1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sonja [21]
3 years ago
13

A river flows due east at 1.70 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant v

elocity of 14.0 m/s due north relative to the water.
(a) What is the velocity of the boat relative to shore?
m/s
° (north of east)

(b) If the river is 340 m wide, how far downstream has the boat moved by the time it reaches the north shore in meters?
Physics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

a)

v = 14.1028 m/s  

∅ = 83.0765° north of east

b)

the required distance is 40.98 m

Explanation:

Given that;

velocity of the river u = 1.70 m/s

velocity of boat v = 14.0 m/s

Now to get the velocity of the boat relative to shore;

( north of east), we say

a² + b² = c²

(1.70)² + (14.0)² = c²

2.89 + 196 = c²

198.89 = c²

c = √198.89

c = 14.1028 m/s  

tan∅ = v/u = 14 / 1.7 =  8.23529

∅ = tan⁻¹ ( 8.23529 ) = 83.0765° north of east

Therefore, the velocity of the boat relative to shore is;

v = 14.1028 m/s  

∅ = 83.0765° north of east

b)  

width of river = 340 m,

ow far downstream has the boat moved by the time it reaches the north shore in meters = ?

we say;

340sin( 90° - 83.0765°)

⇒ 340sin( 6.9235°)

= 40.98 m

Therefore, the required distance is 40.98 m

You might be interested in
The lightest car in the world was built in London and had a mass of less than 10 kg. it's maximum speed was 25.0 km/h. Suppose t
Softa [21]
25km/h = 6.94 m/s
suvat
s=16
u=6.94
v=0
a=a
v^2=u^2+2as
(v^2-u^2)/2s = a =1.5ms^-2
6 0
3 years ago
What causes the inner core to be solid?
natima [27]
Your answer will be (B) - intense pressure.
4 0
2 years ago
Does every light source emit only one type of light?
blsea [12.9K]

Yes it is possible. Spectrum of emitted light depends upon the chemical composition of the source. and the way of its excitation. a clear example to us is that of sun.

3 0
2 years ago
Orbital Motion<br> Project: Career Multimedia Presentation
Yuliya22 [10]

Answer:

can you post the full question plz

Explanation:

4 0
2 years ago
When a tuning fork vibrates over an open pipe and the air in the pipe starts to vibrate, the vibrations in the tube are caused b
defon

Answer:

correct option is A. Resonance

Explanation:

solution

vibrations in the tube are caused by the Resonance because Resonance cause of sounds production in the musical instrument

As if resonance ( hollow cylindrical tube) immerse in  cylinder of water and force in to vibration by tuning fork

As tines of tuning fork vibrate at natural frequency and it create sound wave that impinged up on opening of resonance tube

so correct option is A. Resonance

8 0
3 years ago
Other questions:
  • 78. A particle moves along the x- axis. The velocity of the particle at time tis given by 4vt()=3 t +1 . If the position of the
    7·1 answer
  • How does conduction work?
    15·1 answer
  • Why is it more helpful to know a tornadoes velocity rather than its speed
    14·2 answers
  • Which energy source is formed when organic matter is trapped underground without exposure to air or moisture?
    8·2 answers
  • For this discussion, you will work in groups to answer the questions. In a video game, airplanes move from left to right along t
    12·1 answer
  • What are the units for momentum?<br><br> Kg<br><br> Newtons<br><br> m/s<br><br> kg·m/s
    8·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPP
    8·1 answer
  • A student pushes against a wall with a force of 30N. The wall does not move. What amount of force does the wall exert on the stu
    6·2 answers
  • A block with a mass of 33.0 kg is pushed with a horizontal force of 150 N. The block moves at a constant speed across a level, r
    5·1 answer
  • What is the strength of the intermolecular forces between liquid and gas <br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!