Suppose that two point charges, each with a charge of 1 coulomb are separated by a distance of 1 meter. Determine the magnitude of the electrical force between them

Answers

Answer 1

The magnitude of the electrical force between the two identical electrical charges is 8.98755 × 10⁹N.

Given the data in the question;

Single charge each with; [tex]q_1\ and\ q_2[/tex] [tex]= 1C[/tex]Distance between; [tex]r = 1m[/tex]Electric force between; [tex]F = \ ?[/tex]

Coulomb's law

Coulomb's law states "that the force between two electrical charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them".

It is expressed as;

[tex]F = k\frac{q_1q_2}{r^2}[/tex]

Here, [tex]q_1\ and\ q_2[/tex]  are the two electrical charges, r is the distance between them and k is the Coulomb constant (  [tex]k = 8.98755*10^9 kgm^3/s^2C^2[/tex])

To determine the electrical force between the two charges, we substitute our values into the expression above.

[tex]F = k\frac{q_1q_2}{r^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)*\frac{(1C)(1C)}{(1m)^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)*\frac{1C^2}{1m^2}\\\\F = 8.98755*10^9 kgm/s^2\\\\F = 8.98755*10^9 N[/tex]

Therefore, the magnitude of the electrical force between the two identical electrical charges is 8.98755 × 10⁹N.

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Answer 2

The magnitude of the electrical force between the two charges is 8.987×10⁹ N.

What is coulomb's law?

As per the coulomb's law,  the electrical force between any two charges separated by a distance of r is given by the formula,

[tex]F = k\dfrac{q_1q_2}{r^2}[/tex]

Given that the value of q₁ and q₂ is 1 coulomb, while the distance between them is 1 meter. Also, the value of k is 8.987×10⁹ N·m²·C⁻², therefore, the force can be written as,

[tex]F = k\dfrac{q_1q_2}{r^2}\\\\F = (8.987 \times 10^{9}) \times (\dfrac{1 \times 1}{1^2})\\\\F= 8.987 \times 10^{9}\rm\ N[/tex]

Hence, the magnitude of the electrical force between the two charges is 8.987×10⁹ N.

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Related Questions

A rock with a 8 kg mass is tied to a string and swung in a circular path. The 1.8 meter string is tied to a post, and during the motion, the string has a 35° angle with the post. The rock makes 100 rounds in 3 minute. The centripetal force on the ball is __ N.

Answers

The centripetal force of the rock tied to a string and swung in a circular path is determined as 1.65 N.

Angular speed of the rock

The angular speed of the rock is calculated as follows;

ω = 2π N

[tex]\omega = 35^0 \times \frac{2 \pi \ rad}{360^0} \times \frac{100}{3\min} \times \frac{1 \min}{60 \ s} \\\\\omega = 0.339 \ rad/s[/tex]

Centripetal force of the rock

The centripetal force of the rock is calculated from the product of mass and centripetal acceleration as shown below;

Fc = ma

Fc = m(ω²r)

Fc = mω²r

Fc = 8 x (0.339)² x 1.8

Fc = 1.65 N

Thus, the centripetal force of the rock tied to a string and swung in a circular path is determined as 1.65 N.

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What will be the total resistance and current in a parallel circuit with a 15-volt battery and three 10-ohm resistors?

Answers

Hello!

Recall for resistors in parallel:
[tex]\frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}[/tex]

We can begin by calculating the total resistance:
[tex]\frac{1}{R_t} = \frac{1}{10} + \frac{1}{10} + \frac{1}{10}}\\\\\frac{1}{R_t} = \frac{3}{10}\\\\R_t = \frac{10}{3} = \boxed{3.333 \Omega}[/tex]

Now, we can calculate the current using Ohm's Law:
[tex]V = iR\\\\i = \frac{V}{R}[/tex]

V = Voltage of battery (V)
i = Current (A)

R = Resistance (Ω)

Plug in the given voltage and the total resistance we solved for.

[tex]i = \frac{15}{3.33} = \boxed{4.5 A}[/tex]

why did united states withdraw from vietnam war

Answers

the Army had a fight in unfamiliar territory but with the combination of disadvantages and a loss of public support what to the United States withdrawing from Vietnam

Explanation:

I hope this helps

Mass m1 on the frictionless table of the figure is connected by a string through a hole in the table to a hanging mass m2

Answers

For a mass m1 on the frictionless table, the speed m1 must rotate a with radius r if m2 is to remain hanging at rest is mathematically given as

[tex]v=\sqrt{m1/m2*xg}[/tex]

What speed must m1 rotate in a circle of radius r if m2 is to remain hanging at rest?

Generally, the equation for the Force  is mathematically given as

Fc=Fw

Therefore

[tex]\frac{m1v1}{x}=m2g[/tex]

[tex]v=\sqrt{m1/m2*xg}[/tex]

In conclusion,  if m2 is to remain hanging at rest the speed of ratio of m1 is calcuylated using

[tex]v=\sqrt{m1/m2*xg}[/tex]

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The value of the velocity for the mass m₁ on the frictionless table will be [tex]\rm v = \sqrt{\frac{m_1}{m_2 xg} }[/tex]. Velocity is a time-based component. Its unit is m/sec.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity.

The given data in the problem is

m is the mass

g is the acceleration of free fall =10m/sec²

v is the velocity

From the balancing equation of force the centripetal force is equal to the weight;

[tex]\rm F_c= m_2 g \\\\ \rm \frac{m_1v_1^2}{x} = m_2 g \\\\ v= \sqrt{\frac{m_1}{m_2xg} } \\\\[/tex]

Hence the value of the velocity for the mass m₁ on the frictionless table will be [tex]\rm v = \sqrt{\frac{m_1}{m_2 xg} }[/tex].

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A boy of mass 50kg runs a set of steps of total height of 10cm. Calculate the work done (g =10)

Answers

Answer:

Explanation:

w=F×S

F=mg

F =50×110

F=500N

S=0.1 m

W=500×0.1

W=50j

A concave makeup mirror has a radius of curvature equal to 40 cm. How far away must your face be from the mirror so that your virtual image is twice the size of your actual face?.

Answers

Answer: 10 cm

Explanation:

[tex]$$The focal length is: \\ \\ \begin{aligned}f &=\frac{R}{2} \\&=-\frac{46}{2} \\f &=-20 \mathrm{~cm}\end{aligned}$$[/tex]

[tex]$$ Since the image is virtual: \\ \\ :\begin{aligned}\frac{v}{u} &=m \\\Rightarrow & v=m u \\\Rightarrow &v=2 u\end{aligned}$$[/tex]

[tex]$$ Using: \\ \\ \begin{aligned}&\frac{1}{l}=\frac{1}{v}+\frac{1}{u} \\&\frac{1}{20}=-\frac{1}{2 u}+\frac{1}{u} \\&\frac{1}{2 u}=\frac{1}{-20} \\&\Rightarrow u=-10 \\&\therefore u=10 \mathrm{~cm}\end{aligned}$$[/tex]

Therefore, you must be 10 cm away from the mirror so that your virtual image is twice the size of your actual face

Use the claim to answer the question.

Claim: Electromagnetic radiation can be described by a wave model or a particle model, depending on the situation.

Is this a scientific claim?

(1 point)


Yes, it can be backed up by experiments and evidence.

No, radiation is invisible, so there is no evidence to back up the claim.

Yes, any statement made by a scientist is a claim.

No, models can't be part of a scientific claim.

Answers

Scientific evidence such as reflection and photoelectric effect has proven the wave-particle model of electromagnetic radiation to be true.

What is electromagnet radiation?

Electromagnetic radiation is radiation produced as a result of the interactions of the electric and magnetic fields.

Some forms of electromagnetic radiation include:

radio wavesmicrowavesultraviolet radiationvisible light

Electromagnetic radiation can be described using a wave model or a particle model.

The wave property of electromagnetic radiation include:

diffraction reflectionrefraction

The particle property of electromagnetic radiation include:

photoelectric effectCompton effect.

Therefore, the wave-particle model of electromagnetic radiation is correct because it can be backed up by experiments and evidence.

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Answer:

I just took the identifying Claims Quick check

Explanation:

1. Claim: Electromagnetic radiation can be described by a wave model or a particle model, depending on the situation.

Is this a scientific claim?

Yes, it can be backed up by experiments and evidence.

2. A student states, "The wave model is better than the particle model for electromagnetic radiation because it is easier to understand." Is the student's statement a scientific claim?

No, it isn't because the statement is an opinion.

3. A student wants to make a scientific explanation regarding the wave model of electromagnetic radiation. Which of the following would be part of the scientific explanation?

Claims

4. A student makes this statement before conducting an experiment on electromagnetic radiation: "We expect the laser to diffract when passed through a slit." Which of the following explains why the student's statement is not a claim?

It is a prediction or hypothesis.

5. Which claim do scientists use to describe electromagnetic radiation?

Electromagnetic radiation exhibits properties of both particles and waves.

6. A physician is going to use high-frequency electromagnetic radiation to treat cancer in a patient. Which is a claim about this event?

A wave model is most useful for describing the frequency of the radiation.

How many electrons will it take to give a hot wired fence a charge of 3.5 X 10^6 C?

Answers

Answer:

Q = N e     where N e is the number of electrons required to produce charge Q

N = Q / e = 3.5E6 C / 1.6E-19C = 2.2E25   = 2.2 X 10^25    electrons

Answer:

3.5 million C

Explanation:

List the elements mentioned from hydrogen to iron in the order of their fusing temperature.

Answers

Explanation:

H

Hydrogen

-259.14 -252.87 0.00008988 (gas, 273K)

2

He

Helium

-272.20 (under pressure) -268.934 0.0001785 (gas, 273K)

3

Li

Lithium

180.54 1347 0.534

4

Be

Beryllium

1278 2970 1.8477

5

B

Boron

2300 3658 2.34

6

C

Carbon

3527 4827

(sublimes) 2.260 (graphite)

3.513 (diamond)

7

N

Nitrogen

-209.86 -195.8 0.0012506 (gas, 273K)

8

O

Oxygen

-218.4 -182.96 0.001429 (gas, 273K)

9

F

Fluorine

-219.62 -188.14 0.001696 (gas, 273K)

10

Ne

Neon

-248.67 -246.05 0.00089994 (gas, 273K)

11

Na

Sodium

97.81 882.9 0.971

12

Mg

Magnesium

648.8 1090 1.738

13

Al

Aluminum

660.37 2467 2.698

14

Si

Silicon

1410 2355 2.329

15

P

Phosphorus

44.1 (white)

410 (red, under pressure) 280 (white) 1.82 (white)

16

S

Sulfur

113 (α)

119 (b)

106.8 (g) 444.67 2.070 (α)

1.957 (b)

17

Cl

Chlorine

-100.98 -33.97 0.003214 (gas, 273K)

18

Ar

Argon

-189.37 -185.86 0.001784 (gas, 273K)

19

K

Potassium

63.65 774 0.862

20

Ca

Calcium

839 1484 1.55

21

Sc

Scandium

1541 2831 2.989

22

Ti

Titanium

1660 3287 4.54

23

V

Vanadium

1887 3377 6.11 (292 K)

24

Cr

Chromium

1857 2672 7.19

25

Mn

Manganese

1244 1962 7.44

26

Fe

Iron

1535 2750 7.874

27

Co

Cobalt

1495 2870 8.90

28

Ni

Nickel

1453 2732 8.902 (298 K)

29

Cu

Copper

1083.4 2567 8.96

30

Zn

Zinc

419.58 907 7.133

31

Ga

Gallium

Hello people ~
what's the value of acceleration due to gravity on earth?​

Answers

Answer:

9.8 m/s2

Its value is 9.8 m/s2 on Earth. That is to say, the acceleration of gravity on the surface of the earth at sea level is 9.8 m/s2. When discussing the acceleration of gravity, it was mentioned that the value of g is dependent upon location.

A 1500kg car moving at a speed of 20.1m/s comes toa stop after travelling a distance of 200m. What was the average force exerted by the breaks on the car?​

Answers

Answer:

= -1515N

Explanation:

v^2=u^2+2as

0m/s

u=20.1m/s

0=(20.1)^2+(2xax200)

0=404.01+400a

-404.01=400a

-404.01÷400=a

a= -1.01m/s^s

its negative because the force is slowing down the car

Newton's second law of motion

F=ma

=1500×-1.01

F= -1515N

Define resistance of a conductor. State the factors on which resistance of a conductor depends.

Name the device which is often used to change the resistance without changing the voltage source in an electric circuit.

Calculate the resistance of 50 m length of wire of cross-sectional area 0.01 square mm and of resistivity 5 ×10 ^-8 ohm m​

Answers

Answer:

1. Resistance is the opposition offered in a path of flow of current by the atoms or molecules of the conductor.

Factors on which resistance of a conductor depends are:

Length [tex]R \propto l[/tex]

Area of cross section [tex]R \propto \dfrac{1}{A}[/tex]

Nature of the material

2. Rheostat is used to change the resistance without changing the voltage source in an electric circuit.

3.

Given :

[tex]\dashrightarrow l = 50 m[/tex]

[tex]\dashrightarrow A = 0.01 {mm}^{2} [/tex]

[tex]\dashrightarrow A = 0.01 \times {10}^{ - 6} \: {m}^{2} [/tex]

[tex]\dashrightarrow \rho = 5 \times {10}^{ - 8} \: \Omega \: m[/tex]

We know that,

[tex] \dashrightarrow R = \rho \dfrac{l}{A}[/tex]

[tex] \dashrightarrow R = 5 \times {10}^{ - 8} \bigg(\dfrac{50}{0.01 \times {10}^{ - 6} } \bigg)[/tex]

[tex] \dashrightarrow { \pink{ \underline{ R = 250 \: \Omega }}}[/tex]

The resistance of a conductor is the opposition to the flow of current and depends on the length and area of the material

What is resistance of a conductor?

Resistance is the opposition to the flow of current by the atoms or molecules of the conductor.

The factors on which resistance of a conductor depends are:

Length of materialcross-sectional area of the materialNature of the material

A Rheostat is the device used to change the resistance without changing the voltage source in an electric circuit.

The resistanceis given as:

R = resistivity × length/ area

Area = 0.01 square mm = 1.0 × 10^-8 square m

R = (50 × 5 ×10 ^-8 ohm m)/1.0 × 10^-8 square m

Resistance = 250 ohm

Therefore, resistance of a conductor is the opposition to the flow of current.

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Where are active volcanoes most likely to found?
A.where rivers form
B where tectonic plate meet
C. Where oceans are deepest
D. Where land and water meet

Answers

Answer:

B. where tectonic plates meet

Explanation:

Most volcanoes occur near tectonic plate boundaries. For example, a large amount are found on the Ring of Firez connecting several plates.


Matthew drops a cherry pit out the car window 1.0m above the ground while traveling down the road at 18m/s.
a) How far, horizontally, from the initial dropping point, will the pit hit the ground
b) Draw a picture of the situation.
c) If the car continues to travel at the same speed, where will the car be in
relation to the pit when it lands?

Answers

Answer:

ADD ALL THEM AND ANSER WILL BE THERE 19.O

Explanatio

The objects shown in the following diagrams have different masses and are different distances apart. Which diagram shows the two objects that have the greatest force of gravity acting between them?

Answers

Answer:

C. 10kg to 10kg

Explanation:

You have to picture to it I think

The illustrations show soccer balls of different masses being kicked with equal force.
Which ball will have the greatest acceleration?

Answers

a. the ball it the lightest

Martha wants to calculate an object's velocity. What will she need to do?​

Answers

Answer:

you divide the distance by the time it takes to travel that same distance, then you add your direction to it.

If you travel for three hours at a speed of 30 km/h, how far will you go?

Answers

Distance = (speed) x (time)  <== This is important.  You should memorize it.

Distance = (30 km/hr) x (3 hr)

Distance = (30 x 3) (km/hr x hr)

Distance = 90 km

( Infer this information for both the lens and mirror based on the data collected. Report these ranges in terms of f and/or 2f. For example, “When do is less than 2f.” )

What range of do values will result in a real image?
What range of do values will result in a virtual image?
What range of do values will result in a smaller image?

Answers

This exercise is about Reflection and Mirrors. It explores the relationship between convex mirrors, virtual images, and complex images as well as to object distance d₀.

What range of d₀ values will result in a real image?

Any d₀ value greater than 10 for a convex lens will produce a true or real image, while any d₀ value greater than 15 for a complex mirror will produce a real image.

What range of d values will result in a virtual image?

Any d₀ number less than 10 for a convex lens will result in a virtual image. Also, any d₀ value less than 15 for a complex mirror will result in a virtual picture.

What range of do values will result in a smaller image?

The range of d₀ values that would result in a reduced picture in both lenses and mirrors is:

d₀ > 2 f, where is the Focal length.

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Why does the final electron energy not depend on the focusing cylinder voltage?

Answers

The electron energy does not depend on the focusing cylinder voltage because the magnetic field runs perpendicular to the electron's direction of movement.

What is a magnetic field?

A magnetic field is produced by moving negatively electric charges (electrons) which generate magnetic forces that are observable.

The negative electrons that orbit around atoms in a molecule generate small magnetic fields around such atoms.

According to Fleming's left-hand rule, the direction of a magnetic force acting on a current is perpendicular to the direction of the electric current and magnetic field.

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Because it exerts a force that's also parallel to the horizontal fields instead of in opposition to it, the final electron energy is unchanged by the focusing cylinder voltage.

What is electron energy?

An electron's energy is on the same scale (in the same range) as that of light. The lines in an element's spectrum represent changes in the energy of electrons within the element's atoms. Scientists have reached numerous conclusions regarding the behavior of electrons in atoms by studying these spectra.

Negative electrons orbiting around atoms in a molecule produce modest magnetic fields surrounding them.

The vector of a magnetic force that acts on a current is opposite to the axis of the electric current and magnetic fields, as per Fleming's left-hand rule.

Thus, because it exerts a force that's also parallel to the horizontal fields instead of in opposition to it, the final electron energy is unchanged by the focusing cylinder voltage.

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Imagine a situation : If people could not see colours, then how would traffic lights work ? Design a traffic system that does not rely on colors.​

Answers

Answer:

position

Explanation:

Okay, so this already exists

Colorblind people use the position of the light

Red on top, yellow in middle, green on bottom

If all of the resistors in the circuit were decreased in value by a factor of 1,000, would the current in each resistor simply increase by a factor of 1,000? explain your answer

Answers

In a circuit, if the resistors were decreased by a factor of 1,000, it is true that the current would increase by a factor of 1,000, according to Ohm's Law.

What is Ohm's Law?

It is a law in electricity that posits that the voltage that goes through a conductor is directly proportional to the current.

How does Ohm'slaw explain the change in current?

One formula in Ohm's law is:

Voltage = Current x Resistance

If the resistance were to decrease by a factor of 1,000, the current would have to increase by a factor of 1,000 as well in order to give the same voltage.

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Two cities in the same climate zone must have the same climate and weather conditions. Why is this statement true or false?

A. It is false because cities in the same climate zone must have different climates.
B. It is false because the two cities might differ in their proximity to water.
C. It is true because the two cities are at the same latitude.
D. It is true because the two cities will be closer to the equator.

Answers

Answer:

C

Explanation:

true because c is the best answer

Answer: The answer is C. It is true because the two cities are at the same latitude.

Explanation:

Hi I was doing the same test are u in flvs lol I am too if you are!

The question is in the attachment!!​

Answers

Explanation:

|F|= B/2

B/2 = √(A²+B²+2ABcosθ) ------(1)

Since the resultant of A and B is perpendicular to Vector A

tan90°= BSinθ/(A+BCosθ)

(A+BCosθ)=0

Cosθ=-A/B ----(2)

Using equation (1)

B/2 = √(A²+B²+2ABcosθ)

B/2 = √(A²+B²+2AB×-A/B)

B/2=√(A²+B²-2A²)

B/2=√(B²-A²)

B²/4=B²-A²

A²=B²-B²/4

A²=3B²/4

A=√3B/2

Using equation (2)

Cosθ=-A/B

Cosθ=-[√3B/2]/B

Cosθ=-√3/2

θ= cos^-1 (-√3/2)

θ= 150°

4. Which best explains the function of the alveoli in the respiratory system?
Page 135
A. The alveoli help to keep the lungs healthy by providing a way for all the cells
in the lungs to obtain nutrients from the bloodstream
B. The alveoli help to keep the lungs inflated when you breathe out and make it
possible to absorb oxygen
C. The alveoli provide a large surface area for absorbing oxygen from the air and
releasing carbon dioxide wastes from the bloodstream
D. The alveoli provide a large surface area for absorbing oxygen from the air
when you breathe in and look like a bunch of grapes
a

Answers

Answer:

C

Explanation:

Alveoli are tiny functioning structures that compose your lungs. They help with respiration. They have a large total surface area, which is very useful for respiration. The more surface area there is, the more transactions can happen. Which means that breathing will be easier/faster when you have more alveoli. (Please rate this answer if you have time!)

A group of physics students set a tuning fork of 500 Hz just above a big cooking pot. The tuning for is struck and continues to ring throughout the experiment. The students pour water into the pot until they hear the resonance of the fundamental mode.

If the cooking pot is 0.2 meters tall, how long is the wavelength of the resonance created?

What is an estimate for the speed of sound in this situation?

You may discover that the speed of sound seems a bit off. Write down some ideas on why that is.

Answers

(a) The wavelength of the resonance created is 0.8 m.

(b) The speed of the sound in the fundamental mode is 400 m/s.

(c) The low value of speed of speed of sound in water calculated may be as a result of low temperature of the water poured into the cooking pot.

Wavelength of the resonance created

The wavelength of the resonance created is determined by assuming the cooking pot to be a closed pipe.

Wavelength of fundamental mode of a closed pile = 4L

where;

L is length of the pipe

λ = 4 x 0.2 = 0.8 m

Estimated speed of sound

The speed of the sound in the fundamental mode is calculated as follows;

v = fλ

v = 500 x 0.8

v = 400 m/s

Sound wave is directly proportional to temperture, as the temperature of the water increases, the speed of sound increases as well.

The low value of speed of speed of sound in water calculated may be as a result of low temperature of the water poured into the cooking pot.

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If a fast-moving car making a loud noise approaches and moves past a person, which of the following will happen as the distance between the two increases?

A) The pitch and frequency of the sound waves reaching the person's ear will remain unchanged.

B) The pitch of the sound being heard by the person will appear to be lower than the pitch of the source.

C) The frequency of the sound waves reaching the person's ear will be greater than the frequency of the waves leaving the car.

D) The pitch of the sound being heard by the person will appear to be higher than the pitch of the source.

Answers

Answer:

(B) Probably - Pitch will appear to be lower than the source

Pitch differences occur because of relative motions between the source and observer - it does not depend on distance measurements

Answer:

(B) Probably - Pitch will appear to be lower than the source

Pitch differences occur because of relative motions between the source and observer - it does not depend on distance measurements

Explanation:


1. A hockey puck has a mass of 0.115-kg and strikes the pole of the net at (37 m/s)x. It bounces off in the opposite direction at (-25 m/s)x +(5 m/s)y. (A) What is the impulse on the puck? (B) If the collision takes .005s what is the force acted on the puck?

Answers

(a) The impulse on the puck is 1.323 kgm/s.

(b) The magnitude of the force that acted on the puck is 264.5 N.

Impulse of the puck

The impulse on the puck is equal to the change in momentum of the puck.

The change in th momentum of the puck is calculated as follows;

ΔP = m(u - v)

where;

v is the final velocity = (-25x + 5y) m/su is the initial velocity = 37 m/s

Magnitude of the final velocity

|v| = √[(-25)² + (5)²] = 25.5 m/s

ΔP = 0.115(37 - 25.5)

ΔP = 1.323 kgm/s

Thus, the impulse on the puck is 1.323 kgm/s.

Force on the puck

The magnitude of the force that acted on the puck is calculated as follows;

F = ΔP/t

F = 1.323/0.005

F =264.5 N

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a person walks 15.0 m in 5.00 s, and then walks 12.0 m in 10.00 s. What is the average
speed of the person?

Answers

start by dividing 10 secs into 2 groups (it will be easier if the timing is equal) add up 15, 6 and 6, and then divide by 3.

the average speed of the person is 9 meters per 5 seconds

A bicycle wheel of radius 40. 0 cm and angular velocity of 10. 0 rad/s starts accelerating at 80. 0 rad/s2. What is the centripetal acceleration of the wheel at this time point?

Answers

The magnitude of the centripetal acceleration of the bicycle wheel is 40 m/s².

Centripetal acceleration of the wheel

The centripetal acceleration of the bicycle wheel is the inward or radial acceleration of the bicycle on the circular path.

The magnitude of the centripetal acceleration of the bicycle wheel is calculated as follows;

a = ω²r

where;

ω is angular speed

r is the radius of the circular path

a = (10)² x 0.4

a = 40 m/s²

Thus, the magnitude of the centripetal acceleration of the bicycle wheel is 40 m/s².

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The acceleration of a body travelling in a circular route is known as centripetal acceleration.  The centripetal acceleration of the wheel at this time point is 40 m/sec².

What is centripetal acceleration?

The acceleration of a body travelling in a circular route is known as centripetal acceleration. It is given by the formula,

[tex]a_c = \dfrac{v^2}{r} = \omega^2 r[/tex]

The centripetal acceleration of the wheel with angular velocity 10 rad/sec and velocity 40cm (0.4 m) can be written as,

[tex]a_c = \omega ^2\times r\\\\a_c = (10)^2\times 0.4\\\\a_c = 40\rm\ m/sec^2[/tex]

Hence, the centripetal acceleration of the wheel at this time point is 40 m/sec².

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