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
Gre4nikov [31]
3 years ago
10

The route followed by a hiker consists of three displacement vectors A with arrow, B with arrow, and C with arrow. Vector A with

arrow is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B with arrow is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector vector C is 20.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or A with arrow + B with arrow + C with arrow = 0. Find the magnitudes of vector B with arrow and vector C with arrow.
Physics
1 answer:
kotykmax [81]3 years ago
7 0

Answer:

D_{B}=1173.98m\\D_{C}=675.29m

Explanation:

If we express all of the cordinates in their rectangular form we get:

A = (1404.77 , 655.06) m

B = A + ( -D_{B} *sin(41) , -D_{B} * cos(41) )

C = A + B + ( -D_{C} *cos(20) , D_{C} * sin(20) )

Since we need C to be (0,0) we stablish that:

C = (0,0) = A + B + ( -D_{C} *cos(20) , D_{C} * sin(20) )

That way we make an equation system from both X and Y coordinates:

A_{x} + B_{x} + C_{x} = 0

A_{y} + B_{y} + C_{y} = 0

Replacing values:

1404.77 - D_{B}*sin(41) - D_{C}*cos(20) = 0

655.06 - D_{B}*cos(41) + D_{C}*sin(20) = 0

With this system we can solve for both Db and Dc and get the answers to the question:

D_{B}=1173.98m

D_{C}=675.29m

You might be interested in
What is the mass of a dog that weighs 382 N?(unit=kg)
Luba_88 [7]

Answer:

The answer to your question is: mass = 38.93 kg

Explanation:

Data

mass = ?

Weight = 382 N

gravity = 9.81 m/s2

Formula

Weight = mass x gravity

mass = weight / gravity

mass = 382 / 9.81         substitution

mass = 38.93 kg           result

6 0
3 years ago
A property unique to a conducting substance that determines its resistance is called:
elena-s [515]

Answer:

B. Resistivity

Explanation:

Resistance offered by a substance of unit area per unit length.

6 0
3 years ago
Calculate the acceleration of a car if it's velocity increases from 15 m/s to 75m/s in 5 seconds. ​
Andreas93 [3]
  • initial velocity=u=15m/s
  • Final velocity=v=75m/s
  • Time=t=5s

\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}

\\ \sf\longmapsto Acceleration=\dfrac{75-15}{5}

\\ \sf\longmapsto Acceleration=\dfrac{60}{5}

\\ \sf\longmapsto Acceleration=12m/s^2

7 0
3 years ago
When you jump, you exert a pushing force against the ground. Gravity pulls you back down. Why can a person jump higher on the mo
Dennis_Churaev [7]

Answer:

This is because the force of gravity is much less on the moon than on the earth, therefore the person wont be pulled down much and will jump higher

7 0
2 years ago
Which element could provide one atom to make an ionic bond with nitrogen?​
aev [14]

Answer:

boron

aluminum

gallium

indium

thallium

Explanation:

Any of these could work. Nitrogen has 5 valence electrons so you just needed to pick an element that has 3 valence electrons that nitrogen could borrow. This periodic table shows valence electron counts:

8 0
3 years ago
Other questions:
  • Leap years _____. happen because the Earth revolves around the sun in less than 365 days make up for the extra one-fourth day th
    15·1 answer
  • Titin is a spring-shaped elastic protein that attaches to the thick filament and anchors it to the Z-discs of a sarcomere. If ti
    15·1 answer
  • 1. A sprinter races in the 100 meter dash. It takes him 10 second to reach the finish line
    11·1 answer
  • For a rigid body in rotational motion, what can be stated about the angular velocity of all of the particles? The linear velocit
    9·1 answer
  • If we decrease the time it takes for a car to travel over the same distance, this will
    10·2 answers
  • Why is light-year not related to time? (I just need scientific evidence why it isn't related to time)
    7·1 answer
  • 9. Studying earthquake waves, density experiments, and observations of meteorites are ways that we study the
    9·1 answer
  • The less mass an object has, the --- its gravitational f
    11·1 answer
  • Prove that Efficiency=MA/ VR x 100%
    9·1 answer
  • What is the energy of a photon emitted with a wavelength of 518 nm?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!