a 1.2 x 10^4 kg railroad car is coasting along a level, frictionless track at a constant speed of 25m/s, when a 3000 kg load is dropped vertically onto the car from above. What will its new speed be assuming the load stays on the car??

Answers

Answer 1

Answer:

[tex]20\; \rm m \cdot s^{-1}[/tex].

Explanation:

Because the track is level and frictionless, the net force on this car-load system will be zero in the horizontal direction. As a result, (by Newton's Second Law of mechanics,) the total momentum of this system in the horizontal direction will stay the same.

Momentum of the car-load system in the horizontal direction, before contact:

Car: [tex]m(\text{car}) \cdot v(\text{car, before}) = 1.2 \times 10^{4}\; \rm kg \times 25\; m \cdot s^{-1} = 3.0 \times 10^{6}\; \rm kg \cdot m \cdot s^{-1}[/tex].Load: zero (for it is dropped "vertically.")

Combine the two parts to obtain: [tex]p(\text{system, before}) = 3.0 \times 10^{6}\; \rm kg \cdot m \cdot s^{-1}[/tex].

Because the load stays on the car, the car and the load should have the same horizontal velocity after contact. Let [tex]v(\text{system})[/tex] denote that velocity. Momentum of the system after contact:

Car: [tex]m(\text{car}) \cdot v(\text{car, after}) = 1.2 \times 10^{4}\; \rm kg \times (\mathnormal{v}(\text{system}))[/tex].Load: [tex]m(\text{load}) \cdot v(\text{load, after}) = 3000\; \rm kg \times (\mathnormal{v}(\text{system}))[/tex].

Combine to obtain:

[tex]p(\text{system, after}) =1.5\times 10^{4}\; \rm kg \times (\mathnormal{v}(\text{system}))[/tex].

Because the total momentum of the system will stay the same:

[tex]\begin{aligned}&1.5\times 10^{4}\; \rm kg \times (\mathnormal{v}(\text{system}))\\ &= p(\text{system, after}) \\&= p(\text{system, before}) \\ &= 3.0\times 10^{6}\; \rm kg \cdot m \cdot s^{-1}\end{aligned}[/tex].

Solve for [tex]v(\text{system})[/tex] to obtain:

[tex]v(\text{system}) = 20\; \rm m\cdot s^{-1}[/tex].

In other words, the new velocity of the system would be [tex]20\; \rm m \cdot s^{-1}[/tex].


Related Questions

Assume each mark on the scale represented 1 g. Estimate how much a sheet of paper would mass. A sheet of paper is 28 cm by 21.7 cm.

Answers

Answer:

607.6g

Explanation:

Assume each mark on the scale represented 1 g. That is 1 cm = 1g

To estimate how much a sheet of paper would mass a sheet of paper is 28 cm by 21.7 cm, first calculate the area.

Area = 28 × 21.7 = 607.6 cm^2

Mass = 607.6 × 1g = 607.6 g

Therefore, the estimation will be 607.6g

What is the distance of 0m and jogs 300m east

Answers

Since we’re going east then, you should added double 300 so that makes your answer 600m.

A running back with a mass of 70 kg travels down the field with a velocity of 5.0 ms . Calculate the kinetic energy of the football player.

Answers

Kinetic energy=0.5*mass*(velocity²)=0.5*70*5*5=875 J

se the IUPAC nomenclature rules to give the name for this compound - CaS.

Answers

Answer:

Calcium sulphide

Explanation:

If we look at the compound, we will discover that it is an ionic compound. The compound is comprised of Ca^2+ and S^2-.

The cation Ca^2+ is the calcium ion while the anion S^2- is the sulphide ion hence the compound is rightly named calcium sulphide.

__________ is the school of psychology that believes perception is more than the sum of its parts—it involves a whole pattern. A. Behaviorism B. Structuralism C. Functionalism D. Gestalt psychology Please select the best answer from the choices provided A B C D

Answers

Answer:

(D. Gestalt psychology) , is the school of psychology that believes perception is more than the sum of its parts, it involves a whole pattern .

This type of school of psychology studied how all components of sensations are assembled into one's perception .

hope this helps :)

Answer:

Gestalt psychology is the school of psychology that believes perception is more than the sum of its parts—it involves a whole pattern.


Recall the definition of a parsec.

Answers

Explanation:

One parsec is the distance to an object whose parallax angle is one arcsecond. The radius of the Earth's orbit equals one astronomical unit (AU), so an object that is one parsec distant is 206,265 AU (or 3.26 light-years) away

Answer:

Parsec is a unit of distance used in astronomy, equal to about 3.26 light years (3.086 × 10^13 kilometres). One parsec corresponds to the distance at which the mean radius of the earth's orbit subtends an angle of one second of arc.

Hope this helps!

A cross-country skier moves 32 meters westward, then 54
meters eastward, and finally 68 meters westward.Whats the magnitude.

Answers

Explanation:

It is given that, a cross-country skier moves 32 meters westward, then 54  meters eastward, and finally 68 meters westward.

The attached figure shows the whole scenario. He starts walking 32 m west and finally it walks 68 m west.

Let west is negative and east is positive.

Displacement = final position - initial position

= -68 - (-32)

= -36 m

The magnitude of displacement is equal to 30 m westwards.

Diya visited a tailor shop and bought home three cuttings of fabric A,B and C to study their properties. Diya tried burning the three fibres. Fabric A smelt of burning paper,fabric B smelt of burning hair while fabric C shrunk on burning. Can you help Diya identify fabrics A,B and C

Answers

Answer:

Rayon

Wool

Silk Yarn

Explanation:

Rayon

This is Fabric A. Rayon basically burns very quickly even quicker than fabrics like cotton and linen. Its ash is gray in color. The rayon fabric smells of burning paper when it is burnt.

Wool:

This is Fabric B. Wool is basically hard to ignite. It burns slowly. Its ash is dark in color. The wool fabric smells of burning hair when it is burnt.

Silk Yarn:

This is Fabric C. The silk yarn shrinks from the flame when it is burned. It has a grayish black ash. The silk yarn fabric smells burnt meat of  when it is burnt.

A car travels for an hour at a speed of 20 km/r, the next two hours at a speed of 65 km/r and the final hour at a speed of 85 km/r. What is the average speed of the car for the entire trip

Answers

Answer:

170km/hr

Explanation:

Vav=v1+v+v3.....

A car travels for an hour at a speed of 20 km/hour, the next two hours at a speed of 65 km/hour, and the final hour at a speed of 85 km/hour, then the average speed of the car in the entire trip would be  56.25 kilometers/hour.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

As given in the problem,if a car travels for an hour at a speed of 20 km/hour, the next two hours at a speed of 65 km/hour, and the final hour at a speed of 85 km/hour,

The total distance traveled by car =  20×1 + 65×2 +85×1

                                                        =225 kilometers

The total time taken by the car = 4  hours

The avearge speed of the car = 225/4

                                                    =56.25 kilometers/hour

Thus,the average speed of the car would be 56.25 kilometers/hour.

                     

To learn more about speed from here,refer to the link;

brainly.com/question/7359669

#SPJ2

If I walked3 miles. The reference point used to calculate the to ta l distance that I walked was the same as the ending point. What describes where I most likely walked?

Answers

Answer:

Walked on a circular nature trail

Explanation:

We are told that you walked 3 miles.

Now, we are also told that the reference point used to calculate the total distance that you walked was the same as the ending point.

For, one to end up at the same place where he started a journey using the same reference point, it means the journey was not a straight line but a circle because the radius would have to be constant for that to happen.

Thus, it means you walked on a circular nature trail.

which instrument is most easily used to measure the internal diameter of a pipe? a. manometer b. measuring cylinder c. micrometer d. vernier calipers

Answers

Answer:

vernier calipers....................

Answer:

d. vernier calipers

Explanation:

manometer is used for measuring pressure

measuring cylinder is for liquids

micrometer can only measure objects less than 2.5 cm (like a  thin wire)

so the answer is vernier calipers, they have a measuring range of 1-15 cm.

George walks to a friend's house. He walks 850 meters north before he realizes he walked too far.
He turns around and walks 250 meters south. The entire walk takes 25 seconds. What is George's
velocity in m/s?

Answers

Answer:

44 m/s

Explanation:

In this problem we are expected to calculate the velocity of Georges movements.

Given data

Total distance covered by  George= 850+250= 1100 meters

Time taken  by  George to cover the total distance= 25 seconds

We know that velocity is, v= distance/ time

Therefore substituting our data into the expression for velocity we have

v= 1100/ 25= 44 m/s

Hence the velocity in m/s is 44

The velocity of George is 44 m/s.

Calculation of the velocity:

Since

Total distance covered by  George= 850+250= 1100 meters

Time is taken by  George to cover the total distance= 25 seconds

We know that

velocity is, v= distance/ time

So,

v= 1100/ 25

= 44 m/s

Hence the velocity in m/s is 44.

Learn more about velocity here: https://brainly.com/question/13568037

Question 51 pts Which of the following illustrates an increase in potential energy? Group of answer choices a wind-up toy winding down an apple dropping from a tree a person climbs a set of stairs a firecracker explodes

Answers

Answer:

a person climbs a set of stairs

Explanation:

A person climbing a set of stairs increases his height, which also increases his gravitopotential energy. Gravitopotential energy increases with height as you move further away from the surface of the Earth.

A wind up toy winding down is already expending its stored up potential energy. An apple falling from a tree is already losing its gravitipotential energy. A firecracker that explodes is already using up the potential energy stored in its chemical. All these are cases where the potential energy is decreasing.

A capacitor of capacitance C has charge Q and stored energy is U if the charge is increased to 2Q then energy will be A)4U B)2U C)U/2 D)U/4

Answers

Answer:

2u

Explanation:

2u

W = Vq

q = CV

W = V.CV

W = CV²

W/C = V²

V = √(W/C)

√(W1/C1) = √(W2/C2)

√(u/c) = √(x/2c)

x = 2u

You are heating a substance in a test tube. Always point the open end of the tub

Answers

Away from all people? It’s safest

-I could be wrong but I am pretty sure since you wouldn’t point something dangerous towards others :/

Answer:

Away from all ppl

Explanation:

32.What is the area under the curve between 0 seconds and 2 seconds?

33. At what timeſs) is the car not moving?

Answers

Explanation:

32. The area under the curve from t = 0 and t = 2 is the area of the triangle.  The base of the triangle is 2 seconds, and the height of the triangle is 2 m/s.  The area is therefore:

A = ½ bh

A = ½ (2 s) (2 m/s)

A = 2 m

33. The car is not moving when the velocity is 0 m/s.  This occurs at t = 0, t = 6, and t = 10.

What should you do if...
3. You are in doubt about any procedure?

4. Your clothes catch on fire?

5. You broke a glass?

6. Chemical splashes in your eyes?

7. To prevent chemical splashes into an eye or  a foreign object gets stuck in one?

8. You injure yourself or lab partner?

9. You use hot plate in the experiment?

Answers

Answer:

3. you need to ask your available lab instructors what to do.

4. You immediately have to drop down your cloth and roll it to extinguish the fire or move to the emergency shower if available

5. You have too keep calm and report to the lab instructor but do no shout.

6. Move immediately to the eye rinse basin if available and wash your eyes gently and thoroughly

A toy uses a spring to shoot an arrow with a suction cup on the end. The toy shoots a 34.2 g arrow and gives it a speed of 5.50 m/s. If the efficiency of the toy is 69.0%, how much elastic potential energy was stored in the spring? Show all your work.

Answers

Explanation:

When spring is used to shoot an arrow, the Elastic Potential Energy is converted into Kinetic Energy.

The efficiency of Spring Toy = 69%

According to Conservation of Energy :

P. E. = K. E.

NOW,

69% of P. E. = m * v^2 / 2

[tex]P.E. = \frac{0.0342 \times 5.5 \times 5.5}{2 \times 0.69} = 0.75J[/tex]

Friends tell you that on a recent trip their average velocity was +20 m/s. Is it possible that at any time during their trip their velocity was -20 m/s? Explain, and give an example to justify your answer. PLEASE HELP

Answers

Answer: Yes. Please find the answer in the explanation.

Explanation:

Yes. Since velocity is a vector quantity, that is, it has both magnitude and direction.

If the displacements covered are not of the same direction, the velocity will not also of the same direction.

Take for instance, if the velocity in a positive is 40 m/s and velocity in the opposite direction is - 20 m/s . Then, the resultant velocity will be 40 - 20 = 20 m/s

Therefore,  it is possible that at any time during their trip their velocity was -20 m/s.

A car with a mass of 1,500 kg is traveling at a speed of 30 m/s. What force must be applied to stop the car in 3 seconds?​

Answers

Explanation:

F = ma

F = m Δv / Δt

F = (1500 kg) (0 m/s − 30 m/s) / 3 s

F = -15,000 N

How can physicists use Newton’s laws of motion and universal gravitation to predict objects’ motion?

Answers

Answer:

Newtons law of universal gravitation is the phenomena in which Newton said that every particle in environment will attract other particles in the space.  

Explanation:

Newton law of motion and gravitation attract forcefully which is direct proportional to the masses of the particles and inversely proportional to the square of the distances between the centers. Other physicist used Newtons law in research related to motion or to find out the distance between earth and sun. Because this law is about the mass of the objects. When the mas of an object is doubled, the force between the objects get too doubled. When the mass of the two objects is doubled the gravitational pull between these two objects gets doubled. Sir Isaac Newton first gave this law when see fall down an apple from tree.

Formula is : F = G  Mm/r2 Here G is gravitational pull that is constant.

How to solve this step by step.

Answers

Answer:

a = (v² − v₀²) / (2 (x − x₀))

Explanation:

v² = v₀² + 2a(x − x₀)

Subtract v₀² from both sides.

v² − v₀² = 2a(x − x₀)

Divide both sides by 2 (x − x₀).

(v² − v₀²) / (2 (x − x₀)) = a

differences between fundamental unit and derived unit (any two)​

Answers

Answer:

Fundamental units are the units of the fundamental physical quantities in SI system. They are not formed from other units. There are a total of seven fundamental units such as meter, kilogram, ampere, and second. Derived units are those units that are used for derived quantities.

Explanation:

Hope it helps

a cheetah has a speed of 100 km/h. if the cheetah runs for 5 hours, then what’s it’s speed ?

Answers

Answer:

Explanation:

idk

if 1,000 J of energy is added to a steak engine, and 400 J of work is done by the engine, how much thermal energy ends up being added to the engine

Answers

Answer:

To indicate that energy has been added or removed as heat or work to a system, the internal energy of the system is calculated.

This is because:

1- the internal energy follows the formula:

ΔU = Q - W

2- the internal energy is indicated by any alternation in temperature

Therefore, the answer is:

internal energy

Tech A says that batteries should be charged as fast as possible. Tech B says that the ideal charging rate is the CCA divided by 70. Who is correct?

Answers

Answer:

Neither A nor B

Explanation:

The charge rate of a battery is the rate at which charge is added to the battery in a given time unit. The unit of charge rate is Coulombs/second or amps

The time to charge a battery, is given by  the battery charging formula which is given as follows;

Battery charging time, t = Battery Ah(Ampere hour)/(Charging current, A)

T = Ah/A

Where;

T = Time (Hours)

Ah = The rating of the battery in Ampere Hour

A = The Current applied given in Amperes

The charging current should 10% of the Ah battery rating, such that a 120 Ah battery requires about 12 Amperes charging current

However, due to losses in the system, the current can be set at 13A

the time for charging will then be t = 120/13 = 9.23 hours

For a body of Mass ‘m’ moving in a circle of radius ‘r’ if its velocity is halved, what will be the effect on the value of centripetal force?

Answers

Explanation:

F = mv²/r

If the velocity is halved:

F' = m(v/2)²/r

F' = ¼ mv²/r

F' = ¼ F

The centripetal force is reduced by a factor of 4.

Physics Homework
1. A swimmer is in Lake Lanier practicing a 100 m individual medley event. They swim East 25
m using butterfly, West 25 m using backstroke, East 25 m using breaststroke, and finally West
25 m using freestyle. This event takes them 70 seconds to complete.
T
a. What was the swimmer's average speed?
b. What was the swimmer's average velocity?

Answers

Explanation:

a. Average speed = distance / time

= 100 m / 70 s

= 1.43 m/s

b. Average displacement = displacement / time

= 0 m / 70 s

= 0 m/s

Distance is the length of the path traveled.  Displacement is the difference between the final position and initial position.

The density of a certain type of glass is 25g/cm3. A piece of the glass has a mass of 125g. Calculate its volume

Answers

Given:-

Density = 25 g/cm³

Mass = 125 g

To be calculated:-

Calculate its volume.

Formula used:-

Density = Mass/volume

=> 25 = 125/Volume

=> Volume = 125/25

=> Volume = 5 cm³

How much time does a bike with an acceleration of 2ms-2 take to increase its velocity from 10ms-1 to 30ms-1?​

Answers

Answer:

[tex] \boxed{\sf Time \ taken = 10 \ seconds} [/tex]

Given:

Initial velocity (u) = 10 m/s

Final velocity (v) = 30 m/s

Acceleration (a) = 2 m/s²

To Find:

Time taken (t) by bike to increase its velocity from 10 m/s to 30 m/s with an acceleration of 2 m/s²

Explanation:

[tex]\sf From \ equation \ of \ motion:[/tex]

[tex] \boxed{ \bold{v = u + at}}[/tex]

Substituting values of v, u & a in the equation:

[tex] \sf \implies 30 = 10 + 2t[/tex]

Substract 10 from both sides:

[tex] \sf \implies 30 - 10 = (10 - 10) + 2t[/tex]

[tex] \sf \implies 20 = 2t[/tex]

20 = 2t is equivalent to 2t = 20:

[tex] \sf \implies 2t = 20[/tex]

Dividing both sides by 2:

[tex] \sf \implies \frac{ \cancel{2}t}{ \cancel{2}} = \frac{20}{2} [/tex]

[tex] \sf \implies t = \frac{10 \times \cancel{2}}{ \cancel{2}} [/tex]

[tex] \sf \implies t = 10 \: s[/tex]

So,

Time taken (t) by bike to increase its velocity from 10 m/s to 30 m/s with an acceleration of 2 m/s² = 10 seconds

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