Answer:
The percentage change in frequency is 10%.
Explanation:
Given that,
Amplitude decreases by 1/10 per second.
Resonance = 10 Hz
We need to calculate the change in frequency
Using formula of change in frequency
Put the value into the formula
We need to calculate the resonant frequency
Using formula of resonant frequency
Put the value into the formula
We need to calculate the percentage change in frequency
Using formula of percentage change in frequency
Hence, The percentage change in frequency is 10%.
Answer:
Explanation:
r(t) = A(cos wt i + sin wt f)
= A cos wt i + A sin wt j
x = A cos wt
y = A sin wt
radius r
r² = x² + y² ( This is equation of a circle with radius r )
= A² cos² wt +A² sin² wt
= A²
r = A
radius r = A
b )
speed = dr/dt
v = - Aw sinwt i + Aw coswt j
magnitude of velocity
I v I= Aw √(sin²wt + cos²wt)
= Aw ( constant )
acceleration
= dv / dt = - Aw² cos wt - Aw² sinwt
magnitude of acceleration
I a I = Aw²
= r w²
d ) centripetal force = m acceleration
m w² A
=
Answer:
Explanation:
given
initial velocity u = 4.45m/s
Height = 0.6m
g = 9.8m/s²
Required
final velocity v
Using the equation of motion;
v² = u²-2gH (upward motion of the fish makes g to be negative)
v² = 4.45²-2(9.8)(0.6)
v² = 19.8025-11.76
v² = 8.0425
v = 2.84 m/s
Hence the speed of the fish as it passes a point 0.6 m above the water is 2.84m/s
To get the time, we will use the formula
v = u - gt
2.84 = 4.45 - 9.8t
2.84-4.45 = -9.8t
-1.61 = -9.8t
t = 1.61/9.8
t = 0.164secs
Hence the time taken is 0.164secs
Answer:
Just like lightning, the spark you see is the discharge of static electricity that equalizes the charges. When you touch a metal object and get a shock, electrons are travelling in between you and the object to equalize the charges of the two objects. The light that is seen is the plasma created by electrons jumping between objects which heats the air surrounding them.
