Which of the following would make the period longer? a) Increase the amplitude Decrease the mass b) Decrease the amplitude Increase the mass c) Decrease the spring constant Increase the spring constant

b) Decrease the amplitude Increase the mass.

Step-by-step explanation:

The period does not depend on the amplitude. The period depends on the spring constant, k and the mass, m.

Mathematically,

T = 2pi × sqrt(m/k)

The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same. Increasing the mass increases the period of oscillation.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

i think its a and d

step-by-step explanation: