Question

Find the mass of the loop. express your answer in terms of the variables s , d , and rhom . you may found the mass as m=rhom⋅v .

a) m = rhom * s * d
b) m = rhom / (s * d)
c) m = rhom - s - d
d) m = rhom + s + d

Answer 1

To calculate the mass of the loop, the formula m = rhom * s * d is used, indicating that the mass is the product of the material density (rhom), the linear distance representing the loop's circumference (s), and its thickness (d).

Step-by-step explanation:

To find the mass of the loop, we need to consider its volume and density. The question provides a way to calculate mass using the formula m = rhom ⋅ v, where 'm' is the mass, 'rhom' is the density of the material, and 'v' is the volume of the loop. As the loop can be assumed to be a thin, one-dimensional object, its volume 'v' can be represented by the product of its cross-sectional area and length. However, no specific cross-sectional area value is provided, so we can only infer that 'v' is proportional to a linear distance 's' in meters, possibly representing the circumference of the loop, and the uniform thickness 'd' in meters. Therefore, the applicable formula would be m = rhom ⋅ s ⋅ d, expressed in terms of the variables provided.