Equations F= -kx F= m x a or F= m x g g= -9.8 m/s2 When a 0.50 kg-object is attached to a vertically supported spring, it stretches 0.10 m from the equilibrium position. Find k for the spring.

A.
49

B.
-49

C.
.050

D.
-0.05

A. 49

Explanation:

It is always nice to draw a free body diagram to visualize what is going on. (Or that is what my physics teacher told me haha)

Since you are given F=mg, you can substitute your given values (g=-9.8 and m=0.5) to solve for force.

F = -9.8 x 0.5 = -4.9 N

Then substitute -4.9 N and your given displacement (x=0.1) into your given equation to solve for the spring constant (k).

-4.9=-k(0.1) = -4.9/0.1 = -49

-49 = -k, so -49/-1 = 49

k=49

explanation:

as the height from which the ruler was dropped increased, the speed of the ruler at ryan's hand increased.

there is no correct list among the choices you've provided.

the list might look something like this:

-- baby human

-- piccolo

-- flute

-- soprano singer

-- trumpet

-- tenor singer

-- trombone

-- baritone singer

-- baritone horn

-- bass singer

-- tuba

since i had to make up the list myself, i made it easy on myself, and i didn't try to shuffle the string instruments and woodwinds into it too.