Answer:
<em>A = 0.05 V</em>
Explanation:
<u>Sinusoidal Functions</u>
A sinusoid or sinusoidal function is a sine or cosine which general equation is
![F(x)=A.sin(wt-\phi)](https://tex.z-dn.net/?f=F%28x%29%3DA.sin%28wt-%5Cphi%29)
Or also
![F(x)=A.cos(wt-\phi)](https://tex.z-dn.net/?f=F%28x%29%3DA.cos%28wt-%5Cphi%29)
Where A is the amplitude or maximum value, w is the angular frequency, t is the time and
is the phase shift.
Comparing the given expression with the general formula
![v(t)=50cos(2000t-45^o) mV](https://tex.z-dn.net/?f=v%28t%29%3D50cos%282000t-45%5Eo%29%20mV)
We can establish that A=50 mV = 0.05 V
![A = 0.05\ V](https://tex.z-dn.net/?f=A%20%3D%200.05%5C%20V)
To solve this problem we will apply the concepts of equilibrium and Newton's second law.
According to the description given, it is under constant ascending acceleration, and the balance of the forces corresponding to the tension of the rope and the weight of the elevator must be equal to said acceleration. So
![\sum F = ma](https://tex.z-dn.net/?f=%5Csum%20F%20%3D%20ma)
![T-mg = ma](https://tex.z-dn.net/?f=T-mg%20%3D%20ma)
Here,
T = Tension
m = Mass
g = Gravitational Acceleration
a = Acceleration (upward)
Rearranging to find T,
![T = m(g+a)](https://tex.z-dn.net/?f=T%20%3D%20m%28g%2Ba%29)
![T = (975)(9.8+0.754)](https://tex.z-dn.net/?f=T%20%3D%20%28975%29%289.8%2B0.754%29)
![T= 10290.15N](https://tex.z-dn.net/?f=T%3D%2010290.15N)
Therefore the tension force in the cable is 10290.15N
When the pendulum and roller coaster move to the top, its has more potential energy whereas when comes to the bottom has more kinetic energy.
<h3>Compare and contrast the energy transfer of a roller coaster to that of a pendulum:</h3><h3>What is the transfer of energy in a roller coaster?</h3>
The transfer of potential energy to kinetic energy occur when the roller coaster move along the track. As the motor pulls the cars to the top, the body has more potential energy whereas when the body comes to the bottom , it has kinetic energy in the object.
<h3>What is the energy transfer in a pendulum?</h3>
As a pendulum swings, its potential energy changes to kinetic energy and kinetic energy changes into potential energy. At the top more potential energy is present.
So we can conclude that When the pendulum and roller coaster move to the top, its has more potential energy whereas when comes to the bottom has more kinetic energy.
Learn more about energy here: brainly.com/question/13881533
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Answer: The velocity of the ball is 30.0 m/s
This can be calculated by using the value of acceleration as 10.0 m/s2 in free fall and the given time of 3.0 seconds. To get the
velocity, one will have to multiply the acceleration with the given time and the
quotient would result to 30.0 m/s. Mostly all object regardless of their mass,
fall to earth with the same acceleration in the absence of air resistance and as
the child drops the ball from a window, it gains speed as it falls.