answer.
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
Maslowich
3 months ago
10

A person on a cruise ship is doing laps on the promenade deck. on one portion of the track the person is moving north with a spe

ed of 3.8m/s relative to the ship. the ship moves east with a speed of 12m/s relative to the water. what is the direction of motion of the person relative to the water?
Physics
2 answers:
Softa [3K]3 months ago
6 0
The two parts of the movement (3.8 m/s toward the north and 12 m/s toward the east) represent the two legs of a right triangle, where 3.8 m/s is the vertical leg and 12 m/s is the horizontal leg. Consequently, the angle indicating the direction of motion can be calculated using the formula where vx denotes the horizontal speed and vy denotes the vertical speed. By plugging in the values into the formula, we obtain a result of 17.6 degrees north of east.
kicyunya [3.2K]3 months ago
4 0
The resulting motion can be determined using the Pythagorean theorem, as the two components (north and east) are at right angles. To find the direction, trigonometry is applied, yielding Ф=arctan(3.8/12)=17.57° north of east.
You might be interested in
If the satellite was placed in an orbit three times farther away, about how long would it take to orbit the Earth once? Answer i
serg [3582]
Kepler's third law, referred to as the law of harmonies, is used to calculate the orbital period and radius of a planet based on the dimensions and periods of another planet. This relationship is directly proportional to the square of the period and inversely proportional to the cube of the distance. Therefore, when the distance is tripled ((3D)^3), the period should increase to the square root of 27 times 5.20 times the initial period,
5 0
2 months ago
Read 2 more answers
An end of a light wire rod is bent into a hoop of radius r. The straight part of the rod has length l; a ball of mass M is attac
ValentinkaMS [3465]

Answer:

arcsin(\frac{R\mu}{(R+l)\sqrt{\mu^2+1}})

Explanation:

By applying the Law of Sines,

sin \theta = \frac{sin \phi R}{ l + R}

Based on Newton's Law,

mg = N\sqrt{\mu^2+1}

And the final equation also derived from Newton's Law,

\mu N = mgsin\phi

Then by consolidating all the equations together,

\mu N = mgsin\phi = N\sqrt{\mu^2+1}sin\phi\\

sin\theta = \frac{\mu R}{ (l + R)\sqrt{\mu^2+1}}

Thus,

\theta = arcsin(\frac{R\mu}{(R+l)\sqrt{\mu^2+1}})

8 0
2 months ago
A point charge with charge q1 is held stationary at the origin. A second point charge with charge q2 moves from the point (x1, 0
kicyunya [3294]

Answer:

W=kq_1q_2(\dfrac{1}{x_1}-\dfrac{1}{\sqrt{x_2^2+y_2^2}})

Explanation:

The position of the charge q₁ is established at (0,0)

Meanwhile, the charge q₂ is located at (x₁,0)

Thus, the electric potential energy between these two charges is determined by:

U_1=k\dfrac{q_1q_2}{x_1}

Now, the location of charge q₂ shifts from (x₁,0) to (x₂,y₂). The updated electric potential energy between the charges can be represented as:

U_2=k\dfrac{q_1q_2}{\sqrt{x_2^2+y_2^2}}

According to the work-energy theorem, the alteration in potential energy corresponds to the work performed. This is expressed mathematically as:

W=-\Delta U

W=-(U_2-U_1)

W=(U_1-U_2)

W=(k\dfrac{q_1q_2}{x_1}-k\dfrac{q_1q_2}{\sqrt{x_2^2+y_2^2}})

W=kq_1q_2(\dfrac{1}{x_1}-\dfrac{1}{\sqrt{x_2^2+y_2^2}})

Consequently, the work done by the electrostatic force on the moving charge is kq_1q_2(\dfrac{1}{x_1}-\dfrac{1}{\sqrt{x_2^2+y_2^2}}). Therefore, this concludes the solution.

3 0
3 months ago
Marcia is given an incomplete chemical equation that includes the number of nitrogen atoms present in the products of the reacti
ValentinkaMS [3465]
If the products have three nitrogen atoms, the reactants must have had the same quantity, as mass is conserved in a chemical reaction.
8 0
3 months ago
Read 2 more answers
Other questions:
  • The magnitude of the force associated with the gravitational field is constant and has a value FF . A particle is launched from
    14·1 answer
  • Falling raindrops frequently develop electric charges. Does this create noticeable forces between the droplets? Suppose two 1.8
    6·2 answers
  • Two objects are placed in thermal contact and are allowed to come to equilibrium in isolation. The heat capacity of Object A is
    7·1 answer
  • 2.27 A gas is compressed from V1= 0.3 m3, p1=1 bar to V2= 0.1 m3, p2 =3 bar. The pressure and
    15·1 answer
  • A Ferris wheel on a California pier is 27 m high and rotates once every 32 seconds in the counterclockwise direction. When the w
    10·1 answer
  • What is the differential equation governing the growth of current in the circuit as a function of time after t=0? express the ri
    6·1 answer
  • A wind turbine works by slowing the air that passes its blades and converting much of the extracted kinetic energy to electric e
    13·1 answer
  • The posted speed limit on the road heading from your house to school is45 mi/h, which is about 20 m/s. If you live 8 km (8,000 m
    15·2 answers
  • A loud factory machine produces sound having a displacement amplitude in air of 1.00 μmμm, but the frequency of this sound can b
    7·1 answer
  • During a family trip to Laura's grandmother's house, the family cast traveled a distance of of 8 miles in 24 minutes. During the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!