Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

force test 2025 to do: receive a grade question 27 not yet answered poi…

Question

force test 2025
to do: receive a grade
question 27
not yet answered
points out of 4.0
flag question
10 n
3 kg
25 n
what is the net force?
what is the acceleration?

Explanation:

Step1: Define forces

Let the left - ward force $F_1 = 10N$ and the right - ward force $F_2=25N$.

Step2: Calculate net force

Net force $F_{net}=F_2 - F_1$. Substitute the values: $F_{net}=25N - 10N$.
$F_{net}=15N$ (right - ward since $F_2>F_1$).

Step3: Calculate acceleration

According to Newton's second law $F = ma$, where $F = F_{net}$, $m = 3kg$. So $a=\frac{F_{net}}{m}$. Substitute $F_{net}=15N$ and $m = 3kg$ into the formula: $a=\frac{15N}{3kg}=5m/s^{2}$.

Answer:

Net Force: $15N$ (right - ward)
Acceleration: $5m/s^{2}$