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
BigorU [14]
3 years ago
10

A 19.3 kg dog is running northward at 2.98 m/s , while a 6.26 kg cat is running eastward at 3.64 m/s . Their 78.7 kg owner has t

he same momentum as the two pets taken together. You may want to review. Find the direction and magnitude of the owner's velocity.
Physics
1 answer:
m_a_m_a [10]3 years ago
3 0

Answer:

v = 0.78 m/sec at 21.61° towards the east of north

Explanation:

Given a 19.3 kg dog is running northward at 2.98 m/s , while a 6.26 kg cat is running eastward at 3.64 m/s and the mass of the owner is 78.7 kg.

Given m(dog) = 19.3 kg and m(cat) = 6.26 kg

v(dog) = 2.98\vec{j} m/sec

v(cat) =  3.64\vec{i} m/sec

Given the \vec{P}(owner)=\vec{P}(dog)+\vec{P}(cat)

Let the velocity of the owner be \vec{v}

We know that \vec{P}=m\vec{v}

m(owner)\times \vec{v}=m(dog)\times \vec{v(dog)}+m(cat)\times \vec{v(cat)}

78.7\times \vec{v}=19.3\times 2.98\vec{j}+6.26\times 3.64\vec{i}

\vec{v}=\frac{1}{78.7}(57.5\vec{j}+22.78\vec{i})

v=\sqrt{(\frac{57.5}{78.7})^2+(\frac{22.78}{78.7})^2  }

v=0.78 m/sec

for direction

Tan(α)=\frac{component of x}{component of y}

where α is the angle toward east of north.

Tan(α)=\frac{22.78}{57.5}

α=21.61°

You might be interested in
An organ pipe open at both ends is 1.5 m long. A second organ pipe that is closed at one end and open at the other is 0.75 m lon
telo118 [61]

Answer:

A. 110Hz,220Hz, 330 Hz

Explanation:

for organ open at open both ends;

the length of the organ for the fundamental frequency, L = A---->N + N----->A

A---->N  = λ /4 and N----->A = λ /4

L = λ /4 + λ /4 = λ /2

L = \frac{\lambda}{2} \\\\\lambda = 2L

λ  = 2 x 1.5m = 3.0 m

Wave equation is given by;

V = Fλ

Where;

V is the speed of sound

F is the frequency of the wave

F = V/ λ

F₀ = V / 2L

Where;

F₀  is the fundamental frequency

F₀ = 330 / 2(1.5)

F₀ = 330 / 3

F₀ = 110 Hz

the length of the organ for the first overtone, L = A---->N + N----->A + A----->N +  N----->A

L = 4λ /4

L = λ

λ = 1.5 m

F₁ = 330 / 1.5

F₁ = 220 Hz

Thus, F₁ = 2F₀

For open organ at one end

the length of the organ for the fundamental frequency, L = N------A

L = λ /4

λ = 4L

F₀ = V/4L

F₀ = 330 / (4 x 0.75)

F₀ = 110 Hz

the length of the organ for the first overtone, L = N-----N + N-----A

L = λ/2 + λ / 4

L = 3λ /4

F₁ = 3F₀

F₁ = 3 x 110

F₁ = 330 Hz

Thus the fundamental frequency for both organs is 110 Hz,

The first overtone for the organ open at both ends is 220 Hz

The first overtone for the organ open at one end is 330 Hz

The correct option is "A. 110Hz,220Hz, 330 Hz"

6 0
3 years ago
By how much do the critical angles for red (660 nm) and violet (410 nm) light differ in a diamond surrounded by air?
Stella [2.4K]

the critical angle for red light in diamond is 24.51°

critical angle for violet light in diamond is 24.01°.

given:

wavelength of red light λr =660nm

wavelength of violet light λv =410nm

refractive index for air=1

as the refractive index of red and violet colour in diamond is

Refractive index of red color nr= 2.407

Refractive index of violet color nv= 2.451

as it is mentioned that angle is critical angle,thus θr =90°

so,from Snell's law

n1sinθc=n2 sin 90°

Here,

n1 is the refractive index for incident medium

n2 is the refractive index for refractive medium

θc is the critical angle after which light starts reflecting internally

The critical angle for red light is here,n1=2.407, n2=1

n1sinθc=n2 sin 90°

2.407×sin θc=1×1

sin θc =(1/2.407)

θc=sin-1 0.415

θc=24.51°

Thus,the critical angle for red light in diamond is 24.51°

The critical angle for violet light is,

here,n1=2.451,n2=1

n1sinθc=n2 sin 90°

2.407×sin θc=1×1

sin θc= (1/2.451)

θc=sin-1 0.407

=24.01°

Thus,the critical angle for violet light in diamond is 24.01°.

learn more about Snell's law from here: brainly.com/question/2273464

#SPJ4

3 0
2 years ago
The momentum of an object is determined to be 7.2 X 10-3 kg m/s. Express this quantity as provider or use any equivalent unit.
olasank [31]

There could be more than just one answer, since kilograms can be converted to grams, to miligrams, etc.

7.2\frac{g.m}{s}

or

7200\frac{mg.m}{s}

Why?

Let's remember some conversion factors to work with kilograms (kg)

1kg=1000g=1x10^{3}g \\1kg=1,000,000mg=1x10^{6}mg \\1g=1000mg=1x10^{3}mg

So, we are given the momentum:

momentum=7.2x10^{-3} \frac{kg.m}{s}

We can rewrite the units of the momentum (equivalent) as follow:

momentum=7.2x10^{-3}kg \frac{m}{s}=7.2x10^{3} x10^{-3}g\frac{m}{s}=7.2\frac{g.m}{s}

and

momentum=7.2x10^{-3}kg \frac{m}{s}=7.2x10^{3} x10^{6}mg\frac{m}{s}=7.2x10^{3}\frac{mg.m}{s}

Note: There could be more equivalent units for the momentum, in example, we could work with equivalent units for meters (distance) and seconds (time).

Have a nice day!

8 0
3 years ago
Read 2 more answers
What is the kinetic energy of a 100 kg object that is moving with a speed of 12.5m/s
Doss [256]

The kinetic energy of any moving object is

                           (1/2) (mass) (speed²) .

For the object you described, that's

                            (1/2) (100 kg) (12.5 m/s)²

                         =      (50 kg)  (156.25 m²/s²)

                         =              7,812.5 joules  
______________________________

Your attachment is way out of focus, and impossible to read.

7 0
3 years ago
Witch of the following object is not a practical example of gravity acting on a moving object?
seraphim [82]

the answer is B. a car speeds up as a traffic light turns green

8 0
3 years ago
Other questions:
  • What is the charge on a hypothetical ion with 35 protons and 37 electrons?
    9·1 answer
  • What is the current hypothesis on how the earths moon formed
    8·2 answers
  • a gas is placed inside a very cold box . The gas molecules transfer heat to the walls of the box. Which best describes what happ
    5·1 answer
  • A system is said to be closed if _____ the system.
    11·1 answer
  • Particles in a warmer block will have
    13·1 answer
  • The Grand Canyon is 1800 meters deep at its deepest point. A rock is dropped from the rim above this point. Write the height of
    14·1 answer
  • A rocket travels 600m while being accelerated uniformly from rest at a rate
    5·1 answer
  • Light bulb 1 operates with a filament temperature of 2700 K whereas light bulb 2 has a filament temperature of 2100 K. Both fila
    10·1 answer
  • When holes are drilled through the wall of a water tower, water will spurt out the greatest horozontal distance from the hole cl
    11·1 answer
  • Please help<br> types of stimuli the sensory organs receive.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!