Answer:
U0/2
Explanation:
The potential energy stored by a capacitor is given by:
(1)
where
C is the capacitance
V is the potential difference applied across the capacitor
The capacitance of the parallel plate capacitor, at the beginning, is given by
where is the permittivity of free space, A is the area of the plates, and d is the separation between the plates. Substituting this into eq.(1), we can write the initial potential energy stored in the capacitor as
Later, the separation between the plates is doubled:
while the potential difference is kept constant. Therefore, we can calculate the new potential energy:
So, we see that the potential energy has been halved.
Answer:
1000 Hz
Explanation:
<em>The frequency would be 1000 Hz.</em>
The frequency, wavelength, and speed of a wave are related by the equation:
<em>v = fλ ..................(1)</em>
where v = speed of the wave, f = frequency of the wave, and λ = wavelength of the wave.
Making f the subject of the formula:
<em>f = v/λ.........................(2)</em>
Also, speed (v) = distance/time.
From the question, distance = 900 m, time = 3.0 s
Hence, v = 900/3.0 = 300 m/s
Substitute v = 300 and λ = 0.3 into equation (2):
f = 300/0.3 = 1000 Hz
Answer:
For the air:
Final Velocity 160.77m/s
Final Elevation 1,317.43m
the Internal, Kinetic, and Potential Energy changes will be equal.
Explanation:
In principle we know the following:
- <u>Internal Energy:</u> is defined as the energy contained within a system (in terms of thermodynamics). It only accounts for any energy changes due to the internal system (thus any outside forces/changes are not accounted for). In S.I. is defined as where is the mass (kg), is a specific constant-volume (kJ/kg°C) and is the Temperature change in °C.
- <u>Kinetic Energy:</u> denotes the work done on an object (of given mass ) so that the object at rest, can accelerate to reach a final velocity. In S.I. is defined as where is the velocity of the object in (m/s).
- <u>Potential Energy:</u> denotes the energy occupied by an object (of given mass ) due to its position with respect to another object. In S.I. is defined as , where is the gravity constant equal to and is the elevation (meters).
<em>Note: The Internal energy is unaffected by the Kinetic and Potential Energies.</em>
<u>Given Information:</u>
- Temperature Change 0°C → 18°C ( thus °C )
- Object velocity we shall call it and , for initial and final, respectively. Here we also know that
- Object elevation we shall call it and , for initial and final, respectively. Here we also know that
∴<em> We are trying to find and of the air where , and are equal.</em>
Lets look at the change in Energy for each.
<u>Step 1: Change in Kinetic Energy=Change in Internal Energy</u>
Here we recall that and mass is the same everywhere. Thus we have:
Eqn(1)
<u>Step 2: Change in Potential Energy=Change in Internal Energy</u>
Here we recall that and mass is the same everywhere. Thus we have:
Eqn(2).
Finally by plugging the known values in Eqns (1) and (2) we obtain:
Thus we can conclude that for the air final velocity and final elevation the internal, kinetic, and potential energy changes will be equal.
- Weight = (mass) x (gravity)
6.86 N = (mass) x (9.8 m/s²)
Mass = (6.86 N) / (9.8 m/s²)
Mass = (6.86 kg-m/s²) / (9.8 m/s²)
Mass = (6.86/9.8) kg
Mass = 0.7 kilogram
<em>I would use the 500-gram weight and the 200-gram weight,</em> and hang them both from the end of the thread. Then the total mass on the end of the thread is 700 grams. When I take it to Earth, it will weigh 6.86 N .
Answer:
calculate by urself u don't know this question