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

Each fan supplies 4.0 N, and there are 2 fans. So the total force $F$ is $F = 4.0\times2=8.0$ 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 know $F = 8.0$ N and $m = 22.5$ kg. Rearranging for $a$, we get $a=\frac{F}{m}$.

Step3: Calculate acceleration

Substitute $F = 8.0$ N and $m = 22.5$ kg into the formula: $a=\frac{8.0}{22.5}\approx0.36$ m/s².

Answer:

0.36 m/s²