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MatroZZZ [7]
4 years ago
13

A stationary boat in the ocean is experiencing waves from a storm. the waves move at 56 km/h and have a wavelength of 160 m, bot

h typical values. the boat is at the crest of a wave. how much time elapses until the boat is first at the trough of a wave?
Physics
1 answer:
Lera25 [3.4K]4 years ago
5 0
The wavelength \lambda of the wave is 160 m, and this is the distance between two consecutive crests. The boat is located at a crest of the wave, this means that the first trough is located 80 meters from the boat (because the distance between a crest and a trough is half the wavelength).

The speed of the wave is 
v=56 km/h = 15.6 m/s
so the time the boat takes to reach the first trough is
t= \frac{S}{v} = \frac{80 m}{15.6 m/s}=5.1 s
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A jet airliner moving initially at 504 mph (with respect to the ground) to the east moves into a region where the wind is blowin
adelina 88 [10]

Answer

given,

intial velocity = 504 mph

wind speed = 219 mph

at an angle of 29◦

from the data

 The resultant velocity =

V = V_x \hat{i} + V_y\hat{j}

 V = (504 + 219 cos 29^0 ) \hat{i} +(219 sin 29^0 )\hat{j}

 V = 695.54\hat{i} + 106.17 \hat{j}

the magnitude of velocity

V = \sqrt{695.54^2+106.17^2}

V = 703.59 m/s

direction

tan θ =  \dfrac{106.17}{695.54}

θ = 8.676°

8 0
4 years ago
Two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0. When the resistors are
Contact [7]

Answer:

r=0.127

Explanation:

When  connected in series

Current = I

When connected in parallel

Current = 10 I

We know that equivalent resistance

In series  R = R₁+R₂

in parallel  R= R₁R₂/(R₂+ R₁)

Given that voltage is constant (Vo)

V = I R

Vo = I (R₁+R₂)  ------------1

Vo = 10 I (R₁R₂/(R₂+ R₁)) -------2

From above equations

10 I (R₁R₂/(R₂+ R₁)) = I (R₁+R₂)  

10  R₁R₂ =  (R₁+R₂) (R₂+ R₁)

10  R₁R₂  = 2  R₁R₂  + R₁² + R₂²

8 R₁R₂  =     R₁² + R₂²

Given that

r =  R₁/R₂

Divides by R₂²

8R₁/R₂  = ( R₁/R₂)²+ 1

8 r = r ² + 1

r ² - 8 r+ 1 =0  

r= 0.127 and r= 7.87

But given that R₂>R₁  It means that r<1 only.

So the answer is r=0.127

8 0
4 years ago
When electrons are transferred from one atom to another, and the two atoms unite as a result of the opposite charges, a(n) _____
podryga [215]

Answer: ionic compound

Explanation:

An ionic compound is formed when one element completely transfers its valence electron to another element. The element which donates the electron is known as electropositive element and forms a positively charged ion called as cation. The element which accepts the electrons is known as electronegative element and forms a negatively charged ion called as anion.

For formation of sodium chloride:

Electronic configuration of sodium:

[Na]=1s^22s^22p^63s^1

Sodium atom will loose one electron to gain noble gas configuration and form sodium cation with +1 charge.

[Na^+]=1s^22s^22p^63s^0

Electronic configuration of chlorine:

[Cl]=1s^22s^22p^63s^23p^5

Chlorine atom will gain one electron to gain noble gas configuration and form chloride ion with -1 charge.

[Cl^-]=1s^22s^22p^63s^23p^6

The cations and anions being oppositely charged attract each other through strong coloumbic forces and form an ionic compound.

4 0
3 years ago
PRACTICE ANOTHERA rabbit is hopping along at an approximately constant speed of 4.2 m/s. The rabbit passes a crouched cat ready
V125BC [204]

Answer:

16.8 seconds

Explanation:

Given that:

Constant speed of rabbit = 4.2 m/s

Initial Velocity (u) of cat = 0

Acceleration (a) of cat = 0.5 m/s²

Time it takes cat to catch rabbit ;

Using the relation:

Distance moved by rabbit (Dr) :

Dr = speed * time ; Dr = 4.2t

Distance moved by Cat (Dc) :

Dc = ut + 0.5at^2

Dc = 0 + 0.5at^2

Hence, Cat will catch rabbit when Dr = Dc

4.2t = 0.5at^2

4.2t = 0.5(0.5)t^2

4.2t = 0.25t^2

Divide both sides by t

4.2 = 0.25t

t = 4.2 / 0.25

t = 16.8 seconds

Hence, the cat will catch the rabbit after 16.8 seconds

5 0
3 years ago
A 2000 Kg car going 20 m/s crashes into a wall. What is the force of the car on the wall? ​
lidiya [134]

Answer:

40,000N

Explanation:

Force = Acceleration × Mass

2000×20=40,000

4 0
3 years ago
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