Question

question 2
three children push a sled: ↑75 n, ↑45 n, and ↓30 n. if the sleds mass is 15 kg, what is its acceleration?
○ 5 m/s² ↑
○ 8 m/s² ↑
○ 6 m/s² ↑
○ 7 m/s² ↑

Explanation:

Step1: Calculate net force

The upward forces are 75 N and 45 N, and the downward force is 30 N. Net - force $F_{net}=(75 + 45-30)\text{ N}=90\text{ N}$ (upward).

Step2: Use Newton's second - law

Newton's second - law is $F = ma$, where $F$ is the net force, $m$ is the mass, and $a$ is the acceleration. We know $F_{net}=90\text{ N}$ and $m = 15\text{ kg}$. Rearranging for $a$, we get $a=\frac{F_{net}}{m}$.
Substituting the values: $a=\frac{90\text{ N}}{15\text{ kg}} = 6\text{ m/s}^2$ (upward).

Answer:

$6\text{ m/s}^2\uparrow$