Question

1. apply: suppose the cart contains 2 fans and 3 blocks. recall that each fan supplies a force of 4.0 n. the total mass of the cart will be 22.5 kg. what will be the acceleration of the cart? ________ check your answer using the gizmo.

Explanation:

Step1: Calculate total force

There are 2 fans and each supplies a force of 4.0 N, so the total force $F = 2\times4.0\ N=8.0\ N$.

Step2: Use Newton's second - law

Newton's second - law is $F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration. We want to find $a$, and we know $F = 8.0\ N$ and $m = 22.5\ kg$. Rearranging the formula for $a$ gives $a=\frac{F}{m}$.
Substitute $F = 8.0\ N$ and $m = 22.5\ kg$ into the formula: $a=\frac{8.0}{22.5}\ m/s^{2}\approx0.36\ m/s^{2}$.

Answer:

$0.36\ m/s^{2}$