Question

The equations s1 = 18 0.4m and s2 = 11.2 0.54m give the lengths of two different springs in centimeters, s1 and s2, as mass amounts in grams, m, are separately added to each. What is the length of spring s1 when the mass is 50 grams?

Answer 1

To determine the length of spring s1 for a 50-gram mass, plug the value into the equation s1 = 18 + 0.4m, yielding s1 = 38 centimeters.

Step-by-step explanation:

To find the length of spring s1 when the mass is 50 grams, we can substitute the given mass into the equation for s1. The equation given is s1 = 18 + 0.4m, where m is the mass in grams.

Plugging in 50 grams for m, we get:

s1 = 18 + (0.4 × 50)
s1 = 18 + 20
s1 = 38 cm

Therefore, the length of spring s1 when the mass is 50 grams is 38 centimeters.