Suppose you use a piece of fishing line to hang a large object from the ceiling. The line has a test strength of 125 lbs. Convert this to newtons, and determine the maximum mass that can be supported before the line breaks
1 lb =0.454 kg
125 lb= 56.7 kg (max mass)
mg=56.7•9.8 =555.66 N
To convert pounds to newtons, we can use the conversion factor that 1 pound is equal to 4.45 newtons.
Step 1: Convert the given test strength from pounds to newtons.
125 lbs * 4.45 N/lb = 556.25 N
Step 2: To determine the maximum mass that can be supported before the line breaks, we need to use the formula F = m * g, where F is the force (in newtons), m is the mass (in kilograms), and g is the acceleration due to gravity (approximately 9.8 m/s^2).
To rearrange the formula and solve for mass (m), we have:
m = F / g
Substituting the known values:
m = 556.25 N / 9.8 m/s^2 ≈ 56.68 kg
Therefore, the maximum mass that can be supported before the line breaks is approximately 56.68 kg.