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
Thepotemich [5.8K]
3 years ago
9

A pizza delivery driver must make three stops on her route. She will first leave the restaurant and travel 4 km due north to the

first house. The next house is 6 km away at 45° south of west according to her map. The final stop is 5 km away at 60° north of west. What is her displacement from the restaurant to the final stop?
Physics
1 answer:
topjm [15]3 years ago
4 0
<h2>5.3 km</h2>

Explanation:

       This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

       Let us denote each of the individual displacements by a vector. Consider the unit vectors \vec{i}\textrm{ and }\vec{j} as the unit vectors in the direction of East and North respectively.

       By simple calculations, we can derive the unit vectors \vec{j},\frac{-\vec{i}-\vec{j}}{2}\textrm{ and }\frac{-\frac{1}{2}\vec{i}+\frac{\sqrt{3}}{2}\vec{j}}{2} in the directions North, 45^{o} South of West and 60^{o} North of West respectively.

       So Total displacement vector = Sum of individual displacement vectors.

       Displacement vector = 4(\vec{j})+6(\frac{-\vec{i}-\vec{j}}{2})+5(\frac{-\frac{1}{2}\vec{i}+\frac{\sqrt{3}}{2}\vec{j}}{2})=-4.25\vec{i}+3.165\vec{j}

       Magnitude of Displacement = |-4.25\vec{i}+3.165\vec{j}|=5.3km

∴ Total displacement = 5.3km

You might be interested in
What is the main difference between a longitudinal wave and a transverse wave? a longitudinal wave travels faster than a transve
mote1985 [20]
<span>The motion of the medium is parallel to a longitudinal wave
and perpendicular to a transverse wave.</span>
9 0
3 years ago
Read 2 more answers
w strong are you? Could you turn a moving car with just your own strength? No way! If a normal driver inputs about 50 N of force
malfutka [58]

The mechanical advantage of a simple machine is the measure of its amplified force gain.

The mechanical advantage  is defined as the force amplified by a machine to the force required to generate such output.

Mathematically\ mechanical\ advantage\ MA=\frac{F_{o}} {F_{i}}

F_{o} \ and\ F_{i} are the amplified force and applied force. We may also consider them as output and input force.          


In the given question, the force given to the steering wheel is 50 N.

The output force produced by the steering wheel is 3750 N.

Hence the mechanical advantage will be-

                               MA=\frac{F_{o}} {F_{i}}

                                       =\frac{3750\ N}{50\ N}

                                       =75      [ans]

3 0
2 years ago
4. How long would it take for a water balloon to fall 39 m if we dropped it starting from rest down an
Paraphin [41]

Answer:

Around 2.8212 sec

Explanation:

Given the eqn x=1/2at^2+vot

your vo=0

39=1/2(-9.8)t^2

=7.95=t^2

=2.82sec

8 0
3 years ago
1. Give three examples, from the lab, where potential energy was converted to kinetic energy: ​
Lubov Fominskaja [6]

Answer:

A book on a table before it falls.

A yoyo before it is released.

A raised weight.

Explanation:

These are all examples of potential energy. So I hope you can find something that is comparable from the lab.

3 0
3 years ago
Which discovery did Galileo make to support the theory that the planets, including Earth, orbit the Sun?
const2013 [10]

The answer to your quesiton is,

A) Venus has phases.

-Mabel <3

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is least likely to form bonds?
    9·1 answer
  • As air rises, why do clouds form?
    8·1 answer
  • you measure or observe two events to occur at the same time one nearby and one further away. Which one did you actually see firs
    5·2 answers
  • I need help with this question id really appreciate it thanks !
    10·1 answer
  • A steel ball of mass m falls from a height h
    11·1 answer
  • State the relation between acceleration and momentum​
    13·1 answer
  • During Photosynthesis, solar energy is absorbed. What kind of reaction is<br> taking place?
    6·2 answers
  • so no body wants to help me:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((
    5·1 answer
  • A rocket powered sled is accelerating along a straight, level track with a constant acceleration of magnitude 20 m/s2. By how mu
    15·1 answer
  • • (-/1 Points) DETAILS OSCOLPHYS2016 9.5.WA.040.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!