(a) what is the magnitude of the tangential acceleration of a bug on the rim of an 11.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 79.0 rev/min in 3.50 s?

Answer:

(A)   9.2 Newtons

(B)   200.8 Newtons

Explanation:

Attached is the free body diagram I drew along with some of the work/formulas I used. Please ask me any questions you have in the comments about my diagram/work. I'd be happy to walk you through it.

The centripetal acceleration of the Cart is 20 m/s2.

Centripetal acceleration is a change in velocity that points toward the center of a circular path. It is the acceleration an object experiences when its velocity changes direction, but its speed remains constant. It is always directed toward the center of the circle and is caused by a force, such as gravity or friction. The magnitude of the centripetal acceleration is equal to the square of the object's velocity divided by the radius of the circle. Examples of centripetal acceleration include the motion of a satellite orbiting the Earth, a car rounding a curve, and a roller coaster car making a loop.

Given that,

Speed of the Cart = 10m/s

Radius of the loop = 5m

We know that the acceleration of the car can be computed as follows:
a = v2/R
a = (10.0 m/s)2/(5.0 m)
a = 20.0 m/s2
Thus, the centripetal acceleration of the Cart is 20 m/s2

To learn more about Centripetal Acceleration:

https://brainly.com/question/22103069

#SPJ1

The mass of the rock will be 20 kg. This can be determined from the kinetic energy equation, k = 1/2 mv².

Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Kinetic energy may be transmitted from one thing to another, for example during collisions, and is determined by the mass of an item and its movement or speed.

Given in the question,

Kinetic Energy of rock = 2000J

Velocity of rock = 20 m/s

also, k.e. = 1/2 mv²

       2000 = 1/2 m × 20²

       m = 20 kg

The mass of rock that blew in the sky was 20 kg.

To know more about Kinetic Energy visit

brainly.com/question/999862

#SPJ4

The volume of the toy is 80 ml.

To find the volume of the plastic toy, Maher can use the principle of buoyancy. When an object is placed in a fluid, it will displace an amount of fluid equal to its own volume. The volume of the displaced fluid can be measured and used to calculate the volume of the object.

In this case, Maher has placed the toy in a graduated cylinder filled with water, and he has observed that the water level increased from 70 ml to 150 ml. This means that the toy displaced 150 - 70 = 80 ml of water.

The volume of the toy is equal to the volume of the displaced water, so the toy's volume is 80 ml. This is the volume of the toy when it is completely submerged in water.

It's important to note that the volume of an object can change depending on its temperature, pressure, and other factors. To get an accurate measurement of the volume of the toy, Maher should make sure to measure the volume of the displaced water carefully and under controlled conditions.

Answer:

Volume of the toy: [tex]80\; {\rm mL}[/tex].

Average density of the toy: [tex]2\; {\rm g\cdot mL^{-1}}[/tex] (or equivalently, [tex]2\; {\rm g \cdot cm^{-3}}[/tex].)

Explanation:

The graduated cylinder initially measures the volume of water in this cylinder:

[tex]V(\text{water}) = 70\; {\rm mL}[/tex].

Assume that the toy is submerged in the water. The graduated cylinder would then measure the volume of the water and the toy, combined:

[tex]V(\text{water}) + V(\text{toy}) = 150\; {\rm mL}[/tex].

Rearrange to find the volume of the toy:

[tex]\begin{aligned}V(\text{toy}) &= 150\; {\rm mL} - V(\text{water}) \\ &= 150\; {\rm mL} - 70\; {\rm mL} \\ &= 80\; {\rm mL}\end{aligned}[/tex].

To find the average density of this toy, divide mass by volume:

[tex]\begin{aligned}(\text{average density}) &= \frac{(\text{mass})}{(\text{volume})} \\ &= \frac{160\; {\rm g}}{80\; {\rm mL}} \\ &= 2\; {\rm g\cdot mL^{-1}}\end{aligned}[/tex].

The speed at the level of the lowest position is 5.01m/s.

Energy cannot be created or destroyed; it can only be changed from one form of energy to another, according to the law of conservation of energy. This implies that a system always has the same amount of energy, barring external energy addition.

To reduce expenses and protect the resources for future use, energy conservation is necessary. The environment is contaminated by the harmful gases released into the atmosphere by conventional energy sources. Traditional energy sources are finite and could run out one day.

This is a typical energy conservation question, Set the kinetic energy at the bottom and the potential energy at the height to be equal.

mgh = 1/2mv²

gh = v²/2

v = √2gh

v = √2×9.8×1.28m/s

v = 5.01m/s.

To know more about speed visit:

https://brainly.com/question/28224010

#SPJ4

The net force on the box is 40N.

The net force acting on an object is the result of all pushing and pulling forces acting on the object collectively (the sum). If there is an imbalance in the pushing and pulling forces acting on an object, the object will accelerate in the direction of the net force.

According to Newton's second law, an object's acceleration is inversely proportional to its mass and proportional to both the resultant force and the resultant force.

Force = m × a

40 = 10 × a

a = 40/10

a = 4m/s²

Net force ∑F = m×a

∑F = 10 × 4

∑F = 40N.

To know more about net force visit:

https://brainly.com/question/18560885

#SPJ4

In a one-dimensional string, a harmonic wave has a maximum transverse velocity and maximum transverse acceleration of 1ms-1 and 1ms-2, respectively.

We have attached a harmonic wave with a frequency of 80 Hodge to the string. Additionally, a positive extraction travels at a speed of 12 m/s with an amplitude of 0.025 m. Next, we must create a proper wave function for this wave in the first. In light of this.

we have established that the frequency F is the hurt amplitude is 0.025 m, and the speed is 12 m/s. As a result, given that we are aware of the wave function's writing, we may determine whether or not the sign K x minus omega T applies. Omega, which equals two pi into, is the angular frequency in this case. Thus, we can say that this word has been introduced. 80 is to be purchased That makes 160 by, too.

To learn more about string refer to :

https://brainly.com/question/24113108

#SPJ4

Given the following data:

Initial frequency = 0.83 Hz.

Additional mass = 780 grams to kg = 0.78 kg

New frequency = 0.60 Hz

To determine the value of the initial mass, m, we would apply the following formula:

;f=1/2л⟌k/m

Where:

F is the frequency.

m is the mass

k is the spring constant.

For mass (m):

0.83=1/2л⟌k/m    ...equation 1.

For additional mass:

0.60=1/2⟌k/m+0.78  ...equation 2.

Next, we would divide eqn. 1 by eqn. 2:

;0.83/0.60=1/2л⟌((k/m)/1)/2л⟌m+0.78

1.3833=⟌k/m/⟌k/m+0.78

Taking the square of both sides, we have:

1.9135=k/m/k/m+0.78

1.9135=k/m×m+0.78/k

1.9135=m+0.78/m

1.9135m-m=0.78

0.9135m=0.78

m=0.78/0.9135

m=0.8538kg

the value of mass is 0.8538.

to know more about mass visit.

https://brainly.com/question/15686038

#SPJ4

Between climbs, 100,000,000,000/1,000,000 equals 100,000 years. Our civilization is quite young compared to most or all of the others because it just emerged a few thousand years ago.

Turn-based strategy video games like Civilization have been around since 1991. Sid Meier created the first game in the series and contributed creatively to the majority of the others; as a result, the formal titles of these games, such Sid Meier's Civilization VI, typically include his name.

An sophisticated condition of human society with highly developed institutions of government, culture, industry, and shared social conventions is known as a civilization.

Between climbs, 100,000,000,000/1,000,000 equals 100,000 years. Our civilization is quite young compared to most or all of the others because it just emerged a few thousand years ago. Given these plausible hypotheses, it is likely that there are no other civilizations that are younger than 50,000 years old.

The complete question is :Time Between Civilizations. Suppose that there are 100 billion stars in the Milky Way Galaxy, that 1 in 1 million stars gets a civilization at some point, and that these civilizations have arisen at random times over the past 5 billion years. On average, how much time separates the rise of one civilization in the galaxy from the rise of the next? Based on your answer, should we expect to make radio contact with another civilization that is either at or below our own current level of technological development?

To learn more about civilization refer to :

https://brainly.com/question/13403112

#SPJ4

The velocity of both objetcs after the collision is 3.07m/sec if both object masses are 6.2 kg and 8.0kg respectively.

To find the velocity of both objects we need to conserve the momentum. We need to follow the law of conservation of momentum which states that initial momentum is equal to final momentum.

Now, we know that momentum =mass × velocity

So, initial momentum of first object=6.2×3=18.6Kg-m/sec

Similarly, initial momentum of second object=8×3.5=28.0kg-m/sec

Now, it is given that both object stick together, so total mass of both objects are=(6.2+8)=14.2kg

Now, both objects are moving with common velocity, so assume both have velocity v

=>So, final momentum of both objects is =14.2×v

according to law of conservation of momentum

=>18.6+25=14.2v

=>43.6=14.2v

=>v=43.6/14.2

=>v=3.07m/sec

Hence, final velocity of objects are 3.07m/sec.

To know more about velocity, visit here:

https://brainly.com/question/18084516

#SPJ4

The new gravitational force between the object will be 1/20.25 times of the original force.

The gravitational force between any two object is defined as the product of the masses of the object and it is inversely proportional to the square of the distance between them which is given by,

F = GMm/R²

Here,

G is the universal gravitational constant, M and m are the mass of the body and R is the distance between them.

As per the given question the distance between the object is increased 4.5 times the original separation.

R' = 4.5R.

The new force of attraction between the object will be,

F' = GMm/(R')²

F' = GMm/(4.5R)²

F' = GMm/20.25R²

F' = F/20.25

So, the new force of attraction between the two objects will become 1/20.25 times of original force.

To know more about gravitational force , visit,

https://brainly.com/question/24783651

#SPJ4

The dependent variable go on the Y-axis on a graph.

The dependent variable is described as the variable that is being measured or tested in an experiment.

Dependent variable can be explained using the example where a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.

The independent variable is found on the x-axis (horizontal line) of the graph and the dependent variable is displayed on the y-axis.

The difference between independent variable and the dependent variable is that in an experiment, the independent variable is the variable that is varied or manipulated by the researcher.

Learn more about  dependent variable at:

https://brainly.com/question/1670595

#SPJ1

Answer:

x = A cos ω t          at t = zero, x displacement equals amplitude

x = .088 m cos ω t             describes the motion

We need yet to find ω in terms of P which is given

ω = √(k / m)        

P = 1 / f      and f = ω / (2 π)

Thus ω = 2 π f = 2 π / P       since 1 / f = P

This gives us

x = .088 m cos 2 π / .66 * t    

The speed of the person as she enters the water is 14.2 m/s.

Kinetic energy is the energy of motion. It is the energy that an object has due to its motion. This energy can be transferred from one object to another or converted into other forms of energy. Kinetic energy is dependent on an object's mass and its velocity. The greater an object's mass or velocity, the more kinetic energy it has. Kinetic energy can be used to do work, such as powering a machine or vehicle. It can also be used to generate electricity or to heat up objects.

The speed of the person as she enters the water can be calculated using the equation for kinetic energy:
KE = ½mv²
Where m is the mass of the person (65 kg) and v is the speed.
Solving for v, we get:
v = √(2KE/m)
Since the potential energy of the person just before she enters the water is equal to the kinetic energy of the person just after she enters the water, we can calculate the kinetic energy as:
PE = mgh
KE = mgh
Where m is the mass of the person (65 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height of the platform (10 m).
Plugging this into the equation for v, we get:
v = √(2mgh/m)
v = √(2gh)
v = √(2*9.8*10)
v = 14.2 m/s

To learn more about kinetic energy
https://brainly.com/question/114210
#SPJ4

An object's centre of mass must be surrounded by an equal amount of mass on both sides. It is untrue.

The centre of mass of an item typically, but not always, sits within the thing itself. For instance, a ball's centre of mass is located in its exact centre, while a book's centre of mass is located in its middle.

When two objects of equivalent mass and speed approach one another, they stay together. After staying together, the two surfaces come to rest while retaining motion but losing kinetic energy. several of the energy of motion gets converted to thermal energy, or heat.

To know more about masses visit:

https://brainly.com/question/11622869

#SPJ4

The final temperature of the piece of iron with the mass of 9.8 grams on the absorption of 365J of energy is 113.56°C.

The specific heat capacity of a material can be defined as the quantity of heat energy (J) which is absorbed per unit mass (kg) of the material when its temperature is increased by 1 K (or 1 °C). The SI unit of specific heat capacity is J/(kg K) or J/(kg °C).

The specific heat capacity of a material can be calculated by the formula:

Q = m × c × ΔT

where, Q = heat energy,

m = mass of the material,

c = specific heat capacity,

ΔT = change in temperature

The final temperature of the piece of iron can be calculated by the formula:

Q = m × c × ΔT

ΔT = (Final temperature - initial temperature)

365J = 9.8 × 0.46 × ΔT

365J = 4.508 × ΔT

ΔT = 80.96

ΔT = Final temperature = initial temperature

ΔT = (T - 32.6)

80.96 = (T - 32.6)

T = 80.96 + 32.6

T = 113.56°C

Therefore, the final temperature of the piece of iron is 113.56°C.

Learn more about Specific heat here:

https://brainly.com/question/11297584

#SPJ1

To keep the car from slipping, the road and tires need to have a minimum coefficient of friction of 0.188.

The things creating friction will determine the coefficient of friction. The value is often between 0 and 1, but it can also be higher. A number of 0 indicates that there is absolutely no friction between the items; superfluidity makes this feasible. Yes. Because the adhesive forces between molecules are stronger when the contact surface is substantially polished, frictional force increases. In this situation, the friction coefficient will be higher than one.

Here m= 1402 kg

r=53

v= 9.9 m/s

g=9.8

coefficient = (v^2) / rg

coefficient = (9.9^2) / (53*9.8)

coefficient = 98.01/519.4

coefficient = 0.188

Learn more about friction Visit : brainly.com/question/24338873

#SPJ4

So let's talk about billiard balls and the law of conservation of momentum. For the purposes of this simplified discussion, momentum is always conserved for collisions between balls.

To learn more about velocity refer to:

https://brainly.com/question/25749514

#SPJ4

The velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.

To find the velocity of the water where the pipe is narrow, you can use the formula for the mass flow rate, which is given by:

Mass flow rate = Density * Flow rate

= Density * (Area * Velocity)

Where:

Density is the density of the fluid

Flow rate is the volume flow rate, or the rate at which volume flows through the pipe

Area is the cross-sectional area of the pipe

Velocity is the velocity of the fluid

The mass flow rate is constant, so you can set the mass flow rate on either side of the constriction equal to each other and solve for the velocity on the other side.

The cross-sectional area of the pipe on the narrow side is given by the formula for the area of a circle:

A = pi * r^2

Where:

A is the cross-sectional area of the pipe

r is the radius of the pipe

The radius of the pipe on the narrow side is 3 cm / 2 = 1.5 cm. Plugging this value into the formula for the cross-sectional area, you get:

A = pi * (1.5 cm)^2

= 7.07 cm^2

The cross-sectional area of the pipe on the wide side is given by the same formula, with a radius of 6 cm / 2 = 3 cm:

A = pi * (3 cm)^2

= 28.27 cm^2

Since the mass flow rate is constant, you can set the mass flow rates on either side of the constriction equal to each other and solve for the velocity on the other side:

(Density * 7.07 cm^2 * v) = (Density * 28.27 cm^2 * 8 m/s)

Solving for v, the velocity on the narrow side, you get:

v = (Density * 28.27 cm^2 * 8 m/s) / (Density * 7.07 cm^2)

= 11.6 m/s

The final value for the velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.

To learn more about mass flow rate refer :

https://brainly.com/question/13289839

#SPJ4

The pattern gets bigger as the light wave length gets longer. other maxima are further from the central one and are wider.

A wavelength is the distance between two identical locations (adjacent crests) in successive cycles in a waveform signals that is transmitted by a wire or in space. Typically, this length is expressed in feet (m), millimeters (cm), or millimeters (mm) in wireless systems (mm).

The distance that separates two wave crests is known as the wavelength, and it also applies to troughs. The number of vibrations that pass across a certain area in a second, or 60hz (Hz), is the unit of measurement for frequency (Hertz).

To know more about wavelengths  visit:

https://brainly.com/question/1852060

#SPJ4

If an X-ray camera uses X-rays with a wavelength of 4.04. the frequency of the x-rays is 36.9 PHz.

Compared to ultraviolet rays and gamma rays, X-rays have a wavelength of 0.01–10 nm, which corresponds to frequencies in the range of 3×10⁻¹⁶–3×10⁻¹⁹ Hz and energies in the range of 100 eV to 100 keV.

using, C=Lf,

Where C is the speed of light,

L stands for  wavelength

Given,

C= 8.13 nm = 8.13* 10-9 m

f=C/L

f= (3x108m/s) / (8.13^ 10-9 m)

f= 3.69 x1016Hz (10 PHz = 1016Hz)

hence frequency, f= 36.9 PHz

Know more about X-rays here: https://brainly.com/question/23281551

#SPJ4

Answer:

None of the choices you provided are correct. When a gas burns, it releases energy in the form of heat and light. Some of this energy is transferred to the pot of water, increasing its temperature, but some of the energy is also released as light. However, the rest of the energy is not transformed into chemical, electrical, or nuclear energy. Instead, it is lost to the environment in the form of waste heat. This is why gas stoves can become hot to the touch - they are releasing excess energy in the form of heat that is not being used to heat the pot of water.

Explanation:

The magnitude of Ernie's resultant velocity is    [tex]V=8.72m/s[/tex].

Velocity:

Velocity is the direction in which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time. In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

Given,

Ernie's swimming rate with respect to the river   [tex]V_{ER} =6.2 m/s[/tex]

River's current rate [tex]V_{R}=10.7 m/s[/tex]

Hence,

         The magnitude of Ernie's resultant velocity

                                               [tex]V[/tex] = [tex]V_{R} -V_{ER}=10.7i - 6.2j[/tex]

                                              [tex]V=\sqrt{(10.7)^{2}-(6.2)^{2} }[/tex]

                                              [tex]V=8.72m/s[/tex]

Hence,

           The magnitude of Ernie's resultant velocity is  [tex]V=8.72m/s[/tex].

Learn more about Velocity here

https://brainly.com/question/25749514

#SPJ4

The torque being applied by the mass of the minute hand itself is 3470.303N-m. if it has mass of 130kg.

In material science and mechanics, torque is a standard mechanical amount, what might be compared to direct force.[1] It is likewise alluded to as the snapshot of power (likewise shortened to second). It addresses the capacity of a power to deliver change in the rotational movement of the body. The idea began with the examinations by Archimedes of the use of switches, which is reflected in his well known expression: "Give me a switch and a spot to stand and I will move the Earth".  The law of preservation of energy can likewise be utilized to grasp force. The image for force is ordinarily , the lowercase Greek letter tau. While being alluded to as snapshot of power, it is normally signified by M.

Torque is given by the formula=r×F

or Torque=rFsinθ

Now,we have r=6meter,F=130 ˣ 9.8=1274N,θ=27°,sin27°=0.453

So,Torque=6 ˣ 1274ˣ0.453

=>Torque=3470.303N-m.

Hence,torque applied by the mass is 3470.303N-m.

To know more about Torque, visit here:

https://brainly.com/question/29024338

#SPJ4

(Complete question) is:

if the minute hand has a mass of 130 kg, what is the torque being applied by the mass of the minute hand itself?length of minute hand is 6 meters long,and angle made by minute hand is 27 degrees.

The deductible level that would result in the lowest premium for automobile insurance is from  $250 or $500

For those who anticipate needing expensive medical care or continuous medical treatment, a plan without a deductible typically offers good coverage and is a wise decision.

In most circumstances, a plan's premium will be lower the larger its deductible. You save money on what you pay each month when you're willing to pay more up front when you need care.

The typical range for a comprehensive deductible suggested by insurance agents is between $100 and $500. It makes sense to have a smaller deductible for comprehensive claims because they often involve less damage than collision claims.

High-deductible health plans typically have cheaper premiums but need greater upfront payments before insurance will cover medical expenses. Meanwhile, higher premiums are typically associated with health insurance plans with lower deductibles since they provide more predictable expenses and frequently more robust coverage.

Learn more about automobile insurance from

https://brainly.com/question/28397058
#SPJ1

Tension of the three cables connecting the  celling, 7 kg ball, 4 kg ball,  5 kg ball respectively 156.8 N,  88.2 N and 49 N.

The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

Tension of the cable connecting the  celling and 7 kg ball:

= (7 kg + 4 kg + 5Kg) × 9.8 m/s²

= 156.8 N.

Tension of the cable connecting the  7kg ball and 4 kg ball:

= (4 kg + 5Kg) × 9.8 m/s²

= 88.2 N.

Tension of the cable connecting the  4kg ball and 5 kg ball:

= 5Kg× 9.8 m/s²

= 49 N.

Learn more about tension here:

https://brainly.com/question/29124835

#SPJ1

During a game of bowling the ball's motion:

The correct options are A,B and E.

Bowling ball motion is commonly divided into sequential skid, hook, and roll phases. When the ball moves down the lane in the skid and hook phases, frictional contact with the lane causes the ball's forward (translational) speed to continually decrease, but to continually increase its revolution rate (rotational speed).

Learn more about bowling on

https://brainly.com/question/14775747

#SPJ1

Explanation:

If you dropped particles of different shapes from a boat into still water, they would fall straight down due to the force of gravity. The speed at which they fall would depend on their mass and the shape of the particles could affect how they move through the water, but ultimately they would all sink to the bottom of the water body. If the particles are buoyant, they may float instead of sinking.

Answer: See Explanation

Explanation:

Did the car travel at a constant speed?

This means "Is the speed at each interval the same?"

There are 10 intervals for which to calculate from.

For each one, the speed is the distance traveled divided by the time.

Each interval is 1 meter long (distance).

1st: 1 meter / 2.00 s = 0.5 m/s

2nd: 1 meter / (4.00 - 2.00) s = 0.5 m/s

3rd: 1 meter / (6.2 - 4.0) s = 0.454 m/s

Right here you can see that the speed is different, NO is the answer.

Average Speed = total distance divided by total time

v = d / t     v = (10 m) / (20:00 s) = 0.5 (m/s)

Describe the overall motion: (continue on with step one to see the total motion over the 10 meters)

4th: 0.552

5th: 0.472

6th: 0.5

7th: 0.5

8th: 0.4975

9th: 5.39

10th: 0.55

Overall motion stayed steady from 0-2 meters, slowed for the 3rd meter, sped up for the 4th, slowed down the 5th, stayed steady until slowing down in the 8th meter, then increased speed til the 10th meter.

Races would be practical applications to see where people/cars pace themselves, push themselves, etc.

It has been estimated that solar eclipses occur around three times more frequently than lunar eclipses. However, that statistic fully disregards penumbral lunar eclipses.

As a result, only a small portion of the Earth can observe solar eclipses, making it challenging to travel to a spot where one may be seen. They are therefore less frequently visible from any given position.

To know more about solar eclipses

https://brainly.com/question/315751

#SPJ4