Given:
altitude, x = 1 mile
speed, v = 560 mi/h
distance from the station, x = 4 mi
Solution:
To find the rate,
Now, from the right angle triangle in fig 1.
Applying pythagoras theorem:
differentiating the above eqn w.r.t 't' :
(1)
Now, putting values in eqn (1):
The rate at which distance from plane to station is increasing is:
Answer:
The tension in the cord is 24.1 Newton
Explanation:
<u>Step 1:</u> Data given
mass of the ball = 1.13 kg
Cord = 0.50m
velocity = 2.4 m/s
<u>Step 2:</u> Calculate the tension
Fnet = F(c)
T - F(g) = F(c)
⇒ with F(g) = force of gravity = m*g
⇒ with F(C) = centripetal force = (mv²)/r
T = (mv²)/r + mg
⇒ with m = mass = 1.133 kg
⇒ with v = velocity = 2.4 m/s
⇒ with r = radius = 0.50 m
T = (1.13 * 2.4²) / 0.50 + 1.13 * 9.81
T = 24.1 Newton
The tension in the cord is 24.1 Newton
-Geographic north and south poles are determined by the earth's spin.
-Magnetic north and south is determined by the direction a compass points.
Hope this helps,
kwrob
Answer:
as the period decreases, the frequency and energy of the wave increase
Explanation:
Electromagnetic waves are oscillations of the electric and magnetic fields, described by maxwell's equations, the speed of the wave is called the speed of light
c = λ f
E = E cos (kx - wt)
Angular velocity is related to frequency and period.
w = 2π f = 2π / T
Let's analyze what happens when the wave period decreases, angular velocity and frequency increase.
This increase in frequency is reflected with the Planck equation in wave energy
E = h f
Therefore the wave carries more energy and can lead to stronger interactions with matter.
In summary, as the period decreases, the frequency and energy of the wave increase