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
aliina [53]
3 years ago
12

A cyclist rides 4.0 km due west, then 12.0 km 33° west of north. From this point she rides 9.0 km due east. What is the final di

splacement from where the cyclist started (in km)? (Express your answer in vector form. Assume the +x-axis is to the east, and t
Physics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

\mathbf{r = (-5.064   \ \hat i + 6.536 \ \hat j) km}

Explanation:

Given that:

A cyclist rides 4.0 km due west, then 12.0 km 33° west of north. From this point she rides 9.0 km due east.

Let:

r_1 = 4.0  \ km \ due \ west \\ \\ r_2 = 12.0 \  km \  \ \ \ \  \theta = 33^0 \ west \ of \ north \\ \\ r_3 = 9.0 \ km \ due  \ east

Assuming that:

east is the + x axis  and has a unit vector of \hat i

north is the +y axis and has a unit vector of \hat j

west is the - x axis and has a unit vector of -\hat {i}

south is the - y axis and has a unit vector of -\hat j

The displacement r_x in a given direction of x can be expressed by the formula:

r_x = \sum r_i

r_x = -4-12 cos (33)+9

r_x = - 5.064 \ km

The displacement r_y in a given direction of y can be expressed by the formula:

r_y = \sum r_j

r_y = 12  \ \ * s in (33)

r_y = 6.536 \ km

The final displacement can be expressed by the relation;

r = r_x \hat i + r_y \hat j

\mathbf{r = (-5.064   \ \hat i + 6.536 \ \hat j) km}

You might be interested in
In separate experiments, a large number of particles (all with the same charge, but with a wide variety of masses and speeds) ar
likoan [24]

Answer:

  they have the same mass

Explanation:

The force applied by the field is a function of the charge and velocity, so the acceleration experienced by a particle will be dependent upon its mass. Particles in orbits with the same radius are exhibiting the same acceleration, so must have the same mass.

7 0
3 years ago
A beam of electrons passes through a single slit, and a beam of protons passes through a second, but identical, slit. The electr
ryzh [129]

Answer:

(b) The electrons, because they have the smaller momentum and, hence, the larger de Broglie wavelength

Explanation:

de Broglie wavelength λ = h / m v

Since both electrons and protons have same velocity , momentum mv will be less for electrons because mass of electron is less .

for electron , momentum is less so  . Therefore de Broglie wavelength λ will be more for electrons .

Amount of diffraction that is angle of diffraction is proportional to λ

Therefore electrons having greater de Broglie wavelength will show greater diffraction.

7 0
3 years ago
what do you think is the purpose of a periscope? Are there any other uses for periscopes besides for submarines?
spin [16.1K]

Military personnel also use periscopes in some gun turrets and in armoured vehicles. More complex periscopes using prisms or advanced fibre optics instead of mirrors and providing magnification operate on submarines and in various fields of science

3 0
3 years ago
BLANK causes movement of an object, whereas BLANK is the work done on an object in a given amount of time.
Setler [38]
The first one is Force & the second one Power.
3 0
3 years ago
Read 2 more answers
If a series circuit contains a 12-V battery, a 6-ohm resistor, and a 4-ohm resistor, what is the current in the circuit?
Shalnov [3]

In a series circuit the total current is the same throughout resistors and so:

I_{total}=I_1=I_2

The voltage is distributed throughout the resistors and so:

V_{total}=V_1+V_2

and the total resistance can be calculated by adding up the resistors resistance:

R_{total}=R_1+R_2

First thing is to calculate the total resistance and so:

R_{total}=6\Omega + 4\Omega = 10\Omega

And by Omh's law V=IR we have:

V_{total}=I_{total}R_{total}\\\\I_{total}=\frac{V_{total}}{R_{total}}= \frac{12V}{10\Omega} =1.2A

And so the total current of the circuit is 1.2 amps i.e. 1.2 A.


6 0
3 years ago
Read 2 more answers
Other questions:
  • 1.(16 pts.) Find the volume of the solid obtained by revolving the region enclosed by y = xex , y = 0 and x = 1 about the x-axis
    15·1 answer
  • The resolution of a microscope describes the scale of the smallest detail that is clearly observable through the microscope. For
    10·1 answer
  • The same 100-cm 3 lead block is carefully submerged in a container of mercury. One cm 3 of
    5·1 answer
  • What units are used in the periodic table for atomic mass?
    14·2 answers
  • What colour would you see if white light on a magenta t-shirt?
    7·2 answers
  • What system includes oceans, lakes, rivers, and groundwater?
    11·2 answers
  • UWU plz help 50 points!!
    9·1 answer
  • Valleys have dense population but plateaus don't have dense population.why?
    5·1 answer
  • Diffraction of light is the __________ of light as it passes through the Edges of a barrier or a slit.
    11·1 answer
  • A boy spins a top on a table. How can he INCREASE the total energy of this system?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!