An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. the spring stretches 2.2 cm before it reaches its equilibrium position.

if it were now allowed to oscillate by this spring, what would be its frequency?

Frequency, f = 3.35 Hz

Explanation:

It is given that,

Mass of the object, m = 8 kg

Stretching in the spring, x = 2.2 cm

When the spring is hanged up in the Earth's gravitational field, its weight is balanced by the force in the spring. So,

k is the spring constant

k = 3563.63 N/m

Let f is the frequency of oscillation. Its expression is given by :

f = 3.35 Hz

So, the frequency of oscillation by the spring is 3.35 Hz. Hence, this is the required solution.                                                                                                                                                                                                            

b.

explanation:

10.0

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.