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5. What is the mass of a toy truck if [tex]$18 \, \text{N}$[/tex] of force is needed to accelerate the truck at [tex]$2 \, \text{m/s}^2$[/tex]?

[tex]\[
F = ma \quad \Rightarrow \quad m = \frac{18 \, \text{N}}{2 \, \text{m/s}^2}
\][/tex]

Sagot :

GinnyAnswer
To find the mass of the toy truck, we can use Newton's second law of motion, which states that force \( F \) is equal to mass \( m \) multiplied by acceleration \( a \), given by the formula:

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

The question provides the following values:
- Force \( F = 18 \, \text{N} \) (Newtons)
- Acceleration \( a = 2 \, \text{m/s}^2 \) (meters per second squared)

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

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

Substitute the given values into the equation:

[tex]\[ m = \frac{18 \, \text{N}}{2 \, \text{m/s}^2} \][/tex]

Now, perform the division:

[tex]\[ m = 9 \, \text{kg} \][/tex]

Therefore, the mass of the toy truck is [tex]\( 9 \, \text{kg} \)[/tex].
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