Question

1. force overview

last lesson you learned what the relationship between acceleration, force and mass is.
\tdirectly proportional / inversely proportional / increase / decrease
force and acceleration
force is ___________ to acceleration, meaning if you _____ the force applied to an object, its acceleration will also _______ proportionally.
acceleration and mass
acceleration is ___________ to mass, meaning if you _____ the mass of an object, its acceleration will _______ for the same applied force.
mass and force
mass is ___________ to force, meaning if you _____ the mass of an object, the applied force needed to move the object will also _______ proportionally.

Explanation:

Step1: Analizar la relación Fuerza y Aceleración

Según la segunda ley de Newton ($F = ma$), la fuerza ($F$) y la aceleración ($a$) son directamente proporcionales cuando la masa ($m$) es constante. Entonces, si aumentamos la fuerza, la aceleración también aumenta.

• Fuerza es \underline{directly proportional} a aceleración, meaning if you \underline{increase} the force applied to an object, its acceleration will also \underline{increase} proportionally.

Step2: Analizar la relación Aceleración y Masa

De $F = ma$, si la fuerza es constante, la aceleración es inversamente proporcional a la masa. Entonces, si aumentamos la masa, la aceleración disminuye.

• Aceleración es \underline{inversely proportional} to mass, meaning if you \underline{increase} the mass of an object, its acceleration will \underline{decrease} for the same applied force.

Step3: Analizar la relación Masa y Fuerza

De $F = ma$, si la aceleración es constante, la masa y la fuerza son directamente proporcionales. Entonces, si aumentamos la masa, la fuerza necesaria también aumenta.

• Mass is \underline{directly proportional} to Force, meaning if you \underline{increase} the mass of an object, the applied force needed to move the object will also \underline{increase} proportionally.

Answer:

• Force and Acceleration: directly proportional; increase; increase
• Acceleration and Mass: inversely proportional; increase; decrease
• Mass and Force: directly proportional; increase; increase