Answer:
0.79 s
Explanation:
We have to calculate the employee acceleration, in order to know the minimum time. According to Newton's second law:

The frictional force is maximum since the employee has to apply a maximum force to spend the minimum time. In y axis the employee's acceleration is zero, so the net force is zero. Recall that 
Now, we find the acceleration:

Finally, using an uniformly accelerated motion formula, we can calculate the minimum time. The employee starts at rest, thus his initial speed is zero:

Answer:
Explanation:
Given that:
angular frequency = 11.3 rad/s
Spring constant (k) = 
k = (11.3)² m
k = 127.7 m
where;
= 0.065 m
= 0.048 m
According to the conservation of energies;

∴




The stored heat i guess..
Answer:
Approximately
, assuming that this gas is an ideal gas.
Explanation:
- Let
and
denote the volume and pressure of this gas before the compression. - Let
and
denote the volume and pressure of this gas after the compression.
By Boyle's Law, the pressure of a sealed ideal gas at constant temperature will be inversely proportional to its volume. Assume that this gas is ideal. By this ideal gas law:
.
Note that in Boyle's Law,
is inversely proportional to
. Therefore, on the two sides of this equation, "final" and "initial" are on different sides of the fraction bar.
For this particular question:
.
.
.- The pressure after compression,
, needs to be found.
Rearrange the equation to obtain:
.
Before doing any calculation, think whether the pressure of this gas will go up or down. Since the gas is compressed, collisions between its particles and the container will become more frequent. Hence, the pressure of this gas should increase.
.