ball A has a mass of 5.0 kg. ball B has twice the mass of ball A. The Two balls collide and stick together in a perfectly inelastic collision. after the collision the combined balls are at rest. if the velocity of ball A before the collision was 13 m/s, what was the velocity of ball B before the collision?
A. 6.5
B. -6.5 m/s
C. 26 m/s
D. -13 m/s
E. 0.0 m/s

Answers

Answer 1
Ma.Va + Mb.Vb = (Ma+Mb)Vc
Vc=0
(5)(13) + (10)(Vb) = 0
65+10Vb = 0
Vb = -65/10
Vb = -6.5m/s

Answer = B
Answer 2

Using the conservation of momentum principle, the initial velocity of ball B before the collision is calculated to be -6.5 m/s given that the collision is perfectly inelastic and both balls come to rest after they stick together.

The problem describes a perfectly inelastic collision situation where ball A, with a mass of 5.0 kg and an initial velocity of 13 m/s, collides with ball B, which has twice the mass of ball A, and they stick together and come to rest. To find the initial velocity of ball B before the collision, we can use the conservation of momentum principle. The total momentum before the collision must equal the total momentum after the collision.

Let's denote the mass of ball A as mA and the mass of ball B as mB. The initial velocity of ball A is vA1 = 13 m/s, and let's denote the initial velocity of ball B as vB1. The mass of ball B is twice that of ball A, so mB = 2mA. Since the balls are at rest after the collision, their combined momentum is zero.

The momentum conservation equation can be written as:

mAvA1 + mBvB1 = 0

Substituting the given values and solving for vB1 we get:

(5.0 kg)(13 m/s) + (2 × 5.0 kg)vB1 = 0

65 kg×m/s + 10.0 kgvB1 = 0

vB1 = -(65 kg×m/s) / (10.0 kg)

vB1 = -6.5 m/s

Therefore, the initial velocity of ball B before the collision was -6.5 m/s, which corresponds to option B.


Related Questions

The 2779-m Brooklyn-Battery Tunnel, connecting Brooklyn and Manhattan, is one of the world's longest underwater vehicular tunnels. (a) Determine its fundamental frequency of vibration. (b) What harmonic must be excited so that it resonates in the audio region at 20 Hz or greater?

Answers

For a cylinder that has both ends open resonant frequency is given by the following formula:
[tex]f= \frac{nv}{2L} [/tex]
Where n is the resonance node, v is the speed of sound in air and L is the length of a cylinder.
The fundamental frequency is simply the lowest resonant frequency.
We find it by plugging in n=1:
[tex]f_0= \frac{v}{2L}=\frac{343}{2\cdot 2779}=0.062 Hz[/tex]
To find what harmonic has to be excited so that it resonates at f>20Hz we simply plug in f=20 Hz and find our n:
[tex]20= \frac{n343}{2\cdot 2779} =n\cdot f_0[/tex]
We can see that any resonant frequency is simply a multiple of a base frequency.
Let us find which harmonic resonates with the frequency 20 Hz:
[tex]20=n\cdot f_0\\ n=\frac{20}{0.062}=322.58[/tex]
Since n has to be an integer, final answer would be 323.

A sphere has surface area 1.25 m2, emissivity 1.0, and temperature 100.0°C. What is the rate at which it radiates heat into empty space? The Stefan-Boltzmann constant is 5.67 × 10-8 W/(m2 ∙ K4).

A.) 9.9 mW

B.) 3.7 W

C.) 7.1 W

D.) 1.4 kW

Answers

The total power emitted by an object via radiation is:
[tex]P=A\epsilon \sigma T^4[/tex]
where:
A is the surface of the object (in our problem, [tex]A=1.25 m^2[/tex]
[tex]\epsilon[/tex] is the emissivity of the object (in our problem, [tex]\epsilon=1[/tex])
[tex]\sigma = 5.67 \cdot 10^{-8} W/(m^2 K^4)[/tex] is the Stefan-Boltzmann constant
T is the absolute temperature of the object, which in our case is [tex]T=100^{\circ} C=373 K[/tex]

Substituting these values, we find the power emitted by radiation:
[tex]P=(1.25 m^2)(1.0)(5.67 \cdot 10^{-8}W/(m^2K^4)})(373 K)^4=1371 W = 1.4 kW[/tex]
So, the correct answer is D.

Select the correct answer. What is tan for the given triangle? 0.60 1.67 1.33 5.00 0.20

Answers

the answer is 1.33 i hope this helps you
The correct answer should be 1.33

Which of the following utilize electromagnetic induction to operate?
generators in power plants
telephones
turbines
masonry
fireplaces
solar ovens


it multiple choose

Answers

The correct answer is A. B. C. Hope this helps!!

The correct answer is option A and F, Generators in power plants and Solar ovens

Electromagnetic induction is the phenomena of generating electricity due to a changing magnetic field. In electric generators, a rotating coil (which acts as a conductor) is placed between the two magnets. As the coil rotates it induces electromotive force within the conductor. Like wise in case of solar oven , heating is caused due to the eddy currents produced with in the conductor placed with in a changing magnetic field.

Binary ionic compounds are: Check all that apply.

A.Compounds with very different electronegativities
B.Made from two metals
C.Compounds that share electrons
D.Metals and nonmetal ions

Answers

I believe the answer is the last one; they are made of metals and non metal ions. Binary ionic compounds are ionic compounds that contain only two elements, one is the cation and the other is the anion. They are neutrally charged compounds made up of bonded ions, a cation an an anion. For example sodium chloride; contains Na+ (a cation with a +1) combines with Cl- (an anion with a -1 charge) to make sodium chloride.

Compounds with very different electronegativities AND metals and non metals.

What is the average speed of a human that runs a distance of 5 miles in 1 hour?

Answers

It would be 5 mph. Hope it helps! :)

A bullet is fired at a speed of 2434 ft/s. what is this speed expressed in millimeters per minute?

Answers

44,512,992 mm/m. Hopefully...

Which ions are most abundant in an acid?

Answers

The hydrogen ion is the most abundant in an acid for it is a bare proton that associates with any water in the molecule, solution or reaction so the H+ ions produced by an acid exist as H3O+ ions.

Moreover, in the Arrhenius theory, an acid is a substance that dissociates to produce H+ ions in solution and a base as a substance that dissociates to produce OH- ions in solution. Meanwhile, in the Bronsted-Lowery theory, an acid is considered as a proton donor.

Which Of The Following Are Part Of The Ten Essentials List?

A. Extra Clothes And Rain Gear
B. Umbrella
C. Sunscreen And Hat
D. First Aid Kit
E. Water Purifier
F. Sleeping Pad

Answers

the are A,C,D   that is answer the don't forget to see more answer                                                            


Animals, including humans, need shelter, food, water, air, and space in order to survive. How do animals satisfy their basic needs?

Answers

if you come from study island then its all of them

Food, shelter and clothes are basic need of the humans. Animals like tiger hunt the animals in the jungle, some animals leaves on green grass which are abundantly present in the jungle. for shelter they live in the group at suitable place.

What is Animal ?

Animals belong to the biological kingdom Animalia and are multicellular, eukaryotic creatures. Animals generally ingest organic matter, breathe oxygen, can reproduce sexually, and form from a hollow ball of cells called a blastula during early development. There are an estimated 7.77 million animal species in existence as of 2022, but only 2.16 million of them have been described, including 1.05 million insects, over 36,000 fish, over 11,700 reptiles, over 11,100 birds, and 6,596 mammals. Animals can be as little as 8.5 micrometres (0.00033 in) or as large as 33.6 metres (110 ft). They construct extensive food webs through their complex interactions with one another and their surroundings. Zoology is the study of animals from a scientific perspective.

To know more about animals :

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Describe the image of an object that is 38 cm from a concave mirror that has a focal length of 10 cm.

Answers

Let's start by using the mirror equation:
[tex] \frac{1}{f}= \frac{1}{d}+ \frac{1}{q} [/tex]
where f=10 cm is the focal lenght of the mirror, d=38 cm is the distance of the object from the mirror, while q is the distance of the image from the mirror.
For the sign convention, f is taken as positive for a concave mirror. Therefore, we can solve the equation for q:
[tex] \frac{1}{q}= \frac{1}{f}- \frac{1}{d} = \frac{1}{10 cm}- \frac{1}{38 cm} [/tex]
from which we find q=13.6 cm.

The fact that q is positive means that the image is real, so it is on the same side of the object, with respect to the mirror.

Then we can also find the size of the image with respect to the original object. The magnification is given by
[tex]M=- \frac{q}{d} =- \frac{13.6}{38}=-0.36 [/tex]
The negative sign means that the image is inverted, and the size of the image is 0.36 times the size of the object.

Final answer:

A concave mirror with a focal length of 10 cm will form a virtual, upright image that is 11.43 cm away from the mirror. The magnification of the image will be -0.301.

Explanation:

A concave mirror with a focal length of 10 cm will form an image of an object that is 38 cm away. To determine the characteristics of the image, we can use the mirror equation: 1/f = 1/di + 1/do, where f is the focal length, di is the image distance, and do is the object distance. Rearranging the equation, we get di = 1 / (1/f - 1/do). Plugging in the given values, di = 1 / (1/10 - 1/38) = 11.43 cm.

The negative sign indicates that the image is virtual and upright. Furthermore, to determine the magnification of the image, we can use the formula: magnification = -di / do. Plugging in the values, magnification = -11.43 / 38 = -0.301.

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every 24 hours, about how many hours are spent socializing and watching tv?

Answers

My guess would be about roughly 15, give or take a few. Including school, and it really depends how much TV you watch. Me personally spend about 5 hours watching TV or on the computer/ phone. So it really depends but 15 is my guess.

Answer:

16+ hours  

Explanation:

because they have a job and jobs are long so they would take as much time as they can get

Which of the following would most likely happen if water did not form hydrogen bonds? (2 points)

Answers

The answer choices for this question are:

A) Water would exist only as a solid.

B) Water would be able to dissolve all ionic compounds.

C) Water would not expand when it freezes.

D) Water would not exist on Earth.

The right answer is the option C) Water would not expand when if freezes.

Explanation:

Expansion of water when it freezes is an atypical behavior because substances contract when they freeze with the correpondant increase in density.

But when water forms the ice crystals, the strong hydrogen bonds do not permit an arrangement in which the molecules of water are closer and so they occupy more space (more volume). The length of the hydrogen bonds limits the distance between each water molecule. So, these bonds are the responsible of the expansion of water as it freezes.


Answer:

Water would not expand when it freezes

Explanation:

______________ is a measure of the force of gravity pulling on an object of a given mass.

Answers

I think the answer is weight.

How far away from the sun would a planet mercury's size have to be before it would have an atmosphere?

Answers

it's 87.97 days of the orbital period going round the sun it's days of the shortest of all planets in the solar system.

A 92-kg astronaut and a 2000-kg satellite are at rest relative to a space station. the astronaut pushes on the satellite, giving it a speed of 0.14 m/s directly away from the station. seven and a half seconds later the astronaut comes into contact with the station. part a what was the initial distance from the station to the astronaut?

Answers

Momentum is conserved. 

Momentum of the satellite is 1600*0.14=224 kg-m/sec 
Resulting momentum of the astronaut will be equal -- hence 
86*v=224 or the velocity of the astronaut is 2.60 m/sec 

In 7.5 seconds the astronaut would travel 19.53 meters

Answer:

22.8 s

Explanation:

First we calculate the change in momentum of the satellite.

ΔP = 2000 kg (0.14 m/s 0 m/s) = 280 kg·m/s

The change in momentum of the satellite is equal to the change in momentum of the astronaut as a result of Newton's Third law. Therefore:

280 kg·m/s = 92kg * v

                 v = 3.04 m/s

d = speed * time = 3.04 m/s * 7.5 s = 22.8 m

You are given two carts, a and
b. they look identical and you are told that they are made of the same material. you place a at rest on an air track and give b a constant velocity directed to the right so that it collides elastically with
a. after the collision, both carts move to the right, the velocity of b being smaller than what it was before the collision. what do you conclude?

Answers

The mass of a is smaller than the mass of b.
Final answer:

In the described collision, the momentum of cart B is partially transferred to cart A due to the conservation of momentum principle. Hence, cart A starts moving and cart B slows down but continues to move to the right.

Explanation:

The scenario you described relates to the physics principle of conservation of momentum. In the collision of the carts, the total momentum before the collision equals the total momentum after the collision. This is because in an elastic collision, both kinetic energy and momentum are conserved. Initially, only cart B had momentum (since it was moving), and cart A was at rest. After the collision, both carts moved to the right, indicating that some of cart B's momentum was transferred to cart A. The fact that cart B moved slower after the collision indicates that it transferred some of its initial momentum to cart A. Hence, we can conclude that cart A gained momentum while cart B lost some but kept enough to continue moving to the right.

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Please help!! will mark brainiest and 60 pnts!!!

1) An items real value is
A) Equal to its price
B) Always greater than its perceived value
C) Equal to the cost of its production
D) An average of the price of competitor items

2) Bartering is an example of the exchange process at work.
A) True
B) False

3) The core of marketing is
A) Real value
B) Perceived value
C) Utility
D) Social media

4) Colligate football merchandise associated with colleges in the SEC (South Eastern Conference) are more popular in Alabama than in Oregon because of their
A) Time utility
B) Place utility
C) Form utility
D) Image utility

5) A consumer who is willing to pay more for a pre-assembled piece of furniture as opposed to a cheaper piece of furniture that has to be put together after purchase recognizes the item’s
A) Real value
B) Perceived value
C) Form utility
D) Possession utility

6) By marketing an item, sellers attempt to increase the real value of an item.
A) True
B) False

7) In modern-day society, the exchange process is primarily based on which of the following?
A) The bartering system
B) The honor system
C) The monetary system
D) The gold standard

8) All companies with a website use this online venue to directly sell their products to consumers.
A) True
B) False

9) In today’s society, some services and commodities can be successfully promoted via Internet marketing alone.
A) True
B) False

10) In marketing, an item’s utility refers to only how that product is used by the consumer.
A) True
B) False

Answers

In case you're in hurry, the correct answers are:
1) C
2) A
3) C
4) B
5) C
6) A
7) C
8) A
9) A
10) B

Detailed Explanation:
1)
In marketing, the real value of an item, in simple terms, is the cost to produce the product. Let us take an example of an Apple product(say iPhone). Its real value is the cost of making its whole design, electronics, certain components within that electronics, the casing etc. In the options given, the one that satisfies the definition of item's real value is: Option C) Equal to the cost of its production.

2) Bartering is an exchange process. An example would be helpful to explain the concept. Let us suppose that there are only three people in the world, say Tom, Marija and Hanna. Tom has apples, Marija has oranges, and Hanna has mangoes. Tom loves oranges; therefore, he would go to Marija and ask her to exchange orange for apples. If Marija wants apples, she would most likely exchange oranges for apples. What if Marija wants mangoes instead of apples? She might exchange one or two oranges with Tom, and rest she would exchange with Hanna for mangoes. The bottom line is that in bartering the "real" goods and services are being exchanged instead of any kind of money. The correct answer is: A) True. 

3) 
Marketing, according to American Marketing Association, is the set of activities and processes for creating, delivering and exchanging offerings that have value for customers. Customers always have a choice in the market, therefore, the core of marketing of any company/corporate is the benefit or the value a customer receives from the exchange in the market. The measure of that benefit and the value, in Marketing, is utility. The correct option is: C) Utility.

4) 
In Alabama more facilities are available. Stadiums there are much more bigger than that of in Oregon. Coaching facilities in Alabama are easily accessible to the consumers compared to that of in Oregon. Furthermore, the population of Alabama is more than that of Oregon. Therefore, place is the vital factor in the popularity of Colligate football merchandise. In marketing, Place Utility is the availability of a product or service in a location that is convenient and easily accessible to the customers. Hence, the correct option is: B) Place Utility.

5) 
Real value is the real cost of the production of an item. Perceived value is the worth of an item in the eyes of a consumer. Form Utility is the method of increasing the overall attractiveness of a product or making a product ready for consumption to a group of consumers by changing its physical appearance. Therefore, the correct option is: C) Form Utility.

6) 
Real value, as I explained above, is the cost to produce the product. In order to get much of the profit out of the product, sellers attempts to increase the real value. For example, if a company makes an item or product for $10, in order to get the profit out of it, it(company) advertises to increase its real value from $10 to $20. The correct option is: A) True

7) 
In modern-day society, the exchange process is primarily based on the monetary system. Individuals use money to buy items. States/countries uses money, almost all of the times, to sell and buy the services/goods. Therefore, the correct option is: C) The monetary system
Did you know(Information): Few countries prefer that bartering system along with the monetary system. Like China, Indonesia etc.

8) Indeed, the companies with a website use this online portal to directly sell their products to consumers. Apple, for instance, sell its products(iPad, iPhone, Macbooks, Apple TV, Watches etc.) online. Twitter and Facebook selling their services in terms of advertisements. There are hundreds and thousands of such examples.Therefore, the correct option is: A) True.

9) 
In present-day society, internet marketing is being used to promote and sell certain services and commodities. For example, on Facebook. Most of the businesses float their advertisements there for selling their products. Ebay and Amazon are the prime examples of selling the products online. The correct option is: A) True

10)  Item's utility in Marketing is the expected satisfaction that a consumer gets upon the consumption of that particular item or product. It is not how the product is used by the consumer. Therefore, the correct option is: B) False.

1) C  2) A  3) C  4) B  5) C  6) A  7) C  8) A  9) A  10) B Is the answer

HELP!! Physical or chemical property? For the questions..

Answers

1.Chemical
2.Physical
3.Physical
4.Chemical
5Physical
I am not sure if these are right, but I hope I helped (:

A long, straight, vertical wire carries a current upward. due east of this wire, in what direction does the magnetic field point? a long, straight, vertical wire carries a current upward. due east of this wire, in what direction does the magnetic field point? upward west north south downward east

Answers

Final answer:

The magnetic field is due east of a long, straight, vertical wire carrying a current upward points downward.

Explanation:

The magnetic field created by a long, straight, vertical wire carrying a current upward can be determined using the right-hand rule. According to the right-hand rule, if you point your right thumb in the direction of the current in the wire, your fingers will curl in the direction of the magnetic field.

Since the wire is carrying current upward, the magnetic field will point in the clockwise direction when viewed from above. Therefore, the magnetic field due east of the wire will point downward.

A body 'A' of mass 1.5kg travelling along the positive X-axis with speed of 4.5m/s collides with another body 'B' of mass 3.2kg, which initially is at rest as a result of the collision, 'A' is deflected and moves in a speed of 2.1m/s in a direction which is at an angle of 30 degree below the X-axis. 'B' is set in motion at an angle Φ above the X-axis. calculate the velocity of 'B' after the collision.

Answers

I already answered this question. 
Please refer to this link https://brainly.com/question/8743596.

At the end of a factory production line, boxes start from rest and slide down a 30 ∘ ramp 5.8 m long. part a if the slide is to take no more than 3.9 s , what's the maximum allowed frictional coefficient

Answers

We can solve the problem by analyzing the forces acting along the direction of the inclined plane. There are two forces: the first one is the component of the weight parallel to the inclined plane, which is
[tex]mg \sin \alpha[/tex]
where [tex]g=9.81 m/s^2[/tex] and [tex]\alpha=30^{\circ}[/tex]. This force points along the direction of the motion (down). The second one is the frictional force, acting against the motion, as well along the inclined plane:
[tex]-m g \mu_D[/tex]
where [tex]\mu_D[/tex] is the dynamic frictional coefficient, and we have to find the value of this. The negative sign means the force is acting against the direction of the motion.

Newton's second law states that the resultant of the forces acting on the object is equal to the product between the mass m and the acceleration a:
[tex]mg \sin \alpha - mg \mu_D = ma[/tex]
So we can write the acceleration as
[tex]a=g \sin \alpha - g \mu_D[/tex]

Now, we can use the law of motion along the direction of the inclined plane. For an uniformly accelerated motion, we have
[tex]S= \frac{1}{2} a t^2 [/tex]
Assuming the object is initially at rest. But S, in our problem, is exactly the lenght of the plane:
[tex]S=L=5.8 m[/tex]
So we can substitute a inside the formula and we get
[tex]L= \frac{1}{2} (g \sin \alpha - g \mu_D) t^2 [/tex]
From which we get
[tex]\mu_D = \sin \alpha - \frac{2L}{gt^2} [/tex]
and using the time given by the problem, [tex]t=3.9 s[/tex] and [tex]L=5.8 m[/tex], we find
[tex]\mu_D = 0.422[/tex] 
The component of weight(mg) that is responsible for the motion of boxes on ramp is:
[tex]m*g*sin \alpha [/tex]

Where m = mass of the boxes.
g = Acceleration due to gravity = 9.8[tex]m/s ^{2} [/tex]
[tex] \alpha [/tex] = The angle the ramp makes with the ground. In this case it is 30°.

Since the frictional force is:
[tex]F_{f} = [/tex]μ*N.

Where,
μ = Frictional Coefficient
N = Normal to the ramp = [tex] m*g*cos\alpha [/tex]

Therefore, the frictional force becomes = [tex]F_{f}[/tex] = μ*[tex]m*g* cos \alpha [/tex]

Apply Newton's second law we would get:
[tex]m*g*sin \alpha [/tex] -  μ*[tex]m*g* cos \alpha [/tex] = [tex]m*a[/tex]

=> [tex]a[/tex]=[tex]g*(sin \alpha - [/tex]μ [tex]cos \alpha )[/tex] -- (A)

Now according to equation of motion:
[tex]x = x_{o} + v_{o}*t + 1/2 * a * t^{2} [/tex]

Where x = 5.8m
[tex]x_{o}[/tex] = 0
[tex]v_{o}[/tex] = 0
[tex]t^{2}[/tex] = 10.24

Plug in the value in the above equation you would get:
[tex]a[/tex] = 1.1328[tex]m/s ^{2} [/tex]


Plug in [tex]a[/tex] in equation (A) and solve for μ, you would get,
μ = 0.4439   

A transverse wave on a rope is given by y(x,t)= (0.750cm)cos(π[(0.400cm−1)x+(250s−1)t]). part a part complete find the amplitude.

Answers

The amplitude of a wave corresponds to its maximum oscillation of the wave itself. 
In our problem, the equation of the wave is
[tex]y(x,t)= (0.750cm)cos(\pi [(0.400cm-1)x+(250s-1)t])[/tex]
We can see that the maximum value of y(x,t) is reached when the cosine is equal to 1. When this condition occurs,
[tex]y(x,t)=0.750 cm[/tex]
and therefore this value corresponds to the amplitude of the wave.

The amplitude of the given transverse wave in the rope is [tex]\boxed{0.750\,{\text{cm}}}[/tex].

Further Explanation:

The given expression of the wave developed in the rope is.

 [tex]y\left( {x,t} \right) = \left( {0.750\,{\text{cm}}} \right)\cos \left( {\pi \left[ {\left( {0.400\,{\text{cm}} - {\text{1}}} \right)x + \left( {250\,{\text{s}} - 1} \right)t} \right]} \right)[/tex]

The standard equation of the wave produced in a rope is given as.

[tex]\boxed{y\left( {x,t} \right) = A\cos \left( {kx + \omega t} \right)}[/tex]

Here, [tex]y[/tex] is the position of the wave, [tex]A[/tex] is the amplitude of the wave, [tex]k[/tex] is the wave number and [tex]\omega[/tex] is the angular frequency of the wave.

On comparing the above equation of the wave with the standard equation of the wave produced in a rope, the amplitude of the wave can be obtained as follows.

 [tex]A = 0.750\,{\text{cm}}[/tex]

Thus, the amplitude of the given transverse wave in the rope is [tex]\boxed{0.750\,{\text{cm}}}[/tex].

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Answer Details:

Grade: High School

Chapter: Waves

Subject: Physics

Keywords:  Transverse, wave, amplitude, angular frequency, stationary wave, rope, velocity, position, wave number.

Sam boards a ski lift, and rides up the mountain at 6 miles per hour. once at the top, sam immediately begins skiing down the mountain, averaging 54 miles per hour, and does not stop until reaching the entrance to the lift. the whole trip, up and down, takes 40 minutes. assuming the trips up and down cover the same distance, how many miles long is the trip down the

Answers

The general relationship between space S and time t for an uniform motion is
[tex]S=vt[/tex] 
with v being the velocity.
For the motion going up, we have [tex]v_{up}=6 mph[/tex], so we can write
[tex]S_{up} = 6 t_{up}[/tex]
While for the motion going down, we have [tex]v_{dn} = 54 mph[/tex], and so
[tex]S_{dn} = 54 t_{dn}[/tex]
The problem says that two distances covered up and down are the same, so we can write
[tex]6 t_{up} = 54 t_{dn}[/tex]
and so
[tex]t_{up} = 9 t_{dn}[/tex]

We also know that the total time of the motion (up+down) is 40 minutes, which corresponds to [tex] \frac{2}{3} [/tex] of hour. So we can write
[tex]t_{up} + t_{dn} = \frac{2}{3} [/tex]
Substituting [tex]t_{up} = 9 t_{dn}[/tex] as we found before, we can find the value of [tex]t_{dn}[/tex]:
[tex]9 t_{dn}+t_{dn} = \frac{2}{3} [/tex]
[tex]t_{dn} = \frac{1}{15} h [/tex]
And so we find also
[tex]t_{up}=9t_{dn}= \frac{3}{5}h [/tex]

And from [tex]t_{dn}[/tex], we can finally find how long is the trip going down:
[tex]S_{dn}=54 t_{dn}=54 \cdot \frac{1}{15} = 3.6 mil[/tex]
So, 3.6 miles.
Let us divide this problem into two parts:
1) Sam rides up the mountain.
2) Sam rides down the mountain.

1. 
Since speed is distance over time, as:
[tex]v = \frac{s}{t} [/tex]

Therefore, distance would be:
[tex]s_{up} = v_{up} * t_{up} [/tex]

Where s = distance,
v = speed,
t = time.

In the problem, Sam's speed while riding up is v = 6 miles/hour = (6 * 1609.34 / 60) = 160.934 meters/second(in SI Units). Plug this value in the above equation, you would get:

[tex]s_{up} = 160.934 * t_{up}[/tex] --- (A)

2. 
As Sam rides down the mountain, the speed given is:
[tex]v_{down} = 54 miles/h[/tex]

Convert it in SI units; the speed would be in SI unit:
v = 54 miles/hour = (54 * 1609.34 / 60) = 1448.406 meters/second(in SI Units). Plug this value in the distance equation, you would get:
[tex]s_{down} = 1448.406 * t_{down}[/tex]

Since the [tex]s_{up} = s_{down}[/tex], therefore,

[tex]160.934 * t_{up} = 1448.406 * t_{down}[/tex]

=> 
[tex] t_{up} = 9 t_{down}[/tex]

Now the condition is that the whole trip, up and down, takes 40 minutes(2400seconds), it means:
[tex]t_{up} + t_{down} = 2400[/tex]

Plug in the value of [tex]t_{up} [/tex] in the above equation, you would get:
[tex]t_{down} = 240[/tex]

Therefore,
[tex]s_{down} = 1448.406*240[/tex]
[tex]s_{down} = 347617.44[/tex] meters (in relation to seconds)

[tex]s_{down} = 5793.624[/tex] meters (in relation to hours)

Now the last step is to convert meters into miles, you would get:
[tex]s_{down} = 5793.624/1609.34 = 3.6miles[/tex]

So the answer is 3.6miles.

Assume the second cart moves in the negative direction. two carts with masses of 4.6 kg and 3.3 kg move toward each other on a frictionless track with speeds of 5.1 m/s and 4.9 m/s, respectively. the carts stick together after colliding head-on. find their final speed. answer in units of m/s.

Answers

The total momentum of the system (cart 1+ cart 2) is conserved after the collision. 
The initial momentum is
[tex]m_1 v_1 - m_2 v_2[/tex] (1)
where the negative sign in front of cart 2 momentum is due to the fact it goes in the opposite direction of cart 1.
The final momentum is
[tex](m_1 + m_2) v_f[/tex] (2)
because the two carts stick together, therefore their total mass is (m1+m2) moving at the new speed vf.

By requiring that (1) is equal to (2), we can solve to find the final speed vf:
[tex]m_1 v_1 - m_2 v_2 = (m_1 + m_2) v_f[/tex]
[tex]v_f = \frac{m_1 v_1 - m_2 v_2}{m_1+m_2}= \frac{(4.6 kg)(5.1 m/s)-(3.3 kg)(4.9 m/s)}{4.6 kg+3.3 kg} =0.9 m/s [/tex]
where the positive sign means the two carts are now going in the positive direction (i.e. the initial direction of cart 1)

Which arrow best represents the path of an object with projectile motion?

Answers

Answer:

C

Explanation:

Projectiles follow a parabolic path and I got it right on the quiz

Answer:

C

Explanation:

it takes 1.0h to drive 20km through a city during rush hour your (Blank) speed is 20km/h

Answers

Your average speed is 20 km/h.

Final answer:

The question involves calculating average speed by dividing distance traveled by time of travel. In the example, for a 20 km drive taking 1.0 hour, the average speed is 20 km/h. Another scenario provided explains how to convert average speed to different units given a trip from school to home.

Explanation:

The question asks about calculating average speed during a trip, which can be determined by dividing the total distance traveled by the total time of travel. In the given scenario, the student has a 1.0 hour trip to cover 20 km, which correctly yields an average speed of 20 km/h. To calculate average speed, you simply use the formula:

Average speed = Total distance / Total time

For a more detailed example, if you drive 10.0 km from your school to home in 20.0 minutes, it's necessary to convert minutes to hours by dividing by 60. You would then calculate the average speed in kilometers per hour (km/h) and convert the result to meters per second (m/s), if needed, using the appropriate conversion factors (1 km = 1000 m and 1 hr = 3600 seconds).

Because there is very little friction, the lever is an extremely efficient simple machine. using a 90.0% efficient lever, what input work is required to lift a(n) 19.0 kg mass through a distance of 45 cm? 3232 incorrect: your answer is incorrect. seenkey 93.2 j

Answers

more simply efficiency n=output work/input work =mgh/W(in)W(in) =18*9.81*0.5/0.90=98.1 Joule

Answer:

Input work: 93.2 J

Explanation:

The work efficiency formula is:

efficiency = output work/ input work

Solving for input work:

input work = output work/efficiency  

The work required to lift an object is computed as follows:

Output work = mass * gravity * height

Using mass in kg, gravity in m/(s^2) and height in m; then work is expressed in Joules. Combining the equations and replacing with data, we get (units are omitted):

input work = 19*9.81*0.45/0.9 = 93.2 J

Note that 45 cm is equivalent to 0.45 m

As a moon follows its orbit around a planet, the maximum grav- itational force exerted on the moon by the planet exceeds the minimum gravitational force by 11%. find the ratio rmax/rmin, where rmax is the moon's maximum distance from the center of the planet and rmin is the minimum distance.

Answers

The gravitational force exerted on the moon by the planet when the moon is at maximum distance [tex]r_{max}[/tex] is
[tex]F_{min}=G \frac{Mm}{r_{max}^2} [/tex]
where G is the gravitational constant, M and m are the planet and moon masses, respectively. This is the minimum force, because the planet and the moon are at maximum distance.

Similary, the gravitational force at minimum distance is
[tex]F_{max}=G \frac{Mm}{r_{min}^2}[/tex]
And this is the maximum force, since the distance between planet and moon is minimum.

The problem says that [tex]F_{max}[/tex] exceeds [tex]F_{min}[/tex] by 11%. We can rewrite this as
[tex]F_{max}=(1+0.11)F_{min}=1.11 F_{min}[/tex]

Substituing the formulas of Fmin and Fmax, this equation translates into
[tex] \frac{1}{r_{min}^2}=1.11 \frac{1}{r_{max}^2} [/tex]
and so, the ratio between the maximum and the minimum distance is
[tex] \frac{r_{max}}{r_{min}}= \sqrt{ 1.11 }=1.05 [/tex]

Calculate the kinetic energy of an 86-kg scooter moving at 16 m/s

Answers

The kinetic energy of an 86 - kilogram scooter moving at 16 m / s would be  11008 Joules.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

As given in the problem, we have to calculate the kinetic energy of an 86 - kilogram scooter moving at 16 m / s ,

The mass of the scooter = 86 kilogram

The velocity fo the scooter = 16 meters per second

The kinetic energy of the scooter = 0.5 × m × v²

                                                        = 0.5 × 86 × 16²

                                                        = 11008 Joules

Thus , the kinetic energy of an 86 - kilogram scooter moving at 16 m / s would be  11008 Joules .

To learn more about mechanical energy , refer to the link ;

brainly.com/question/12319302

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The kinetic energy of an 86-kg scooter moving at 16 m/s is calculated using the formula KE = ½ mv², resulting in 10,976 Joules or 10.976 kJ of kinetic energy.

To calculate the kinetic energy of an 86-kg scooter moving at 16 m/s, you can use the kinetic energy formula KE = ½ mv², where m is mass and v is velocity. Substituting the given values, we get KE = ½ (86 kg) (16 m/s)². After performing the calculation, the kinetic energy of the scooter is found to be 10,976 Joules or 10.976 kJ.

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