Question

how is the motion of the object different between the small stretch and the large stretch: it moved at a different speed when the weight was added and when we added more of a pull to the car/ cart. remember that acceleration is a measure of the change in speed with respect to time. write a statement that describes the relationship between the force applied to the object and the resulting acceleration of the object. begin your statement with: “the greater the constant force pushing or pulling on an object, the...” now write a statement that describes the relationship between the force applied to the object and the resulting acceleration of the object with respect to mass. begin your statement with: “the greater the mass of the object the... ”

Explanation:

Step1: Recall Newton's second - law

Newton's second - law is $F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration.

Step2: Answer the first relationship question

From $F = ma$, when mass $m$ is constant, if $F$ increases, $a$ increases. So, the greater the constant force pushing or pulling on an object, the greater the resulting acceleration of the object.

Step3: Answer the second relationship question

From $F = ma$, we can rewrite it as $a=\frac{F}{m}$. When $F$ is constant, if $m$ increases, $a$ decreases. So, the greater the mass of the object, the smaller the resulting acceleration for a given applied force.

Answer:

The greater the constant force pushing or pulling on an object, the greater the resulting acceleration of the object.
The greater the mass of the object, the smaller the resulting acceleration for a given applied force.