A centrifuge is a device used to separate materials by their masses. A sample in a centrifuge is rotated at high speeds along a circular path a distance of 10.0 cm from the center of the centrifuge. A centrifuge constantly accelerates a 1.00-gram sample from rest to a speed of 1,000 revolutions per minute in 1.00 seconds. Eventually, the sample reaches a speed 10.5 m/s. What is the magnitude and direction of the centripetal force acting on the sample

Answers

Answer 1

Answer:

 F = 1.047 10⁻² N

Explanation:

Let's use kinematics to find the angular acceleration

             w = w₀ + α t

as for rest w₀ = 0

             w = α t

             α = w / t

let's reduce the magnitudes to the SI system

              w = 1000 rev / min (2π rad/ 1 rev) (1 min/ 60s) = 104.72 rad / s

              m = 1.00 g (1 kg / 1000 g) = 1,000 10⁻³ kg

              r = 10.0 cm (1 m / 100 cm) = 0.100 m

let's calculate

              α = 104.72 / 1

              α = 104.72 rad / s²

angular and linear variables are related

               a = α  r

               a = 104.72 0.100

               a = 10.47 m / s²

finally we substitute in Newton's second law

               F = 1 10⁻³ 10.47

               F = 1.047 10⁻² N


Related Questions

10POINTS!!

A satellite orbits Earth 350 km above Earth's surface. Calculate the free-fall acceleration at this altitude.

Answers

Answer:

8.82 m/s²

Explanation:

Formula for the free fall or gravitational acceleration is;

a = GM/r²

Where;

G is gravitational constant = 6.67 × 10^(-11) m³/kg.s²

M is mass of earth = 5.972 × 10^(24) kg

r is radius of earth = 6371 km

We are given that the satellite orbits Earth 350 km above Earth's surface.

Thus, new radius = 6371 + 350 = 6721 km = 6721000 m

Thus;

a = (6.67 × 10^(-11) × 5.972 × 10^(24))/(6721000²)

a = 8.82 m/s²

what is impulse in physical science ​

Answers

Answer:

In classical mechanics, impulse (symbolized by J or Imp) is the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity. ... A resultant force causes acceleration and a change in the velocity of the body for as long as it acts.

What is the earliest time at which the oscillator shown below is stationary?

Answers

Answer:

0.0s

Explanation:

I got it right in acellus

Answer: 0.0

Explanation:

Which type of electricity is a one-time event, caused by unbalanced charges trying to become neutral again?

Answers

Answer: yes

Explanation:

Calculate wavelength of tube of length 15, 18, 20 cm.

Answers

Answer:In this lesson, the mathematical relationship between the tube's length, the speed of sound through air, and the ... Thus, the length of the air column is equal to one-half of the wavelength for the first harmonic. ... Determine the fundamental frequency (1st harmonic) of an open-end air column that has a length of 67.5 cm.

Explanation:

The rate at which work is done is known as which of the following?
A. Power,
B. Energy,
C. Momentum,

Answers

Answer:

A , power

Explanation:

Hope this is useful. Have a lovely rest of your day! God bless you.

Help please :)

Ultraviolet waves are transmitted by ....... ?

Answers

Answer:

Sunlight is the greatest source of UV radiation. Man-made ultraviolet sources include several types of UV lamps, arc welding, and mercury vapour lamps.

Explanation:

an austrain who lived in vienna who composed graetest music for waltz dance

Answers

Johann Strauss II



hope this helps

an egg is Free Falling Down from a nest in a tree (neglect air resistance)​

Answers

We are to calculate the acceleration.

Answer:

-9.8 m/s²

Explanation:

Since the egg is in a free fall, it means that the force due to gravity will be equal to the normal force.

Now,

Force due to gravity: F_g = mg

Normal force; F_n = ma

Thus;

mg = ma

m will cancel out to get

g = a

Since it is a free fall motion, then gravity is negative;

-g = a

g has a constant value of 9.8 m/s². Thus;

a = -9.8 m/s²

a guitar string transmits waves at 509 m/s. to create a 491 Hz note, to what length should the guitar player shorten the string?

Answers

Answer:

Wavelength = 1.04 meters

Explanation:

Given the following data;

Speed = 509m/s

Frequency = 491Hz

To find the wavelength;

Wavelength = speed/frequency

Wavelength = 509/491

Wavelength = 1.04 meters

Therefore, the guitar player should shorten the length of the string to 1.04 meters.

Answer: 0.52

Explanation:

Physics help, thank you guys so much!

Answers

Answer:

 Δt = 5.85 s

Explanation:

For this exercise let's use Faraday's Law

           emf = [tex]- \frac{d \phi}{dt}[/tex] -  d fi / dt

           [tex]\phi[/tex] = B. A

           \phi = B A cos θ

The bold are vectors. It indicates that the area of the body is A = 0.046 m², the magnetic field B = 1.4 T, also iindicate that the normal to the area is parallel to the field, therefore the angle θ = 0 and cos 0 =1.

suppose a linear change of the magnetic field

            emf = - A [tex]\frac{B_f - B_o}{ \Delta t}[/tex]

             Dt = - A  [tex]\frac{B_f - B_o}{emf}[/tex]

the final field before a fault is zero

       

let's calculate

            Δt = - 0.046 (0- 1.4) / 0.011

            Δt = 5.85 s

a skydiver is falling down through the air but has not reach terminal velocity (not consistent velocity )(considered air resistance)​

Answers

We are to find the acceleration.

Answer:

-9.2 m/s²

Explanation:

Total force is expressed as;

ΣF = F_d + F_g

We are given;

F_d = 50 N

Mass of skydiver = 78 kg

Thus, F_g = 78 × -9.8

g is negative since it is a free fall

Thus;

F_g = -764.4 N

ΣF = 50 - 764.4

ΣF = -714.4 N

Formula for acceleration is;

ΣF = ma

a = -714.4/78

a ≈ -9.2 m/s²

A magnet produces a magnetic field.

Which diagram shows the magnetic field pattern around a bar magnet

Answers

You Forgot To Add The Pictures

Which statement about oceans is incorrect?

A Evaporation occurs when water is warmed by the sun.
B Most evaporation and precipitation occur over the ocean.
C 97 percent of Earth's water is fresh water from the ocean.
D Water leaves the ocean by the process of evaporation.

Answers

It is C because less than one percent of water is fresh water

8. What is the mass of a toy car with a speed of 12.5 m/s and 47500 J of kinetic energy?

Answers

Answer:

608kg

Explanation:

Formula : Kinetic energy

½ ×mass x speed²

47500

½×12.5²

=608 Kg

a.
2. The following examples are good conductors except:
a. Silver
b. Metal
Plastic
d. Copper ​

Answers

Copper!! Because batteries need copper to operate!!

Answer:

plastic

Explanation:

1. What does the Work-Energy Theorem state?
Work is equal to the change in kinetic energy
Work is equal to the change in momentum
Work is equal to the change in impulse
Work is equal to the change in position

Answers

The principle of work and kinetic energy (also known as the work-energy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle. ... Kinetic Energy: A force does work on the block. So the answer would be the first one.

The Work-Energy Theorem states that Work is equal to the change in kinetic energy, which is the first option . This theorem is an essential principle in physics and mechanics, so first option is correct.

Work (W) is a measure of the energy transferred to or from an object by a force acting on it. It is defined as the product of the force applied to the object and the displacement of the object in the direction of the force. When a force does positive work on an object, it transfers energy to the object, increasing its kinetic energy. Conversely, when a force does negative work on an object (opposite to its direction of motion), it takes energy away from the object, decreasing its kinetic energy. So, first option is correct.

Learn more about the work-energy theorem here.

https://brainly.com/question/30560150

#SPJ6

A ball on the end of a string is whirled around in a horizontal circle of radius 0.300 m. The plane of the circle is 1.00 m above the ground. The string breaks and the ball lands 2.30 m (horizontally) away from the point on the ground directly beneath the ball's location when the string breaks. Find the centripetal acceleration in m/s2 of the ball during its circular motion.

Answers

Answer:

86.7 m/s²

Explanation:

Given that

Radius of the circle, r = 0.3 m

Height of the plane above the ground, = 1 m

Distance at which the ball lands, d = 2.3 m

To solve this question, we would use one of the principles of projectile motion.

v = ut + 1/2at²

-1 = 0 + 1/2 * -9.8 * t²

-1 = -4.9 t²

t² = 1/4.9

t² = 0.204

t = √0.204

t = 0.45 s

Then again, it's constant horizontal speed is

v(x) = x/t

v(x) = 2.3 / 0.45

v(x) = 5.1 m/s

And finally, the centripetal acceleration is gotten using the formula

a = v²/r

a = 5.1² / 0.3

a = 26.01 / 0.3

a = 86.7 m/s²

A boy kicks a football with a force of 20 N, the time the force acts for is 0.3s. Calculate the impulse on the ball.

Answers

Answer:

20 * .3 = 6N

Explanation:

The impulse on the ball kicked with a force of 20 N force 0.3 s is 6 Ns

From the question given above, the following data were obtained:

Force = 20 N

Time = 0.3 s

Impulse = ?

The impulse on the ball can be obtained as follow:

[tex]impulse \: = force \: \times time \\ impulse \: = 20 \: \times \: 0.3 \\[/tex]

Impulse = 6 Ns

Therefore, the impulse on the ball is 6 Ns

Learn more: https://brainly.com/question/231466

What is the relationship between CO2 levels and temperature?

What can you infer from this? (make a guess or assumption based on the data)

Approximately what year did the concentration of CO2 first exceed 300 ppm?

Answers

Answer:

I can infer that higher levels of CO2 result in warmer temperatures. The CO2 first exceeded 300 ppm in 1950.

Let me know if this helps!

Who watching all star draft? Luka better get picked first ong

Answers

Na dame Dolla fo surrrreeeeee

The earth rotates through one complete revolution every 24 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 24 hours. Find the angular and linear velocity of a person standing on the equator. The radius of earth is approximately 4000 miles.

Answers

Answer:

ω = 7.27 x 10⁻⁵ rad/s

v = 467.99 m/s

Explanation:

First, we will find the angular velocity of the person:

[tex]Angular\ Velocity = \omega = \frac{Angular\ Distance}{Time}[/tex]

Angular distance covered = 1 rotation = 2π radians

Time = (24 h)(3600 s/ 1 h) = 86400 s

Therefore,

[tex]\omega = \frac{2\pi\ rad}{86400\ s}[/tex]

ω = 7.27 x 10⁻⁵ rad/s

Now, for the linear velocity:

[tex]v = r\omega[/tex]

where,

v = linear velocity = ?

r = radius of earth = (4000 miles)(1609.34 m/1 mile) = 6437360 m

Therefore,

[tex]v = (6437360\ m)(7.27\ x\ 10^{-5}\ rad/s)[/tex]

v = 467.99 m/s

a force is applied to the right to drag a sled to the right across Loosely packed snow with a rightward acceleration (considered friction forces)​

Answers

Answer:

1.67 m/s²

Explanation:

Total force is;

ΣF = F_f + F_a

From the free body diagram attached, we see that the frictional force F_f is acting in a negative direction.

Thus;

ΣF = -15 + 30

ΣF = 15 N

Now, to get the acceleration, we will use the formula;

ΣF = ma

We are given m = 9 kg

Thus;

15 = 9a

a = 15/9

a = 1.67 m/s²


___________is
objects total kinetic and potential energy.

Answers

Answer:

Bowling ball

Explanation:

Someone pls help!! Right now :(

Answers

It would be yes, once they pull the parachute they start to accelerate upwards

Which would be a good analogy of wave motion

Answers

I think (C )
----------------

Answer:

i believe it would be C

Explanation:

During which sequence of phases does the moon's visibility increase

Answers

During the "waxing" phases, the two weeks immediately following the New Moon.

New Moon ==> waxing crescent ==> First Quarter ==> waxing gibbous ==> Full Moon

The phase of the moon decides the moon's visibility. The sequence of phases does the moon's visibility increases is; the waxing crescent, first quarter, waxing gibbous, full Moon.

What is the moon phase?

The moon changes shape every day. This is due to the fact that the celestial body has no light of its own and can only reflect sunlight.

Only the side of the moon facing the sun can reflect this light and seem bright. The opposite side appears black. this is a full moon.

We can only see the black section when it lies between the sun and the earth when a new moon occurs. We witness intermediate phases like a half-moon and crescent in between these two extremes.

Following are the sequence of phases does the moon's visibility increase is;

1. Waxing crescent

2. First Quarter

3. Waxing gibbous

4. Full Moon

The phase of the moon decides the moon's visibility. Hence the visibility changes with the change in the phase of the moon.

To learn more about the moon's phase refer to the link;

https://brainly.com/question/2285324

Which of the following is an example of kinetic mechanical energy?
Immersive Reader
(2 Points)

A. A bike rolling down a hill

B. An elevated wrecking ball

C. A compressed spring

D. A loaded gun

E. A set mouse trap

Answers

Answer:

A

Explanation:

Kinetic energy must be moving. Potential energy has the ability to move but is not doing so at the moment.

A is likely the answer. But there's lots involved in that kind of motion.

B If the ball is elevated, it implies it is not moving yet. It has potential energy.

C Again, the spring is compressed. It will push something when it moves, but it is not moving yet.

D The load gun's bullet is not moving. It's still potential energy.

E. The mouse trap is set, but it is not moving. When the mouse eats the bait then it's potential energy will transform into kinetic energy.

The idea is to get as much EMF produced from the sprinter running through it. If you were the Olympic coach on a year when there happens to be a global energy crisis, and medals were assigned based on how much EMF (or current) were produced by the sprinters, what 3 pieces of advice (one is quite obvious; the other two involve the fixed orientation of the baton and the maintained position of the baton within the circular solenoid cross-section) would you give your sprinters in order to win?

Answers

Answer:

the greater the speed, the greater the electromotive force

* The metal pole must be parallel to the field

* you must keep the ball of the field

Explanation:

To determine the advice to the runners, let's use the Farad equation to and

           fem = -N [tex]\frac{ d \phi}{dt}[/tex]  = -N [tex]\frac{ B A Cos \theta }{dt}[/tex]

how the runners are moving

                 fi = B l x

            fem = -N B l v

therefore the advice we can give are:

* the greater the speed, the greater the electromotive force

* The metal pole must be parallel to the field

* you must keep the ball of the field

An electron, moving toward the west, enters a uniform magnetic field. Because of this field the electron curves upward. The direction of the magnetic field is An electron, moving toward the west, enters a uniform magnetic field. Because of this field the electron curves upward. The direction of the magnetic field is downward. towards the west. upward. towards the south. towards the north.

Answers

Answer:

towards the north.

Explanation:

The uniform magnetic field has strength and direction in all points. The upwards motion of the field or he electronic curves will show a northern direction. Hence, the field can be created by taking the opposite magnetic in the two directions. The straight line of motion of the field will indicate the flow in the north direction. The magnetic field lines will remain parallel and stay uniform to poles.
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