A string has a mass of 0.180 kg and a length of 1.60 m.What is the linear density, m, of the string?

1. ### Break Down the Problem

We need to find the linear density $m$ of the string, which is defined as the mass per unit length.

2. ### Relevant Concepts

The formula for linear density is given by: $m = \frac{M}{L}$ where: $M$ = mass of the string (in kg)
$L$ = length of the string (in m)

3. ### Analysis and Detail

Given:

• Mass $M = 0.180$ kg
• Length $L = 1.60$ m

Now, we can substitute the values into the formula:

$m = \frac{0.180 \text{ kg}}{1.60 \text{ m}}$

Calculating $m$:

$m = 0.1125 \text{ kg/m}$

4. ### Verify and Summarize

We computed the linear density using the given mass and length and followed the correct formula. The result is consistent with our expectations for linear density, and the calculation is verified.

Final Answer

The linear density of the string is $0.1125 \text{ kg/m}$.