A 9.00 g bullet is fired horizontally into a 1.20 kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20. The bullet remains embedded in the block, which is observed to slide 0.390 m along the surface before stopping.

Required:
What was the initial speed of the bullet?

Answers

Answer 1

Answer:

The initial speed of bullet is "164 m/s".

Explanation:

The given values are:

mass of bullet,

[tex]m'=9.00 \ g[/tex]

or,

    [tex]=0.009 \ kg[/tex]

mass of wooden block,

[tex]m=1.20 \ kg[/tex]

speed,

[tex]s=0.390 \ m[/tex]

Coefficient of kinetic friction,

[tex]\mu=0.20[/tex]

As we know,

The Kinematic equation is:

⇒  [tex]v^2=u^2+2as[/tex]

then,

Initial velocity will be:

⇒  [tex]u=v^2-2as[/tex]

        [tex]=v^2-2 \mu gs[/tex]

On substituting the given values, we get

⇒  [tex]u=\sqrt{0-2\times 0.20\times 9.8\times 0.390}[/tex]

       [tex]=\sqrt{-1.5288}[/tex]

       [tex]=1.23 \ m/s[/tex]

As we know,

The conservation of momentum is:

⇒  [tex]mu=m'u'[/tex]

or,

⇒ Initial speed, [tex]u'=\frac{mu}{m'}[/tex]

On substituting the values, we get

⇒                            [tex]=\frac{1.20\times 1.23}{0.009}[/tex]

⇒                            [tex]=\frac{1.476}{0.009}[/tex]

⇒                            [tex]=164 \ m/s[/tex]                              


Related Questions

Which structure is represented by letter C?
Choose 1 answers
A. Cell wall
B. Cell membrane
C. Ribosome
D. Cytosol

Answers

Answer: C. Ribosome

Explanation: Ribosome is responsible for protein synthesis. I got it right on khan academy :) hope this helps have a blessed day.

The structure which is represented by the letter C is known as free ribosomes. Thus, the correct option for this question is C.

What are Ribosomes?

Ribosomes may be defined as a type of cell organelle which is spherical and glandular in shape. They occur freely in the matrix or remain bound with ER.

The major components of ribosomes may include RNA and protein. Ribosomes were first discovered by Palade in 1953. There are two types of ribosomes, ie. the 70s and 80s.

Ribosomes play an important function in the process of protein synthesis. The structure which is represented by the letter A is known as the cell membrane. The structure which is represented by the letter B is known as Cytosol.

Therefore, the structure which is represented by the letter C is known as free ribosomes. Thus, the correct option for this question is C.

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PLEASE HELP ME PLEASE!​

Answers

Answer:

40N

Explanation:

The weight is "how much force of gravity drags this down".

Because we're told that gravity on the Moon exerts 1.6N of force per kg, a 25kg object will weigh:

[tex]F_g = 25kg \cdot 1.6\frac{N}{kg} = 40N[/tex]

45 J of work were done on the object that moved 5 meters. How much force was applied to the object?

Answers

Work done=45JDisplacement=5m

[tex]\\ \sf\longmapsto Work\:done=Force(Displacement)[/tex]

[tex]\\ \sf\longmapsto Force=\dfrac{Work\:done}{Displacement}[/tex]

[tex]\\ \sf\longmapsto Force=\dfrac{45}{5}[/tex]

[tex]\\ \sf\longmapsto Force=9N[/tex]

The applied force will be "9 N".

Given values:

Work done,

W = 45 J

Displacement,

d = 5 m

We know that,

→ [tex]Work \ done = Force\times Displacement[/tex]

or,

→ [tex]Force = \frac{Work \ done}{Displacement}[/tex]

By putting the values, we get

             [tex]= \frac{45}{5}[/tex]

             [tex]= 9 \ N[/tex]

Thus the response above is right.  

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Stars fuse most of the hydrogen in the entire star before they die.
2 poir
True
False

Answers

Once all hydrogen is depleted the star begins to die

Not only did Skid get shot out of a cannon when he was a clown in the circus, but he was also launched into the air by a vertically compressed spring. Skid of 55 kg is standing on a massless platform attached to a spring of constant 8700 N/m that is compressed 125 cm. Skid is launched from rest. He eventually leaves the platform and reaches a peak high above the platform. (a) What is the velocity of Skid when he leaves the platform

Answers

Answer:

v = 16.11 m / s

Explanation:

For this exercise we must use the principle of conservation of energy. We set a reference system on the part of the platform without elongation

starting point. When the spring is compressed

        Em₀ = K_e + U = ½ k x² + m g x ’

final point. The point where it leaves the platform

        Em_f = K = ½ m v²

energy is conserved

         Em₀ = Em_f

         ½ k x² + m g x ’= ½ m v²

         v² = [tex]\frac{k}{m}[/tex]  x² + g x

let's calculate

         v² = [tex]\frac{8700}{55}[/tex]  1.25² + 9.8 1.25

         v² = 247.159 + 12.25 = 259.409

         v = 16.11 m / s

how is the medium of a wave and transmit of a wave similar and different?

plssss I really need helpppp

Answers

Answer:

Sound and light are similar in that both are forms of energy that travel in waves. They both have properties of wavelength, freqency and amplitude. Here are some differences: Sound can only travel through a medium (substance) while light can travel through empty space.

A seismic wave is detected 100m, 5s after and explosion. Calculate the wave speed

Answers

we know that,

Frequency = 1/ time period

hence, Feq = 1/5 ===> 0.2 Hz

hence, wave velocity = freq * wavelength

hence,

V = 0.2 * 100

==> Wave velocity = 20 m/s

(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.

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!

180 N
40 kg
140 N
Net Force =

Also how do you find the net force?

Answers

Answer:

720N

Explanation:

180+(40×10)+140=720 remember we can only add with same units ;1kg=10N therefore 40 kg=(40×10)N=400N

The net force would be the summation of all the forces in addition to the weight force of the 40 kg weight, thus the net force of all the forces would come out to be 712.4 Newtons.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

F = ma

As given in the problem we have to find the net force,

Let us assume the acceleration due to gravity would be 9.81 m/s².

The force generated by the 40-kilogram weight =40 ×9.81 Newtons.

The force generated by the 40-kilogram weight = 392.4 Newtons

Net force = 180 + 140 +392.4

         

                =712.4 Newtons

Thus, the net force of all the forces would come out to be 712.4 Newtons.

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An astronaut brings a cube from the Earth to the Moon.
What is true about the inertial mass and weight of the cube?
Note that the gravitational acceleration on the Moon is about 1.6m/s^2

A) The inertial mass increases but the weight decreases.
B) Both the inertial mass and weight decrease.
C) The inertial mass decreases but the weight increases.
D) The inertial mass remains constant but the weight decreases.

Answers

Answer:

Answer D. Inertial mass constant, weight decreases.

Explanation:

Khan Academy

examples of transfer of energy

Answers

Answer:

by radiation

by heating

electrically

mechanically

what is 60mph (miles per hour) in meters per second? ( A mile is 5280ft)
please someone help me

Answers

Answer:

60mph=26.8224meters per second

Explanation:

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.

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It is measured that 3/4 of a body's volume is submerged in oil of density 800kg/m³

Answers

Complete question:

It is measured that 3/4 of a body's volume is submerged in oil of density 800kg/m³. What is the specific gravity of oil?

Answer:

The specific gravity of the oil is 0.8.

Explanation:

Given;

density of the oil, [tex]\rho_o[/tex] = 800 kg/m³

density of water, [tex]\rho_w[/tex] = 1000 kg/m³

The specific gravity of any substance is the ratio of the substance density to the density of water.

Specific gravity of the oil = density of the oil / density of water

Specific gravity of the oil = 800/1000

Specific gravity of the oil = 0.8

Therefore, the specific gravity of the oil is 0.8.

William B. Hartsfield was a man of humble origins who became one of the greatest mayors of Atlanta. He served as mayor for six terms (1937–41, 1942–61), longer than any other person in the city's history. Hartsfield held office during a critical period when the color line separating the races began to change and the city grew . . . to a metropolitan population of one million. He is credited with developing Atlanta into the aviation powerhouse that it is today . . . . . . . On August 30, 1961, the city peacefully integrated its public schools. As a result, Atlanta began to acquire its reputation as "A City Too Busy to Hate."

–New Georgia Encyclopedia

During Hartsfield’s time in office, Atlanta became known as "A City Too Busy to Hate.” What factors supported this nickname? Check all that apply.

The city integrated its schools.
Atlanta became a leader in aviation.
The economy declined.
The population increased to one million.
Many people served as the city mayor.

Answers

so basically the first answer would be correct, i hope i could help.

Answer:

It's A, B, and D

A. The city integrated its school

B. Atlanta became a leader in aviation

D. The population increased to one million

Explanation:

What major region does this profile
most likely represent?

Answers

Given the information on the graph, we can confirm that this profile represents the Ocean floor profile.

What causes the spike in the graph?The spike in the graph demonstrates a sharp change in depth. This is caused by the irregularities we expect to find on the ocean floor. Many parts of the ocean floor are deeper than others, caused by the movement of tectonic plates over time.

Therefore, we can confirm that the profile belongs to the ocean floor profile, firstly because of the information provided, as well as it being consistent with the irregularities in the depth of the ocean floor.

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As you rise upwards in the atmosphere air pressure___

Answers

Answer:

Gases - Water vapor, Nitrogen, Oxygen etc. Describe what happens to air pressure as you rise upwards in the atmosphere. What causes this change in air pressure? As altitude increases, air pressure will decrease As altitude increases the gas molecules that make up the air spread further apart

Answer: As you rise upwards in the atmosphere, air pressure decreases

Explanation: Because there are fewer molecules in the air, the air has a lower density, which results in a drop in air pressure. At different altitudes, the air is not the same. The area close to the earth is denser. As we rise, it continues to thin out. As a result of more air nearby, there is also increased air pressure. The weight and pressure of the air also continue to reduce as the volume of air does.

Waldo needs to know how much force to apply in order to move a 4000-kg object at 2 m/S2. Which law should he refer to
A.
first law
B.
second law
C.
third law
D.
law of gravity

Answers

Answer:

B . Second law

Explanation:

According to second law:

Net Force acting on the body produce acceleration. The magnitude acceleration of the body is directly proportional to net force and inversly proportional to the mass.

Mathematically:

                   a = [tex]\frac{F}{m}[/tex]

and

                   F = ma

So according to the given condition Waldo should use Second law.

explain melting and freezing using the kinetic theory of matter​

Answers

As a liquid is cooled its molecules lose kinetic energy and their motion slows. When they've slowed to where intermolecular attractive forces exceed the collisional forces from random motion, then a phase transition from liquid to solid state takes place and the material freezes

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

What is the approximate size of the Earth's magnetic field? (dont ask me to specify thats what the question is and im as confused as heck too)

Answers

Answer:

The Earth's magnetic field intensity is roughly between 25,000 - 65,000 nT (.25 -.65 gauss).

Explanation:

To measure the Earth's magnetism in any place, we must measure the direction and intensity of the field. The Earth's magnetic field is described by seven parameters. These are declination (D), inclination (I), horizontal intensity (H), the north (X), and east (Y) components of the horizontal intensity, vertical intensity (Z), and total intensity (F). The parameters describing the direction of the magnetic field are declination (D) and inclination (I). D and I are measured in units of degrees, positive east for D and positive down for me. The intensity of the total field (F) is described by the horizontal component (H), vertical component (Z), and the north (X) and east (Y) components of the horizontal intensity. These components may be measured in units of gauss but are generally reported in nanoTesla (1nT * 100,000 = 1 gauss). The Earth's magnetic field intensity is roughly between 25,000 - 65,000 nT (.25 - .65 gauss). Magnetic declination is the angle between magnetic north and true north. D is considered positive when the angle measured is east of true north and negative when west.  The magnetic inclination is the angle between the horizontal plane and the total field vector, measured positive into Earth. In older literature, the term “magnetic elements” is often referred to as D, I, and H.

You are designing a solenoid to produce a 2.0-kG magnetic field. You wish to wrap your insulated wire uniformly around a cardboard tube that is 8.0 cm in diameter and 58 cm in length, and you have a power supply that will allow you to pass a current of 2.5 A through the solenoid. Determine the total length of wire you will need in order to build the solenoid you have designed.

Answers

Answer:

92.7 km

Explanation:

Since the magnetic field due to a solenoid is given by B = μ₀Ni/L where  μ₀ = permeability of free space = 4π × 10⁻⁷ H/m, N = number of turns of solenoid, L = length of cardboard tube = 58 cm = 0.58 m, , i = current in wire = 2.5 A and l = length of wire.

So, N = BL/μ₀i

Since B = 2.0 kG = 2.0 × 10³ G = 2.0 × 10³ × 10⁻⁴ T = 2.0 × 10⁻¹ T = 0.2 T

So, substituting the variables into the equation, we have

N = BL/μ₀i

N = 0.2 T × 0.58 m/(4π × 10⁻⁷ H/m × 2.5 A)

N = 1.16 Tm/(31.416 × 10⁻⁷ HA/m)

N = 0.0369 × 10⁷ turns

N = 0.0369 × 10⁷ turns

N = 3.69 × 10⁵ turns

length of wire l = NC where N = number of turns and C = circumference of tube = πD where D = diameter of tube = 8.0 cm = 0.08 m

So, l = NC

= NπD

= πND

= π × 3.69 × 10⁵ turns × 0.08 m

= 0.9274 × 10⁵ m = 9.274 × 10⁴ m

= 92.74 × 10³ m

= 92.74 km

≅ 92.7 km

The total legnth of the wire to built a solenoid will be  92.7 km

What is solenoid?

A solenoid is a electromagnet in which the wires are wounded on the outer surface of the soft iron and then the current is passed so due to flow of the current the magnetic field generated around the wire.

Since the magnetic field due to a solenoid is given by

B = μ₀Ni/L

where

μ₀ = permeability of free space = 4π × 10⁻⁷ H/m,

N = number of turns of solenoid,

L = length of cardboard tube = 58 cm = 0.58 m, ,

i = current in wire = 2.5 A and

l = length of wire.

Since B = 2.0 kG = 2.0 × 10³ G = 2.0 × 10³ × 10⁻⁴ T = 2.0 × 10⁻¹ T = 0.2 T

So, substituting the variables into the equation, we have

[tex]N=\dfrac{BL}{\mu_oI}[/tex]

[tex]N=\dfrac{0.2\times 0.58}{4\pi\times 10^{-7} \times 2.5}[/tex]

[tex]N=\dfrac{1.16}{31.416\times 10^{-7}}[/tex]

N = 0.0369 × 10⁷ turns

N = 0.0369 × 10⁷ turns

N = 3.69 × 10⁵ turns

length of wire l = NC where N = number of turns and C = circumference of tube = πD where D = diameter of tube = 8.0 cm = 0.08 m

So, l = NC

= NπD

= πND

= π × 3.69 × 10⁵ turns × 0.08 m

= 0.9274 × 10⁵ m = 9.274 × 10⁴ m

= 92.74 × 10³ m

= 92.74 km

≅ 92.7 km

Hence the total legnth of the wire to built a solenoid will be  92.7 km

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When carbon bonds with oxygen,
what
gas is formed?
When carbon bonds with oxygen, what gas is formed?

Answers

Answer:

Carbon dioxide

Explination:

I remember it from biology.

I hope this helps ^-^

In a chemical reaction, carbon combines with oxygen to form carbon dioxide gas.

What is a chemical reaction?

A chemical reaction can be defined as a process that causes the chemical transformation of one chemical substance to another. The chemical reactions accompany chemical changes that involve the rearrangement of electrons in the forming and breaking of bonds between atoms, with no change to the nuclei.

The substances which are primarily involved in a reaction are known as reactants or reagents. Chemical reactions are commonly characterized by a chemical change, and yield products, which exhibit properties different from the reactants.

Chemical reactions take place at a characteristic rate of reaction at a given temperature, pressure, and chemical concentration. The rates increase with the increasing temperature of the reaction when more thermal energy is available to achieve the activation energy for breaking bonds between atoms.

The combustion reaction takes place when carbon combines with oxygen to produce carbon dioxide gas.

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A 1,571 kilogram car travelling at 129 kilometers per hour is driving down a highway. The driver suddenly realizes a large animal is standing stationary on the highway in the way of the car. The driver manages to release their foot off the accelerator peddle, but does not have time to hit the brake peddle. The car strikes the animal which gets stuck to the car hood. Immediately after the collision the car slows to 59 kilometers per hour. Given this information, accident investigators are able to determine the mass of the animal as what

Answers

Answer:

[tex]1863.9\ \text{kg}[/tex]

Explanation:

[tex]m_1[/tex] = Mass of car = 1571 kg

[tex]u_1[/tex] = Initial velocity of car = 129 km/h

[tex]u_2[/tex] = Initial velocity of the animal = 0

[tex]v[/tex] = Velocity of combined mass = 59 km/h

[tex]m_2[/tex] = Mass of the animal

As the momentum of the system is conserved we have

[tex]m_1u_1+m_2u_2=(m_1+m_2)v\\\Rightarrow \dfrac{m_1u_1+m_2u_2}{v}-m_1=m_2\\\Rightarrow m_2=\dfrac{1571\times 129+0}{59}-1571\\\Rightarrow m_2=1863.9\ \text{kg}[/tex]

The mass of the animal is [tex]1863.9\ \text{kg}[/tex].

what is Muscular system

Answers

muscular system is when you have. a strong body

You set a tuning fork into vibration at a frequency of 683 Hz and then drop it off the roof of the Physics building where the acceleration due to gravity is 9.80 m/s2. Determine how far the tuning fork has fallen when waves of frequency 657 Hz reach the release point

Answers

Answer:

The distance traveled by the tuning fork is 9.37 m

Explanation:

Given;

source frequency, [tex]f_s[/tex] = 683 Hz

observed frequency, [tex]f_o[/tex] = 657 Hz

The speed at which the tuning fork fell is calculated by applying Doppler effect formula;

[tex]f_o = f_s [\frac{v}{v + v_s} ][/tex]

where;

[tex]v[/tex] is speed of sound in air = 343 m/s

[tex]v_s[/tex] is the speed of the falling tuning fork

[tex]657 = 683[\frac{343}{343 + v_s} ]\\\\\frac{657}{683} = \frac{343}{343 + v_s}\\\\0.962 = \frac{343}{343 + v_s}\\\\0.962(343 + v_s) = 343\\\\343 + v_s = \frac{343}{0.962} \\\\343 + v_s = 356.55\\\\v_s = 356.55 - 343\\\\v_s = 13.55 \ m/s[/tex]

The distance traveled by the tuning fork is calculated by applying kinematic equation as follows;

[tex]v_s^2 = v_o^2 + 2gh[/tex]

where;

[tex]v_o[/tex] is the initial speed of the tuning fork = 0

g is acceleration due to gravity = 9.80 m/s²

[tex]v_s^2 = 0 + 2gh\\\\h = \frac{v_s^2}{2g} \\\\h = \frac{13.55^2 }{2\times 9.8} \\\\h = 9.37 \ m[/tex]

Therefore, the distance traveled by the tuning fork is 9.37 m

What is a cyclic behavior

Answers

Answer:

Uzi

Explanation:

When somebody comes to me I don’t have any

The scanning process and magnetic lenses used in a scanning electron microscope often results in fair to poor resolution and "fuzzy" images.
(A)True
(B)False

Answers

Answer:

(B)False is the answer.

Explanation:

*PLEASE HELP***
Which of the following technologies uses electromagnetic radiation with the
shortest wavelength?
O A. Wireless communications transmitter
O B. Infrared sensor on a DVD player
C. Microwave industrial drying equipment
O D. Compact fluorescent lightbulb

Answers

Answer:

A) wireless communications transmitter

Explanation:

Answer:

Compact fluorescent lightbulb

Explanation:

This is because it has the shortest wavelength

help plz fast :(((( need helpl

Answers

Answer:

True

Explanation:

I’m not 100% sure

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