Question

1. which shopping cart would have a greater acceleration if they were each pushed with the same amount of force? 19. if the empty shopping cart was filled with rocks so its mass was twice as much as the cart with groceries, which cart would have a greater acceleration if they were both pushed with the same amount of force?

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. We can rewrite it as $a=\frac{F}{m}$.

Step2: Analyze question 18

When the force $F$ is the same, and we want to find which cart has a greater acceleration. According to $a = \frac{F}{m}$, the cart with less mass will have a greater acceleration. An empty shopping cart has less mass than a cart with groceries, so the empty shopping cart has a greater acceleration.

Step3: Analyze question 19

Let the mass of the empty cart be $m_1$ and the mass of the filled cart be $m_2 = 2m_1$, and the force on both be $F$. For the empty cart, $a_1=\frac{F}{m_1}$. For the filled cart, $a_2=\frac{F}{m_2}=\frac{F}{2m_1}$. So $a_1 = 2a_2$, the empty cart has a greater acceleration.

Answer:

1. The empty shopping cart.
2. The empty shopping cart.