Answered

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It takes [tex]$12 \, N$[/tex] of force to accelerate a wagon at [tex]3 \, \text{m/s}^2[/tex]. What is the mass of the wagon? Use the equation below to calculate the answer: [tex]F = ma[/tex]

Force [tex]=[/tex] mass [tex]\times[/tex] acceleration

A. [tex]4 \, \text{kg}[/tex]
B. [tex]8 \, \text{kg}[/tex]
C. [tex]15 \, \text{kg}[/tex]
D. [tex]32 \, \text{kg}[/tex]

Sagot :

GinnyAnswer
Certainly! To solve this problem, we need to use the given formula:

[tex]\[ F = ma \][/tex]

Where:
- \( F \) is the force applied, which is 12 N (Newtons).
- \( m \) is the mass of the wagon, which we need to find.
- \( a \) is the acceleration, which is 3 \( \text{m/s}^2 \) (meters per second squared).

We are asked to find the mass \( m \). To do this, we need to rearrange the formula to solve for \( m \):

[tex]\[ m = \frac{F}{a} \][/tex]

Now, we can substitute in the given values:

[tex]\[ m = \frac{12 \, \text{N}}{3 \, \text{m/s}^2} \][/tex]

When we divide 12 by 3, we get:

[tex]\[ m = 4 \, \text{kg} \][/tex]

Therefore, the mass of the wagon is:

[tex]\[ \boxed{4 \, \text{kg}} \][/tex]

So, the correct answer is 4 kg.
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