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
denpristay [2]
3 years ago
6

Two particles are traveling through space. At time t the first particle is at the point (−1 + t, 4 − t, −1 + 2t) and the second

particle is at (−7 + 2t, −6 + 2t, −1 + t). (a) (5 Points) Do the paths of the two particles cross? If so, where?
Physics
1 answer:
Pie3 years ago
5 0

Answer:

Yes, the paths of the two particles cross.

Location of path intersection = ( 1 , 2 , 3)

Explanation:

In order to find the point of intersection, we need to set both locations equal to one another. It should be noted however, that the time for each particle can vary as we are finding the point where the <u>paths</u> meet, not the point where the particles meet themselves.

So, we can name the time of the first particle T_F ,  and the time of the second particle T_S.

Setting the locations equal, we get the following equations to solve for T_F and T_S:

(-1 + T_F) = (-7 + 2T_S)                     Equation 1

(4 - T_F) = (-6 + 2T_S)                        Equation 2

(-1 + 2T_F) = (-1 + T_S)                     Equation 3

Solving these three equations simultaneously we get:

T_F = 2 seconds

T_S = 4 seconds

Since, we have an answer for when the trajectories cross, we know for a fact that they indeed do cross.

The point of crossing can be found by using the value of T_F or T_S in the location matrices. Doing this for the first particle we get:

Location of path intersection = ( -1 + 2 , 4 - 2 , -1 + 2(2) )

Location of path intersection = ( 1 , 2 , 3)

You might be interested in
Government as an academic field of study ​
Savatey [412]
Government as an academic field of study is a vast subject, encompassing political institutions and political theories. ... Government allows for civil order by creating laws and protecting its citizens. In order to ensure enforcement of laws, government also creates punishments for those who break the law.
3 0
3 years ago
Read 2 more answers
How is the percent efficiency of a machine determined?
NemiM [27]

Since work is the change in kinetic energy, the efficiency of a machine can be stated as the percentage of the output work divided by the input work minus the work lost from to friction and heat. Multiply Eff by 100% to get the efficiency percentage.

3 0
3 years ago
If you want to know how energy will move between two objects, what do you need to know about the objects?
Inessa [10]
You need to know how much friction that object.
8 0
3 years ago
Which of these factors will increase the speed of a sound wave in air?
Artemon [7]
<h3>Answer;</h3>

-Temperature

<h3><u>Explanation;</u></h3>
  • Sound is a type of mechanical wave, which means it requires a material medium for transmission. It results from the vibration of particles.
  • The speed of sound in mediums varies depending on the property of the medium and a number of other factors which includes; temperature, pressure,  and humidity.
  • Temperature increases the speed of sound wave as particles at higher temperatures tend to possess more energy and thus they will vibrate faster and thus the sound wave will travel faster.
3 0
3 years ago
Why is it harder to breathe on a
Law Incorporation [45]
I think it’s d but I’m not sure
6 0
3 years ago
Other questions:
  • What terms are needed to completely describe velocity?
    12·1 answer
  • If an object has more electrons than protons, what eletrical charge would it carry
    11·1 answer
  • Which one of the following is NOT a simple machine?
    14·1 answer
  • When all parts of a circuit are composed of conducting materials, the circuit is said to be
    6·1 answer
  • What does this equation mean FeDe=FrDr
    7·1 answer
  • Why are magnetic fields evidence of sea floor spreading
    13·1 answer
  • A woman weighs 65 kg which is _____lbs.
    11·1 answer
  • Drawing is a form of<br>​
    8·1 answer
  • How can larger telescopes
    13·1 answer
  • A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched off, it rotates through 52.0 re
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!