A cannonball is launched diagonally with an initial horizontal speed of 51.0m/s
and an initial vertical speed of 24.0m/s. Label the hypotenuse, opposite side and
adjacent side, and determine all unknowns.
m/s
initial speed:
initial horizontal speed:
initial vertical speed:
m/s
m/s
At what angle () was the cannonball launched?

Answers

Answer 1

• initial horizontal speed: 51.0 m/s

• initial vertical speed: 24.0 m/s

• initial speed: √((51.0 m/s)² + (24.0 m/s)²) ≈ 56.4 m/s

• angle: tan(θ) = (24.0 m/s) / (51.0 m/s)   →   θ ≈ 25.2º

Answer 2

Using Pythagoras, the initial speed and the launch angle of the cannon ball are 56.36 m/s and 25.20° respectively.

The initial speed can be obtained using length of the diagonal :

v² = 51² + 24²

v² = 2025

v = √3177

v = 56.36 m/s

The launch angle, θ :

Tanθ = opposite / Adjacent

θ = tan¯¹(24/51)

θ = tan¯¹(0.4705)

θ = 25.20°

Hence, the angle of launch is 25.20°

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Related Questions

Convert 25miles/hour to kilometers/hour. Show your work

Answers

Using the conversion factor that we have seen in the solution, the value obtained is 40.25 kilometers per hours

How do you convert miles/hour to kilometers per hour?

To convert miles per hour (mph) to kilometers per hour (kph), you need to multiply the speed value in mph by a conversion factor of 1.61, which is the number of kilometers in one mile.

Given that;

1 miles/hour = 1.61 kilometer per hour

25 miles per hour = 25 * 1.61/1

= 40.25 kilometers per hours

Hence the value that we get is 40.25 kilometers per hours

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The convert unit of  25 miles per hour is equivalent to 40.2335 kilometers per hour

Convert units calculation.

Unit conversion is the process of converting a value expressed in one unit of measurement to another unit of measurement that is equivalent in terms of its value or quantity. This is done by using a conversion factor, which is a numerical factor that relates the two units of measurement.

To convert miles per hour (mph) to kilometers per hour (km/h), we need to multiply the speed in mph by 1.60934, which is the conversion factor from miles to kilometers.

So, to convert 25 mph to km/h:

25 mph × 1.60934 = 40.2335 km/h

Therefore, 25 miles per hour is equivalent to 40.2335 kilometers per hour.

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I’n a miracle of modern physics a 20.0-kg frictionless…

In a miracle of modern physics a 20.0-kg frictionless

Answers

The acceleration of the lawn mower is  1.25 m/s².

The velocity of the lawn mower at the given time is 6.25 m/s.

What is the acceleration of the lawn mower?

The acceleration of the lawn mower is calculated by applying Newton's second law of motion as shown below.

Fx = ma

where;

Fx is the horizontal component of the forcem is the mass of the lawn mowera is the acceleration of the lawn mower

F cosθ = ma

where;

θ is the inclination of the force.

a = ( F cosθ ) / m

a = ( 50 N  x  cos60 ) / 20 kg

a = 1.25 m/s²

The velocity of the lawn mower at the given time is calculated as;

v = at

v = 1.25 m/s²  x 5 s

v = 6.25 m/s

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In a miracle of modern physics a 20.0-kg frictionless

Pleas help with question 25

Pleas help with question 25

Answers

Answer:

the answer is a....,.......

should Delia have tried to help Sykes at the end of the story or is she justified in letting nature take its course? Is Delia a bad person?

Also is anyone single i am and live in Sc and wouldn't mind be taken
I'd like to be a lucky guy like others are
i know this isn't a dating app but i don't have a phone sadly

Answers

Answer:

this is a website for kids to get help on homework not date

Which two options describe physical properties of matter?

A: weather a substance forms from a patina

B: whether a substance is acidic or basic

C: The color of the light that is reflected of a substance’s surface

D: The amount of mass per unit volume

F: how easily a substance reacts with other substances

Answers

Answer:

C: The color of the light that is reflected off a substance's surface

D: The amount of mass per unit volume

Explanation:

just took this!

Options C and D are correct.

C: The color of the light that is reflected on a substance’s surface

D: The amount of mass per unit volume.

What is the matter?

Physical and chemical features can be used to classify matter. The matter is defined as something that occupies space and has mass. Solid, liquid, and gaseous are the three states of matter.

C: The color of the light that is reflected on a substance’s surface

If the light is completely absorbed, the thing appears black; if the light is completely reflected, the object appears white. The wavelengths of light that a material absorbs determine its color.

Hence it is an important property of matter.

D: The amount of mass per unit volume.

Density is defined as the mass per unit volume.it is denoted by ρ. It is the most important parameter to define the property of a matter.

Density shows the compactness of matter. it is calculated per unit volume. The density is used to find the space for the material that has to be filled.

Due to the above reasons options, C and D are correct.

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how atoms are in one mole of patassuim

Answers

Answer:

There are 6.022 × 10²³ atoms of potassium in every mole of potassium.

A person throws a pumpkin at a horizontal speed of 4.0 m/s off a cliff. The pumpkin travels 9.5m horizontally before it hits the ground.

Answers

Answer:

The pumpkin's vertical displacement  is H=27.76m

The pumpkin's vertical velocity when it hits the ground is v=23.32m/s

Explanation:

x=v*t

9.5=4*t

t=2.38s

H=vi(t)+1/2at^2

H=1/2at^2

H=1/2(9.8)(2.38)^2=27.76

vf=vi+at

vf=2.38(9.8)

vf=23.32m/s

             

           

A thin half ring with a radius of R = 10 cm is uniformly charged with a linear density of = 1 Mikrokulon/m and located in a vacuum. Determine the force F of interaction between the half ring and a point charge q = 20 nC located at the center of curvature. (don't use chatgpt please)

Answers

Answer:

Explanation:

F = k * q * lambda * R * π * (1 - √2/2)

Substituting the given values of q, lambda, R, and k, we get:

F = (9 x 10^9 N*m^2/C^2) * (20 x 10^-9 C) * (1 x 10^-6 C/m) * (0.1 m) * π * (1 - √2/2)

F ≈ 8.58 x 10^-4 N

Therefore, the force of interaction between the half ring and the point charge is approximately 8.58 x 10^-4 N.

1. Calculate the increase in length of an iron wire that is 30m long at 20°c when it is warmed to 45°c (take airon 1.1x10³J/k)
2. If 2200 Joule of heat is added to a 190 g object its temperature increases by 12°c.W hat is
a. specific heat capacity
b. heat capacity of the object​

Answers

The increase in length of the iron wire when warmed from 20°C to 45°C is approximately 8.25 millimeters. The specific heat capacity of the object is approximately 9.62 J/kg°C. The heat capacity of the object is approximately 1.83 J/°C.

ΔL = L × α × ΔT

Where:

ΔL is the change in length

L is the original length of the wire

α is the coefficient of linear expansion for iron

ΔT is the change in temperature

The coefficient of linear expansion for iron is typically 1.1 x \(10^(^-^5^)\) °\(C^(^-^1^)\).

Given:

L = 30 m (original length of the wire)

α = 1.1 x \(10^(^-^5^)\) °\(C^(^-^1^)\) (coefficient of linear expansion)

ΔT = 45°C - 20°C = 25°C (change in temperature)

ΔL = 30 m × (1.1 x \(10^(^-^5^)\) °\(C^(^-^1^)\)) × 25°C

= 30 m × 1.1 x\(10^(^-^5^)\) × 25

= 8.25 x \(10^(^-^3^)\) m

2) Q = mcΔT

Where:

Q is the heat energy transferred

m is the mass of the object

c is the specific heat capacity

ΔT is the change in temperature

Given:

Q = 2200 J (heat energy transferred)

m = 190 g (mass of the object)

ΔT = 12°C (change in temperature)

a. Specific heat capacity (c):

one need to rearrange the formula to solve for c:

c = Q / (m × ΔT)

Substituting the given values:

c = 2200 J / (190 g × 12°C)

First, need to convert the mass to kilograms:

m = 190 g = 190 g / 1000 = 0.19 kg

Now can calculate the specific heat capacity:

c = 2200 J / (0.19 kg × 12°C)

= 9.62 J/(kg°C)

b. Heat capacity (C):

The heat capacity is the amount of heat energy required to raise the temperature of the object by 1 degree Celsius.

C = mc

Substituting the given values:

C = 0.19 kg × 9.62 J/(kg°C)

= 1.83 J/°C

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How many types of rocks make up the Earth's crust?

Answers

Answer:

3, it's the igneous rock, sedimentary rock, and metamorphic rock i believe

Explanation:

Answer:

igneous, sedimentary, and metamorphic.

Explanation:

Drosera magnifica is an organism that was first discovered in 2015.
Its cells
have permanent vacuoles and are surrounded by a layer of cellulose.
Identify the name of the kingdom that this organism belong
Punta​

Answers

Answer:

The correct answer is - Plantae.

Explanation:

Drosera magnifica is discovered in 2015 for the first time and the characteristics this organism's cell shows are -

- permanent vacuoles

- surrounded by cellulose layer

Vacuoles are present in both Plantae and Animalia kingdom of the eukaryotic organism but in animal cells, there are small and numerous vacuoles present and they are not permanent whereas in plant cells vacuoles are present permanently.

The cell of an animal cell has no surrounding layer other than cell membrane while in the plant cell there is a supporting and protecting layer of cellulose cell wall present.

On the basis of the given characteristics, it is confirmed that the Drosera magnifica belongs to Plantae kingdom.

Explain why distance has a larger impact on the gravitational force between two objects than mass does.

Answers

if the mass of both of the objects is doubled, then the force of gravity between them is quadrupled. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.

The speed of an animal is how fast it is moving. A speed of 6 m/s (meters per second) means that the animalmoves a distance of 6 meters every second.
1. How would you measure the speed of an animal?
2. What do you think are the fastest animals?​

Answers

Answer:

Based on the seconds given or recorded you might multiply seconds by 6 and that will give you your equation format to measure the speed of an animal. Cheetahs and wild boars are the fastest probably.

Explanation:

A 1050 W carbon-dioxide laser emits light with a wavelength of 10μm into a 3.0-mm-diameter laser beam. What force does the laser beam exert on a completely absorbing target?

Answers

The force exerted by the laser beam on a completely absorbing target is \(3.5 \times 10^{-6} \ N\).

The given parameters;

power of the laser light, P = 1050 Wwavelength of the emitted light, λ = 10 μm

The speed of the emitted laser light is given as;

v = 3 x 10⁸ m/s

The force exerted by the laser beam on a completely absorbing target is calculated as follows;

P = Fv

\(F = \frac{P}{v} \\\\F = \frac{1050}{3\times 10^8} \\\\F = 3.5 \times 10^{-6} \ N\)

Thus, the force exerted by the laser beam on a completely absorbing target is \(3.5 \times 10^{-6} \ N\).

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If an ice cube has a mass of 5g and is left in the sun in a beaker, what will happen to its mass?​

Answers

Answer:

The mass remains the same

Explanation:

An ice cube of mass 5g left in the sun in a beaker will have no mass difference.

For this system, mass is conserved.

The ice cube begins to melt and the state changes. The state change is from solid to liquid. Since no mass is loss, the mass of the liquid formed and the ice will remain the same. In retrospect, this physical change ensures that mass is conserved.

A heavy stone and a light stone are released from rest in such a way that they both have the same amount of gravitational potential energy just as they are released. Air resistance is negligibly small. Which of the following statements about these stones are correct? (There could be more than one correct choice)
a) The stones must have been released from the same height.
b) The stones both have the same kinetic energy just as they reach the ground.
c) The stones both have the same speed just as they reach the ground.
d) Just as it reaches the ground, the light stone is travelling faster than the heavy stone.
e) The initial height of the light stone is greater than the initial height of the heavy stone.

Answers

The stones needed to be dropped from the same height. The light stone is moving quicker than the hefty stone just as it touches the ground. The light stone is taller when it is first placed than the heavy stone is.

What exactly is meant by energy?

Energy is the ability to carry out work. Potential, kinetic, thermal, electrical, chemical, nuclear, and other forms may all exist for it.

In Example, what is energy?

There are numerous types of energy. Examples of these include: electromagnetic energy, chemical energy, nuclear or atomic energy, mechanical energy, gravitational energy, electrical energy, sound energy, and so on. Each form can be changed or transformed into the others.

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5. The baseball player does 1234 J of work when hitting a baseball into left field.
Assuming the baseball landed 100 m away from home plate, how much force did
the player use to hit the ball?

Answers

Answer:

12.34 N

Explanation:

Work Done = Force × Displacement

1234 = Force × 100

Force = 12.34N

Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.

Answers

The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

How do i determine the quantity of heat energy?

First, we shall list out the given parameters from the question. This is shown below:

Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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Pete roller skates with a constant speed of 8 miles per hour. How long will he take to travel a distance of 12 miles?

Answers

96 hours
explanation:
8 X 12

Answer:

8 divided by 12 is 1.6

Explanation:

. .......

Match the following:​

Match the following:

Answers

Answer:

iron metal :chromiummachinery part :nickel or chromiumornamentation and decoration pieces :silver and goldprocessed food :tin coated iron canbridges and automobiles :zinc metaldistilled water:bad conductor

You drop a 2.00 kg book to a friend who stands on the ground at distance D = 10.0 m below. If your friend's outstretched hands are at distance d = 1.50 m above the ground (Fig. 8-28), (a) how much work Wg does the gravitational force do on the book as it drops to her hands? (b) What is the change ΔU in the gravitational potential energy of the book–Earth system during the drop? If the gravitational potential energy U of that system is taken to be zero at ground level, what is U(c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) Wg, (f) ΔU, (g) U at the release point, and (h) U at her hands.
The aswers are as follows:
a) 167J, b) -167J, c) 196J, d)29J, e)167J, f)-167J g)296J, and h) 129J

Answers

If your friend's outstretched hands are at distance d = 1.50 m above the ground, (a) work Wg does the gravitational force do on the book as it drops to her hands 167J, b) -167J, c) 196J, d)29J, e)167J, f)-167J g)296J, and h) 129J

a)  Work = mg(Ac)

              = 2 × 9.8 × (10 - 1.5) = 167j

b) ΔU = Ubc - Uab = Mg(bc) - Mg(ab)

          = mg(bc - ab)

           = 2 × 9.8 (1.5 - 10) = -167j

c) Potential energy at reach point v = mg(AB) = 2 × 9.8 × 10 = 196J

d) Potential energy at reach point U = mg (bc) = 2 × 9.8 × 1.5 = 29.4j

e) Total work wg = mg (ac) = 2 × 9.8 × 3.5 = 167j

f) ΔU = -wg = - 167j

g) ui = mg × AB + 100 = 196 + 100 = 296j

h) uf = mg × bc + 100 = 29.4 + 100 = 129j

Given the possibility of motion, gravitational forces can sort phases of various densities. Although high temperatures are not anticipated for the early Earth, widespread melting is one possibility. Sorting in response to the outgassing of deeply buried ices is a more feasible scenario. Such processes would have altered the moment of inertia, necessitating an adjustment to the angular velocity. Friction opposes gravitational settling and prevents it from being conservative, which makes quantification dubious. The ensuing phase separation and angular momentum alterations would not need to be as extensive as commonly believed if an iron protocore existed.

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What is the ratio of the earth's gravitational force on you, to your gravitational force on the earth?

Answers

Answer: 10%

Explanation:

n this case, if the earth' mass goes up by 10%, then the force of gravity on you, or your weight, will increase by the same amount, that is 10%

An average person is 175 cm tall. How
many people could you stack one on top of
another to reach the top of the CN Tower
(553 m)?

Answers

The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people

Hor to convert 175 centimeters to meters

We'll begin by converting 175 cm to m. This can be obtained as illustrated below:

100 cm = 1 m

Therefore,

175 cm = (175 cm × 1 m) / 100 cm

175 cm = 1.75 m

Thus, 175 cm is equivalent to 1.75 m

How to determine the number of people needed

The number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:

Height of tower = 553 mHeight of a person = 1.75 mNumber of people needed =?

Number of people needed = Height of tower / height of a person

Number of people needed = 553 / 1.75

Number of people needed = 316 people

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Shannon and Chris push on blocks with identical force. SHannon's block is twice as massive as Chris'. After pushing for 5 seconds, who did more work?

Answers

Neither because they used equal force
The amount of work done is equal to the force applied multiplied by the distance moved in the direction of the force.

Since Shannon and Chris push with identical force, the only difference between the two is the mass of the blocks.

The work done by Shannon is equal to the force she applied multiplied by the distance her block moved.

The work done by Chris is equal to the force he applied multiplied by the distance his block moved.

Since the force applied is the same, the only difference is the distance moved by each block.

Since Shannon's block is twice as massive as Chris', it will move half as far as Chris' block for the same amount of force applied.

Therefore, after pushing for 5 seconds, Chris did more work than Shannon.

Mr. Bateman creates a standing wave in the front of the classroom with the spring. S nodes form. The distance from Mr. Bateman to the cabinet is 6m. If a student times the spring moving back and forth and gets 0.2s for one cycle of the spring, how fast are the
waves moving?

Answers

Answer:

The speed of a wave is equal to the wavelength divided by the period. The wavelength is the distance between two consecutive nodes, and the period is the time it takes for one complete cycle of the wave.

In this case, the wavelength is 6 m and the period is 0.2 s. Therefore, the speed of the wave is 30 m/s.

The answer is 30 m/s.

Explanation:

Kinetic and Potential energy

Answers

The main difference between potential and kinetic energy is that one is the energy of what can be and one is the energy of what is. In other words, potential energy is stationary, with stored energy to be released; kinetic energy is energy in motion, actively using energy for movement.

3. Each croquet ball in a set has a mass of 0.50 kg. The green ball, traveling at 12.0 m/s,
strikes the blue ball, which is at rest. Assuming that the balls slide on a frictionless
surface and all collisions are head-on, find the final speed of the blue ball in each of
the following situations:
a. The green ball stops moving after it strikes the blue ball.
b. The green ball continues moving after the collision at 2.4 m/s in the
same direction.

Answers

Answer:

a) v_{2f} = 12.0 m / s,  b) v_{2f} = 9.6 m / s

Explanation:

This is an exercise in conservation of momentum, let's start by defining a system formed by the two balls, so that the forces during the collision have been internal and the moment is preserved.

Initial instant. Before the crash

          p₀ = m v₁₀ + m v₂₀

where we use index 1 for the green ball and index 2 for the blue ball.

Final moment. After the crash

         p_f = m v_{1f} + m v_{2f}

the moment is preserved

         p₀ = p_f

         m v₁₀ + m v₂₀ = m v_{1f} + m v_{2f}

they tell us that the blue ball is at rest before the crash

        m v₁₀ = m v_{1f} + m v_{2f}

a) it is indicated that the green ball stops after the collision v1f = 0

        m v₁₀ = m v_{2f}

        v_{2f} = v₁₀

        v_{2f} = 12.0 m / s

b) the speed of the green ball is v_{1f} = 2.4 m / s

         m v₁₀ = m v_{1f} + m v_{2f}

         v_{2f} = v_{1o}- v_{1f}

         v_{2f} = 12.0 - 2.4

         v_{2f} = 9.6 m / s

you made $100,000 this year. you have $0 in adjustments, $11,500 in deductions and $7,300 in exemptions. What is your taxable increase?

Answers

The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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The towel has better blank
than that towel.
A.duplication
B.formation
C.qualification
D.absorption

Answers

Answer:

D

Explanation:

Towels Absorb

Which is a characteristic of an electromagnetic wave?
The fields are at right angles to each other and to the direction of the wave.


The waves are produced when an electric charge is at rest.


The fields are aligned with each other and to the direction of travel.


The fields are independent of each other.

Answers

Answer:

The fields are at right angles to each other and to the direction of the wave.

Explanation:

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If a customer purchases an item, there is a 9% chance they buy the regular item for $5.08 and if they do not buy the regular item, then they buy the deluxe item for $23.34.Assume each customer makes their purchase decision independently of all other customers, and each customer has the same chance of purchasing the item.What is your expected daily sales? which of the following was virtually unregulated before being banned by the mccain feingold act Researchers are interested in assessing whether active play causes a preference for sweet or salty foods in toddlers more so than passive play. They assign groups of children to either an active play, passive play, or no play group and record their food choices when presented with a variety of sweet and salty foods. 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Which is an algebraic representation of the dilation? PLEASE PLEASE HELP ME I WILL GIVE BRAINIEST IF I GET THIS QUESTION CORRECTDiscuss: What does it mean to "be free"?In the last two lessons, you read about various people, both real and fictional, who have struggled to extend freedoms reach. Their efforts focused on both people in their own countries and their fellows around the world.Using specific examples from the reading selections, develop a one-paragraph response answering the following question:Prompt: What does it mean to "be free"?Introduce the topic by defining freedom and explaining what it means to be free. Then, develop the topic with facts, details, quotations, examples, and/or other evidence from at least one of the selections you read in Unit 4. Be sure to state the name and author of the text you choose.Conclude by clearly restating the main idea. Use a formal style and an objective tone, and follow the conventions of standard English. are there any websites that will do a Hyphens w/ Compound Nouns & Adjectives check on a sentence Question 10 of 10What does the Hindenburg example illustrate about the effect of severalforms of media on a single story?OA. That each medium creates a different experienceOB. That newspapers are the best source of informationC. That the medium of video is the only way to get the real storyOD. That hearing words spoken is better than reading themSUBMIT The molar mass of P2O5 is Blank 1 grams per mole. Please round atomic masses to the nearest whole number. are men from mars and woman from venus as john gray suggests, or are men and women more similar than dissimilar? what does janet hyde have to say about gender similarities and differences? Dr. Sali believes that infants who are not visually stimulated during the first four months of life will never develop normal visual perception. Clearly, Dr. Sali believes that this phase of development is a(n) which concept supports the argument that disney princess movies shape our ideals about gender roles, even if we think we escape their influence? during which phase of the criminal justice process would the municipal police most likely be involved?