ force, which means it pulls objects toward each other." So "attractive" because it's a force that attracts. So 1. attractive. 2. larger (the larger the masses, the stronger the pull). 3. distance (as distance increases, force decreases).

But let's confirm each:

  1. Gravity is an attractive force (since it pulls objects together, so attractive). The word bank has "attractive".
  1. The larger the masses of two objects, the stronger the gravitational pull (Newton's law of gravitation: \( F \propto m_1m_2 \), so larger mass means stronger force).
  1. Gravitational force decreases as the distance between two objects increases (from \( F = G\frac{m_1m_2}{r^2} \), r is distance, so as r increases, F decreases).

Answer:

  1. attractive
  2. larger
  3. distance