Question

Write a hypothesis about how the force applied to a cart affects the acceleration of the cart. Use the "if . . . then . . .because . . .” format and be sure to answer the lesson question: "How do force and mass affect the acceleration of an object?”

Answer 1

Answer:

"If the force applied to a cart is increased, then the acceleration of the cart increases, because acceleration is directly proportional to the force applied. If the mass of the cart is increased, then the acceleration decreases, because acceleration is inversely proportional to the mass."

Explanation:

This sentence can be explained by Newton's second law:

$F=ma$

where

F is the net force acting on the cart

m is the mass of the cart

a is the acceleration of the cart

We can re-write it solving for a:

$a=\frac{F}{m}$

this way, we see that:

- acceleration is directly proportional to the force: if the force increases, the acceleration increases

- acceleration is inversely proportional to the mass: if the mass increases, the acceleration decreases

Answer 2

The hypothesis is as follows: If the force applied to an cart is increased, then the acceleration of the cart increases.

HYPOTHESIS:

• Hypothesis is a probable explanation to a given problem or question. The hypothesis shows how the independent variable affects the dependent variable.

• The hypothesis is written in an IF, THEN statement format.

• According to this question, an increased force applied on a cart will cause the acceleration to increase. This means that there is a direct relationship between the force and the acceleration.

• Therefore, the hypothesis is as follows: If the force applied to an cart is increased, then the acceleration of the cart increases.

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