Suppose you need 10.0 m of Grade 70 tow chain, which has a diameter of [tex]$3 / 8^{\prime \prime}$[/tex] and weighs [tex]$2.16 kg / m$[/tex], to tow a car. How would you calculate the mass of this much chain?

Set the math up, but don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

[tex]$ ext { mass of chain }=$[/tex]

Question

Suppose you need 10.0 m of Grade 70 tow chain, which has a diameter of [tex]$3 / 8^{\prime \prime}$[/tex] and weighs [tex]$2.16 kg / m$[/tex], to tow a car. How would you calculate the mass of this much chain?

Set the math up, but don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

[tex]$	ext { mass of chain }=$[/tex]

GinnyAnswer · Answer

The problem requires calculating the mass of a chain given its length and weight per meter. 
 Multiply the length of the chain by its weight per meter. 
 The expression is: 10.0 m × 2.16 m kg ​ . 
 The mass of chain is: 10.0 m × 2.16 m kg ​ ​ 
 
 Explanation 
 
 Problem Analysis We are given the length of the chain needed (10.0 m) and the weight of the chain per meter (2.16 kg/m). We need to find the total mass of the chain. 
 
 Solution Plan To find the total mass, we will multiply the length of the chain by its weight per meter. 
 
 Calculations The mass of the chain is given by:

mass of chain = length of chain × weight per meter 
 Substituting the given values: 
 mass of chain = 10.0 m × 2.16 m kg ​ 
 So the expression for the mass of the chain is: 
 mass of chain = 10.0 m × 2.16 m kg ​ 
 
 Final Answer The mass of the chain can be calculated by multiplying the length and the weight per meter, ensuring that the units are correctly represented in the expression. 
 
 mass of chain = 10.0 m × 2.16 m kg ​ 
 Examples 
 Imagine you're buying a metal rod from a hardware store. The rod costs $5 per meter, and you need 3 meters. To calculate the total cost, you multiply the length you need (3 meters) by the cost per meter ($5/meter), giving you a total cost of $15. This is a similar concept to calculating the mass of the chain, where you multiply the length of the chain by its mass per unit length to find the total mass.

Anonymous · Answer

To find the mass of the chain, multiply the length (10.0 m) by the weight per meter (2.16 kg/m). This results in the expression: mass of chain = 10.0 m × 2.16 kg/m. This expression will allow for the calculation of the total mass of the chain in kilograms. 
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