Bending is a winter sport in which participants push a 15 kg rock across a horizontal snow patch. In 3.0 seconds, a bender accelerates a rock from rest to 4.0 m/s. What is the average power of the bender for accelerating the rock?

Answers

Answer 1
We can use the formula for average power:

P = W / t

where W is the work done and t is the time taken. The work done can be calculated using the formula:

W = (1/2) * m * v^2

where m is the mass of the rock and v is its final velocity. Substituting the given values:

W = (1/2) * 15 kg * (4.0 m/s)^2 = 120 J

Substituting the given value of time:

t = 3.0 s

Now we can calculate the average power:

P = W / t = 120 J / 3.0 s = 40 W

Therefore, the average power of the bender for accelerating the rock is 40 watts.

Related Questions

In the figure the current in resistance 6 is i_{6} = 1.41A and the resistances are R_{1} = R_{2} = R_{3} = 2.34f , R_{4} = 17.2 Q, R_{5} = 7.55Omega and R_{6} = 4 Q. What is the emf of the ideal battery?

Answers

The emf of the ideal battery is 50.57 volts.

∵ The resistors R5 and R6 are in series,

∴ Current through R5 = Current through R6 = 1.41 A

Now, voltage across R4 resistor = voltage across R5 and R6

                                                     = 1.41 × (7.55 + 4.44)     {as V=IR}

                                                     = 16.9 v

Now current through R4 resistor = V/R

                                                      = 16.9/17.2

                                                      = 0.982 A

Using Kirchoff's Current law,

Current in R2 = Current in R4 + current in R5, R6 branch.

                      = 0.982 + 1.41

                      = 2.392 A

Using Kirchoff's voltage law, in the loop containing resistances R2, R3, and R4,

I×2.34 - 2.392×2.34 - 0.982 × 17.2 = 0,

where "I" is the current across R3.

⇒ I = 9.61 A

Again, using Kirchoff's current law,

Current through R1 = Current through R2 + current through R3

                                = 9.61 + 2.392

                                = 12.002 A

Now calculating the resistance across the battery,

R5 and R6 are in series,

∴ their equivalent Req1 = R5 + R6 = 7.55 + 4.44

                                               = 11.99

Req1 and R4 are in parallel,

∴ Their equivalent Req2 = 11.99 × 17.2/(11.99+17.2)

                                         = 7.06

Again, R2 and Req2 are in series,

so, their equivalent Req3 = 7.06 + 2.34

                                          = 9.4

Req3 and R3 are in parallel,

So, their equivalent, Req4 = 2.34 × 9.4/(2.34+9.4)

                                            = 1.87

R1 and Req4 are in series

So, their equivalent = 2.34+1.87 = 4.21

So, the resistance across the battery = 4.21 ohms

But current across battery = current across R1(series) = 12.002 A

∴ EMF across battery = IR = 12.002 × 4.21 = 50.57 v

Hence, the emf of the ideal battery is 50.57 volts.

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In which stage is the individual willing to modify their behavior and their
environment to overcome the problem, as they are ready to change and take
the proper steps to make change happen?
OA. Maintenance
OB. Precontemplation
C. Action
D. Contemplation
SUBMIT

Answers

In C. Action stage is the individual willing to modify their behavior and environment to overcome problem, as they are ready to change and take proper steps to make change happen

Five phases of behaviour modification are identified as per phases of modification model. Precontemplation, Contemplation, Preparation, Action, and Maintenance are the phases. The person has made a commitment to change and is actively making changes to their surroundings and behaviour to address the issue in the Action stage.

In this mode, people have a strategy in place, and are generally moving in the right direction. Since it involves making significant changes to behaviour, attitudes, and lifestyle, the action stage is the most labor-intensive. In addition to having the tools and assistance they require for success, the person must be motivated and dedicated to making the change.

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2. A bus travels 280 km south along a straight path with an average velocity of 88 km/h to the south. The bus stops for 24 min. Then, it travels 210 km south with an average velocity of 75 km/h to the south. a. How long does the total trip last? b. What is the average velocity for the total trip?​

Answers

Answer:76.78 km/h To calculate the average velocity for the total trip, you need to first determine the total distance travelled and the total time taken. First, let's calculate the total distance travelled. The trip consists of 2 legs. The 1st leg is 280 km and the 2nd leg is 210 km. So the total distance is 280 km + 210 km = 490 km. Now you need to calculate the total time taken. For this problem, there are 3 intervals that need to be accounted for. The travel time for the 1st leg, the duration of the rest stop in the middle, and the travel time for the 2nd leg. The travel time for both legs is calculated by dividing the distance travelled by the average speed. So for the first leg we have 280 km / (88 km / h) = 3.181818 h The 2nd leg is 210 km / (75 km/h) = 2.8 h The rest stop in hours is 24 min / (60 min/h) = 0.4 h The total time is 3.181818 h + 2.8 h + 0.4 h = 6.381818 h The average velocity is the distance divided by the time, giving: 490 km / (6.381818 h) = 76.78 km/h

Explanation: I am middle school genius  and I spell diff bc I am british-english

Which of the following is most likely the caption for the illustration that was scratched out of the textbook?

A. An electrically-charged object can attract an uncharged object with magnetic properties.

B. An electrically-charged object is stronger than a magnet.

C. A dry cell battery has magnetic properties.

D. An electric circuit can only have one dry cell battery.

IMAGE DOWN BELOW OR UP

Answers

The correct statement is " A dry cell battery has magnetic properties.", The correct option is C.

A dry cell battery does generate its own magnetic field due to the flow of electric current through the battery.

The magnetic field is created by the movement of charged particles (electrons) within the battery. This magnetic field is relatively weak and is not typically strong enough to be used for practical applications outside of the battery itself.

So, the magnetic properties of the dry cell battery are important for understanding its behavior within an electrical circuit.

Therefore, The correct answer is option C.

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A 7 ton utility truck comes over a blind hill and cannot stop when he sees an obsticle in the road. He travels to the left of the road across 127 feet of dry, grassy ditch, 75 feet of dry pavement, and 81 feet of deep clay. He hits a tree on his right hand bumper at 227 feet, totalling his truck, and then continues to travel an additional 57 feet through brush, and pulverizing a steel and metal mesh fence.

How fast was the truck traveling?

Answers

Answer:

80 mph using speed = mass / distance

Explanation:

truck traveled = 227 feet + 57 feet

truck traveled =  284 feet

truck weighs 7 tons

truck weighs 15,422 pounds

formula to calculate the speed of the truck =

speed = mass / distance

mass is 15,422 pounds

distance is 284 feet

speed = 15,422 pounds / 284 feet

speed = 54.1 feet per second

convert feet per second to miles per hour by multiplying by 1.4667.

speed = 54.1 feet per second * 1.4667

speed = 80.0 miles per hour




Complete the ray diagram below:

A convex lens is shown centered at 7 on a ruler that goes from 0 to 14 centimeters. The object is located at 4.5, and the focal points are at 5.5 and 8.5.


Describe the image characteristics (real or virtual, orientation, size).
Submit your completed ray tracing diagram as an image attachment to this question. Ensure your name and today's date are visible in the image capture.

Answers

The image will be formed where the refracted rays intersect. In this case, the image is located above the principal axis and is therefore a virtual image. The image is also upright and smaller than the object.

The principal axis is an imaginary line passing through the center of a lens or a mirror that is perpendicular to the surface of the lens or mirror at its center. It is an important reference line in optics as it helps determine the direction in which light rays will be refracted or reflected by the lens or mirror. The principal axis is used as a reference line for constructing ray diagrams and for determining the position and characteristics of images formed by lenses or mirrors.

To complete the ray tracing diagram, follow these steps:

1. Draw a horizontal line to represent the principal axis of the lens.

2. Mark the center of the lens at 7 on the ruler.

3. Draw a vertical line to represent the object at 4.5, below the principal axis.

4. Draw a ray from the top of the object parallel to the principal axis. When it hits the lens, refract it through the focal point on the opposite side of the lens.

5. Draw a ray from the top of the object through the focal point on the left side of the lens. When it hits the lens, refract it parallel to the principal axis.

6. Draw a ray from the top of the object through the center of the lens. This ray will continue in a straight line.

7. Repeat steps 4-6 for the bottom of the object.

Therefore, the image will be created where the refracted rays intersect. Since the image in this instance is above the principal axis, it is a virtual image. Additionally upright and smaller than the object, the image.

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Calculate the average time for the tablet pieces to dissolve in room temperature water. Record the average time in Table D. Trial 141.00Trial 244.00Trial 341.00 What is the average time it took for the tablet pieces to dissolve in room temperature water? seconds

Answers

The average time it took for the tablet pieces to dissolve in room-temperature water is 42.00 seconds.

Room temperature refers to the typical temperature range that is comfortable for humans in an indoor environment. It is generally considered to be between 68°F (20°C) and 77°F (25°C). However, the exact definition of room temperature can vary depending on the context and the standards of a particular region or industry. In scientific experiments or industrial settings, room temperature may be defined more precisely and may range from 20°C to 25°C, or even narrower ranges such as 22°C to 24°C.

To calculate the average time it took for the tablet pieces to dissolve in room temperature water, we need to add up the times from all three trials and divide by the number of trials (3):

(41.00 + 44.00 + 41.00) / 3 = 42.00 seconds

Therefore, the average time it took for the tablet pieces to dissolve in room-temperature water is 42.00 seconds.

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A/An breaks down a complicated goal into daily action to make it more manageable?​

Answers

A routine breaks down a complicated goal into daily action to make it more manageable.

What is a routine?

A routine can be described as the sequence of actions regularly followed which do help individuals as well as the organization so they can acheive their goals.

It should be noted that a routine is neccessary in an organization because it will help help them to breakdown the task as well as the activities and this will help to achive the goals as well as the neccessary things on time because allcomplicated goals woud have been included as well as how it will be carried out.

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You are pushing your old dishwasher of mass 35.0 kg up the ramp into the truck bed. You are applying a force of 225 N along the ramp which is inclined at 22.0 degrees. There is a frictional force of 45.0 N between the ramp and the dishwasher. can you please help with b?​

Answers

The acceleration of the dish washer is obtained as 5.1 m/s^2.

What is a free body diagram?

A free body diagram is a type of image that physicists use to illustrate the forces operating on an item in a certain circumstance.

By dissecting the motion of the object into its component forces and displaying the direction and amount of each force acting on the object, the diagram may be used to study the motion of the object.

We know that;

Net force =Applied force - Frictional force

35a = 225 - 45

a = 225 - 45/35

a = 5.1 m/s^2

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1. Which type of subatomic particle is not found in the nucleus?(1 point)

a. proton
b. quark
c. electron
d. neutron

Answers

Answer:

(c) electron - they are found in the outer "shells" of atoms

An object has a mass of 25 kilograms: to. How much is the potential energy if the height is 30 m. b. How much is the kinetic energy at a height of 30 m. If the object is in repose?​

Answers

The potential energy of the object is 7,350 J.

The kinetic energy is zero.

What is the potential energy of the object?

The potential energy of an object at the given position is calculated by applying the following formula.

P,.E = mgh

Where;

g  is the acceleration due to gravityh is height m is mass

P.E = 25 x 9.8 x 30

P.E  = 7,350 J

If the object is at rest (not moving), then its kinetic energy is zero, sice kinetic energy of a nergy of a body in motion.

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What two things can be considered to be substances?

Answers

Answer:Classification of Matter According To Composition

When you think about classifying matter, you likely think of the three states of matter: solid, liquid, and gas. But, thinking back to the donut metaphor, we can also classify matter according to what it is made of (aka its chemical composition)! So, what makes up matter? Well, on a molecular level, all matter is made up of atoms that can form elements, compounds, and molecules! Even with all these different components, matter can be split into two broad categories based on its composition: pure substances and mixtures. We will spend most of our time on pure substances, but briefly cover mixtures! So, let’s dive into pure substances!

We will go into more detail on all the components of matter, but for a more thorough review, check out Atomic Structure!

Definition of Pure Substances

A simple way to think about pure substances is as something that is made up of only one type of matter that always has the same properties, such as melting point, boiling point, density, etc.

Pure substances are matter that has a fixed chemical composition and properties that do not change.

Can you guess what are pure substances in your day-to-day life? I bet you may have salt (NaCl) and tin cans (Sn) in your pantry! These are perfect examples of pure substances because salt is made up of purely NaCl molecules, and tin is made up of only tin atoms.

But wait, you may have noticed a difference between salt and tin and asked how exactly salt is only made up of one type of matter when it’s two different atoms bonded together?

Pure substances can be further divided into two classes: elements and compounds.

Pure Substance Examples

We are going to spend some time looking at elements and compounds separately and some common examples of each!

Elements

If you think elements sound familiar, you are correctly thinking of the 118 organized in the periodic table. Tin is an example of an element!

Explanation:

Question 1 1 point possible (graded) In a laboratory, scientists often study neurons in isola living creature, in a dish. In this setting, one can have control over the local ionic environment in which the c we can control the makeup of the solution - the 'medi This situation is a bit like replacing the extracellular flu normally be bathed in with some other fluid. There are a variety of different kinds of media that sci different purposes. Let's consider a few standard one Dulbecco's Modified Eagle's Medium (DMEM) and de The table below lists the ionic concentrations for thes intracellular column lists the concentrations inside a p concentrations below are in mm (millimolar). lon K+ Na+ CI- Ca²+ 87 mV -87 mV -25 mV 25 mV Intracellular -60 mV 140 10 12 0.0001 DMEM 5.3 154 119 1.8 "de me Based on this chart, what is the Nernst potential for K bathed in DMEM at 37°C? 55 105 119 1.8​

Answers

Nernst potential for K+ ions bathed in DMEM at 37°C is  55 mV. The correct option is A.

The Nernst potential for K+ ions bathed in DMEM at 37°C is a measure of the equilibrium potential for K+ ions across a cell membrane in a solution of DMEM. It is calculated using the Nernst equation, which takes into account the concentration gradient of K+ ions across the membrane, as well as the valence of K+ ions and the temperature of the solution.

The Nernst potential for an ion at a given temperature is calculated using the Nernst equation:

E = (RT/zF) * ln([ion]out/[ion]in)

Where:

E is the Nernst potential (in mV)

R is the gas constant (8.314 J/K/mol)

T is the temperature (in Kelvin)

z is the valence of the ion

F is the Faraday constant (96,485 C/mol)

[ion]out is the concentration of the ion outside the cell (in mM)

[ion]in is the concentration of the ion inside the cell (in mM)

ln is the natural logarithm function

Using the values from the table given in the question, we can calculate the Nernst potential for K+ ions bathed in DMEM at 37°C:

Plugging in the values for K in DMEM:

E = (RT/zF) * ln([K+]out/[K+]in)

E = (8.314 * 310.15)/(1 * 96485) * ln(5.3/140)
E≈ 0.055 V

E ≈ 55 mV

Therefore, The correct option is A.

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Which statement describes a limitation of scientific models?

O they require no future improvement

O they can predict what will occur next

O they can be shown on maps, graphs and other displays

O they are simplified versions of the systems they represent

Answers

Answer:

"They are simplified versions of the systems they represent."

Explanation:

A limitation of scientific models is that they are simplified versions of the systems they represent. This means that there may be some aspects of the real world that the model cannot accurately capture or predict, which can limit its usefulness. Additionally, models can always be improved upon as new data or technology becomes available, so they are never perfect or final.

What is the primary difference between outlaw motorcycle gangs and social motorcycle groups?
O A.
OB.
O C.
O D.
being a structured group with roles
having a group leader
their group activities and behavior
having group rules

Answers

Answer:

The primary difference between outlaw motorcycle gangs and social motorcycle groups is their group activities and behavior. Outlaw motorcycle gangs are typically involved in criminal activities, such as drug trafficking, extortion, and violence. They often have a hierarchical structure and strict rules for membership and behavior. In contrast, social motorcycle groups are primarily focused on riding motorcycles and socializing with other riders. They do not engage in criminal activities and do not have a strict hierarchy or rules for membership. While both types of groups may have some level of structure, such as having a group leader or group rules, the main difference lies in their group activities and behavior.

How do i solve E=MC^2

Answers

Answer:

Calculating E = mc^2 for any object tells you how much energy would result if the entire object disappeared. Weigh the object you will perform the calculation for with a mass balance scale. Record its mass. Convert the mass to kg, if necessary. To convert from g to kg, for example, divide by 1,000. Square the speed of light.

Explanation:

A2 kg iron sphere is heated to 130 °C. It is then dropped into a bath of 4 kg of water at 25 °C.

Specific heat of iron-0.444 kJ/kg C
Specific heat of water-4.186 kJ/kg"C
Calculate the final temperature of the iron-water system in degrees Celsius. Round your answer to one decimal place.

Answers

A2 kg iron sphere is heated to 130 °C. It is then dropped into a bath of 4 kg of water at 25 °C then ,the final temperature of the iron-water system is 30.3°C.

First, let's calculate the heat transferred from the iron sphere to the water

Heat lost by iron sphere = m * c * ΔT

Where m is the mass, c is the specific heat, and ΔT is the change in temperature.

Heat lost by iron sphere = 2 kg * 0.444 kJ/kg°C * (130°C - T)

Heat gained by water = m * c * ΔT

Where m is the mass, c is the specific heat, and ΔT is the change in temperature.

Heat gained by water = 4 kg * 4.186 kJ/kg°C * (T - 25°C)

Since heat is conserved, we can equate the two equations

2 kg * 0.444 kJ/kg°C * (130°C - T) = 4 kg * 4.186 kJ/kg°C * (T - 25°C)

Solving for T

2 * 0.444 * (130 - T) = 4 * 4.186 * (T - 25)

0.888 * (130 - T) = 16.64 * (T - 25)

115.44 - 0.888T = 16.64T - 416

17.528T = 531.44

T = 30.32°C

Therefore, the final temperature of the iron-water system is 30.3°C.

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1. Single Choice
The higher the frequency of a wave, ( )
A:The smaller its speed
B:The shorter its wavelength
C:The greater its amplitude
D:The larger its period

Answers

B:The shorter its wavelength.
The answer is B shorter is wavelength

. Describe the five adjustments you made to the Rube Goldberg device in order to keep the flow of energy going.

Answers

The five changes I made to the Rube Goldberg apparatus to keep the energy flowing is 1) Reduced the height of the first ball platform 2) Attached the weight that has to be lifted. 3) The sling shot was attached to the pin. 4) Took a shot, I lowered the seesaw gadget. 5) A water-filled balloon. this is basically a machine.

A Rube Goldberg machine, named after American cartoonist Rube Goldberg, is a machine or device that is purposely constructed to do a basic task in an indirect and (impractically) too convoluted manner. Typically, these machines are made up of a sequence of basic unconnected devices; the action of one initiates the next, finally culminating in the achievement of a specified purpose. A similar device is known as a "Heath Robinson contraption" in the United Kingdom, after the cartoonist W. Heath Robinson.

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PLEASE HELP!


The figure shows wire 1 in cross section; the wire is long and straight, carries a current of 4.20 mA out of the page, and is at distance d₁ = 2.58 cm from a surface. Wire 2. which is parallel to wire 1 and also long, is at horizontal distance d-5.05 cm from wire 1 and carries a current of 6.88 mA into the page. What is the x component of the magnetic force per unit length on wire 2 due to wire 1?

Answers

Answer: I think The correct Answer is 41.5pN/m

The highness or lowness of a sound is perceived as
a.
compression.
c.
ultrasound.
b.
wavelength.
d.
pitch.

Answers

Answer:

i think its D

Explanation:

Answer:

The highness or lowness of a sound is perceived as pitch. Pitch is a perceptual property of sound that allows us to distinguish between sounds that have the same loudness and duration, but differ in their frequency content. The pitch of a sound is determined by the frequency of the sound wave, with higher frequencies producing higher pitches and lower frequencies producing lower pitches. The pitch is what makes a sound distinguishable and is important in music, language, and communication.

Two balloons with charges of 8.37 µC and unknown one repel each other with a force of 0.5 Newton in the distance of 30mm. Determine the unknown charge.

Answers

The electrostatic force between two charged objects is given by Coulomb's law:

F = k * (q1 * q2) / r^2

where F is the force, k is Coulomb's constant (9 x 10^9 N*m^2/C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.

In this case, we have two balloons with charges of 8.37 µC and q2 (unknown), separated by a distance of 30 mm, and experiencing a repulsive force of 0.5 N.

We can plug in the given values and solve for q2:

0.5 N = (9 x 10^9 N*m^2/C^2) * (8.37 µC * q2) / (0.03 m)^2

Simplifying:

q2 = (0.5 N * 0.03 m^2) / (9 x 10^9 N*m^2/C^2 * 8.37 µC)

q2 = 2.05 µC

Therefore, the unknown charge is 2.05 µC.

Drag the answer in order from most potential energy (at the top) to least potential energy (at the bottom).
Source:
Position D on the roller coaster
A person standing on the ground
Position A on the roller coaster
B
A person in an airplane in the sky
A
Target

Answers

A person in an airplane in the sky has the greatest potential energy, while a person standing on the ground has the least potential energy.

What is gravitational potential energy?

Gravitational potential energy is the energy that an object possesses due to its position above the ground.

Mathematically, the formula for gravitational potential energy is given as;

PE = mgh

Where;

m is the mass of the objectg is the acceleration due to gravityh is the height of the object

The greater the height or distance of an object above the ground, the greater the gravitational potential energy.

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Question 1
2. Can 120 g of KNO3 (potassium nitrate) dissolve in 100 mL of water at 60°C?
Provide evidence from the graph to support your answer.
Edit View Format Table
12pt
Paragraph
BI U A
✓ T²V
4
1 pts
PAR

Answers

We can now see that 120 g of KNO3 (potassium nitrate) can not dissolve in 100 mL of water at 60°C.

What is the solubility?

Solubility is the ability of a substance, called the solute, to dissolve in a solvent to form a hom--ogeneous mixture called a solution.

The saturated solution of potassium nitrate will hold about 110 g of dissolved salt per 100 mL of water at 60∘C . Thus we can say that the solubility of the KNO3 at 60°C is 110g of the salt per  100 g of water.

Solubility is an important concept in chemistry and is used in various applications such as in the preparation of solutions.

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One long wire lies along an x axis and carries a current of 36 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0,5.8 m, 0), and carries a current of 73 A in the positive z direction. What is the magnitude of the resulting magnetic field at the point (0, 2.0 m, 0)?

Answers

The magnetic field at the point (0, 2.0 m, 0) due to the two long wires is 6.8 x 10⁻⁶T (tesla) in the positive y direction.

To find the magnetic field at the given point, we can use the Biot-Savart law, which gives the magnetic field produced by a current-carrying wire at a point in space. For the wire along the x-axis, the magnetic field at the point (0, 2.0 m, 0) is zero, since the wire is parallel to the y-axis and there is no component of the magnetic field along the y-axis.

For the wire perpendicular to the xy-plane, the magnetic field at the point (0, 2.0 m, 0) can be found using the Biot-Savart law as follows:

dB = (μ0 / 4π) * (I / r²) * dl x r

where dB is the magnetic field produced by a small length element of the wire, I is the current in the wire, r is the distance from the length element to the point where the magnetic field is being calculated, and dl x r is the vector cross product of the length element and the distance vector.

Integrating over the entire length of the wire, we can find the total magnetic field at the point (0, 2.0 m, 0). Using vector addition, we can find the magnitude and direction of the resulting magnetic field. Finally, we can substitute the given values into the equation to obtain the answer of 6.8 x 10⁻⁶ T in the positive y direction.

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Determine the stopping location of the prize wheel. At this moment it is centered on the number 31. It is spinning at a rate of 27.50 rpm. It is slowing at a rate of 0.110 rad/s/s. quantity of spaces is 36.

Predict the time the wheel will remain spinning, the angular displacement it will go through, and then use this to predict the number on which the wheel will stop. To be safe, you will also get one number the right and to the left of the number you chose.
The wheel will spin clockwise.

30 pts

Answers

Since the wheel stops between 32 and 33, we can predict that the wheel will stop on either 32 or 33. As a safe bet, we can choose the two numbers on either side of these, so the predicted numbers are 31, 32, and 33.

A prize wheel is a wheel-shaped device used for games and promotions, where participants spin the wheel to win a prize or determine an outcome. The wheel is typically divided into sections, each with a different prize or outcome.

To determine the stopping location of the prize wheel, we need to consider the following:

The initial angular velocity of the wheel is 27.50 rpm, or 2.88 rad/s.

The angular acceleration of the wheel is -0.110 rad/s^2 (negative because the wheel is slowing down).

The number of spaces on the wheel is 36, so the angular displacement for each space is 2*pi/36 = pi/18 radians.

Using these values, we can use the following equations of motion to determine the time it takes for the wheel to stop and the angular displacement it goes through:

1. Angular displacement:

theta = theta_0 + omega_0*t + (1/2)alphat^2

where

theta_0 = 31*(pi/18) (initial angular position of the wheel)

omega_0 = 2.88 rad/s (initial angular velocity of the wheel)

alpha = -0.110 rad/s^2 (angular acceleration of the wheel)

t = time

Plugging in the values, we get:

theta = (31*pi/18) + (2.88)*t - (0.055)*t^2

2. Time is taken for the wheel to stop:

omega = omega_0 + alpha*t

where

omega_0 = 2.88 rad/s (initial angular velocity of the wheel)

alpha = -0.110 rad/s^2 (angular acceleration of the wheel)

t = time

Setting omega to zero (since the wheel stops when it reaches zero angular velocity), we get:

t = -omega_0/alpha

Plugging in the values, we get:

t = 26.18 seconds

So it takes 26.18 seconds for the wheel to stop.

Using the equation for angular displacement, we can find the angular displacement of the wheel during this time:

theta = (31pi/18) + (2.88)(26.18) - (0.055)*(26.18)^2

theta = 89.36 radians

To find the number on which the wheel will stop, we need to divide the angular displacement by the angular displacement for each space:

number of spaces = theta/(pi/18)

number of spaces = 32.4

Therefore, We may anticipate that the wheel will stop on either 32 or 33 because it pauses between 32 and 33. The projected numbers are 31, 32, and 33 since we can choose the two numbers on either side of these as a safe bet.

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Given the equation X=10m+(5m/s^2) t^2, find the change in positiin at t1=1s, t2=2s

Answers

To find the change in position between t1=1s and t2=2s, we need to calculate the displacement (change in position) caused by acceleration between these two times.

First, we can find the position at t1=1s:

X1 = 10m + (5m/s^2) (1s)^2 = 15m

Next, we can find the position at t2=2s:

X2 = 10m + (5m/s^2) (2s)^2 = 30m

The change in position between t1 and t2 is simply the difference between X2 and X1:

ΔX = X2 - X1 = 30m - 15m = 15m

Therefore, the change in position between t1=1s and t2=2s is 15 meters.

You are pushing a 30-kg wooden crate across the floor. The force of sliding friction on the crate is 90 N. How much force must you exert on the crate to keep it moving with a constant velocity.

Answers

To keep the crate moving with a constant velocity, the force you need to exert on it is the force of kinetic friction, which in this case is 90 N. This is the minimum force required to overcome the force of sliding friction and maintain a constant velocity.

When an object is moving across a surface, there is a force of friction that opposes its motion. This is known as the force of kinetic friction. In the case of the wooden crate being pushed across the floor, the force of sliding friction is 90 N.

In order to keep the crate moving at a constant velocity, the force being applied to it must be equal and opposite to the force of sliding friction. This is because if the applied force is less than the force of sliding friction, the crate will slow down and eventually come to a stop. If the applied force is greater than the force of sliding friction, the crate will accelerate.

The force you need to exert on the crate is:

Force = Force of kinetic friction = 90 N

Note that the mass of the crate is not needed to calculate the force you need to exert, only the force of sliding friction acting on it.

Therefore, the force you must apply to the crate in order to maintain its constant velocity is the force of kinetic friction, which in this instance is 90 N. This is the bare minimum force necessary to overcome sliding friction and preserve constant speed.

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The specific heat values for solid gold and solid iron are listed below:
J/8°C
gold

= 0.129

J/8°C

iron

= 0.449

If a 10g sample of gold and a 10g sample of iron were exposed to the same heat source for 1 minute, which sample would have a higher final
temperature? Why?
O The gold sample contains fewer atoms, therefore its final temperature is higher
O The gold sample contains fewer atoms, therefore its final temperature is lower
O The gold sample contains more atoms, therefore its final temperature is higher
O The gold sample contains more atoms, therefore its final temperature is lower

Answers

The gold sample contains fewer atoms, therefore its final temperature is higher

Does iron have a higher specific heat capacity than gold?

The specific heat capacity of a substance is defined as the amount of heat energy required to raise the temperature of one gram of the substance by one degree Celsius.

The specific heat capacity of gold is 0.129 J/g°C, while the specific heat capacity of iron is 0.449 J/g°C. This means that it takes less heat energy to raise the temperature of one gram of iron by one degree Celsius compared to gold . Therefore, iron can absorb more heat energy before it reaches the same temperature as gold .

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A work done of 25 J happen to a charge that is 8.33 μC. Calculate the voltage.

Answers

The voltage can be calculated using the formula:

V = W/Q

where V is the voltage in volts (V), W is the work done in joules (J), and Q is the charge in coulombs (C).

In this case, W = 25 J and Q = 8.33 μC = 8.33 x 10^-6 C.

Substituting these values into the formula, we get:

V = 25 J / 8.33 x 10^-6 C

V = 3,000,000 V

Therefore, the voltage is 3,000,000 volts (or 3 MV).
Answer:

V = 3,000,000 volts

Explanation:

We can use the formula:

V = W / Q

Where V is the voltage in volts (V), W is the work done in joules (J), and Q is the charge in coulombs (C).

Substituting the given values, we get:

V = 25 J / 8.33 μC

Converting the charge to coulombs by dividing it by 10^-6, we get:

V = 25 J / 8.33 x 10^-6 C
V = 3,000,000 volts (or 3 MV)

Therefore, the voltage is 3,000,000 volts (or 3 MV).
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