A hammer with mass m is dropped from rest from a height h above the earth's surface. This height is not necessarily small compared with the radius RE of the earth. If you ignore air resistance, derive an expression for the speed v of the hammer when it reaches the surface of the earth. Your expression should involve h, RE, and mE, the mass of the earth.

Answers

Answer 1

Answer:

v = √{2(GmE(1/RE - 1/(RE + h)]}

Explanation:

From the law of conservation of energy, the total kinetic + potential energy at h = total kinetic  + potential energy at the surface of the earth(h = 0)

So, K + U = K' + U'

where K = kinetic energy of hammer at h = 0

U = gravitational potential energy of hammer at h = -GmEm/(RE + h)

K' = kinetic energy of hammer at the earth's surface (h = 0) = 1/2mv²

U = gravitational potential energy of hammer at earth's surface (h = 0) = -GmEm/RE

So, K + U = K' + U'

0 + [-GmEm/(RE + h)] = 1/2mv² +  [-GmEm/RE]

0 - GmEm/(RE + h) = 1/2mv² - GmEm/RE

collecting like terms,we have

1/2mv² = GmEm/RE - GmEm/(RE + h)

Factorizing GmE and multiplying both sides by 2, we have

v² = 2(GmE(1/RE - 1/(RE + h)]

taking square-root of both sides, we have

v = √{2(GmE(1/RE - 1/(RE + h)]}

Answer 2

The expression for the speed of the hammer will be:

[tex]V=\sqrt{2(Gm_e(\dfrac{1}{R_e}-\dfrac{1}{R_e+h}) }[/tex]

What will be the speed of the hammer?

The law of conservation says that the total energy at the height h and the total energy at the surface of the earth will remain constant.

From the law of conservation of energy

[tex]KE+PE=KE'+PE'[/tex]

where

KE = kinetic energy of hammer at h = 0

PE = gravitational potential energy of hammer at h height

[tex]PE=\dfrac{-Gm_em}{R_e+h}[/tex]

KE' = kinetic energy of hammer at the earth's surface (h = 0)

[tex]KE'=\dfrac{1}{2} mv^2[/tex]  

PE' = gravitational potential energy of hammer at earth's surface (h = 0)

[tex]PE'=\dfrac{Gm_em}{R_e}[/tex]

Now by putting the values

[tex]KE+PE=KE'+PE'[/tex]

[tex]0+ \dfrac{-Gm_em}{R_e+h}[/tex]   [tex]=\dfrac{1}{2} mv^2[/tex] [tex]-\dfrac{Gm_em}{R_e}[/tex]

[tex]\dfrac{1}{2} mv^2=\dfrac{Gm_em}{R_e} -\dfrac{Gm_em}{R_e+h}[/tex]

[tex]v^2=2Gm_e(\dfrac{1}{R_e} -\dfrac{1}{R_e+h} )[/tex]

[tex]v=\sqrt{2Gm_e(\dfrac{1}{R_e} -\dfrac{1}{R_e+h} )}[/tex]

Thus the expression for the speed of the hammer will be:

[tex]V=\sqrt{2(Gm_e(\dfrac{1}{R_e}-\dfrac{1}{R_e+h}) }[/tex]

To know more about the speed follow

https://brainly.com/question/6504879


Related Questions

Particles q1 = -53.0 uc, q2 = +105 uc, and

q3 = -88.0 uc are in a line. Particles qı and q2 are

separated by 0.50 m and particles q2 and q3 are

separated by 0.95 m. What is the net force on

particle qı?

Remember: Negative forces (-F) will point Left

Positive forces (+F) will point Right

-53.0 μC

-88.0 C

+105 με

+92

91

93

K 0.50 m

0.95 m

Enter

no

Answers

Answer:

[tex]-180.38\ \text{N}[/tex]

Explanation:

[tex]q_1=-53\ \mu\text{C}[/tex]

[tex]q_2=105\ \mu\text{C}[/tex]

[tex]q_3=-88\ \mu\text{C}[/tex]

r = Distance between the charges

[tex]r_{12}=0.5\ \text{m}[/tex]

[tex]r_{23}=0.95\ \text{m}[/tex]

[tex]r_{13}=1.45\ \text{m}[/tex]

k = Coulomb constant = [tex]9\times 10^9\ \text{Nm}^2/\text{C}^2[/tex]

Net force is given by

[tex]F=F_{12}+F_{13}\\\Rightarrow F=\dfrac{kq_1q_2}{r_{12}^2}+\dfrac{kq_1q_3}{r_{13}^2}\\\Rightarrow F=kq_1(\dfrac{q_2}{r_{12}^2}+\dfrac{q_3}{r_{13}^2})\\\Rightarrow F=9\times 10^9\times (-53\times 10^{-6})(\dfrac{105\times 10^{-6}}{0.5^2}+\dfrac{-88\times 10^{-6}}{1.45^2})\\\Rightarrow F=-180.38\ \text{N}[/tex]

The force on the particle [tex]q_1[/tex] is [tex]-180.38\ \text{N}[/tex].

Answer:

The answer sir would be 180.38

Explanation:

Put in 180.38 trust

help pls thx!!!!!!!
this is my last question i hope!

Answers

Answer:

Left

Explanation:

newtons is a measure of force. Since there is more newtons(force) pushing to the left, the object will move left. the 15 newtons cancel each other out, leaving only 5 newtons pushing to one side with no resistance.

left
hope this helps


Which of the following is a device
that breaks down light into colors
and produces an image of the
spectrum, which can help
determine the chemical
composition of a star?

A. barometer
B. phonograph
ald
C. spectograph
D. altimeter

Answers

Answer:

spectrograph

hope it is helpful to you

Answer: spectograph

Explanation:

Assuming the average rate of heat energy flowing outwards from earth to be 0.063 W/m2 calculate the energy available at a hot spot in Wyoming which has diameter of 8m. If the efficiency of conversion of this energy to electricity is 50% then calculate the electricity generation capacity in kWh for a period of one year. If the cost of producing 1kWh of energy is $0.12 is it worth producing electricity from this source

Answers

Answer:

"13.48 Kwhr" is the right solution.

Explanation:

The given values are:

Average rate of heat energy,

= 0.063 W/m²

Diameter,

= 8m

Efficiency of conversion,

= 50%

Now,

The area of hotspot will be:

⇒  [tex]A=\frac{\pi}{4} d^2[/tex]

On substituting the values, we get

⇒      [tex]=\frac{3.14}{4} (8)^2[/tex]

⇒      [tex]=0.785\times 64[/tex]

⇒      [tex]=50.24 \ m^2[/tex]

Total heat generation rate will be:

⇒  [tex]Q=q\times A[/tex]

        [tex]=0.063\times 50.24[/tex]

        [tex]=3.16 \ W[/tex]

hence,

The electricity generation capacity will be:

⇒  [tex]P=\eta Q t[/tex]

On substituting the values, we get

⇒      [tex]=0.5\times 3.16\times 8760[/tex]

⇒      [tex]=13840.8 \ Whr[/tex]

On converting into Kwhr, we get

⇒      [tex]=13.84 \ Kwhr[/tex]

Two objects, one with a mass of 2 m and one with a mass of 4 m are attracted to each other
by a gravitational force. If the force on 2 m is F, what is the force on mass 4 m in terms of F?

Answers

It would be 7 M 4 m x 2 m equals 8 M - 1 =7

A disk of known radius and rotational inertia can rotate without friction in a horizontal plane around its fixed central axis. The disk has a cord of negligible mass wrapped around its edge. The disk is initially at rest, and the cord can be pulled to make the disk rotate. Which of the following procedures would best determine the relationship between applied torque and the resulting change in angular momentum of the disk?
a. Pulling on the cord, exerting a force of 15 N for 2 s and then 25 N for 3 s, and measuring the final angular velocity of the disk
b. For five forces of different time intervals, pulling on the cord for 5 s, exerting a force of 15 N, and then measuring the angle through which the disk rotates in each case
c. For five forces of different time intervals, pulling on the cord for 5 s, exerting a force of 15 N, and then measuring the final angular velocity of the disk
d. For five forces of different magnitude, pulling on the cord for 5 s, and then measuring the final angular velocity of the disk

Answers

Pulling on the cord, exerting a force of 15 N for 2 s and then 25 N for 3 s, and measuring the final angular velocity of the disk.

What is torque?Torque is defined as the rate of change of angular momentum.

[tex]\tau = \frac{dL}{dt} \\\\[/tex]

[tex]Fr = \frac{\Delta L}{\Delta t} \\\\Fr = \frac{\Delta m\omega ^2r}{\Delta t} \\\\F = \frac{\Delta m\omega ^2}{\Delta t}[/tex]

[tex]F = \frac{m\Delta \omega ^2}{\Delta t} \\\\F = \frac{m(\omega _f^2 - \omega _i^2)}{t_2 - t_1}[/tex]

where;

[tex]\omega _i[/tex] is the initial angular velocity

[tex]\omega _f[/tex] is the final angular velocity

Since the disk is initial at rest, applying a force such as 15 N gives the disk its first angular velocity and applying 25 N force for 3 seconds gives the disk its final angular velocity.

Thus, the best procedure to determine the relationship between applied torque and the resulting change in angular momentum of the disk is

Pulling on the cord, exerting a force of 15 N for 2 s and then 25 N for 3 s, and measuring the final angular velocity of the disk.

Learn more about torque on a disk here: https://brainly.com/question/25482609

there are 3 balls , ball 1 has a mass of 2 kg ,ball number 2 has a mass of 0.5 kg, and ball number 3 has the mass of 0.02 kg ...for all the balls to have the same momentum which one has the greatest velocity? PLSSSS I NEED HELP

Answers

Answer:

If it moves at the same speed but has twice as much mass, its momentum is ... there is no air in space; there is no friction in space; there is no gravity in outer space ... One cart rolls rightward at 2 m/s and the other cart rolls leftward at 1 m/s. ... A 5-N force is applied to a 3-kg ball to change its velocity from +9 m/s to +3 m/s.

Explanation:

2O POINTS!!! Easy Question. Will Mark Brainiest


1. What evidence do you see that Newton's third law applies to electrostatic forces?

Answers

Answer: The Electrostatic force of attraction or repulsion between two charges shows that the Newton's third law applies to electrostatic forces.

Explanation: Consider two Oppositely charged charges separated by distance d.

The electrostatic force exerted by charge 1 on charge 2 is.

By Coulomb's Law :

               F1  = k [tex]\frac{Q1 Q2}{d2}[/tex].....................................(1)

The electrostatic force exerted by charge 2 on charge 1 is.

              F2  = - k [tex]\frac{Q1 Q2}{d2}[/tex] ................................. (2)

negative sign shows that force are in opposite direction.

 

From Equation 1 and 2

              F1 = - F2

Which implies Newton Third law.

The evidence observed from Newton's third law is that the electrostatic force of attraction exerted by two different charges will be equal in magnitude by acting opposite direction.

Newton's third law states that action and reaction are equal and opposite.

For different charges, say a positive charge (+ Q) and negative charge (-Q), the force of attraction exerted by both charges is equal and opposite.

let the positive charge, +Q = Q₁let the negative charge, -Q = Q₂

From Coulomb's law, the force of attraction the two charges will exert on each other is equal and can be calculated as follows;

[tex]F_{12} = \frac{kQ_1Q_2}{r^2}[/tex]

Thus, the evidence observed from Newton's third law is that the electrostatic force of attraction exerted by two different charges will be equal in magnitude by acting opposite direction.

Lear more here: https://brainly.com/question/23772134

Consider a simple pendulum that consists of a massless 2.00-meter length of rope attached to a 5.00-kg mass at one end. What happens to the frequency of oscillation of the pendulum if we double the length of the rope

Answers

Answer:

If we double the length we will have:

[tex]f'=\frac{f}{\sqrt{2}}[/tex]

Explanation:

The equation of the angular frequency of a pendulum is given by:

[tex]\omega=\sqrt{\frac{g}{L}}[/tex]

Where:

g is the gravityL is the length of the pendulum

By definition the period is:

[tex]T=\frac{2\pi}{\omega}[/tex]

And frequency is 1 over the frequency T:

[tex]f=\frac{1}{T}[/tex]

[tex]f=\frac{1}{2\pi}\sqrt{\frac{g}{L}}[/tex]

Now, if we double the length we will have:

[tex]f'=\frac{1}{2\pi}\sqrt{\frac{g}{2L}}[/tex]

[tex]f'=\frac{1}{2\pi\sqrt{2}}\sqrt{\frac{g}{L}}[/tex]

[tex]f'=\frac{f}{\sqrt{2}}[/tex]

Therefore, the new frequency is the old frequency over √2.

I hope it helps you!

(Electrical Physics)
The rate at which electrical energy is used may be measured in:

(a) joule second (b) watt second (c) watt (d) joule

Answers

Answer:

watt

Explanation:

Power is the rate at which energy is produced or consumed. Watts (W) measure rates of power over a period of time. A kilowatt (kW) is 1000 watts. A watt-hour (Wh) is a unit that measures the amount of electrical energy used over a period of time.

when creating a hypothesis,it must be written as an “if...then...” statement.

True or false

Answers

Answer:

The Answer is gonna be True

Woud earth be the same after losing its gravity,,.¿and how it gets affected by others planets,,.¿​

Answers

Answer:

If the earth lost its gravity we could not walk or live our normal ways

Answer:

If earth's gravity was to disappear then a lot would happen, but I believe the biggest impact on losing gravity is earth's un-stabilized core, gravity keeping earth's core stable would lead to the earth melting or would lead to its core being ripped apart into outer space, the impact on other planets its huge as well because the gravity keeps the earth in orbit and without it, earth will start roaming around the solar system bumping into planets which would lead to the entire solar system exploding. I hope this helped.

Explanation:

which statement best describes plant cells?

- plant cells have cell walls and chloroplasts to conduct photosynthesis

- plant cells have a smaller vacuoles than in animal cells

- plant cells have mitochondria to also perform cellular respiration

- all of the above

- only a & c

Answers

Answer:

Notice how all the cells seem to stack on each other, with no spaces in ... and pancreas, which work together to carry out a certain function (in this case, ... Structures found in plant cells but not animal cells include a large central vacuole, cell wall, ... It consists mainly of cellulose and may also contain lignin , which makes it ...

Explanation:

The 360-turn primary coil of a step-down transformer is connected to an ac line that is 120 V (rms). The secondary coil is to supply 15.0 A at 6.30 V (rms). 1) Assuming no power loss in the transformer, calculate the number of turns in the secondary coil. (Express your answer to two significant figures.)

Answers

Answer:

N₂ = 19 turns

Explanation:

A transform is a system with two different windings where the variation of the magnetic beam is the same, if there are no losses in the system we can use Faraday's law

          V₁ = -N₁  [tex]\frac{d \Phi_B }{dt}[/tex]

          v₂ = - N₂ \frac{d \Phi_B }{dt}

           [tex]\frac{V_1}{N_1} = \frac{V_2}{N_2}[/tex]

in this case we look for the number of turns in the second winding

            N₂2 = [tex]N_1 \ \frac{ V_2}{V_1}[/tex]

calculate us

           N₂ = 360  6.30/ 120

           N₂ = 18.9 turn

The number of turns must be an integer

           N₂ = 19 turns

B. Exercises
Exercise 1
Direction: identfy the plumbing symbols in each item Write your answer on the space
provided before each number​

Answers

Answer:

please I do not understand that question

My best friend just returned from the clinic. She just found out she is HIV- positive. She invited me for dinner. What should I do? Should I go? What do I say to her and her family? Can I eat the foods she cooked or touched? Will she be all right? Imagine this letter is from a friend. Write a page response. Include reasons for your advice.

Answers

Answer:

yes, because you dont want to be mean and make her feel worse about it and hiv has something do with s3x not germs so yes go

Explanation:

you and a friend setup an umbrella and chairs at a beach. your friend goes into the surf zone while you relax on the sand. several minutes later, your friend is surprised to find that they are no longer where the chairs and umbrella were setup. although still in the surf zone, they are 30 to 40 meters from where they started. how would explain to your friend why they moved along the shore

Answers

Answer:

Backwash effect

Explanation:

Your friend moved along the shore due to ; The swash effect and the Backwash effect

Swash effect is caused by the upsurge of water up along the slopping front of the beach  and this same upsurge in water moves back into the beach in what is known as the backwash effect hence the movement of your friend form where they were in the surf zone to another position still within the surface zone is caused by the BACKWASH EFFECT

He moved along the shore due to Backwash effect

What is backwash effect?

Your friend moved along the shore due to ; The swash effect and the Backwash effect

Swash effect is caused by the upsurge of water up along the slopping front of the beach  and this same upsurge in water moves back into the beach in what is known as the backwash effect.

hence the movement of your friend form where they were in the surf zone to another position still within the surface zone is caused by the  Backwash effect.

To know more about backwash effect follow

https://brainly.com/question/5060579

Radio waves travel at the speed of light. What is the wavelength of a radio signal with a frequency of 9.45 x 10^7 Hz?

Answers

The wavelength of this radio signal is equal to 3.18 meters.

Given the following data:

Frequency = [tex]9.45 \times10^7[/tex] Hz.Speed of light = [tex]3 \times 10^8[/tex] m/s.

What is wavelength?

Wavelength can be defined as the distance between two (2) successive crests (troughs) of a wave.

How to calculate wavelength.

Mathematically, the wavelength of a wave is given by this formula:

[tex]\lambda = \frac{V}{F}[/tex]

Where:

F is the frequency of a wave.V is the speed of a sound wave.[tex]\lambda[/tex] is the wavelength of a sound wave.

Substituting the given parameters into the formula, we have;

[tex]\lambda = \frac{3 \times 10^8}{9.45 \times10^7}[/tex]

Wavelength = 3.18 meters.

Find more information on waves here: brainly.com/question/23460034

The wavelength of the radio signal travel at speed of light is 3.17m.

Given the data in the question;

Frequency of the radio wave; [tex]f = 9.45 * 10^{7}Hz = 9.45 * 10^{7} s^{-1}[/tex]Wavelength of a radio signal; [tex]\lambda = \ ?[/tex]

Wavelength

Wavelength the spatial period of a periodic wave. That is to say, when the shapes of waves are Wavelength , the distance over which they are repeated is called wavelength. Wavelength  is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where [tex]\lambda[/tex] is wavelength, f is the frequency of the wave and c is the velocity or speed of light ( [tex]c = 3*10^8m/s[/tex] )

We substitute our values into the expression above.

[tex]\lambda = \frac{c}{ f}\\ \\\lambda = \frac{3*10^8m/s}{9.45*10^7s^{-1}} \\\\\lambda = \frac{3*10^8ms/s}{9.45*10^7}\\\\\lambda = 3.17m[/tex]

Therefore, the wavelength of the radio signal travel at speed of light is 3.17m.

Learn more about wavelength: brainly.com/question/16776907


A rooster struts in a straight line on the roof. His motion is shown on the following graph of horizontal
position vs. time t.
z(m)
3
som
t(s)
What is the instantaneous speed of the rooster at t = 15?


Answers

Answer: 0.25 m/s

Explanation:

As you look out of your dorm window, a flower pot suddenly falls past. The pot is visible for a time t, and the vertical length of your window is Lw. Take down to be the positive direction, so that downward velocities are positive and the acceleration due to gravity is the positive quantity g. Assume that the flower pot was dropped by someone on the floor above you (rather than thrown downward). If the bottom of your window is a height hb above the ground, what is the velocity vground of the pot as it hits the ground? You may introduce the new variable vb, the speed at the bottom of the window, defined by
vb = Lwt + gt2.

Answers

Answer:

[tex]\mathbf{v_{ground} = \sqrt{{v^2+2ghb}}}[/tex]

Explanation:

From the information given:

The avg. velocity post the window is;

[tex]v_{avg} = \dfrac{L_w}{t}[/tex]

[tex]v_b[/tex] = velocity located at the top of the window

[tex]v_b[/tex] = velocity situated at the bottom of the window  

Using the equation of kinematics:

[tex]v_b = v_t + gt[/tex]

Hence,

[tex]v_t = v_b - gt[/tex]

To determine the average velocity as follows:

[tex]v_{avg} = \dfrac{1}{2} (v_t + v_b)\dfrac{L_w}{t}= \dfrac{1}{2}(v_b - gt +v_b) \\ \\\dfrac{L_w}{t} = v_b - \dfrac{1}{2}gt \\ \\ v_b = \dfrac{L_w}{t }+ \dfrac{1}{2} gt\\ \\ = \dfrac{1}{t} \Bigg(L_w + \dfrac{1}{2}gt^2 \Bigg) \\ \\[/tex]

where;

[tex]v_b[/tex] = velocity gained when fallen through the height h.

Similarly, using the equation of kinematics, we have;

[tex]v_b^2 = 2gh \\ \\h = \dfrac{v_b^2}{2g}[/tex]

[tex]\implies \dfrac{(L_w + \dfrac{1}{2} gt^2_^2}{2gt^2}[/tex]

Thus, the velocity at the ground is;

[tex]v^2_{grround} = v_b^2 + 2ghb[/tex]

[tex]\mathbf{v_{ground} = \sqrt{{v^2+2ghb}}}[/tex]

What units must be used for mass in
the calculation of kinetic energy?

Answers

Answer:

The units of kinetic energy are mass times the square of speed, or kg⋅m2/s2 kg ⋅ m 2 /s 2. But the units of force are mass times acceleration, kg⋅m/s2 kg ⋅ m/s 2, so the units of kinetic energy are also the units of force times distance, which are the units of work

Explanation:

EDGE 2021

Coherent light of frequency f travels in air and is incident on two narrow slits. The interference pattern is observed on a distant screen that is directly opposite the slits. The frequency of light f can be varied. For f = 5.60 × 1012 Hz there is an interference maximum for e = 60.0°. The next higher frequency for which there is an interference maximum at this Part A What is the separation d between the two slits? angle is 7.47 x 1012 Hz Express your answer with the appropriate units. HÀ Value d = _______.

Answers

Answer:

A)        d = 6.1857 10⁻⁵ m

Explanation:

In the double-slit experiment the constructive interference is given by the expression

          d sin θ = m λ

          d =[tex]\frac{m \lambda }{sin \theta}[/tex]

let's use the relationship between speed, wavelength and frequency

          c = λ f

          λ = c / f

          λ = 3 10⁸ / 5.60 10¹²

          λ = 5.357 10⁻⁵ m

I do not know India in order of interference, we will assume that  m= 1

          d = 1  5,357 10⁻⁵ / sin 60

          d = 6.1857 10⁻⁵ m

help plz fast :(((( need helpl

Answers

Answer:

True

Explanation:

I’m not 100% sure

How do home computer scanners generally use electromagnetic waves?

O A. They change information received from sound waves into electromagnetic waves.
OB. They gather information from reflected and absorbed waves.
O C. They receive microwaves that are emitted by natural objects.
O D. They use X-rays that penetrate most objects. SUBMIT​

Answers

Answer:

they gather information from reflected and absorbed waves.

Explanation:

What is 0.39 rounded to 3 Significant Figures and what is 390 rounded to 3 significant figures?

Answers

Answer:

That guy got your private ip he know where you live since you searched the link good job.

Explanation:

A disk of a radius 50 cm rotates at a constant rate of 100 rpm. What distance in meters will a point on the outside rim travel during 30 seconds of rotation? ​

Answers

Answer:

A point on the outside rim will travel 157.2 meters during 30 seconds of rotation.

                         

Explanation:

We can find the distance with the following equation since the acceleration is cero (the disk rotates at a constant rate):

[tex] d = v*t [/tex]

Where:

v: is the tangential speed of the disk

t: is the time = 30 s  

The tangential speed can be found as follows:

[tex] v = \omega*r [/tex]

Where:

ω: is the angular speed = 100 rpm

r: is the radius = 50 cm = 0.50 m

[tex] v = \omega*r = 100 \frac{rev}{min}*\frac{2\pi rad}{1 rev}*\frac{1 min}{60 s}*0.50 m = 5.24 m/s [/tex]    

Now, the distance traveled by the disk is:

[tex] d = v*t = 5.24 m/s*30 s = 157.2 m [/tex]

Therefore, a point on the outside rim will travel 157.2 meters during 30 seconds of rotation.

I hope it helps you!

How does a battery generate electrical energy?

Answers

Essentials. A battery is a device that stores chemical energy and converts it to electrical energy. The chemical reactions in a battery involve the flow of electrons from one material (electrode) to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.

A disk of radius 25 cm spinning at a rate of 30 rpm slows to a stop over 3 seconds. What is the angular acceleration?
B. How many radians did the disk turn while stopping ?
C. how many revolutions?

Answers

Answer:

A. α = - 1.047 rad/s²

B. θ = 14.1 rad

C. θ = 2.24 rev

Explanation:

A.

We can use the first equation of motion to find the acceleration:

[tex]\omega_f = \omega_i + \alpha t\\[/tex]

where,

ωf = final angular speed = 0 rad/s

ωi = initial angular speed = (30 rpm)(2π rad/1 rev)(1 min/60 s) = 3.14 rad/s

t = time = 3 s

α = angular acceleration = ?

Therefore,

[tex]0\ rad/s = 3.14\ rad/s + \alpha (3\ s)\\[/tex]

α = - 1.047 rad/s²

B.

We can use the second equation of motion to find the angular distance:

[tex]\theta = \omega_i t + \frac{1}{2}\alpha t^2\\\theta = (3.14\ rad/s)(3\ s) + \frac{1}{2}(1.04\ rad/s^2)(3\ s)^2\\[/tex]

θ = 14.1 rad

C.

θ = (14.1 rad)(1 rev/2π rad)

θ = 2.24 rev

A particle of ink in a ink-jet printer carries a charge of -8x 10^-13 C and is deflected onto paper force of 3.2x10^-4. Find the strength of the electric field

Answers

Beef and cheddar is your answer

When tectonic plates converge, they are most likely to form....

Answers

Answer:

Explanation : if two tectonic plates collide, they form a convergent plate boundary. Usually, one of the converging plates will move beneath the other, a process known as subduction. Deep trenches are features often formed where tectonic plates are being subducted and earthquakes are common.

Answer:

a trench

Explanation:

Other Questions
How did other nations react to China as a result of Zheng Hes voyages?Other countries were unimpressed by the Chinese state.Nations gave China farming technology to improve Chinese agriculture.The voyages demonstrated Chinese wealth and power to other countries.Rulers decided that China did not have a strong navy and was not a threat. Listen to the audio, read the question, and choose the correct answer. Based on the dialogue, what can susan suggest to Pablo? If there are 36 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made. Read the following passage:Take the reins; but if at last your heart fails you, and you will benefit by my advice, stay where you are in safety, and suffer me to light and warm the earth." The agile youth sprang into the chariot, stood erect, and grasped the reins with delight, pouring out thanks to his reluctant parent.Which theme is best represented in this passage?the athleticism of youththe wisdom of agethe folly of youththe determination of youth Write a numerical expression for 3 more than half of 16. The above diagram shows 4 island countries in the Marina Ocean. Each inch on the map represents a distance of 750 miles. The capital of each island country is marked with a star.If a pilot takes off from the capital of Orange Island and flies to the capital of Red Island, how far has he flown? A. 5,500 miles B. 1,500 miles C. 3,000 miles D. 4,500 miles PLEASE HELP1!1!1!1!!1!1 How did the economies of the Incan Empire and ancient Maya differ?The Inca collected taxes on all citizens, but the Maya collected only from farmers.The Inca did not rely on trade, but the Maya did.The Inca used barter, but the Maya did not.The Inca did not have paper money, but the Maya did. TAKE HOME1. Find the angle between the vectors:i-23 + 5k and 3i+j - 2k Reflection in the Y axis (geometry) Which of the following ratios is used in finding the tangent of an angle in a right triangle?A.hypotenuse/opposite legB.opposite leg/hypotenuseC.opposite leg/adjacent legD.adjacent leg/hypotenusePlease select the best answer from the choices providedABCD When you rub your feet on a carpet and then go to touch a door knob you may receive a shock! This is the result of millions of....moving in amatter of seconds. Determine is the point (9,5) is the solution to the system of inequalities below. Solve the equation16x2 + 4x + 1 =0 16.value:10.00 pointsWhich of the following defines a postzygotic isolating mechanism?Gametes don't recognize each other, and fertilization doesn't take place.Offspring produced are infertile, as they have a random number of chromosomes.Individuals discard each other, as they don't have the same mating rituals. Different species have different sex organs, which aren't compatible.2021 McGraw-Hill Education. All ri For Tammy's wedding she wants topurchase $80 flower centerpieces to put ontables. The flower shop will also charge her$35 for delivering the centerpieces. If Tammyhas a budget of $1000 to decorate the tables,how many centerpieces can she buy? Can someone tellMe how to do this Identify the recursive rule for the sequence: 4, 13, 22, 31, 40, 49 Write the recurring decimal 0.25 as a fraction in its simplest form Ben wants to test whether the material used to make a disposable cup affects the amount of thermal energy transferred to a person's hand. He investigates by carefully pouring the same volume of 90C water into a foam cup and into a paper cup. Which additional step in the investigation will help Ben determine which material reduces thermal energy (heat) transfer to the hand of a person holding the cup?A.Stir the water in each cup for 10 minutes before measuring its temperature.B.Measure the outside surface temperature of each cup after 10 minutes.C.Vary the amount of water held by each cup before measuring its temperature. Which plant cell organelle helps maintain the shape of the cell by helping to maintain turgor pressure?A)cell membraneB)nucleusC)vacuoleD)cytoskeletonHelpppp :(