<h2>
Answer:7.14
,4.125</h2>
Explanation:
Whenever an object is moving in a 2D frame,its motion can be analysed as if it is travelling in two independent 1D frames.
One of such independent 1D frames are along horizontal and another along vertical.
Let 
be the total velocity.
Given that,
We call the horizontal velocity as 
and the vertical velocity as 
.
=
where 
is the angle between the object and horizontal.
It is given that 
The correct answer is b , the the liquid with heat and cool faster
think you messed up the symbol for resistor as resistors are measured in ohms where the symbol used for ohms is Greek omega
solving for average power in secondary coil:
average power =(current rms)^2*resistance⇒with a little algebra:
current rms=(√average power/resistance)
current rms=√160W/10Ω
current rms=4amps.
average power is also equal to current rms*voltage rms
with some algebra we can solve for voltage in the secondary wire:
voltage rms= average power/ current rms
voltage rms= 160W/4A
voltage rms=40Volts
now that we have voltage in the soecondary we can solve for the amount of turns in the secondary: Voltage secondary/voltage primary=number of turns in secondary/ number of turns in primary. using some algerbra we can solve for number of turns in secondary: (Voltage secondary/voltage primary)*number of turns in primary=number of turns in secondary
(40V/120V)*75turns=number of turns in secondary
number of turns in secondary=25turns
Answer:
a) x = 8.8 cm * cos (9.52 rad/s * t)
b) x = 8.45 cm
Explanation:
This is a Simple Harmonic Motion, and most Simple Harmonic Motion equations start from the equilibrium point. In this question however, we are starting from the max displacement the equations, and thus, it ought to be different.
From the question, we are given that
A = 8.8 cm = 0.088 m
t = 0.66 s
Now, we need to find the angular speed w, such that
w = 2π/T
w = (2 * 3.142) / 0.66
w = 6.284 / 0.66
w = 9.52 rad/s
The displacement equation of Simple Harmonic Motion is usually given as
x = A*sin(w*t)
But then, the equation starts from the equilibrium point at 0 sec, i.e x = 0 m
When you have to start from the max displacement, then the equation would be
x = A*cos(w*t).
So when t = 0 the cos(0) = 1, and then x = A which is max displacement.
Thus, the equation is
x = 8.8 cm * cos (9.52 rad/s * t)
At t = 1.7 s,
x = 8.8 cos (9.52 * 1.7)
x = 8.8 cos (16.184)
x = -8.45 cm
