I like to solve first in SI units. So convert pressure
into Pascal.
P = 207 psi = 1.427x10^6 Pa
The formula for hydrostatic pressure is:
P = ρ g h
where ρ is density of ocean water = 1025.1 kg/m^3, g is
gravity = 9.81 m/s^2, h is height or depth
1.427x10^6 = 1025.1 * 9.81 * h
h = 141.92 m
Convert meters to inches:
h = 141.92 m = 5587.4 inches
Answer:E
Molecules at higher temperatures have more energy, thus they can vibrate faster. Since the molecules vibrate faster, sound waves can travel more quickly. Wavelength always increases with speed, as frequency is fixed at source and speed= freq x wavelength
The speed of sound in room temperature air is 346 meters per second.
Using the average velocity formula which is total distance divided by total time. If the distance is given in km convert to m then divide by 1000 to get m and if time is given in minutes then divide by 60 to get seconds. And after converting, divide to get your final answer in m/s. Hope that helped!
Answer:
Explanation:
Given that,
Spring constant k=200N/m
Compression x = 15cm = 0.15m
Attached mass m =2kg
Coefficient of kinetic friction uk= 0.2
The energy in the spring is given as
U =½kx²
U = ½ × 200 × 0.15²
U = 2.25J
Force in the spring is given by Hooke's law
F = ke
F = 200×0.15
F = 30N
The weight of body which is equal to the normal is give as
W = mg
W = 2 × 9.81
W = 19.62N
W = N = 19.62 Newton's 2nd Law
From law of friction,
Fr = uk•N
Fr = 0.2 × 19.62
Fr = 3.924
Using newton second law again
Fnet = F - Fr
Fnet = 30 - 3.924
Fnet = 26.076
Work done by net force is given as
W = Fnet × d
W = 26.076d
Then, the work done by this net force is equal to the energy in the spring
W = U
26.076d = 2.25
d = 2.25/26.076
d = 0.0863m
Which is 8.63cm
So the box will slide 8.63cm before stopping
Since,
Speed = Frequency * WaveLength
=> WaveLength = Speed / Frequency --- (A)
Frequency = 13.0 kHz.
As the radio waves are electromagnetic waves, their speed is equals to the speed of light. Therefore,
Speed = C =
Plug in the values in equation(A):
A => WaveLength =
Ans: Wavelength = 23.077 kilometers.-i