A 7.80 g bullet has a speed of 620 m/s when it hits a target, causing the target to move 6.30 cm in the direction of the bullet's velocity before stopping. (a) Use work and energy considerations to find the average force (in N) that stops the bullet. (Enter the magnitude.) N (b) Assuming the force is constant, determine how much time elapses (in s) between the moment the bullet strikes the target and the moment it stops moving. s

Answers

Answer 1

Answer:

[tex]23796.19\ \text{N}[/tex]

[tex]0.0002032\ \text{s}[/tex]

Explanation:

F = Force

s = Displacement = 6.3 cm

m = Mass of bullet = 7.8 g

v = Velocity of bullet = 620 m/s

t = Time taken

Work done is given by

[tex]W=Fs[/tex]

Kinetic energy is given by

[tex]K=\dfrac{1}{2}mv^2[/tex]

Using work energy considerations we get

[tex]Fs=\dfrac{1}{2}mv^2\\\Rightarrow F=\dfrac{1}{2s}mv^2\\\Rightarrow F=\dfrac{1}{2\times 0.063}\times 7.8\times 10^{-3}\times 620^2\\\Rightarrow F=23796.19\ \text{N}[/tex]

The average force that stops the bullet is [tex]23796.19\ \text{N}[/tex].

Force is given by

[tex]F=m\dfrac{v-u}{t}\\\Rightarrow t=m\dfrac{v-u}{F}\\\Rightarrow t=7.8\times 10^{-3}\times \dfrac{620}{23796.19}\\\Rightarrow t=0.0002032\ \text{s}[/tex]

The time taken to stop the bullet is [tex]0.0002032\ \text{s}[/tex].


Related Questions

What us a magnetic domain?​

Answers

magnetic domain is a region within a magnetic material in which the magnetization is in a uniform direction. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction.

Physics gravity question, Please help

Answers

Answer: 2.7 x10^-4 N

Explanation: 6.674 ×10^-11 × 1000 x 1000 divided by 0.5 squared.

The surface of the sun has a temperature of about 5,800 Kelvin. What is the average kinetic energy of particles on the surface of the sun? Please show your work

Answers

Answer:

273.15

Explanation:

So that's three over two times 1.38 times ten to the minus twenty-three joules per Kelvin, times 5500 degrees Celsius, the surface of the sun converted into Kelvin by adding 273.15. This works out to 1.20 times ten to the minus nineteen joules. So that's the average kinetic energy of hydrogen atoms.

How do you label a bar graph of work compared with power?​

Answers

Answer:

You must label the horizontal axis with the names of the airlines and the vertical axis with the number of flights. The title must clearly state what data the bar chart is showing. With larger numbers, your scale may not go up by one.

Answer:

You must label the horizontal axis with the names of the airlines and the vertical axis with the number of flights. The title must clearly state what data the bar chart is showing. With larger numbers, your scale may not go up by one.

Explanation:

can you help me please? https://brainly.com/question/22653337

Which of the following would require the greatest number of calories?
a. heating 1 g of water from 10°C to 80°C
b. heating 10 g of water from 10°C to 40°C
c. heating 100 g of water from 10°C to 20°C
d. heating 1000 g of water from 10°C to 12°C

Answers

Answer:

D

Explanation:

You are boiling more grams for more time because the more water the longer it takes which requires more calories to burn it.

How does the amplitude of the wave change as you get farther from the speaker?

Answers

Answer:

The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases. ... As the amplitude of the sound wave increases, the intensity of the sound increases. Sounds with higher intensities are perceived to be louder.

What is the hottest planet in the milky way galaxy

Answers

Answer:

Venus

Explanation:

Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of m A = 17.0 kg and an initial velocity of v 0A = 8.00 m/s, due east. Object B, however has a mass of m B = 29.0 kg and an initial velocity of v 0B = 5.00 m/s, due north. Find the magnitude and direction of the total momentum of the two-object system after the collision.

Answers

Answer:

pf = 198.8 kg*m/s

θ = 46.8º N of E.

Explanation:

Since total momentum is conserved, and momentum is a vector, the components of the momentum along two axes perpendicular each other must be conserved too.If we call the positive x- axis to the W-E direction, and the positive y-axis to the S-N direction, we can write the following equation for the initial momentum along the x-axis:

       [tex]p_{ox} = p_{oAx} + p_{oBx} (1)[/tex]

We can do exactly the same for the initial momentum along the y-axis:

       [tex]p_{oy} = p_{oAy} + p_{oBy} (2)[/tex]

The final momentum along the x-axis, since the collision is inelastic and both objects stick together after the collision, can be written as follows:

       [tex]p_{fx} = (m_{A} + m_{B} ) * v_{fx} (3)[/tex]

We can repeat the process for the y-axis, as follows:

       [tex]p_{fy} = (m_{A} + m_{B} ) * v_{fy} (4)[/tex]

Since (1) is equal to (3), replacing for the givens, and since p₀Bₓ = 0, we can solve for vfₓ as follows:

       [tex]v_{fx} = \frac{p_{oAx}}{(m_{A}+ m_{B)}} = \frac{m_{A}*v_{oAx} }{(m_{A}+ m_{B)}} =\frac{17.0kg*8.00m/s}{46.0kg} = 2.96 m/s (5)[/tex]

In the same way, we can find the component of the final momentum along the y-axis, as follows:

       [tex]v_{fy} = \frac{p_{oBy}}{(m_{A}+ m_{B)}} = \frac{m_{B}*v_{oBy} }{(m_{A}+ m_{B)}} =\frac{29.0kg*5.00m/s}{46.0kg} = 3.15 m/s (6)[/tex]

With the values of vfx and vfy, we can find the magnitude of the final speed of the two-object system, applying the Pythagorean Theorem, as follows:

      [tex]v_{f} = \sqrt{v_{fx} ^{2} + v_{fy} ^{2}} = \sqrt{(2.96m/s)^{2} + (3.15m/s)^{2}} = 4.32 m/s (7)[/tex]

The magnitude of the final total momentum is just the product of the combined mass of both objects times the magnitude of the final speed:

       [tex]p_{f} = (m_{A} + m_{B})* v_{f} = 46 kg * 4.32 m/s = 198.8 kg*m/s (8)[/tex]

Finally, the angle that the final momentum vector makes with the positive x-axis, is the same that the final velocity vector makes with it.We can find this angle applying the definition of tangent of an angle, as follows:

       [tex]tg \theta = \frac{v_{fy}}{v_{fx}} = \frac{3.15 m/s}{2.96m/s} = 1.06 (9)[/tex]

       ⇒ θ = tg⁻¹ (1.06) = 46.8º N of E

A 12.0 V storage battery is connected to three
resistors, 4.75, 14.0 and 21.0, respectively. The resistors are joined in series.

(a)Calculate the equivalent resistance.
(b)What is the current in the circuit?
Answer in units of A.

Answers

(a).  The equivalent resistance of a series circuit is the SUM of the individual resistances in the circuit.

(4.75Ω + 15Ω + 21Ω )  =  39.75Ω

(b). Current = (voltage) / (resistance)

Current = (12 v) / (39.75Ω)

Current = 0.302 Amperes (rounded to the nearest MilliAmpere))

In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected. Consider such a velocity selector in a mass spectrometer with a 0.105 T magnetic field.
Part (a) What electric field strength, in volts per meter, is needed to select a speed of 3.8 × 106 m/s?
Part (b) What is the voltage, in kilovolts, between the plates if they are separated by 0.75 cm?

Answers

Answer:

a).[tex]$3.99 \times 10^5 \ v/m$[/tex]

b). 2.9925 kV

Explanation:

Given :

For mass spectrometer

The magnetic field = B

B = 0.105 T

a).  Given speed, v = [tex]$3.8 \times 10^6 \ m/s$[/tex]

We known

[tex]$\frac{E}{B}=v$[/tex]

∴ [tex]$E= 3.8 \times 10^6 \times 0.105$[/tex]

      [tex]$=3.99 \times 10^5 \ v/m$[/tex]

b). Now spectrometer, d = 0.75 cm

                                      [tex]$d=0.75 \times 10^{-2} \ m$[/tex]

We known

[tex]$E=\frac{V}{d}$[/tex]

[tex]$V = E\times d$[/tex]

[tex]$V = 3.99 \times 10^5 \times 0.75 \times 10^{-2}$[/tex]

[tex]$V = 2.9925 \times 10^3 \ V$[/tex]

   = 2.9925 kV

 

When a rocket is 4 kilometers high, it is moving vertically upward at a speed of 400 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing, as seen by an observer on the ground 5 kilometers from the launching pad

Answers

Answer:

The angle of elevation of the rocket is increasing at a rate of 48.780º per second.

Explanation:

Geometrically speaking, the distance between the rocket and the observer ([tex]r[/tex]), measured in kilometers, can be represented by a right triangle:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)

Where:

[tex]x[/tex] - Horizontal distance between the rocket and the observer, measured in kilometers.

[tex]y[/tex] - Vertical distance between the rocket and the observer, measured in kilometers.

The angle of elevation of the rocket ([tex]\theta[/tex]), measured in sexagesimal degrees, is defined by the following trigonometric relation:

[tex]\tan \theta = \frac{y}{x}[/tex] (2)

If we know that [tex]x = 5\,km[/tex], then the expression is:

[tex]\tan \theta = \frac{y}{5}[/tex]

And the rate of change of this angle is determined by derivatives:

[tex]\sec^{2}\theta \cdot \dot \theta = \frac{1}{5}\cdot \dot y[/tex]

[tex]\frac{\dot \theta}{\cos^{2}\theta} = \frac{\dot y}{5}[/tex]

[tex]\frac{\dot \theta\cdot (25+y^{2})}{25} = \frac{\dot y}{5}[/tex]

[tex]\dot \theta = \frac{5\cdot \dot y}{25+y^{2}}[/tex]

Where:

[tex]\dot \theta[/tex] - Rate of change of the angle of elevation, measured in sexagesimal degrees.

[tex]\dot y[/tex] - Vertical speed of the rocket, measured in kilometers per hour.

If we know that [tex]y = 4\,km[/tex] and [tex]\dot y = 400\,\frac{km}{h}[/tex], then the rate of change of the angle of elevation is:

[tex]\dot \theta = 48.780\,\frac{\circ}{s}[/tex]

The angle of elevation of the rocket is increasing at a rate of 48.780º per second.

Identify two technologies that can be used to find the locations of objects. Identify the type or types of waves each
technology uses.

Answers

GPS is a technology that finds objects and uses radio waves
X-rays use electromagnetic waves

Velocity tells us not only how fast something is going, but in what direction it is traveling.


True
False

Answers

Answer:

true

Explanation:

because I tride it

A physics student sits in a chair. The chair pushes up on the student's body. Identify the other force of the interaction force pair.

Answers

Answer:

The other force is the weight of the student.

Explanation:

With respect to Newton's third law of motion, for the student to sit and balance on the chair, there must be two equal and opposite forces involved. The student applies his/ her weight on the chair which acts downwards, while the chair applies an equal but opposite force to the weight of the student.

The force applied by the chair on the student's body is counter balanced by the student's weight. Note that, if the weight of the student is greater than the opposing force from the chair, the chair would collapse.

As dancers twirl faster and faster around their partners, they are demonstrating what type of energy?
A. Binding energy,
B. Nuclear energy,
C. Kinetic energy,

Answers

Your answer would be Kinetic energy

Help please, i am lost.

Answers

Answer:

nas wr hdrtuendnetyje because

Explanation:

Why are dominant alleles always shown as capital letters?​

Answers

Answer:

When writing a genotype, the dominant allele is usually represented by a capital letter, while the recessive allele has a lowercase letter.

Explanation:

Please mark me brainlest.

Answer:

Because in a punnett square, dominant alleles need to be differentiated from the recessive alleles, to do this, we write the dominant alleles as capital letters.

Explanation:

Compare and contrast Albert Einstein and Karl Popper regarding their views on the nature and philosophy of science. Use the key concepts of each to explain their views. Consider how they begin their accounts, the arguments they make to support their views, and their key conclusions.

Answers

Answer:

Well Albert Einstein is more smarter PERIOD

Explanation:

A student plans to determine the resistivity of a specific type of metal. To do this, the student will use wires constructed of the metal with known dimensions that are connected to a variable power source. The potential difference across and the current through each wire are measured and the resistance of each is calculated. The resistance is used to determine the resistivity. Which of the following should be kept constant to ensure that the resistivity values are consistent, and why?

a. The potential difference across the wires, because then only the currents will be different.
b. The currents in the wires, because then only the resistances will be different.
c. The lengths of the wires, because the resistivity changes with length.
d. The temperature of the wires, because resistivity changes with temperature.

Answers

Answer:

reviewing the different answers, the correct one is d

Explanation:

In the experiment to determine the resistivity of the wires, the student should use the relationship

         R = ρ L / A

         ρ = R A/L

in the statement they indicate that the difference that potential and current are measured, calculating the resistances from Ohm's law

         V = i R

          R = V / i

As resistivity is a property of the material that depends on the temperature, great care must be taken that the resistors do not change the temperature during the experiment, as this alters the resistivity value.

When reviewing the different answers, the correct one is d

PLEASE CLICK ON THIS IMAGE I NEED HELP

Answers

Answer:

rocks are vertical.

Explanation:

I'm so sorry if I'm wrong this is what I think

The definition of horizontal is
Parallel to the plane of the horizontal

4. A train starts its journey and accelerates at 5 ms 2. How long does it take for it to reach a velocity of 100 ms??

Answers

Answer:

20 seconds

Explanation:

20 seconds !!! Plug in and use a calculator on gooooglee

a system of 11 protons and 15 neutrons has a net charge of

Answers

I believe it is 11. Because there are no electrons you do not need to subtract anything.

Your teacher then challenges you to use the items in the envelope to create a model of a carbon-14 atom. Before you begin, you and your
group brainstorm ideas for creating your model. Your group suggests the following steps:
Step
Procedure
1
use 6 red circles for the nucleus of the atom
2
use 14 red circles for the nucleus of the atom
3
add 6 blue circles to the nucleus of the atom
4
add 8 blue circles to the nucleus of the atom
5
place 14 yellow circles around the nucleus of the atom
6
place 6 yellow circles around the nucleus of the atom
Exhibits
Which of the following steps should you follow to create a correct model of a Carbon-14 atom?
O A. steps 1,4,6
O B. steps 1, 3,5
o c. steps 2, 3, 6
O D. steps 2,4,5
O
08:11

Answers

Answer:

Look it up

Explanation:

We need to use 6 red circles as well as 8 blue circles to represent the 6 protons and 8 neutrons in the nucleus, after which we need to place 6 yellow circles around the nucleus to represent the 6 electrons in the atom. is required. Thus, the correct option is A.

How to create a Carbon-14 atom?

To make an accurate model of a carbon-14 atom, we need to follow the steps that represent the correct number of protons, neutrons, and electrons in a carbon-14 atom.

Carbon-14 has 6 protons and 8 neutrons, so we will use a total of 6 red and 8 blue circles around the nucleus which also has 6 electrons, so we need to put 6 yellow circles around the nucleus.

The correct steps to follow to create a model of a Carbon-14 atom are:

Step 1:  Use 6 red circles for the nucleus of the atom

Step 4: Add 8 blue circles to the nucleus of the atom

Step 6:  Place 6 yellow circles around the nucleus of the atom

Thus, the correct option is A.

Learn more about Carbon-14 atom, here:

brainly.com/question/30727793

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When you are driving on the freeway and following the car in front of you, how close is too close? Let's do an estimation.
1. Pick a car model (preferably the one you drive, but can also be any car of your dream), and find its stopping distance at highway speeds (you can usually find this type of data online).
2. Assuming that the car in front of you suddenly does a hard brake. For simplicity, assume that its braking performance is about the same as yours. Then also assume a reasonable amount of reaction time on your part (the time delay between seeing the brake lights lit up and applying your own brake). In order for you not to run into the car your are following, what's the closest distance you need to keep between the two cars?
3. Redo the same calculation if the vehicle in front of you is a typical big-rig truck. Find its braking data online.
4. There is a rule of thumb which says that you must stay one car length behind the car in front of you for every 10 mi/h of driving speed. From your calculation, does this rule make sense?

Answers

Answer:

1) v= 90km/h  d = 70 m,  2)  x₁ = v t_r,  x₁ = 6.25 m, 3) x₁=6.25 no change

4) x = 22 m

Explanation:

1) for the first part, you are asked to find the minimum safety distance with the vehicle in front

The internet is searched for the stopping distance for two typical speeds on the highway

v (km/ h)      v (m/s)      d (m)

90                  25           70

100                 27.78      84

the safe distance is this distance plus the distance traveled during the person's reaction time, which can be calculated with infirm movement

              v = x / t_r

               x₁ = v t_r

the average reaction time is t_r = 0.25s for a visual stimulus and t_r 0.17 for an auditory stimulus

therefore the safe distance is

              x_total = x₁ + d

2) The distance is the sum of the distance traveled in the reaction

              x₁ = v t_r

for v = 90 km / h

              x₁ = 25 0.25

              x₁ = 6.25 m

for v = 100 km / h

              x₁ = 27.78 0.25

              x₁ = 6.95 m

the total distance is

               x_total = x₁ + d

for v = 90 km / h

             x_total = 25 0.25 + 70

             x_total = 76.25 m

this is the distance until the cars stop and do not collide

3) the stopping distance of a truck is

   v = 90 km / h       d = 100 m

in this case we see that the braking distance is much higher,

the safe distance is given by the distance traveled during the reaction, as the truck brakes slower than the car this distance does not change

4) let's analyze the empirical rule: maintain the length of a car for each increase in speed of v = 10 m / h = 4.47 m / s

for the car case at v = 90km / h = 25 m / s

according to this rule we must this to

           x = 25 / 4.47 = 5.6 cars

each modern car is about 4 m long so the distance is

           x = 22 m

we see that this distance is much greater than the reaction  distance so it does not make much sense

Which of the following best describes the location of the
mantle?
A
Above the crust
B
Between the crust and the lithosphere
С
Between the crust and the core
D
Beneath the core

Answers

Answer:

The mantle exists above the crust of the earth

ANSWER SOON

3. Let's say we have 3 kg of iron at 100 C, and it touches a 15kg iron at 20 C. Explain what is going to happen in detail in terms of internal energy, temperature, and heat. (you can explain it with just words)

Answers

Answer:

one of the mjor effects of heat transfer is temperature change

Explanation:

simple answer

ASAP
If a cart is released with some initial
velocity, it will slowly come to a stop.
What happens to the energy of the cart's
motion?
If the cart is pulled along at a constant velocity, no acceleration, the energy of the carts motion is constant but the force pulling it adds energy continuously. Where does the extra energy go?

Answers

Answer:

A) Energy is dissipated into heat and sound energy due to Friction

B) The energy goes into heat and sound energy due to friction again, otherwise the cart would accelerate due to an unbalanced force. Therefore, we know there's friction, and the friction causes energy loss.

What is The first stage in cellular respiration, what cycle?

Answers

ANSWER:

What is The first stage in cellular respiration, what cycle?

- GLYCOLYSIS

In glycolysis, the beginning process of all types of cellular respiration, two molecules of ATP are used to attach 2 phosphate groups to a glucose molecule, which is broken down into 2 separate 3-carbon PGAL molecules. PGAL releases electrons and hydrogen ions to the electron carrier molecule NADP+.

What are the 4 stages of cellular respiration?It has four stages known as glycolysis, Link reaction, the Krebs cycle, and the electron transport chain. This produces ATP which supplies the energy that cells need to do work.

Joe has a mass of 110 kg. If Joe has to climb a 10 m ladder to get to the top of a chimney, how much work did do?

Answers

Answer - 1100 J

Work = Force x Distance

W = 110kg x 10 m

W = 1100 J

Plsss I want answer???

Answers

Answer:

s=136.89/2g meter

s=6.98 meter (correct to 3 sig.fig. taking g=9.81ms^-2)

Explanation:

u= + 11.7 ms^-1

a= - g ms^-2

At highest point: v=0ms^-1

v^2=u^2+2as

0=11.7^2+2(-g)s

s=136.89/2g meters

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Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.Let x be the number of months after today.(a) For each account, write an expression for the amount of money in the account after x months.Amount of money in Chau's account (In dollars) =Amount of money in Yoko's account (in dollars) = (b) Write an equation to show when the two accounts would have the same amount of money. Which non-price determinate is sometimes utilized by the government to decrease demandfor a product that is viewed as harmful to society?SubsidiesBRationingExcise taxesDConsumer boycotts Correct form of Ser/Estar in the blank. Will give brainliest! Find a kitchen safety video online. You can choose from such topics as knife safety, handling hot objects, or other topics. Share the video with the class, and explain why you think it is a good video. What does the video demonstrate about kitchen safety? Check My Work You have a current credit card balance of $450.00, which you are paying off so you can close the account No new purchases have been added this month, and interest is computed on the average daily balance method. The APR is 18%, and the minimum payment is 39. If you make the minimum payment this month, what will the new balance be on the Annie has two equal-sized pies. She served 5/8of the first one and 1.3 of the second one. What fraction shows the total amount of pie left? Which part of the brain acknowledges events and adds feeling-memory to the emotional process ? Canada has provinces and three territories. What must be happening to the forces of attraction between particles when a change of state occurs? (ab)(6a^5b)(-ab) simplified please help with this ASAP please Determine the slope of the line whose equation is 2x-3y=5 Please help, let me know which it is!! Thank you PLLLLLZZZZZ HHHELLP MEEEEEE Which choices BEST analyze how the lines "Let there be justice for all. Let there be peace for all. Let there be work, bread, water and salt for all. Let each know that for each the body, the mind and the soul have been freed to fulfill themselves," function in the argument? (Choose all that apply). A) These lines offer what people need both physically and spiritually to be most happy and free. B) These lines work to unite the country, offering the same benefits to all people in the country. C) These lines promise exact amounts of food and benefits that citizens can expect from the new government. D) These lines offer logical support and statistical justification for arguments made earlier in the speech. E) These lines reject the need for economic policy in the new government, instead offering a spirit only approach. 1 (2/9) divide 1 (5/6) complete the table by supplying the measure of inscribed angle and its intercepted arc helpChoose the clincher sentence that best restates the following topic sentence.There are many fun things a person can do to help the brain.A.One thing that could help the brain is taking at least two fun classes every year.B.By acting with purpose, a person really can use fun to help the brain.C.Fun can be overused, so you should be careful.D.Traveling to a new place is a fun thing that would help the brain. I need to know what kind of research project i can do with PTSD and smoking. I found four empirical studies that said PTSD has higher rates of smoking compared to those with no Ptsd or that only have trauma and not PTSD. but i need to do my own research experiment. does anyone have any idea what i can do related to this topic? for the life of me i can't think of one On hot sunny days or days with thin clouds, the temperature over the land is warmer than the temperature over the water. The warmer air rises and the cooler air moves over the land, producing sea breezes. This means that,A: Water takes longer to heat up than the landB: Soil warms up more slowly than the waterC: The air above the land becomes cool and risesD: Land takes longer to heat up tan the water