The Starship Enterprise returns from warp drive to ordinary space with a forward speed of 54 km/s . To the crew's great surprise, a Klingon ship is 110 km directly ahead, traveling in the same direction at a mere 22 km/s. Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 3.4 s. The Enterprise's computers react instantly to brake the ship. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship?

Answers

Answer 1

Answer:

The acceleration will be "-5.12 km/s²".

Explanation:

The given values are:

This might be defined as a continuous inanimate object at either the speed between such organization as well as the Klingon boat (54 - 22) km/s.  

The values given in the question are:

= 110 km

Final velocity will be:

= 0

By using to the third equation of motion, we get

⇒ [tex]v^2=u^2+2as[/tex]

     [tex]0=(54-22)^2+2\times a\times 100[/tex]

     [tex]0=(32)^2+2\times a\times 100[/tex]

     [tex]0=1024+2\times a\times 100[/tex]

     [tex]0=1024+200a[/tex]

     [tex]-1024=200a[/tex]

             [tex]a=-\frac{1024}{200}[/tex]

                [tex]=-5.12 \ km/s^2[/tex]


Related Questions

At which location would a bowling ball have the greatest weight?

Answers

when you are rolling it

A long, straight wire lies along the zz-axis and carries a 3.90-AA current in the z z-direction. Find the magnetic field (magnitude and direction) produced at the following points by a 0.600 mmmm segment of the wire centered at the origin.

Answers

The question is incomplete. The complete question is :

A long, straight wire lies along the z-axis and carries a 3.90-A current in the + z-direction. Find the magnetic field (magnitude and direction) produced at the following points by a 0.600 mm segment of the wire centered at the origin.

A) x=2.00m,y=0, z=0

Bx,By,Bz = ? T

Enter your answers numerically separated by commas.

B) x=0, y=2.00m, z=0

C) x=2.00m, y=2.00m, z=0

D) x=0, y=0, z=2.00m

Solution :

The expression of the magnetic field using the Biot Savart's law is given by :

[tex]$d \vec B=\frac{\mu_0 I\vec{dl} \times \vec r}{4 \pi r^3}$[/tex]

a). The position vector is on the positive x direction.

[tex]$\vec r = (2 \ m) \ \hat i$[/tex]

[tex]$|r| = 2 \ m$[/tex]

The magnetic field is  

[tex]$d \vec B=\frac{\mu_0 I\vec{dl} \times \vec r}{4 \pi r^3}$[/tex]

[tex]$d \vec B=\frac{4 \pi \times 10^{-7} \times 3.9 \times 0.6 \times 10^{-3} \times\hat k \times (2 ) \hat i }{4 \pi \times (2)^3}$[/tex]

[tex]$d \vec B=(5.85 \times 10^{-11} \ T)\hat j$[/tex]

The magnetic field is   [tex]$(0, \ 5.85 \times 10^{-11} \ T, \ 0).$[/tex]

b). The position vector is in the positive y-direction.

[tex]$\vec r = (2 \ m) \ \hat j$[/tex]

[tex]$|r| = 2 \ m$[/tex]

The magnetic field is

[tex]$d \vec B=\frac{\mu_0 I\vec{dl} \times \vec r}{4 \pi r^3}$[/tex]

[tex]$d \vec B=\frac{4 \pi \times 10^{-7} \times 3.9 \times 0.6 \times 10^{-3} \times\hat k \times (2 ) \hat j }{4 \pi \times (2)^3}$[/tex]

[tex]$d \vec B=(5.85 \times 10^{-11} \ T)(-\hat{i})$[/tex]

The magnetic field is   [tex]$(- 5.85 \times 10^{-11} \ T, \ 0, \ 0).$[/tex]

c). The position vector is :

[tex]$\vec r = (2)\hat i + (2)\hat j$[/tex]

[tex]$|\vec r| = \sqrt{(2)^2+(2)^2}$[/tex]

   [tex]$=2.828 \ m$[/tex]

The magnetic field is

[tex]$d \vec B=\frac{\mu_0 I\vec{dl} \times \vec r}{4 \pi r^3}$[/tex]

[tex]$d \vec B=\frac{4 \pi \times 10^{-7} \times 3.9 \times 0.6 \times 10^{-3} \times\hat k \times ((2)\hat i + (2) \hat j) }{4 \pi \times (2.828)^3}$[/tex]

   [tex]$=(4.13\times 10^{-11})\hat j+(4.13\times 10^{-11})(-\hat i)$[/tex]

The magnitude of the magnetic field is :

[tex]$|d\vec B|=\sqrt{(4.13\times 10^{-11})^2+(4.13\times 10^{-11})^2}$[/tex]

       [tex]$=5.84 \times 10^{-11} \ T$[/tex]

Therefore, the magnetic field is [tex]$(-4.13 \times 10^{-11}\ T, \ 4.13 \times 10^{-11}\ T, \ 0 )$[/tex]

d).  The position vector is in the positive y-direction.

[tex]$\vec r = (2 \ m) \ \hat k$[/tex]

[tex]$|r| = 2 \ m$[/tex]

The magnetic field is

[tex]$d \vec B=\frac{\mu_0 I\vec{dl} \times \vec r}{4 \pi r^3}$[/tex]

[tex]$d \vec B=\frac{4 \pi \times 10^{-7} \times 3.9 \times 0.6 \times 10^{-3} \times\hat k \times (2 ) \hat k }{4 \pi \times (2)^3}$[/tex]

   = 0 T

The magnetic field is (0, 0, 0)

A box attached to a spring is being pulled across a flat frictionless surface. The spring constant is 45 N/m, the box is accelerating at
1.3 m/s2, and the spring is stretched by 0.88 m. What is the mass of the box?
26 kg
O 38 kg
30 kg
O 33 kg
Plzzzzz help

Answers

Answer:

Mass = 30.46 kg

Explanation:

Given the following data;

Spring constant = 45 N/m

Acceleration = 1.3 m/s²

Extension = 0.88 m

To find the mass of the box;

First of all, we would determine the force acting on the spring.

Force = spring constant * extension

Force = 45 * 0.88

Force = 39.6 N

Next, we find the mass using Newton's second equation of motion.

Force = mass * acceleration

39.6 = mass * 1.3

Mass = 39.6/1.3

Mass = 30.46 kg

A proton is accelerated from rest through a potential difference V0 and gains a speed v0. If it were accelerated instead through a potential difference of 3V0, what speed would it gain? Group of answer choices

Answers

Answer:

[tex]v_{0,new} = v0\sqrt{}2[/tex]

Explanation:

Initial work done on the proton is given by, [tex]\DeltaW0 = q V_o[/tex]

we know that, [tex]\DeltaW = \DeltaK.E[/tex]

[tex]qV0 = (1/2) m v_0^2[/tex]

[tex]v_0 = \sqrt{}2 q V_0 / m[/tex]                                                        { eq.1 }

If it were accelerated instead through a potential difference of 2V0, then it would gain a speed will be given as :

using the above formula, we have

[tex]v_{0,new} = \sqrt{}2 q (2V0) / m[/tex]    

[tex]v_{0,new} = \sqrt{}4 q V0 / m[/tex]    

[tex]v_{0,new} = v0\sqrt{}2[/tex]

a body thrown vertically upwards from grounf with inital vel 40m/s then time taken by it to reach max hieght is?

Answers

Answer:

t = 4.08 s

Explanation:

if the body is thrown upward, it has negative gravity. Knowing through the International System that the earth's gravity is 9.8 m/s²

Data:

Vo = 40 m/sg = -9.8 m/s²t = ?

Use formula:

[tex]\boxed{\bold{t=\frac{-(V_{0})}{g}}}[/tex]

Replace and solve:

[tex]\boxed{\bold{t=\frac{-(40\frac{m}{s})}{-9.8\frac{m}{s^{2}}}}}[/tex][tex]\boxed{\boxed{\bold{t=4.08\ s}}}[/tex]

Time taken by it to reach max height is 4.08 seconds.

Greetings.

Iron is a solid phase of iron still unknown to science. The only difference between it and ordinary iron is that Iron forms a crystal with an fcc unit cell and a lattice constant . Calculate the density of Iron.

Answers

The question is incomplete. The complete question is :

Iron β is a solid phase of iron still unknown to science. The only difference between it and ordinary iron is that Iron β forms a crystal with an fcc unit cell and a lattice constant, a = 0.352 nm. Calculate the density of Iron β.

Solution :

The density is given by :

[tex]$\rho = \frac{ZM}{a^3N_0} \ \ g/cm^3$[/tex]         ..................(i)

Here, Z = number of atoms in a unit cell

         M = atomic mass

         [tex]$N_0$[/tex] = Avogadro's number = [tex]$6.022 \times 10^{23}$[/tex]

          a = edge length or the lattice constant

Now for FCC lattice, the number of atoms in a unit cell is 4.

So, Z = 4

Atomic mass of iron, M = 55.84 g/ mole

Given a  = 0.352 nm = [tex]$3.52 \times 10^{-8}$[/tex] cm

From (i),

[tex]$\rho = \frac{ZM}{a^3N_0} $[/tex]      

[tex]$\rho = \frac{4 \times 55.84}{(3.52 \times 10^{-8})^3 \times 6.022 \times 10^{23}} $[/tex]

  [tex]$= 8.51 \ \ g \ cm ^{-3}$[/tex]

Therefore, the density of Iron β is [tex]$ 8.51 \ \ g \ cm ^{-3}$[/tex].

The human eye has two lenses.

O true
O False

Answers

Answer:

true its truedjjs sjsnsns

True I love you and I’m not going on a trip with

You have to run 2.2 miles in track. How far is that in feet? There are 5280 feet in 1 mile

Answers

Answer:

[tex]11616ft^{2}[/tex] or 11616

Explanation:

Since there are 5280 feet in 1 mile

you do 2.2 × 5280

2.2 × 5280 = 11616

what do you know about Russia?​

Answers

Answer:

Russia is the largest country in the world covering more than 6.6 million square miles. ... Russia also spreads across two continents, covering a portion of Eastern Europe that borders the Ural Mountains. 4. The country's official name is the Russian Federation.

Answer:

10 Things to Know About Russia

The world's largest country has the longest railway, second-largest art museum in the world and is home to many billionaires.

Russia is the world's largest nation with a rich history and several dozen ethnic groups. Its history is dominated by invasions, monarchies and a the authoritarian 20th-century Soviet regime. Its current politicians are often at odds with Western values and clash with both Europe and the United States.

Here are 10 interesting facts about Russia.

1. Russia is the largest country in the world covering more than 6.6 million square miles.

2. It is located in the Northern Hemisphere and borders two oceans -- the Arctic Ocean and the North Pacific Ocean.

3. Russia also spreads across two continents, covering a portion of Eastern Europe that borders the Ural Mountains.

4. The country's official name is the Russian Federation.

5. The median age for Russia's population is 39.6 years old. There are about 140 million residents in the country as of 2017.

6. Russia's capital city Moscow is one of the wealthiest cities in the world by the number of billionaires. In 2018, the city reported 69 billionaires, after New York, Hong Kong and San Francisco.

7. Also in Moscow there is a restaurant staffed only with twins, called the Twin Stars.

8. The second-largest art museum in the world, the Hermitage, is located in Russia's former capital, Saint Petersburg. The museum has more than 3 million art pieces.

9. The deepest lake in the world (deeper than 5,000 feet), Lake Baikal, is located in Siberia.

10. The best known train route in Russia is the Trans-Siberian railway, the world's longest railway, connecting Moscow to Vladivostok. Yet there are several other scenic train routes that connect the capital to Beijing via Mongolia or Manchuria.

A red apple reflects ______
light and absorbs all other
colours.

Answers

A red apple reflects Red light and absorbs all other colours.

When a parachutist jumps from an airplane, he eventually reaches a constant speed, called the terminal speed. Once he has reached terminal speed Group of answer choices his acceleration is equal to g. the force of air drag on him is equal to zero. the force of air drag on him is equal to g. his speed is equal to g. None of the above choices are correct the force of air drag on him is equal to his weight.

Answers

Answer:

None of the above forces on air drag on him is equal to his weight

Explanation:

In the velocity-time graph,the gradient of the curve where it is flatten shows the parachutist reaches the terminal velocity when it reaches terminal velocity which means the parachutist reaches constant velocity or speed,indicating that the acceleration of free fall(g) is zero.And according to the resultant force formula weight - air drag= mass*acceleration. so when accelerate is zero,resultant force is zero. And hence the equation will be like this: weight= air drag

PLS HELP ME. A 0.0780 kg lemming runs off a 5.36m high cliff at 4.84 m/s what is it potential energy when it lands?​

Answers

Answer:

p.e=0.078kg×1/2×5.36m

p.e=0.913j

Heellppppppppppp!!!!

Answers

Answer:

B, the internet serves to provide people with more insightful explanations on things that they have not experienced yet but want to find out more on.

What is the definition of power.

Answers

Answer:

What is the definition of power.

Explanation:

ability to do or act; capability of doing or accomplishing something.

Answer:

Hey buddy you are in college and I am in 8th standard so, There must be a difference between your level and mine. (:

Explanation:

Power is energy to exert force on objects, machinery use etc.

Sorry if not helpful  ):

Thermal energy is transferred by....... when objects touch? 1.thermoduction
2.convection
3.conduction​

Answers

Thermal energy is transferred by [tex]\sf\purple{conduction}[/tex] when objects touch.

3. Conduction

......................................................MORE:-The heat transfer that occurs between two objects when they touch each other is called [tex]\sf\pink{conduction}[/tex]. Heat is always transferred from the object at the higher temperature to the object with the lower temperature. ......................................................

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Please helppppppp I need it todayyyyyt!!!!!

Answers

C, an electric current

How much energy must be added to a 1-kg piece of granite with a specific
heat of 600 J/(kg°C) to increase its temperature from 20° C to 100° C?

A. 48,000 J
B. 4,800 J
C. 1,200,000 J
D. 60,000 J

Answers

Answer: 48,000 J

Explanation: i just did it

6. In an integrated circuit, each wafer is cut into sections, which
ООО
A. have multiple circuits and are placed in individual cases.
B. carry a single circuit and are placed in individual cases.
C. carry a single circuit and are placed all together in one case.
D. have multiple circuits and are placed all together in one case.
o

Answers

Answer:

B. carry a single circuit and are placed in individual cases.

Explanation:

An electric circuit can be defined as an interconnection of electrical components which creates a path for the flow of electric charge (electrons) due to a driving voltage.

Generally, an electric circuit consists of electrical components such as resistors, capacitors, battery, transistors, switches, inductors, etc.

Similarly, an integrated circuit (IC) also referred to as microchip can be defined as a semiconductor-based electronic component that comprises of many other tiny electronic components such as capacitors, resistors, transistors, and inductors.

Integrated circuits (ICs) are often used in virtually all modern electronic devices to carry out specific tasks or functions such as amplification, timer, oscillation, computer memory, microprocessor, etc.

A wafer can be defined as a thin slice of crystalline semiconductor such as silicon and germanium used typically for the construction of an integrated circuit.

In an integrated circuit, each wafer is cut into sections, which generally comprises of a single circuit that are placed in individual cases.

Additionally, a semiconductor can be defined as a crystalline solid substance that has its conductivity lying between that of a metal and an insulator, due to the effects of temperature or an addition of an impurity.

Answer: B got it right on the test just now

Explanation:

Select the statement that is true:



A. Food chains and food webs have nothing to do with each other.


B. A food web and a food chain are different names for the same thing.


C. A food chain is a part of a food web.


D. A food web is part of a food chain.

Answers

Answer:

C

Explanation:

A food chain outlines who eats whom. A food web is all of the food chains in an ecosystem.

Answer:

C

Hope this helped :D

Forces applied in the opposite direction are 

Added

Subtracted

Multiplied

Divided

Answers

Answer:

its number 2 one but i am not sure hope its right

g as measured from the earth, a spacecraft is moving at speed .80c toward a second spacecraft moving at speed .60c back toward the first spacecraft. What is the speed of the first spacecraft as viewed from the second spacecraft

Answers

Answer:

the speed of the first spacecraft as viewed from the second spacecraft is 0.95c

Explanation:

Given that;

speed of the first spacecraft from earth v[tex]_a[/tex] = 0.80c

speed of the second spacecraft from earth v[tex]_b[/tex] = -0.60 c

Using the formula for relative motion in relativistic mechanics

u' = ( v[tex]_a[/tex] - v[tex]_b[/tex] ) / ( 1 - (v[tex]_b[/tex]v[tex]_a[/tex] / c²) )

we substitute

u' = ( 0.80c - ( -0.60c)  ) / ( 1 - ( ( 0.80c × -0.60c) / c² ) )

u' = ( 0.80c + 0.60c ) /  ( 1 - ( -0.48c² / c² ) )

u' = 1.4c /  ( 1 - ( -0.48 ) )

u' = 1.4c /  ( 1 + 0.48 )

u' = 1.4c / 1.48

u' = 0.9459c ≈ 0.95c  { two decimal places }

Therefore, the speed of the first spacecraft as viewed from the second spacecraft is 0.95c

What is sieving? Give an example where this method is used. (2)​

Answers

Answer:

sieving is when you separate particles of different sizes.

Explanation:

separating sand mixtures

separating chaffs from local garri

What is the overall reaction potential for reaction below

Answers

Answer:

potential energy is a form of energy that a body possess to its position.Potential energy is equal to potential energy is equal to mass times acceleration due to gravity times height.

One product of radioactive decay is Alpha Radiation, which consists of Hydrogen nuclei composed of one proton and no neutrons.

a. True
b. False

Answers

Answer:

False

Explanation:

The alpha decay or alpha radiation is one type of radioactive decay. What is emitted is an alpha particle which is helium nucleus and not the hydrogen nucleus. The alpha particle is made up of two protons as well as two neutrons. This is the helium nucleus.

Therefore the right answer to this question is false.

Ashlyn threw a 1.6 kg ball. If she used 122 Joules of work to throw the ball, what was the initial velocity of the ball as it left her hand?​

Answers

Answer:

[tex]12.35\:\mathrm{m/s}[/tex]

Explanation:

We can use the work-energy theorem to solve this problem. The work-energy theorem states that the work done on an object will be equal to that object's change in kinetic energy. Thus, we have the following equation:

[tex]W=\Delta KE,\\W=\frac{1}{2}mv^2-0,\\122=\frac{1}{2}\cdot 1.6\cdot v^2,\\v^2=152.5,\\v\approx \boxed{12.35\:\mathrm{m/s}}[/tex]

The first person that answered is is correct just to let you know!

The chef at a pizza restaurant tosses a spinning disk of pizza dough into the air. As the disk stretches outward in midair and its diameter increases, what happens to the disk's angular momentum and angular velocity about the disk's center of mass

Answers

Answer:

* angular momentum throughout the lar process is conserved throughout the entire process

* the angular velocity decreases as the radius of the pizza increases

Explanation:

The system formed by the masses is isolated so its angular momentum is conserved

  initial instant, which throws the mass with angular velocity o and radius ro

           L₀ = I w₀

final instant. When the mass has a radius r and an angular velocity w

           L_f = I_f w

         

           Lo = l_f

           I₀ w₀ = I_f w_f

           [tex]\frac{ w_f}{w_o } } = \frac{r_o}{r_f}[/tex]

         

let's analyze this result

* angular momentum throughout the lar process is conserved throughout the entire process

* the angular velocity decreases as the radius of the pizza increases

15. In the diagram shown, the emf of the secondary winding is______ the emf of the primary winding.

A. Less than

B. Equal to

C. Greater than

Answers

Answer:

Greater than

Explanation:

Una partícula alfa (la cual es un núcleo del átomo de helio) se mueve hacia el norte con una velocidad de 3.8 X 10^5 m/s en una región donde el campo magnético es 1.9 T y está apuntando horizontalmente hacia el este. ¿Cuál es la magnitud y la dirección de la fuerza magnética sobre esta partícula alfa?

Answers

Answer:

 F = 23.1 10⁻¹⁴ N,  points inside the page

Explanation:

The magnetic force is given by the expression

          F = q v x B

bold letters indicate vectors, the magnitude of this formula is

         F = q v B  sin θ

in this case the magnetic field is in the east direction and the particle moves north, so the angle is 90 and the sine 90 = 1

         F = q v B

         F = 2 1.6 10⁻¹⁹  3.8 10⁵ 1.9

         F = 23.1 10⁻¹⁴ N

the direction of the force is given by the right hand rule, for a positive charge

the thumb points in the directional of the speed, in this case towards the North

the other fingers extended in the direction of the magnetic field, in this case to the East

the palm points in the direction of the force, consequently it points inside the page,

A force (5ỉ - ;)N moves an object from the point P (1,3) m to the point Q (3, 8) m.
The work (in )) done by the force is
Select one:
a. -10
O b.5
o c.-13
d. 8​

Answers

Answer:

b) 5 J

Explanation:

Work is the energy transferred by an object when acted by a force along a displacement. Work is the product of force and displacement. The SI unit of work is the joules (J)

To calculate the work done by the force, we have to first get the displacement (D) of the object. Hence:

Displacement (D) = Q(3, 8) - P(1, 3) = (3 - 1, 8 - 3) = (2, 5) = 2i + 5j

The work done is the dot product of the force and the displacement. Force = 5i - j. Hence:

Work done = (5i - j)(2i + 5j) = 10 - 5 = 5 J

PLEASE HELPPPPPPPPPP​

Answers

Answer:

13.09 s

Explanation:

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

Power (P) = 275 W

Work (W) = 3600 J

Time (t) =?

Power is defined as the rate at which work is done. Mathematically, it can be expressed:

Power (P) = Work (W) / time (t)

P = W/t

With the above formula, we can obtain the time taken for the swimmer to accomplish the work. This can be obtained as follow:

Power (P) = 275 W

Work (W) = 3600 J

Time (t) =?

P = W/t

275 = 3600/t

Cross multiply

275 × t = 3600

Divide both side by 275

t = 3600 / 275

t = 13.09 s

Thus, it will take the swimmer 13.09 s to accomplish the work.

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