Explanation:
This is a simple harmonic motion, produced by the action of a driving force that is directly proportional to the position of the body. Its position is described as a function of time by a sinusoidal function. According to Newton's second law and Hooke's law:
![F=m\frac{d^2x}{dt^2}\\F=-kx](https://tex.z-dn.net/?f=F%3Dm%5Cfrac%7Bd%5E2x%7D%7Bdt%5E2%7D%5C%5CF%3D-kx)
Here m is the object's mass, k is the spring constant and x is the displacement from the equilibrium position.
![m\frac{d^2x}{dt^2}=-kx\\\frac{d^2x}{dt^2}=-\omega_0^2x\\x=Asin(\omega_0 t-\phi)](https://tex.z-dn.net/?f=m%5Cfrac%7Bd%5E2x%7D%7Bdt%5E2%7D%3D-kx%5C%5C%5Cfrac%7Bd%5E2x%7D%7Bdt%5E2%7D%3D-%5Comega_0%5E2x%5C%5Cx%3DAsin%28%5Comega_0%20t-%5Cphi%29)
With
, called natural frequency, A is the amplitude, that is the maximum displacement for the equilibrium position and
is the initial phase.
Answer:
0
Explanation:
Given the following :
Height of wall = 19.2 m
Time taken to hit the ground = 5 seconds
Acceleration due to gravity (g) = 9.8m/s ( downward motion)
The initial velocity of the object refers to the Velocity of the object at time t = 0
Initial Velocity = g × time
Initial Velocity = 9.8 × 0 = 0
Answer:
Momentum
Explanation:
Heisenberg uncertainty principle says it is <em>uncertain to find the momentum and position of a particle at the same time. there must be some uncertainty.</em>
.
It means decreasing the position value will increase the momentum value while decreasing the momentum value will increase the position value.
I hope it works for you
Thank you.
Answer:
A. 85 W
Explanation:
case 1: toaster is connected to 130 V outlet
P = Power rating of toaster = 100 W
R = Resistance of the filament
V = Voltage of the source = 130 Volts
Power is given as
![P = \frac{V^{2}}{R}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7BV%5E%7B2%7D%7D%7BR%7D)
![100 = \frac{130^{2}}{R}](https://tex.z-dn.net/?f=100%20%3D%20%5Cfrac%7B130%5E%7B2%7D%7D%7BR%7D)
R = 169 ohm
case 2: toaster is connected to 120 V outlet
P = Power dissipated
R = Resistance of the filament = 169 ohm
V = Voltage of the source = 120 Volts
Power dissipated is given as
![P = \frac{V^{2}}{R}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7BV%5E%7B2%7D%7D%7BR%7D)
![P = \frac{120^{2}}{169}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B120%5E%7B2%7D%7D%7B169%7D)
P = 85 W