An automobile has a mass of 1500 kg. What is the minimum uncertainty in the velocity (in miles per hour) when its center of mass is located with an uncertainty no greater than 1 cm

Answers

Answer 1

Answer:

[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]

Explanation:

From the question we are told that

Mass of of automobile M= 1500 kg

Generally the equation of the uncertainty principle is  given by

[tex]\triangle p=\frac{h}{ \triangle x}[/tex]

[tex]\triangle p=\frac{1.054*10^-^3^4}{ 10^-^2}[/tex]

[tex]\triangle p=1.054*10^-^3^2[/tex]

Generally the uncertainty in velocity is mathematically given by

[tex]\triangle v=\frac{\traingle p}{m}[/tex]

[tex]\triangle v=\frac{1.054*10^-^3^2}{1500}[/tex]

[tex]\triangle v=7*10^-^3^6m/s[/tex]

Therefore the minimum uncertainty in the velocity (in miles per hour)

[tex]\triangle v=7*10^-^3^6*\frac{3600}{1609.3}[/tex]

[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]


Related Questions

Help please !

In sexual reproduction, why is fertilization necessary to produce an organism ?

1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent .

2. Fertilization is needed to make the cell bigger . A bigger cell leads to the development of an organism .

3. Fertilization allows an organism to reproduce asexually , making identical clones of itself.

4. Fertilization is needed so that the egg cell can obtain nutrients from the sperm cell. Without these nutrients , an organism cannot develop .

Answers

Answer:

1. Fertilization allows an organism to receive a complete set of chromosomes -one set each parent.

Explanation:

Block A of mass M is at rest and attached to the top of a spring. The block compresses the spring a distance d from its uncompressed length at equilibrium. Block B of mass 2M is released from rest at a height h above block A . The two blocks collide and stick together. Express all answers in terms of d , h , M , and physical constants, as appropriate.

Required:
a. Derive an expression for the spring constant k of the spring.
b. Derive an expression for the speed of block B just before it collides with block A.
c. Derive an expression for the speed of the blocks immediately after the collision.
d. Derive an expression for the maximum compression of the spring after the collision.
e. If the collision between the blocks was elastic, would the maximum compression of the spring be greater than, less than, or equal to that found in part (d)? Justify your answer.

Answers

Answer:

a)  k = Mg / d , b)   v = √2gh , c)  v_{f} = [tex]\frac{2}{3} \ \sqrt{2gh}[/tex],  d)   x² + 6d x - [tex]\frac{8}{3}[/tex] dh = 0

e)the spring must compress a greater distance.

Explanation:

a) when the block of mass M is placed on the spring, we have an equilibrium condition,

             ∑ F  = 0

             [tex]F_{e}[/tex]- W = 0

             k d = Mg

             k = Mg / d

b) let's use the concepts of energy to find the velocity of the block just before the collision

starting point. Position when released

          Em₀ = U = m g h

lowest point. Right at the point of shock

          [tex]Em_{f}[/tex] = K = ½ m v²2

as there is no friction, energy is conserved

          Em₀ = Em_{f}

          mg h = ½ m v²

          v = √2gh

         

c) The velocity of the two blocks after the collision, we define a system formed by the two blocks, in such a way that the forces during the collision are internal and the moment is conserved

initial instant. Just before the crash

          p₀ = 2M v + M 0

final instant. Just after the shock, before the spring compression begins

         p_{f} = (2M + M) v_{f}

 the moment is preserved

          p₀ = p_{f}

          2M v = 3M v_{f}

          v_{f} = ⅔ v

          v_{f} = [tex]\frac{2}{3} \ \sqrt{2gh}[/tex]

d) now we work with the joined system after the collision, let's use the concepts of energy

starting point. After shock, before beginning spring compression

        Em₀ = K = ½ (3M) [tex]v_{f}^2[/tex]

        Em₀ = 3/2 M (\frac{2}{3} \ \sqrt{2gh})²

        Em₀ = 4/3 M gh

final point. With the spring fully compressed

       Em_f = K_e + U = ½ k x² + (3M) g x

in this case we have taken the zero of gravitational potential energy at the point where the blocks collide, as there is no friction, the energy is conserved

         Em₀ = Em_f

        4/3 M g h = ½ k x² + 3M g x

        ½ k x² + 3Mg x - 4/3 Mgh = 0

we substitute the expression for k

         [tex]\frac{1}{2}[/tex] ([tex]\frac{Mg}{d}[/tex]) x² + 3Mg x - [tex]\frac{4}{3}[/tex] Mgh = 0

          [tex]\frac{x^{2} }{2d}[/tex] + 3 x - [tex]\frac{4}{3}[/tex]h = 0

to find the value of the spring compression, the second degree equation must be solved

          x² + 6d x - [tex]\frac{8}{3}[/tex] dh = 0

         x = [-6d ±[tex]\sqrt{(36 d^{2} - 4 \frac{8}{3} dh) }[/tex] ] / 2

         x = [-6d ± 6d [tex]\sqrt{ 1 - \frac{32}{3 \ 36} \ \frac{h}{d} }[/tex]  ]/2

         x = 3d ( -1±  [tex]\sqrt{ 1 - 0.296 \frac{h}{d} }[/tex]  )

e) If the collision elastic force would not lose any part of the kinetic energy during the collision, therefore the speed of the block of mass M would be much higher and therefore the spring must compress a greater distance.

2. A 2500 kg car is slowed down uniformly from an initial velocity of 20.0 m/s to
the north by a 6250 N braking force acting opposite the car's motion. Use the
impulse-momentum theorem to answer the following questions:
a. What is the car's velocity after 2.50 s?
b. How far does the car move during 2.50 s?
c. How long does it take the car to come to a complete stop?

Answers

Answer:

13.75m/s; 42.2m; 8s

Explanation:

(a) the car's velocity after 2.50 s is 13.75 m/s

(b) The distance traveled by the car is 42.18 m

(c)  the time taken for the car to come to complete stop is 8 s.

The given parameters;

mass of the car, m = 2500 kg

initial velocity of the car, u = 20 m/s

breaking applied on the car, f = 6250 N

The acceleration of the car is calculated as follows;

[tex]F = ma \\\\a = \frac{F}{m} = \frac{6250}{2500} = 2.5 \ m/s^2[/tex]

(a) Using impulse-momentum theorem, the car's velocity after 2.5 s is calculated as follows;

[tex]F = \frac{m(u-v)}{t} \\\\m(u-v) = Ft\\\\u-v = \frac{Ft}{m} \\\\v = u - \frac{Ft}{m} \\\\v = 20 - \frac{6250 \times 2.5}{2500} \\\\v = 13.75 \ m/s[/tex]

(b) The distance traveled by the car during the 2.5 s;

[tex]v^2 = u^2 - 2as\\\\2as = u^2 - v^2\\\\s = \frac{u^2 - v^2}{2a} \\\\s = \frac{20^2 - 13.75^2}{2\times 2.5} \\\\s = 42.18 \ m[/tex]

(c) The time taken for the car to come to a complete stop;

when the car stop's the final velocity, v = 0

v = u - at

0 = 20 - 2.5t

2.5t = 20

[tex]t = \frac{20}{2.5} \\\\t = 8 \ s[/tex]

Thus, the time taken for the car to come to complete stop is 8 s.

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Please could you help me. A race car travels along a straight length of track at 65 m/s. The race car and driver have a
combined mass of 580 kg. Calculate the total energy in the kinetic energy store of the car and
driver. Make sure you give the correct symbol for the unit. *

Answers

Answer:

1.23×10⁶ J

Explanation:

From the question given above, the following data were obtained:

Velocity (v) = 65 m/s

Mass (m) = 580 Kg

Kinetic energy (KE) =?

The kinetic energy can be obtained by using the following formula :

KE = ½mv²

Where:

KE => is the kinetic energy.

m => is the mass

v => is the velocity

With the above formula, we can obtain the kinetic energy as follow:

Velocity (v) = 65 m/s

Mass (m) = 580 Kg

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 580 × 65²

KE= 290 × 4225

KE = 1.23×10⁶ J

Thus, the kinetic energy is 1.23×10⁶ J

jack goes an average of 40 m/min. How far does he jog in 1.2 hours?

Answers

Answer:

2880 (m)

Explanation:

1. the formula of distance is: L=v*t, where L - the required distance; v - average velocity; t - elapsed time.

2. if t=1.2 hours, it means 72 minutes, then

3. L=40*72=2880 m.

PLEASE ITS AN Emergency IF ITS RIGHT I WILL GIVE BRAINLIEST

Answers

Answer:

all of those are pisitions

Explanation:

It is not possible to convert work entirely into heat. It is impossible to transfer heat from a cooler to a hotter body. The second law of thermodynamics is a consequence of the first law of thermodynamics. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one to a hot one, depending on whether or not the process is reversible or irreversible. All of these statements are false.

Answers

Complete Question:

Which one of the following is a

true statement?

Group of answer choices.

A) The second law of thermodynamics is a consequence of the first law of thermodynamics.

B) It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one

to a hot one, depending on whether or not the process is reversible or irreversible.

C) It is not possible to convert work entirely into heat.

D) It is impossible to transfer heat from a cooler to a hotter body.

E) All of these statements are false.

Answer:

E) All of these statements are false.

Explanation:

All of the following statements are false;

I. The second law of thermodynamics is a consequence of the first law of thermodynamics. The second law of thermodynamics is about a physical quantity known as entropy while the first law of thermodynamics states that energy cannot be created or destroyed but can only be transformed from one form to another.

II. It is possible for heat to flow spontaneously from a hot body to a cold one or from a cold one

to a hot one, depending on whether or not the process is reversible or irreversible. According to the second law of thermodynamics this is false due to the entropy.

III. It is not possible to convert work entirely into heat. It is possible to completely convert work into heat because it involves transferring energy.

IV. It is impossible to transfer heat from a cooler to a hotter body.

Which items in this image are electrically conductive?
Check all that apply
the power lines themselves
the wooden pole that supports the lines
the rubber soles on the worker's boots
the metal tools the worker uses
the wooden ladder leaning against the lines

Answers

all except the rubber boots.

The answers should be The power lines themselves and The metal tools the worker uses (the 1st and 4th choices).

(For anyone curious, the image I attached to this answer is the image given for this problem.)

Gravity does 207 N of work when a 45 N object falls to the
ground. From what height does the object fall?

Answers

Answer: 4.6

Explanation:

Answer:

4.6

Explanation:

A working fluid enters a steady flow system with a velocity of 30m/s and leaves at

140m/s. The mass flow rate is 9 kg/s. The properties of the fluid entry are 13.8 bar,

0.122 m3

/kg, and internal energy 42.2 kJ/kg, and exit properties are 1.035 bar, 0.805

m3

/kg and internal energy 208 kJ/kg. Determine the work transfer in kW from the

system​

Answers

Answer:

Pretty sure it’s A

Explanation:

Would ike brainliest

If you Blow up a balloon, will the composition of Air inside the balloon changes? Why? Why not?

Answers

Answer:

it change by the pressure of the air and how its pulling the elastic even more

Explanation:

therefore it changes shape and has more differences than before sometimes the colour of it will go lighter if a lot of air and darker if not a lot


A person should be able to find all the answers to their science questions in the text
book.
True
False

Answers

True is the answer because it’s a Sience book

It is a false statement that a person should be able to find all the answers to their science questions in the text because there are billions of scientific questions and it is almost impossible for any kind of textbook to contain all the answers.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals.

The idea that someone should be able to find all the answers to their scientific inquiries in the text is untrue since there are countless unanswered scientific questions, making it nearly impossible for any textbook to provide them all.

Thus, the statement is false.

Learn more about the science here, refer to the link ;

https://brainly.com/question/18186842

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Convert 75.170 seconds into hours.

Answers

Answer:0.02088056

Explanation:

75.15mins i converted it for you

What do scientists know about the future of the universe?
what dark matter is made of
why the expansion of the universe is accelerating
that stars will eventually burn out causing the universe to become cold and dark
that galaxies spin much slower than they should based on visible matter

Answers

Answer:

B. Why the expansion of the universe is accelerating

Explanation:

possibly pretty sure if not right then the answer is A. What dark matter is made of hope this helps please mark brainiest only answer plz

Why the expansion of the universe is accelerating is what scientists know

about the future of the universe.

Scientists have observed that radiation emitted by the galaxies have shifted

towards the red end of the electromagnetic spectrum. This means that there

has been an increase in the wavelength for this to occur.

This tells us that the universe is expanding which was why the wavelength

of the emission spectra experienced a shift or stretch.

Read more on https://brainly.com/question/9981218

What is the most common frame of reference used by humans

Answers

Answer:

All measurements of motion will be compared to a frame of reference. Therefore, the most commonly used frame of reference is Earth itself, even though it moves.

Explanation:

What substances cannot be separated by steam distillation?

Answers

Oil cannot be separated

Why could it be argued that the respiratory system is most critical to sustaining life?

Answers

Explanation:

Energy is the most important ingredient for life. Organisms use energy in diverse ways. Scientifically, energy is defined as the ability to do work. Without this ability, organisms would not exist.

So, the most important process is one that can furnish the body with energy.

The respiratory system happens to be the one that furnishes the body with energy. During respiration, the energy needs of the body is met by series of processes. Oxygen is taken in and use to liberate calories from chemical substances packed with energy. So, without respiration, the bodily energy demands will not be met.

Type your answers to these 4 questions in the submission area.
1. What do you think a plate boundary is?
2. What is an earthquake?
3. What happens during an earthquake?
4. What do you think about the plates that make up Earth’s outer layer?

Answers

1)the edges where two plates meet are plate boundaries.

2)a sudden slip on a fault triggers an earthquake as stress in the edge overcomes the tension that releases energy into waves that move through the surface of the earth and cause a shake.

3)motion of the ground, aftershocks, shuddering, trembling, wobbling, crashing, falling, breaking, and more

4) the outer layer of Earth is the crust (lithosphere) which is made up of hot molten rock and granite.

A diode laser emits a wavelength of 987 nm. All of its output energy is absorbed in a detector that measures a total energy of 0.52 J over a period of 32 s. How many photons per second are being emitted by the laser?

Answers

Answer:

8.04 × 10¹⁶ photons per second

Explanation:

First, we calculate the energy per photon from E = hc/λ where h = Planck's constant = 6.63 × 10⁻³⁴ Js c = speed of light = 3 × 10⁸ m/s and λ = wavelength of laser = 987 nm = 987 × 10⁻⁹ m = 9.87 × 10⁻⁷ m

So, E = hc/λ = 6.63 × 10⁻³⁴ Js × 3 × 10⁸ m/s/9.87 × 10⁻⁷ m = 19.89/9.87 × 10⁻¹⁹ J = 2.02 × 10⁻¹⁹ J per photon.

Since we have a total of 0.52 J over a period of 32 s, the output power is 0.52 J/32 s = 0.0163 J/s.

Thus the total number of photons per second is thus in output power/energy per photon = 0.0163 J/s ÷ 2.02 × 10⁻¹⁹ J per photon

= 8.04 × 10¹⁶ photons per second

Humans have three types of cone cells in their eyes, which are responsible for color vision. Each type absorbs a certain part of the visible spectrum. Suppose a particular cone cell absorbs light with a wavelength of . Calculate the frequency of this light.

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete because of the absence/omission of the wavelength but the completed question is attached below.

The formula for frequency is f = c/λ

where f is the frequency (unknown)

c is the speed of light (3.0 × 10⁸ m/s)

λ is the wavelength (599 nm)

f = (3 × 10⁸) ÷ 599

f = 500834.73 Hz or 5 × 10⁵ Hz

A space expedition discovers a planetary system consisting of a massive star and several spherical planets. The planets all have the same uniform mass density. The orbit of each planet is circular. In the observed planetary system, Planet A orbits the central star at the distance of 2R and takes T hours to complete one revolution around the star. Planet B orbits the central star at the distance of R. Which of the following expressions is correct for the number of hours it takes Planet B to complete one revolution around the star?

a. 1/√8T
b. 1/2T
c. 1/√4T
d. 2T
e. √8T

Answers

Answer:

[tex]T_B=(\frac{T}{\sqrt{8}})[/tex]

Explanation:

Distance of Planet A from Central star 2R

Time of Resolution T_A=T

Distance of Planet B from orbit star R

Generally the equation for Kepler's law of periods is given by

   [tex]\frac{T_A^2}{T_B^2}=\frac{R_A^3}{R_B^3}[/tex]

   [tex]T_B^2=T_A^2 \frac{R_A^3}{R_B^3}[/tex]

  [tex]T_B^2=T_A^2 (\frac{R_A}{R_B})^3[/tex]

  [tex]T_B^2=T^2 (\frac{R}{2R})^3[/tex]

  [tex]T_B^2=T^2 (\frac{1}{R})^3[/tex]

  [tex]T_B^2=(\frac{T^2}{8})[/tex]

Therefore the following expressions is correct for the number of hours it takes Planet B to complete one revolution around the star

  [tex]T_B=(\frac{T}{\sqrt{8}})[/tex]

The number of hours that it takes for planet B to complete one revolution around the star is : ( A ) (  [tex]\frac{T}{\sqrt{8} }[/tex] )

Given data :

Distance of Planet A from massive star = 2R

Time taken by Planet A to orbit the massive star = Tₐ

Distance of Planet B from massive star = R

Time taken by Planet B to orbit the massive star = T[tex]_{b}[/tex]

To determine the proper expression exhibiting the correct number of hours it will take for Planet B to complete a revolution

we will apply Kepler's law of periods

[tex]\frac{T^{2} _{a} }{T_{b} ^{2} } = \frac{R_{a} ^{3} }{R_{b} ^{3} }[/tex]

∴ [tex]T_{b} ^{2} = T_{a} ^{2} ( \frac{R_{a} }{R_{b} } )^{3}[/tex]

[tex]T_{b} ^{2} = T^2 ( 1/R)^3[/tex]

Hence T[tex]_{b}[/tex] = (  [tex]\frac{T}{\sqrt{8} }[/tex] )

There we can conclude that The number of hours that it takes for planet B to complete one revolution around the star is : ( A )  (  [tex]\frac{T}{\sqrt{8} }[/tex] )

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Let's say you got tired and you are now pushing with a force of 36 N. Find the acceleration of the box.

Answers

This question is incomplete, the complete question is;

A 13 kg box rests on the flat surface. The coefficient of static friction and coefficient of kinetic friction is μ_s = 0.450 and μ_k = 0.380 respectively.

Let's say you got tired and you are now pushing with a force of 36 N. Find the acceleration of the box.

Answer: the acceleration of the box is 0.9548 m/s²    {backward}

Explanation:

Given that;

mass m = 13 kg

pushing the box with a force of 36 N

the acceleration of the box = ?

ones the box starts moving, kinetic frictional force starts acting.

so

f_k = μ_k × m × g

we substitute

f_k = 0.380 × 13 × 9.8

f_k = 48.412 N

force needed to keep it in motion is 48.412 N

so

Acceleration = Net Force / mass

Acceleration = (48.412 N - 36 N) / 13

Acceleration = 12.412 / 13

Acceleration = 0.9548 m/s²    {backward}

Therefore, the acceleration of the box is 0.9548 m/s²   {backward}

How is a physical change different to a chemical change. Give an example of a physical change.​

Answers

In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not. However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed

Answer:

Physical change is different to chemical change by that physical changes can be reversed, meaning it can be turned back to its original form, but chemical changes CANNOT! Chemical change is something that creates a NEW substances that cannot be reversed. It creates new forms.

Explanation:

Example of chemical change: Change in texture- fried egg. It cannot be turned back to its original form after it is fried.

I truly hope this is helpful!!

If so, please, please mark brainliest, i haven’t got any!

Thanks! Have  wonderful day! :)

What is the unit vector along ⃗ = hat − hat + hat ?​

Answers

Answer:

1 hat

Explanation:

why is there a difference between potential and kinetic energy?

Answers

Potential energy is stored energy because it has the potential to do something which laters turns into kinetic energy which is the moving energy.

A small lead ball, attached to a 1.10-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.3 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise

Answers

Answer:

1.84 m

Explanation:

For the small lead ball to be balanced at the tip of the vertical circle just before it is released, the reaction force , N equal the weight of the lead ball W + the centripetal force, F. This normal reaction ,N also equals the tension T in the string.

So, T = mg + mrω² = ma where m = mass of small lead ball, g = acceleration due to gravity = 9.8 m/s², r = length of rope = 1.10 m and ω = angular speed of lead ball = 3 rev/s = 3 × 2π rad/s = 6π rad/s = 18.85 rad/s and a = acceleration of normal force. So,

a = g + rω²

= 9.8 m/s² + 1.10 m × (18.85 rad/s)²

= 9.8 m/s² + 390.85 m/s²

= 400.65 m/s²

Now, using v² = u² + 2a(h₂ - h₁)  where u = initial velocity of ball = rω = 1.10 m × 18.85 rad/s = 20.74 m/s, v = final velocity of ball at maximum height = 0 m/s (since the ball is stationary at maximum height), a = acceleration of small lead ball = -400.65 m/s² (negative since it is in the downward direction of the tension), h₁ = initial position of lead ball above the ground = 1.3 m and h₂ = final position of lead ball above the ground = unknown.

v² = u² + 2a(h₂ - h₁)

So, v² - u² = 2a(h₂ - h₁)

h₂ - h₁ =  (v² - u²)/2a

h₂ =  h₁ + (v² - u²)/2a

substituting the values of the variables into the equation, we have

h₂ =  1.3 m + ((0 m/s)² - (20.74 m/s)²)/2(-400.65 m/s²)

h₂ =  1.3 m + [-430.15 (m/s)²]/-801.3 m/s²

h₂ =  1.3 m + 0.54 m

h₂ =  1.84 m

A 700N mountain climber scales a 100m cliff. How much work is done by the mountain climber?

Answers

Answer:

70000N/m

Explanation:

Work is Force multiplied by Displacement.

Multiply 700 by 100 and you get 70000N/m

*Note: N is newtons and m is meters.

Answer: 7000N/m

Explanation: 700 x 100 = 7000

A point charge (q1) has a magnitude of 3.0 x10-6 C. A second charge (q2) has a magnitude of -1.5 x10-6 C and is located 0.12 m from the first charge. Determine the electrostatic force each charge exerts on the other.

Answers

Answer:2.81 N

Explanation:

Given

[tex]q_1=3\times 10^{-6}\ C\\q_2=-1.5\times 10^{-6}\ C[/tex]

distance between them r=0.12 m

Electrostatic force is [tex]F=\frac{kq_1q_2}{r^2}[/tex]

Putting values

[tex]F=\dfrac{9\times 10^9\times (3\times 10^{-6})\times (-1.5\times 10^{-6})}{0.12^2}\\F=2.81\ N[/tex]

Certain neutron stars (extremely dense stars) are believed to be rotating at about 1 rev/s. If such a star has a radius of 15 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation

Answers

Answer:

1.9981 * 10^24 Kg

Explanation:

Given that

R = 15 * 10^3

ω = 1 rev/s = 2π rad/s

From;

g =GM/R^2  - Rω^2

If g = 0

M = R ^3ω^2/G

M = (15 * 10^3)^3 * (2π)^2/6.67 * 10^-11

M = 1.9981 * 10^24 Kg

An object with velocity 141 ft/s has a kinetic energy of 1558.71 ft∙lbf, on a planet whose gravity is 31.5 ft/s2. What is its mass in pounds

Answers

Answer:

The mass of the object is 5.045 lbm.

Explanation:

Given;

kinetic energy of the object, K.E = 1558.71 ft.lbf

velocity of the object, V = 141 ft/s

The kinetic energy of the object is calculated as;

[tex]K.E = \frac{1}{2} mV^2\\\\mV^2 = 2K.E\\\\m = \frac{2K.E}{V^2} \\\\1 \ lbf = 32.174 \ lbm.ft/s^2\\\\m = \frac{2 \ \times \ 1558.71 \ ft.lbf \ \times \ 32.174 \ lbm.ft/s^2 }{(141 \ ft/s)2 \ \ \times \ \ \ \ 1 \ lbf\ }[/tex]

[tex]m = \frac{(2 \ \times \ 1558.71 \ \times \ 32.174) \ lbm.ft^2/s^2 }{(141 )^2\ ft^2/s^2 }\\\\m = \frac{(2 \ \times \ 1558.71 \ \times \ 32.174) \ lbm }{(141 )^2 }\\\\m = 5.045 \ lbm[/tex]

Therefore, the mass of the object is 5.045 lbm.

Other Questions
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