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
Svetradugi [14.3K]
2 years ago
10

The ultracentrifuge is an important tool for separating and analyzing proteins. Because of the enormous centripetal acceleration

s, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. Any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. Suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample.

Physics
1 answer:
Marat540 [252]2 years ago
3 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The net force is  F_{net}= 6.44 *10^{-4} N

Explanation:

Generally the net force is a force that come up due to the unequal centripetal force(A difference in centripetal force ) and it is mathematically represented  as

                     F_{net} =  \Delta  F_{cen}

and the difference in centripetal force  \Delta F_{cen} is mathematically represented as

               \Delta F_{cen} = \Delta m* rw^2

Which the difference in mass multiplied by the centripetal acceleration

  Substituting 10 mg = 10 *10^{-3}g for \Delta m , 12 cm = \frac{12}{100} = 0.12m for radius

  and  70,000 rpm = 70,000 *[\frac{2 \pi rad}{1 rev}][\frac{1 min}{60s} ] = 7326.7 rad/s

              F_{net} = \Delta F_{cen} = 10*10^{-3} * 0.12 * 7326.7

                     F_{net}= 6.44 *10^{-4} N

You might be interested in
A particle moves in a straight line with the velocity function v ( t ) = sin ( w t ) cos 3 ( w t ) . find its position function
Sunny_sXe [5.5K]

Integrating the velocity equation, we will see that the position equation is:

$f(t)=\frac{\cos ^3(\omega t)-1}{3}

<h3>How to get the position equation of the particle?</h3>

Let the velocity of the particle is:

$v(t)=\sin (\omega t) * \cos ^2(\omega t)

To get the position equation we just need to integrate the above equation:

$f(t)=\int \sin (\omega t) * \cos ^2(\omega t) d t

$\mathrm{u}=\cos (\omega \mathrm{t})

Then:

$d u=-\sin (\omega t) d t

\Rightarrow d t=-d u / \sin (\omega t)

Replacing that in our integral we get:

$\int \sin (\omega t) * \cos ^2(\omega t) d t$

$-\int \frac{\sin (\omega t) * u^2 d u}{\sin (\omega t)}-\int u^2 d t=-\frac{u^3}{3}+c$

Where C is a constant of integration.

Now we remember that $u=\cos (\omega t)$

Then we have:

$f(t)=\frac{\cos ^3(\omega t)}{3}+C

To find the value of C, we use the fact that f(0) = 0.

$f(t)=\frac{\cos ^3(\omega * 0)}{3}+C=\frac{1}{3}+C=0

C = -1 / 3

Then the position function is:

$f(t)=\frac{\cos ^3(\omega t)-1}{3}

Integrating the velocity equation, we will see that the position equation is:

$f(t)=\frac{\cos ^3(\omega t)-1}{3}

To learn more about motion equations, refer to:

brainly.com/question/19365526

#SPJ4

4 0
1 year ago
Which of these is the movement of material cause by the interaction between worm and cool material?
mr Goodwill [35]
Convection Current  
This happens when there is a noteworthy contrast in temperature between two sections of a liquid. At the point when this temperature distinction exists, hot liquids rise and cool liquids sink, and after that streams, or developments, are made in the liquid
7 0
3 years ago
I need help with 5 please and thank you
Likurg_2 [28]

Answer: A

Explanation:

7 0
3 years ago
Two charges are located in the x-y plane. If q1=-4.55 nC and is located at x=0.00 m, y=0.680 m and the second charge has magnitu
Elden [556K]

Answer:

Ex= -23.8 N/C  Ey = 74.3 N/C

Explanation:

As the  electric force is linear, and the electric field, by definition, is just this electric force per unit charge, we can use the superposition principle to get the electric field produced by both charges at any point, as the other charge were not present.

So, we can first the field due to q1, as follows:

Due  to q₁ is negative, and located on the y axis, the field due to this charge will be pointing upward, (like the attractive force between q1 and the positive test charge that gives the direction to the field), as follows:

E₁ = k*(4.55 nC) / r₁²

If we choose the upward direction as the positive one (+y), we can find both components of E₁ as follows:

E₁ₓ = 0   E₁y = 9*10⁹*4.55*10⁻⁹ / (0.68)²m² = 88.6 N/C (1)

For the field due to q₂, we need first to get the distance along a straight line, between q2 and the origin.

It will be just the pythagorean distance between the points located at the coordinates (1.00, 0.600 m) and (0,0), as follows:

r₂² = 1²m² + (0.6)²m² = 1.36 m²

The magnitude of the electric field due to  q2 can be found as follows:

E₂ = k*q₂ / r₂² = 9*10⁹*(4.2)*10⁹ / 1.36 = 27.8 N/C (2)

Due to q2 is positive, the force on the positive test charge will be repulsive, so E₂ will point away from q2, to the left and downwards.

In order to get the x and y components of E₂, we need to get the projections of E₂ over the x and y axis, as follows:

E₂ₓ = E₂* cosθ, E₂y = E₂*sin θ

the  cosine of  θ, is just, by definition, the opposite  of x/r₂:

⇒ cos θ =- (1.00 m / √1.36 m²) =- (1.00 / 1.17) = -0.855

By the same token, sin θ can be obtained as follows:

sin θ = - (0.6 m / 1.17 m) = -0.513

⇒E₂ₓ = 27.8 N/C * (-0.855) = -23.8 N/C (pointing to the left) (3)

⇒E₂y = 27.8 N/C * (-0.513) = -14.3 N/C (pointing downward) (4)

The total x and y components due to both charges are just the sum of the components of Ex and Ey:

Ex = E₁ₓ + E₂ₓ = 0 + (-23.8 N/C) = -23.8 N/C

From (1) and (4), we can get Ey:

Ey = E₁y + E₂y =  88.6 N/C + (-14.3 N/C) =74.3 N/C

7 0
3 years ago
Which of the following is a source of direct electric current?
Svetllana [295]
Hi , the answer is D , battery.
5 0
2 years ago
Read 2 more answers
Other questions:
  • A woman using a compass and a map walks 132 east of north for 6 km
    8·2 answers
  • In a pilot study to help train a group of data collectors who will evaluate childrens pain using a FACES rating scale, the resea
    10·1 answer
  • which is the of these their statements correctly describes a key difference between aerobic activity and anaerobic activity
    10·1 answer
  • A suspended object A is attracted to a neutral wall. It's also attracted to a positively-charged object B. Which of the followin
    6·1 answer
  • Please help!!!!
    6·1 answer
  • if a source of sound waves is rabidly approaching a person the sound heard by the person appears to have?
    14·2 answers
  • How many ways can you see that heat can transfer from the inside to the outside of your home on a cold day? List at least three
    15·1 answer
  • You rub a rod of glass with a cotton cloth, then dip the cloth into a Faraday pail like we will be using in lab. Will a charge s
    7·1 answer
  • if a car is moving on a highway at 70 kilometers per hour going east, what happens to its speed and velocity ​
    7·1 answer
  • Which of these objects has the greatest inertia?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!