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Which two factors have an inverse relationship?Group of answer choicesforce and accelerationforce and massmass and gravitymass and acceleration

Question

Which two factors have an inverse relationship?

Group of answer choices

  • force and acceleration
  • force and mass
  • mass and gravity
  • mass and acceleration
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Solution

To determine which two factors have an inverse relationship, let's analyze the choices provided.

  1. Force and Acceleration: According to Newton's Second Law F=ma F = ma , where F F is force, m m is mass, and a a is acceleration, force and acceleration are directly related when mass is constant. Thus, they do not have an inverse relationship.

  2. Force and Mass: Again, from Newton's Second Law, increasing mass while keeping force constant results in a decrease in acceleration, but does not indicate that force and mass have an inverse relationship themselves.

  3. Mass and Gravity: The force of gravity depends on mass (as expressed in the formula F=Gm1m2r2 F = G \frac{m_1 m_2}{r^2} ), where m1 m_1 and m2 m_2 are the masses of two objects. While gravity pulls on mass, this relationship is more of a direct correlation rather than inverse.

  4. Mass and Acceleration: Referring back to F=ma F = ma , if mass increases and force remains constant, acceleration decreases, indicating an inverse relationship between mass and acceleration.

Final Answer

The two factors that have an inverse relationship are mass and acceleration.

This problem has been solved

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