A stage has a radius R = 2.00 m and a mass M = 100 kg. The stage, which has a circular disk
shape, rotates in a horizontal plane, without any friction, about a vertical axle. Sandra has a
mass of m = 60.0 kg and she walks from the rim of the stage toward the center. Calculate the
angular speed when she reaches a point r = 0.500 m from the center, if the angular speed of the
system is 2.0 rad/s when Sandra is at the rim

Answer:

289.1kg

Explanation:

because W=M*G, and M=W/G, so 2891N/10m/s²=289.1kg

For a twin mass of 30.9 kg, sitting at a distance of 1.85 m, with a horizontal force of 59.0 N  the ratio of Serena's speed to Sallie's speed  is mathematically given as

V= 2.06:1

Generally, the equation for the velocity   is mathematically given as

v = w r

Therefore

[tex]\frac{v serena}{vsallie} = \frac{r serena}{r sallie}[/tex]

V= 3.63/1.76

V= 2.06

In conclusion,  the ratio is

V= 2.06:1

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#1

Yes gravity is acting downwards

#2

#3

#4

$5

No Applied force

[tex]1)\\\\\text{Kinetic energy,}\\\\E_k = \dfrac 12 mv^2 \\\\\implies m = \dfrac{2E_k}{v^2} = \dfrac{2\times 4500}{30^2}=10~ kg\\ \\2)\\\\\text{Kinetic energy,}\\\\E_k = \dfrac 12mv^2 \\\\\implies v^2 = \dfrac{2E_k}m\\\\\implies v = \sqrt{\dfrac{2E_k}{m}}=\sqrt{\dfrac{2 \times 320}{\dfrac{20}{9.8}}}= 17.709 ~ ms^{-1}\\\\3)\\\\\text{Kinetic energy,}\\\\E_k=\dfrac 12 mv^2=\dfrac 12 \times 50 \times 10^2=2500 ~J\\\\\\[/tex]

[tex]4)\\\\\text{Potential energy,}\\\\E_p =mgh = 5\times 9.8\times 1.5 = 73.5 ~J[/tex]

The change in angular momentum of the pulley-block system is given as [tex]\omega = Rm_ogt_o[/tex]

Data;

This is the force that makes object rotate about an axis. The formula is given as the product between the radius about the axis and the force acting upon it.

The torque about point o is given as

[tex]\tau = R * m_og[/tex]

The change in angular momentum about point 'o' is the product between the torque and time.

[tex]\omega = \tau * t_o\\\omega = Rm_ogt_o[/tex]

The change in angular momentum of the pulley-block system is given as

[tex]\omega = Rm_ogt_o[/tex]

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Answer:

A) nucleus, ribosomes, and chloroplasts

B) mitochondria, cell wall, chloroplasts

D) cell membrane, ribosomes, small vacuoles

E) cell wall, central vacuole, and cell membrane

Explanation:

It cannot be C as the list features centrioles, which is an animal-cell only structure.

The flow of electrons causes charge dispersion. Due to the ability of conductors to transmit electrons from one particle to another, a charged item will always spread its charge until the overall repulsive interactions between surplus electrons are minimized.

Answer:

approximately 7 seconds

Explanation:

The given scenario is just an example of Projectile Motion.

In this question, we are given:

- Initial Velocity (u) = 40 m/s

- Angle of Elevation (θ) = 60 degrees

- Distance of Bird (s) = 145 meters        [Not used for the time of flight]

Time of Flight:

[tex]T = \frac{2uSin(\theta)}{g}[/tex]

we will use g = 9.8 m/s/s since we are not told otherwise.
[tex]T = \frac{2(40)Sin(60 degrees)}{9.8}[/tex]

[tex]T = \frac{40\sqrt{3}}{9.8}[/tex]

T = 4.081(√3) seconds
rounded to 7 seconds

The normal force of the ferris wheel on a 10kg toddler at the very bottom of the ferris wheel is 102.41 N.

The normal force of the ferris wheel on a 10kg toddler at the very bottom of the ferris wheel is calculated as follows;

Fn = Fc + mg

Fn = mω²r + mg

where;

Fn = 10(0.21²) 10  + 10(9.8)

Fn = 102.41 N

Thus, the normal force of the ferris wheel on a 10kg toddler at the very bottom of the ferris wheel is 102.41 N.

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The volume of the material that must be used to make a star with the mass of the sun is 1.2×10⁵¹ m³.

Volume is the amount of space occupied by an object or a plane figure.

To calculate the volume of the material that must be used to make a star with the mass of the sun, we use the formula below.

Formula:

Where:

Make V the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The volume of the material that must be used to make a star with the mass of the sun is 1.2×10⁵¹ m³.

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Answer:

the two types of materials interacting (described by the coefficient μk) and how hard these two surfaces are pushed together (the normal force)

hope this helps and is it needs more let me know

Answer: B. Green

Explanation:

        Since the object absorbs all the other options listed here, it will reflect green light. This makes the object appear green to our eyes.

        Blue (A), indigo (C), and red (D) are listed in red, orange, yellow, blue, indigo, and violet. Green is not, so this is our answer.

     Fun fact:

An example of this is grass!

Answer:

green

Explanation:

Answer:

Oscillate

Explanation:

wave oscillates the particles of the medium around their equilibrium point.

The electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.

An electric field is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

Thus, for the charged balloon and a charged piece of paper 0.04 m away, we can conclude that, the electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.

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#SPJ1

Answer:

292.31 m/s

Explanation:

If Distance (d) = 190m

Time (t) = 1.3s

Speed of sound in air (v) =?

then

2d=vt

v=2d/t

v= 2×190/1.3

v=292.31 m/s

Answer:

when new information disproving the current theory becomes available.

Explanation:

hope this helps..

Answer:

when new evidence is discovered

Increasing the temperature causes an increase in the average kinetic energy of the particles of a material.

The average kinetic energy of particles is the energy possessed by particles due to their constant motion.

The constant motion of particles occurs due to the energy acquired by the particles, when the temperature of the particles increases, the average kinetic energy increases which in turn increases the speed of the particles.

Thus, we can conclude that, increasing the temperature causes an increase in the average kinetic energy of the particles of a material.

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Hypotenuse be H

Apply Pythagorean theorem

[tex]\\ \sf\Rrightarrow H^2=P^2+B^2[/tex]

[tex]\\ \sf\Rrightarrow H^2=5^2+9^2[/tex]

[tex]\\ \sf\Rrightarrow H^2=25+81[/tex]

[tex]\\ \sf\Rrightarrow H^2=106[/tex]

[tex]\\ \sf\Rrightarrow H=\sqrt{106}cm[/tex]

The total change in velocity of the satellite is 23 m/s

In Physics, Impulse is the product of mass and change in velocity

Given:

mass = 46 kg

Impulse = 1035 kg•m/s

change in velocity = ?

impulse = mass * velocity

change in velocity = Impulse / mass

change in velocity = 1035 / 45

change in velocity =  23 m/s

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Answer:

47

Explanation:

48km:1hr (10sec×60min=600hr)

¥ :600hr

1hr÷¥=1. 48×600÷1=2800

2800÷60=47

47 will be the acceleration

[tex]\text{Initial velocity,}~ u = 0 ~ ms^{-1}\\\\\text{Final velocity,}~ v = 48~kmh^{-1} = \dfrac{48\times 1000}{3600} ms^{-1} = 13.33 ms^{-1}\\ \\\text{Time,}~ t = 10~ sec\\\\\text{Acceleration,}~ a = \dfrac{v-u}{t} = \dfrac{13.33-0}{10} = \dfrac{13.33}{10} = 1.33 ~ ms^{-2}\\\\\text{Hence the acceleration of the car is}~ 1.33 ~ms^{-2}.[/tex]

Answer:

10 m/s

Explanation:

Given

Solving :

Now

[tex]\\ \sf\rightarrowtail Power=\dfrac{Work\:done}{Time\:taken}[/tex]

[tex]\\ \sf\rightarrowtail Power=\dfrac{250}{1}[/tex]

[tex]\\ \sf\rightarrowtail Power=250W[/tex]

Answer:

0

Explanation:

because no distance covered by body

Answer:

Newton

Explanation:

The SI unit for weight is newton.

According to Newton's third law

So

[tex]\\ \rm\dashrightarrow F_{A}=-F_A[/tex]

As car is pushed forward so the opposing force is less than 8000N

Answer:It is less than 8,000 N and greater than zero.

Explanation:

(a) The velocity (in m/s) of the rock after 1 second is 11.28 m/s.

(b) The velocity of the rock after 2 seconds is 7.56 m/s.

(c) The time for the block to hit the surface is 4.03.

(d) The velocity of the block at the maximum height is 0.

The velocity of the rock is determined as shown below;

Height of the rock after 1 second; H(t) = 15(1) - 1.86(1)² = 13.14 m

v² = u² - 2gh

where;

v² = (15)² - 2(3.72)(13.14)

v² = 127.23

v = √127.23

v = 11.28 m/s

v = dh/dt

v = 15 - 3.72t

v(2) = 15 - 3.72(2)

v(2) = 7.56 m/s

dh/dt = 0

15 - 3.72t = 0

t = 4.03 s

v = u - gt

v = 15 - 3.72(4.03)

v = 0

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Answer:

A. boi-gas

Explanation:

This may help u

Answer:

The reflection and rectilinear propagation of light helps in the formation of shadows and also tells light doesn't penetrate opaque materials.

Answer:

I think the object would accelerate.

Explanation:

When the unbalanced force hits the object, it transfers some of its force to the object, making it accelerate

We need evidence to be able to continually test theories about the composition and origin of our solar system and galaxies in order to verify the theories and to make laws.

A theory is an explanation for observations of the natural world that has been carried by using the scientific method, and which brings together many facts.

So we can conclude that we need evidence to test theories about the composition and origin of our solar system in order to verify the theories and to make laws.

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