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
Ulleksa [173]
3 years ago
10

A proton initially has V=4.0 i -2.0 j +3.0 k and then 4 seconds later has v= -2.0 i -2.0 j +5.0 k (in meters per second).A) For

that 4 seconds, what is the protons average acceleration in unit vector notationB) What is the proton's average acceleration in magnitude and find the angle between the average acceleration vector and the positive direction of the x-axis?
Physics
1 answer:
Dafna1 [17]3 years ago
5 0

Answer:

Explanation:

\overrightarrow{u}=4\widehat{i}-2\widehat{j}+3\widehat{k}

\overrightarrow{v}=-2\widehat{i}-2\widehat{j}+5\widehat{k}

time, t = 4 s

(a) Acceleration is defined as the rate of change of velocity.

\overrightarrow{a}=\frac{\overrightarrow{v}-\overrightarrow{u}}{t}

\overrightarrow{a}=\frac{-2\widehat{i}-2\widehat{j}+5\widehat{k}-4\widehat{i}+2\widehat{j}-3\widehat{k}}{4}

\overrightarrow{a}=-1.5\widehat{j}+0.5\widehat{k}

(b) Magnitude of acceleration is

a = \sqrt{(-1.5)^{2}+(0.5)^{2}}

a = 1.58 m/s²

It is parallel to x axis.

You might be interested in
(03.05 LC)<br> Which of the following best describes the use of a renewable resource
RUDIKE [14]

Answer:

Option C or the third option.

Explanation: Water is a renewable resource there is so much of it and it just keeps circulating through the system it doesn't run out.

6 0
3 years ago
If a cylindrical space station 275 m in diameter is to spin about its central axis, at how many revolutions per minute (rpm) mus
sergij07 [2.7K]

The centripetal acceleration is responsible for the artificial gravity because the acceleration of an object moving in constant circular motion causing from net external force is called centripetal acceleration. It defines to the center or seeking the center.

Given the following:

Cylindrical space station diameter           = 275 meters; 137.5 meters for the radius

Standard gravity                                       = 9.80665 m/s²

 

Using the formula:

w² x r =g

w² = g / r

w² = 9.80665 m/s² / 137.5 m

w² = 9.80665 m/s² / 137.5 m

w² = 0.0713 s²

Then take the roots

w = 0.267 this is radians per second / 2 x (3.1416 which is the pi)

w = 0.0424 rps convert to rpm

w = 0.0424 r/s (1minute / 60 seconds)

w = 7.08 x 10⁻⁴ revolutions per minute

4 0
3 years ago
What important factor does the ozone layer serve in earth's atmosphere?
Dmitry_Shevchenko [17]

The Ozone layer is responsible for the absorption of harmful radiation from the sun before it hits the surface or exterior structure of our planet. It is known to be a belt of a known occurring gas, known as “ozone” which is sealed around the Earth’s atmosphere. It serves as a shield, which absorbs most of the sun’s ultraviolet radiation. 

3 0
3 years ago
Two wires each carry 10.0 A of current (in opposite directions) and are 2.50 mm apart. What is the magnetic field 37.0 cm away a
lyudmila [28]

Answer:

see answer below

Explanation:

Before we do any kind of calculation, we need to convert the proper units of the exercise. All the units of distance must be in meters, so, let's change distance of the wire, and the magnetic field to meters:

Separation between the wires are 2.5 mm:

2.5 mm * (1 m / 1000 mm) = 0.0025 m

The distance of P from the bottom of the wires is 37 cm:

37 cm * (1 m/100 cm) = 0.37 m

The distance of P from the top of the wires is just the sum of the two distances:

R = 0.37 + 0.0025 = 0.3725 m

Now that we have the distance, we can determine the magnetic field, using the following expression:

B = B(bottom) - B(top)   or just B₂ - B₁

And B = μ₀ I / 2πR

Replacing in the above expression we have:

B = μ₀ I / 2π ( 1/R₂ - 1/R₁)

Now we can determine the magnetic field:

B = (4πx10⁻⁷ * 10 / 2π) (1/0.37 - 1/0.3725)

<h2>B = 3.63x10⁻⁸ T</h2><h2></h2>

Which means that the magnetic field is out of the page.

Hope this helps

4 0
3 years ago
A steel piano wire, of length 1.150 m and mass 4.80 g is stretched under a tension of 580.0 N.
kaheart [24]

A steel piano wire, of length 1.150 m and mass of 4.80 g is stretched under a tension of 580.0 N.the speed of transverse waves on the wire would be  372.77 m/s

<h3>What is a sound wave?</h3>

It is a particular variety of mechanical waves made up of the disruption brought on by the movements of the energy. In an elastic medium like the air, a sound wave travels through compression and rarefaction.

For calculating the wave velocity of the sound waves generated from the piano can be calculated by the formula

V= √F/μ

where v is the wave velocity of the wave travel on the string

F is the tension in the string of piano

μ is the mass per unit length of the string

As given in question a steel piano wire, of length 1.150 m and mass of 4.80 g is stretched under a tension of 580.0 N.

The μ is the mass per unit length of the string would be

μ = 4.80/(1.150×1000)

μ = 0.0041739 kg/m

By substituting the respective values of the tension on the string and the density(mass per unit length) in the above formula of the wave velocity

V= √F/μ

V=√(580/0.0041739)

V =  372.77 m/s

Thus,  the speed of transverse waves on the wire comes out to be  372.77 m/s

Learn more about sound waves from here

brainly.com/question/11797560

#SPJ1

6 0
1 year ago
Other questions:
  • A farmer places unhatched chicken eggs under a heat lamp. How does the radiation help the eggs?
    8·2 answers
  • What happens to the sound waves when the source of the sound is moving toward you
    14·1 answer
  • An object is dropped near the earth's surface. At the end of 4.0 s, how fast is it falling in m/s? (Ignore air resistance.)
    7·2 answers
  • BRAINLEST HURRY PLZZ HELP<br> the options for number 1 2 and 3 are A B C D
    9·2 answers
  • All the organelles in a cell work together to help the cell and the whole organism function. Some diseases are caused by the fai
    15·2 answers
  • What is the difference between speed and velocity?
    14·1 answer
  • Which is not true about the pH scale?
    9·2 answers
  • In order to go in a circle at a constant speed an object needs
    13·1 answer
  • Answer please help me ​
    15·1 answer
  • A treasure chest full of silver and gold coins is being lifted from a pirate ship to the shore using two ropes as shown in the f
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!