Two carts connected by a 0.25 m spring hit a wall, compressing the spring to 0.1 m. The spring constant k is 100 N m . What is t
2 answers:
Given that,
Initial position of the spring, x₁ = 0.25 m
Final position of the spring, x₂ = 0.1 m
The spring constant of the spring, k = 100 N/m
To find,
The elastic potential energy stored from the spring's compression.
Solution,
The work done in moving a spring from on position to another is stored in the form of elastic potential energy. It can be given as follows :
So, the required energy is 2.62 J.
You might be interested in
a)
b)
c)
Explanation:
a)
The energy stored in a capacitor is given by
where
C is the capacitance of the capacitor
V is the potential difference across the plates of the capacitor
For the capacitor in this problem, before insering the dielectric, we have:
is its capacitance
V = 22.0 V is the potential difference across it
Therefore, the initial energy stored in the capacitor is:
b)
After the dielectric is inserted into the plates, the capacitance of the capacitor changes according to:
where
k = 3.55 is the dielectric constant of the material
C is the initial capacitance of the capacitor
Therefore, the energy stored now in the capacitor is:
where:
is the initial capacitance
V = 22.0 V is the potential difference across the plate
Substituting, we find:
C)
The initial energy stored in the capacitor, before the dielectric is inserted, is
The final energy stored in the capacitor, after the dielectric is inserted, is
Therefore, the change in energy of the capacitor during the insertion is:
So, the energy of the capacitor has increased by
A sample of an ideal gas is heated, and its kelvin temperature doubles. The average speed of the molecules in the sample will increases by a factor of
The root-mean square (RMS) velocity is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values. The RMS velocity is that of a wave through sub-surface layers of different interval velocities along a specific ray path.
Root mean square speed is a statistical measurement of speed.
The root mean square speed can be calculated as : V1 :
if temperature becomes double
let T1 is initial temperature
So , T2 = 2 * T1
now ,
Root mean square speed will be (V2) =
= *
= V1
Thus when temperature becomes double, the root mean square speed increases by a factor of
To learn more about root mean square velocity here
#SPJ4
Answer:
A.
Explanation:
Our values are defined by,
We can express also in a vectorial way, then
no values in
Acceleration as follow,
We know that velocity is given by,
We need to calculate for t=3, then
Our mass is 1000Kg, so the momentum is