Answer:
C. molecules speed up as more thermal energy is added
Explanation:
The molecules will simply speed up as more thermal energy is added to the solid.
Thermal energy is a form of kinetic energy which is set in motion.
- Heat causes kinetic energy build up in a body.
- As the molecules of the solid gains heat, they will continue to increase in thermal energy.
- They are forced to start vibrating about their fixed point.
- Thereafter, when they have enough energy, they break free from the forces holding them.
- Therefore, they move from a state of rest to one with a very high kinetic energy where the molecules moves rapidly.
- This is why a solid will change to liquid and sometimes eventually gas
Answer:
f = 3.09 Hz
Explanation:
This is a simple harmonic motion exercise where the angular velocity is
w² =
to find the constant (k) of the spring, we use Hooke's law with the initial data
F = - kx
where the force is the weight of the body that is hanging
F = W = m g
we substitute
m g = - k x
k =
we calculate
k =
k = 3.769 10² m
we substitute in the first equation
w² =
w = 19.415 rad / s
angular velocity and frequency are related
w = 2πf
f =
f = 19.415 / 2pi
f = 3.09 Hz
Answer:
L= 0.059 mH
Explanation:
Given that
R = 855 Ω and C = 6.25 μF
V= 84 V
Frequency
ω = 51900 1/s
We know that
![\omega=\sqrt{\dfrac{1}{LC}}](https://tex.z-dn.net/?f=%5Comega%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7BLC%7D%7D)
L=Inductance
C=Capacitance
ω =angular Frequency
ω² L C =1
(51900)² x L x 6.25 x 10⁻⁶ = 1
L= 5.99 x 10⁻⁵ H
L= 0.059 mH
Answer:0.1759 v
Explanation:
Intensity of wave at receiver end is
I=![\frac{P_{avg}}{A}](https://tex.z-dn.net/?f=%5Cfrac%7BP_%7Bavg%7D%7D%7BA%7D)
I=![\frac{3.80\times 10^3}{4\times \pi \times \left ( 4\times 1609.34\right )^2}](https://tex.z-dn.net/?f=%5Cfrac%7B3.80%5Ctimes%2010%5E3%7D%7B4%5Ctimes%20%5Cpi%20%5Ctimes%20%5Cleft%20%28%204%5Ctimes%201609.34%5Cright%20%29%5E2%7D)
I=![7.296\times 10^{-6} W/m^2](https://tex.z-dn.net/?f=7.296%5Ctimes%2010%5E%7B-6%7D%20W%2Fm%5E2)
Amplitude of electric field at receiver end
![E_{max}=\sqrt{2I\mu _0c}](https://tex.z-dn.net/?f=E_%7Bmax%7D%3D%5Csqrt%7B2I%5Cmu%20_0c%7D)
Amplitude of induced emf
=![E_{max}d](https://tex.z-dn.net/?f=E_%7Bmax%7Dd)
=![\sqrt{2\times 7.29\times 10-6\times 4\pi \times 3\times 10^8}\times 0.75](https://tex.z-dn.net/?f=%5Csqrt%7B2%5Ctimes%207.29%5Ctimes%2010-6%5Ctimes%204%5Cpi%20%5Ctimes%203%5Ctimes%2010%5E8%7D%5Ctimes%200.75)
=![17.591\times 10^{-2}=0.1759 v](https://tex.z-dn.net/?f=17.591%5Ctimes%2010%5E%7B-2%7D%3D0.1759%20v)
Answer:
6495.19 Joule
Explanation:
F = Weight of the crate = 250 N
d = Distance the cart is pushed = 30 m
θ = Angle of inclination = 60°
The weight of the crate will be resloved into two components
Fdsinθ and Fdcosθ
Work done by the force of gravity is
W = Fdsinθ
⇒W = 250×30×sin60
⇒W = 6495.19 Joule
∴ The work done by the force of gravity is 6495.19 Joule