Answered

The chart shows masses and velocities of four objects.

Motion of Four Objects

\begin{tabular}{|l|c|c|}
\hline
Object & Mass (kg) & Velocity (m/s) \\
\hline
W & 12 & 5 \\
\hline
X & 15 & 8 \\
\hline
Y & 18 & 2 \\
\hline
Z & 28 & 10 \\
\hline
\end{tabular}

Which lists the objects in order, from least to greatest momentum?

A. [tex]$W, X, Y, Z$[/tex]

B. [tex]$Z, Y, X, W$[/tex]

C. [tex]$Z, X, W, Y$[/tex]

D. [tex]$Y, W, X, Z$[/tex]



Answer :

GinnyAnswer
To solve this problem, we need to calculate the momentum for each object. Momentum ([tex]\(p\)[/tex]) is given by the formula:

[tex]\[ p = m \times v \][/tex]

where [tex]\(m\)[/tex] is the mass and [tex]\(v\)[/tex] is the velocity of the object.

Let's calculate the momentum for each object:

1. Object W:
- Mass [tex]\( = 12 \)[/tex] kg
- Velocity [tex]\( = 5 \)[/tex] m/s
- Momentum [tex]\( = 12 \times 5 = 60 \)[/tex] kg·m/s

2. Object X:
- Mass [tex]\( = 15 \)[/tex] kg
- Velocity [tex]\( = 8 \)[/tex] m/s
- Momentum [tex]\( = 15 \times 8 = 120 \)[/tex] kg·m/s

3. Object Y:
- Mass [tex]\( = 18 \)[/tex] kg
- Velocity [tex]\( = 2 \)[/tex] m/s
- Momentum [tex]\( = 18 \times 2 = 36 \)[/tex] kg·m/s

4. Object Z:
- Mass [tex]\( = 28 \)[/tex] kg
- Velocity [tex]\( = 10 \)[/tex] m/s
- Momentum [tex]\( = 28 \times 10 = 280 \)[/tex] kg·m/s

Now that we have calculated the momentum for each object, we can list them in increasing order of their momentum:

- Momentum of [tex]\( Y = 36 \)[/tex] kg·m/s
- Momentum of [tex]\( W = 60 \)[/tex] kg·m/s
- Momentum of [tex]\( X = 120 \)[/tex] kg·m/s
- Momentum of [tex]\( Z = 280 \)[/tex] kg·m/s

Hence, the correct order from least to greatest momentum is:

[tex]\[ Y, W, X, Z \][/tex]

Therefore, the correct answer is:

[tex]\[ D) \; Y, W, X, Z \][/tex]

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