Answer: d. 5 m/s^2
Explanation:
Acceleration is the change in velocity in a given time.
a = (30-20)/2 = 5
To develop this problem it will be necessary to apply the concepts related to the frequency of a spring mass system, for which it is necessary that its mathematical function is described as

Here,
k = Spring constant
m = Mass
Our values are given as,


Rearranging to find the spring constant we have that,




Therefore the spring constant is 1.38N/m
Answer:

Explanation:
As we know that box was initially at rest
so here work done by all forces on the box = change in its kinetic energy
so we will have

now we have
m = 10 kg

L = 3.5 m
so we will have


so final speed is given as

A) 
The magnitude of the capacitive reactance is given by

where
is the angular frequency
C is the capacitance
While the magnitude of the inductive capacitance is given by

where L is the inductance.
Since we want the two reactances to be equal, we have

So we find

B) 7449 rad/s
In this case, we have
is the inductance
is the capacitance
Therefore, substituting in the formula for the angular frequency, we find

C) 
Now we can us the formulas of the reactances written in part A). We have:
- Capacitive reactance:

- Inductive reactance:

<h3>With a uniform acceleration of 2 m/s ²</h3>