The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?

Respuesta :

hi.
your answer is s=3/10m
hope this helps!!!

Answer:

The required equation is [tex]s=\frac{3}{10}m[/tex]

Step-by-step explanation:

Given: The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters.

To find : Which equation relates the mass of the object, m, and the length of the spring, s?

Solution :

Let the mass of the object  m,

Length of the spring s,

When a 30-gram object is attached, the spring stretches 9 centimeters.

i.e, the times length of the object is attached to spring is [tex]\frac{9}{30}=\frac{3}{10}[/tex]

The length of a spring varies directly with the mass of an object that is attached to it.

According to question,

[tex]s=\frac{3}{10}m[/tex]

i.e, length of the spring is 3 by 10 times the mass of the object.            

Therefore, The required equation is [tex]s=\frac{3}{10}m[/tex]