A physics professor uses an air-track cart of mass m to compress a spring of constant k by an amount x from its equilibrium length. The air-track has negligible friction. When she lets go, the spring launches the cart. What cart velocity should she expect after it is launched by the spring

Answers

Answer 1

Answer:

        v = √k/m    x

Explanation:

We can solve this exercise using the energy conservation relationships

starting point. Fully compressed spring

        Em₀ = [tex]K_{e}[/tex] = ½ k x²

final point. Cart after leaving the spring

        [tex]Em_{f}[/tex] = K = ½ m v²

        Em₀ = Em_{f}

        ½ k x² = ½ m v²

        v = √k/m    x


Related Questions

Indicate the direction of heat flow in each scenario. Scenario A: Scenario B: Scenario C: Scenario D:

Answers

Answer:

Scenario A:  toward object 1

Scenario B: toward object 2

Scenario C:  toward object 1

Scenario D:  toward object 1

Explanation:

The heat transfer will take place for different cases are as follow

A: From skin to lotion

B: From lasagna to plate

C: Lava to ocean water

D: From sidewalk to egg

What is heat transfer?

Heat always flows from a higher temperature body to a low-temperature body. Heat transfer, any or all of several kinds of phenomena, is considered a mechanism, that conveys energy and entropy from one location to another.

The specific mechanisms are usually referred to as convection, thermal radiation, and conduction (see thermal conduction).

Conduction involves the transfer of energy and entropy between adjacent molecules, usually a slow process.

Convection involves the movement of heated fluid, such as air, usually a fairly rapid process.

Radiation refers to the transmission of energy as electromagnetic radiation from its emission at a heated surface to its absorption on another surface, a process requiring no medium to convey the energy

The heat transfer will take place for different cases are as follow

A: From skin to lotion

B: From lasagna to plate

C: Lava to ocean water

D: From sidewalk to egg

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Formulating a Hypothesis: Part II
Now you will focus on a second hypothesis. This
hypothesis can be very similar to the first, but this time
you want to focus only on the second variable in
question, speed. What could be a hypothesis that would
illustrate the relationship between speed and kinetic
energy? Use the format of "if.. then... because..." when
writing your hypothesis.
If we have a ball rolling its speed could determine the amount of
kinetic energy in it while in movement

Answers

Explanation:

The kinetic energy of an object is given by :

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

m is mass of the object

v is the speed of the object

It is clear from the above relation that the kinetic energy of the object is directly proportional to the product of mass and velocity.

The hypothesis can be :

If the speed of the object increased then its kinetic energy increase because kinetic energy is directly proportional to ist speed.

The kinetic energy of an object is given by :

m is mass of the object

v is the speed of the object

It is clear from the above relation that the kinetic energy of the object is directly proportional to the product of mass and velocity.

The hypothesis can be :

If the speed of the object increased then its kinetic energy increase because kinetic energy is directly proportional to its speed.

A 500 kg car starts with a force of 1000 N

1) Calculate the acceleration with which the car starts.
2) Determine the speed of the car 15 seconds after starting if we know what part of the rest

Answers

Answer:

2 m/s²

30 m/s

Explanation:

1) F = ma

1000 N = (500 kg) a

a = 2 m/s²

2) Given:

v₀ = 0 m/s

a = 2 m/s²

t = 15 s

Find: v

v = at + v₀

v = (2 m/s²) (15 s) + 0 m/s

v = 30 m/s

A catapult is usedto fire an object into the air describe the energy transfers when the catapult is released and stretched

Answers

Explanation:

potential energy ===> kinetic energy

when an object is stretched there will be a stored energy in it enough to react to the upcoming change

that is the potential energy

similar to a stretched elastic band

kinetic energy is the energy on a moving object

*If a kinetic energy takes place there must gave been a potential energy before*

A catapult is used to fire an object into the air, the potential energy transfers as the elastic potential energy and to the kinetic energy when the catapult is released and stretched.

What is the energy conversion taken place in Catapult?

The potential energy is associated with bodies that are above a reference point, at that reference point the value of potential energy is taken as zero. For example, if an object with a mass M is in a tower that is 140 meters high, its potential energy is defined as the product of the mass of the object by gravity and by the height at which the object is measured from the reference point.

Ep =mgh

When talking about elastic objects such as springs or elastic fibers, it is usually understood that there is an elastic potential energy associated with the constant of the spring. This can be calculated using the following equation:

U ela = 1/2×k×(Dx)²

where:

k = elastic constant of the elastic material [N/m]

Dx = distance stretched or compressed of the elastic material [m]

U = elastic energy [Joules]

So, there are difference between the elastic potential energy and the potential energy.

In a catapult, Initially, energy is stored in the form of potential energy which is later converted into kinetic energy. Potential energy can be stored in the form of elastic potential energy in the case of elastic. It suddenly releases the energy to propel the object into the air.

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Calculate the speed of a car that travels 355km in 15 hours , a good answer please

Answers

Answer:

23.67 km / hr

Explanation:

car travels 355 km (d)

duration = 15 hrs  (t)

average speed formula = v = d / t

v = 355 km / 15 hr

v = 23.67 km / hr

Explanation:

Hello, there!!!

Here, your question is asking about the speed and the given are:

distance (s)= 355km

time (t) = 15hrs.

speed (v)=?

now,

we have the formula:

v= s/t

or, v = 335km /15 hrs.

Therefore, the speed of car was 23.67km/hr.

Hope it helps..

A small child has a wagon with a mass of 10 kilograms. The child pulls on the wagon with a force of 2 newtons. What is the acceleration of the wagon?

Answers

Explanation:

F = ma

2 N = (10 kg) a

a = 0.2 m/s²

how to find volume of a cuboid in cm3

Answers

Answer:

we have to use formula of volume to find volume of a cuboid. ( i.e v = l ×b ×h)

Explanation:

here, let your length of cuboid be x cm, breadth be y cm and height be z cm .

now, formula to find volume of cuboid = length ×

breadth × height.

so, v( volume)= l (length)× b (breadth)× h (height)

or, v= x cm × y cm × z cm

therefore, volume is xyz cm^3..... answer.

hope it helps..

Answer: length times width times height

Explanation:

2. A solid sphere and a solid cylinder, both uniform and of the same mass and radius, roll without slipping at the same forward speed. It is correct to say that the total kinetic energy of the solid sphere is A) more than the total kinetic energy of the cylinder. B) less than the total kinetic energy of the cylinder. C) equal to the total kinetic energy of the cylinder.

Answers

The correct answer is B) less then the total kinetic energy of the cylinder,
Please mark brainliest

Law of conservation
of momentum

Answers

Answer:

Explanation:

Law of conservation of momentum is applied in solving collision problem. When two body collides, their momentum after collision can be determined using the law.

The law States that the sum of momentum of two bodies before collision is equal to the sum of their momentum after collision. Before collision, both bodies moves with a different velocity while during some cases, the bodies moves with a common velocity after collision.

Whether they move with or without the same velocity depends on the type of collision that exists between them after the collision. After collision, some object sticks together and move with a common velocity while some doesn't.

If the bodies sticks together after collision, the type of collision that occur is inelastic (energy is not conserved) and if they splits after collision, the type of collision that occur is an elastic collision (energy is conserved).

Let m1 and m2 be the masses of the bodies

u1 and u2 be their velocities before collision

v1 and v2 be their velocities after collision.

According to the law;

m1u1 + m2u2 = m1v1 + m2v2

Note that momentum = mass × velocity of the body.

A projectile is fired from a height of 80 M above sea level, horizontally with a speed of 360 M / S, calculate: The time it takes for the projectile to reach the water. The Horizontal scope. The height that remains to descend after 2 seconds of being launched.

Answers

Answer:

(a) The projectile takes approximately 4.420 seconds to reach the water, (b) The horizontal scope of the projectile is 1591.2 meters, (c) The remaining height to descend after 2 seconds of being launched is 63.624 meters.

Explanation:

The projectile experiments a parabolic motion, where horizontal speed remains constant and accelerates vertically due to the gravity effect. Let consider that drag can be neglected, so that kinematic equation are described below:

[tex]x = x_{o}+v_{o,x} \cdot t[/tex]

[tex]y = y_{o} + v_{o,y}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Initial horizontal and vertical position of the projectile, measured in meters.

[tex]v_{o,x}[/tex], [tex]v_{o,y}[/tex] - Initial horizontal and vertical speed of the projectile, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]x[/tex], [tex]y[/tex] - Current horizontal and vertical position of the projectile, measured in meters.

Given that [tex]x_{o} = 0\,m[/tex], [tex]y_{o} = 80\,m[/tex], [tex]v_{o,x} = 360\,\frac{m}{s}[/tex], [tex]v_{o,y} = 0\,\frac{m}{s}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], the kinematic equations are, respectively:

[tex]x = 360\cdot t[/tex]

[tex]y = 80-4.094\cdot t^{2}[/tex]

(a) If [tex]y = 0\,m[/tex], the time taken for the projectile to reach the water is:

[tex]80 - 4.094\cdot t^{2} = 0[/tex]

[tex]t = \sqrt{\frac{80}{4.094} }\,s[/tex]

[tex]t \approx 4.420\,s[/tex]

The projectile takes approximately 4.420 seconds to reach the water.

(b) The horizontal scope is the horizontal distance done by the projectile before reaching the water. If [tex]t \approx 4.420\,s[/tex], the horizontal scope of the projectile is:

[tex]x = 360\cdot (4.420)[/tex]

[tex]x = 1591.2\,m[/tex]

The horizontal scope of the projectile is 1591.2 meters.

(c) If [tex]t = 2\,s[/tex], the height that remains to descend is:

[tex]y = 80-4.094\cdot (2)^{2}[/tex]

[tex]y = 63.624\,m[/tex]

The remaining height to descend after 2 seconds of being launched is 63.624 meters.

A scientist is studying the effects of sunlight on rose bushes. Which of the
following is a testable question about this topic?

Answers

Answer:

Does more sunlight make rose bushes grow taller?

Explanation:

When conducting a research, the researcher usually poses research questions in order to confirm or disprove the research hypothesis. A research question addresses the key issues and questions that the research project is intended to answer. Good research questions always aim at improving the body of knowledge on the selected topic of the research. Research questions must be narrowed down to specific details of the topic. They must also be testable, they must not be vague.

If I am studying the effect of sunlight on rose bushes, then the question, 'does more sunlight make rose bushes grow taller?' Is apt to the research because it can be tested by exposing various thorn bush plants to varying degrees of sunlight and recording my observation.

Answer:

If rose bushes receive more hours of sunlight each day, they will grow taller.

Explanation:

I just answered it on Apex, and they like to switch up how they word things sometimes.

For the electric circuit given below, calculate: 3 (i) the equivalent resistance of the circuit, (ii) the total current drawn from the battery and (iii) the voltage across 7Ω resistor.

Answers

Answer:

1)31/3Ω

2)18/31A

3)4.06V

Explanation:

According to the diagram and 10 Ω resistors are parallel to each other, parallel resistor can be calculated using the formula below

1/R= 1/R1 + 1/R2

But we know R1= 5 Ω and R2= 10 Ω

1/R= 1/5 + 1/10

R= 10/3 Ω

=3.33 Ω

Then if we follow the given figure, 10/3 Ω and 7Ω are now in series then

Req = 10/3 +7

Req= 31/3 Ω

Therefore, equivalent resistance = 31/3 Ω

According to ohms law we know that V= IR

Then I= V/R

Where I= current

R= resistance

V= voltage

I= 6/(31/3)

I= 18/31A

We can now calculate the voltage accross the resistor which is

V=(18/31)× 7

V=4.06V

Therefore, the voltage accross the 7 ohm resistor is 4.06V

CHECK THE FIQURE AT THE ATTACHMENT

a solid weighs 20gf in air and 18 gf in water.Find the specific gravity of the solid. Please show your work.​

Answers

Answer: It is given that A body weighs 20gf in air and 18. 0gf in water. Hence, the answer X-3 = 7.

analyze this physics mystery and be marked brainliest​

Answers

Answer:

The two middle chains are for suspension of the glass surface, while the fours chains at all corners prevents tilting

Explanation:

From the picture, the the frame bearing the glass surface is suspended by the two metal chains at the middle,

While the balance to avoid tilting to either directions is maintained by the four  chains at all corners.

Part E Now convert the time from seconds to years. This value is the approximate age of the universe. Write the age in scientific notation. Use the conversion, 1 year = 3.154 × 107 seconds.

Answers

Explanation:

The age of the universe is 13.8 billion years.

We know that,

1 billion years = 10⁹ years

So,

[tex]13.8\ \text{billion years}=13.8\times 10^9\ \text{years}[/tex]

We need to convert the age of the universe to the scientific notation.

Since, [tex]1\ \text{year}=3.154\times 10^7\ s[/tex]

So,

[tex]13.8\times 10^9\ \text{years}=13.8\times 10^9\times 3.154 \times 10^7\\\\=4.35\times 10^{17}\ s[/tex]

So, the age of the universe is [tex]4.35\times 10^{17}\ s[/tex].

Answer:

So the universe is approximately 1.34 x 10^10 years old

Explanation:

Edmentum

Janaki Temple and Pashupatinath Temple are increasing our pride how​

Answers

Answer:

Janaki temple and Pashupatinath Temple are found in Nepal. These structures are religious and they increase the pride of the country through tourism. These temples are important in the country and are mostly visited by tourists.

This also helps to bring in income for the country and also helps by attracting many visitors and a corresponding development of its tourism industry.

when vector contains distance and direction it also known as

Answers

When vector contain distance and direction it is also known as displacement .

Which statement best describes the difference between how lenses and
mirrors interact with light?

A. Lenses bring light to a point; mirrors do not.
B. Lenses form images by reflecting light; mirrors do not.
C. Lenses spread light apart; mirrors do not.
D. Lenses form images by refracting light; mirrors do not.

Answers

D I think this is the right answer but I am not completely sure

Answer:D

Explanation:

Apex

identify the motion when a car is moving with constant speed along a curve

Answers

Answer:

Uniform circular motion

Explanation:

When a car is moving with constant speed along a curve, it will said to have uniform circular motion. The speed of the car remains constant in this case. But its velocity keeps on changing. The velocity can be calculated by drawing the tangent on the circle. Hence, the motion of the car is uniform circular motion.

Answer:

Uniform motion

Explanation:

The motion when a car is moving with constant speed along a curve is an example of uniform motion.

A car moving at constant speed covers equal distances in equal intervals of time. The average speed remains the same in uniform motion.

The curve defines the path of the motion and the speed remains constant.

A body is thrown vertically upwards, remaining 4s in the air. Calculate the maximum height that the body reaches.

Answers

Answer:

20 m

Explanation:

Given:

v = 0 m/s

a = -10 m/s²

t = 4 s / 2 = 2 s

Find: Δy

Δy = vt − ½ at²

Δy = (0 m/s) (2 s) − ½ (-10 m/s²) (2 s)²

Δy = 20 m

Find the speed of the mobile after 4 seconds

Answers

Answer:

27 m/s

Explanation:

V_final = v_initial + a*t

V_final = 15 + 3 * 4

V_final = 27 m/s

A uniform metre rod of 5 metre length is suspended horizontally by two strings P and Q.Pis attached 0.8 metre from one end and Q is attached 2 metre from the other end.Given that the weight of the rod is 110N. Calculate the tension in each string

Answers

Answer:

The tension in string P is 25 N, while that of Q is 85 N.

Explanation:

Considering the conditions for equilibrium,

i. Total upward force = Total downward force

                     [tex]T_{P}[/tex] + [tex]T_{Q}[/tex] = 110 N

ii. Taking moment about P,

clockwise moment = anticlockwise moment

110 × (2.5 - 0.8) = [tex]T_{Q}[/tex] × (3 - 0.8)

110 × 1.7 = [tex]T_{Q}[/tex] × 2.2

187 = 2.2[tex]T_{Q}[/tex]

[tex]T_{Q}[/tex] = [tex]\frac{187}{2.2}[/tex]

[tex]T_{Q}[/tex] = 85 N

From the first condition,

[tex]T_{P}[/tex] + [tex]T_{Q}[/tex] = 110 N

[tex]T_{P}[/tex] + 85 N = 110 N

[tex]T_{P}[/tex] = 110 - 85

[tex]T_{P}[/tex] 25 N

Therefore, the tension in string P is 25 N while that of Q is 85 N.

On January 22, 1943, in Spearfish, South Dakota, the temperature rose from −4.00°F to 45.0°F over the course of two minutes (the current world record for the fastest recorded temperature change). By how much did the temperature change on the Celsius scale?

Answers

Answer:

The change on the Celsius scale is 27.22 °C.

Explanation:

The conversion of Fahrenheit to Celsius is the following:

[tex]T = \frac{5}{9}(^{\circ} F - 32)[/tex]

So, we need to convert T₁ and T₂ from °F to °C:

[tex]T_{1} = \frac{5}{9}(^{\circ} F - 32) = \frac{5}{9}(- 4 - 32) = -20 ^{\circ} C[/tex]

[tex]T_{2} = \frac{5}{9}(^{\circ} F - 32) = \frac{5}{9}(45 - 32) = 7.22 ^{\circ} C[/tex]

Hence, the change on the Celsius scale is:

[tex] \Delta T = T_{2} - T_{1} = 7.22 - (-20) = 27.22 ^{\circ} C [/tex]

Therefore, the change on the Celsius scale is 27.22 °C.

I hope it helps you!

If three cars, each of mass 1000 kg , occupy the NE, SE, and SW corners, determine the coordinates of the CM of the loaded ferryboat relative to the center of the raft. Take the origin to be at the CM of the raft.

Answers

Answer:

Using X = sum( x's * mass)/sum( masses)

= [(0)*(6400)+ (-9.5*1000) + (9.5)*(1000) + (9.5)*(1000)]/(6400+1000+1000+1000)

= 1.01 m

Y = sum( y's * mass)/sum( masses)

= [(0)*(6400) + (9.5)*(1000) +(-9.5)*(1000) + (-9.5)*(1000)]/ (6400+1000+1000+1000)

= -1.01 m

How do you find time with current and charge

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Current Electricity .

Since we know that, Current is Charge per unit time.

so we get as,

Q = I*t

here, Q = charge, I = current, t = time.

It a process or act of natural growth.



Answers

The answer is process

What is the angle of deviation in a plane mirror at normal incidence?​

Answers

Answer:

The deviation of a mirror is equal to twice the angle of incidence.The total angle between the straight-line path and the reflected ray is twice the angle of incidence. This is called the deviation of the light and measures the angle at which the light has strayed from its initial straight-line path.

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Select the correct answer.
According to the Universal Law of Gravitation, every object attracts every other object in the universe. Why can’t you feel the force of attraction between you and Mars?
A.
There is no force of attraction between you and Mars.
B.
Your mass is too low.
C.
Mars is a larger planet than Earth.
D.
Mars is a long distance away.

Answers

Answer:

D. Mars is a long distance away

HELP me pleaseeee somebody

an object is placed 30cm from a mirror of focal length 15 cm the object is 7.5cm tall. where is the image located? how tall is the image??

Answers

Explanation:

It is given that,

Object distance from the mirror, u = -30 cm

Focal length of the mirror, f = +15 cm

Size of the object, h = 7.5 cm

We need to find the image distance and the size of the image.

Mirror's formula, [tex]\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]

v is image distance

[tex]\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{(15)}-\dfrac{1}{(-30)}\\\\v=10\ cm[/tex]

Let h' is the size of the image. So,

[tex]\dfrac{h'}{h}=\dfrac{-v}{u}\\\\h'=\dfrac{-vh}{u}\\\\h'=\dfrac{-10\times 7.5}{-30}\\\\h'=2.5\ cm[/tex]

So, the image is located at a distance of 10 cm and the size of the image is 2.5 cm.

explain relative velocity.

Answers

Answer:

The relative velocity of an object A with respect to another object B.

Explanation:

The relative velocity of an object A with respect to another object B is the velocity that object A would appear to have to an observer situated on object B moving along with it.

Other Questions
n the kite, AC = 10 and BD = 6. What is the area of kite ABCD? 15 square units 30 square units 45 square units 60 square units A boat floats south on the Amazon River at a speed of 6 m/s. The boat andpassengers have a combined mass of 540 kg.a. What is the momentum of the boat? (Remember, momentum is a vectorquantity.) b. The passengers paddle backward, reducing the speed to 4 m/s. What was theimpulse applied to the boat by the paddling? Please answer this question now in two minutes If a bank receives a $1 million discount loan from the Federal Reserve, then the bank's reserves will:_____.a. increase by $1 million. b. not change. c. increase by less than $1 million. d. increase by more than $1 million. Which of the following best describes the flow of energy in the Everglades food web shown below? (4 points) Diagram for an everglades food web. The food web contains the following organisms: American alligator, egret, raccoon, carp, Key deer, insects, Southern leopard frog, mangrove, and sawgrass. Mangrove is at the bottom of the food web, with arrows pointing to Key deer and insects. Sawgrass is also at the bottom of the web, with an arrow pointing to insects. Key deer, insects and Southern leopard frog are on the next level up. The Key deer has an arrow pointing to American alligator. The insects point to egret, carp, and Southern leopard frog. The Southern leopard frog points to the American alligator and the raccoon. The egret, carp and raccoon all points upward toward the American alligator. The carp also points to the egret. The American alligator is at the top of the food web. Mangrove insects carp American alligator; about 90 percent of the energy in one trophic level is transferred to the next trophic level. Sawgrass insects Southern leopard frog raccoon American alligator; about 10 percent of the energy in one trophic level is transferred to the next trophic level. American alligator carp insects mangrove; about 10 percent of the energy in one trophic level is transferred to the next trophic level. Egret insects mangrove key deer American alligator; about 90 percent of the energy in one trophic level is transferred to the next trophic level. which ordered pair is a solution of the equation -3x+5y=2x+3y PLEASE HELP ASAP Polly Smith, a supervisor at Kroger's, was recently evaluated by her subordinates. Their responses indicated that Polly uses Theory X assumptions when dealing with employees. For example, one of the comments indicated that she treats employees as if they:_______.a. naturally like work. b. will work toward goals they are committed to. c. have little ambition. d. have the potential to accomplish the organization's goals. e. seek out and accept responsibility. Jason has many roles in life. He is an engineering student in college, he's the oldest son in his family, and he earns extra money as an editor for the local newspaper. In his spare time, Jason likes to hike nature trails. In an economic sense, in which role is Jason functioning as a worker? A. Walking on nature trails B. Oldest son in family C. Editor for the local newspaper D. College student If there is a decrease in the short-run aggregate supply curve and no changes in fiscal policy are implemented, the economy over time will Group of answer choices Remain at the new price and output level Experience a leftward shift in the aggregate demand curve Return to the original output and price level Experience increasing nominal wages Continue to have rising prices and decreasing Real GDP Janice and Thom form Level Corporation. Janice transfers equipment (worth $60,000, basis of $40,000) for 50% of the stock in Level. Thom transfers inventory (worth $20,000, adjusted basis of $15,000) and provides services worth $40,000 for 50% of the stock.Because this transaction_______(meet or not) the control of the corporation requirement, Janice has income of $_______and Thom has income of $______. The expression cant you see in line 13 in the cockrow the colour of God is an example of a An ecologist hypothesizes that predation by a particular owl species is the major factor controlling the population of a particular rabbit species. The first step in testing this hypothesis would be to determine Find the area of the figure. Round to the nearest tenth if necessary. 386.3m^2 194.3m^2 193.1m^2 201.9m^2 A double-slit experiment uses coherent light of wavelength 633 nm with a slit separation of 0.100 mm and a screen placed 2.0 m away. (a)How wide on the screen is the central bright fringe The cosine function reaches a value of 0 when x is equal to HELP ASAP;The tree diagram represents anexperiment consisting of two trials. Suppose that the government immediately pursues an _____________ policy by increasing government purchases in response to the short-run economic impact of the higher oil prices. A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 min for the angle of elevation to change from 45 to 60. After how much more time will this car reach the base of the tower? Options: a. 5( 3+ 1 ) b. 6 (3 +2) c. 7 (3- 1) d. 8 (3-2) Ruby is 25 and has a good job at a biotechnology company. She currently has $10,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. Ruby estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year (she expects that Social Security will pay her an additional $15,000 a year). a. How much will Rubys IRA be worth when she needs to start withdrawing money from it when she retires? Use Exhibit 1-A. (Round FV factor to 3 decimal places and final answer to the nearest whole dollar.) b. How much money will she have to accumulate in her companys 401(k) plan over the next 40 years in order to reach her retirement income goal? (Round your answer to the nearest whole dollar.) Which characteristic most differentiated the Soviet Union's communistgovernment from Germany's Nazi fascist government?O A. The Soviet Union established an economy based oncollectivizationB. The Soviet Union attempted to control its citizens' thoughts andbeliefs.C. The Soviet Union subjected ethnic minorities to persecution andviolence.D. The Soviet Union imprisoned or executed many politicaldissidents.