A 1200-kg car is moving at 17.0 m/s due north. A 1600-kg car is moving at 21.0 m/s due east. The two cars simultaneously approach an icy intersection where, with no brakes or steering, they collide and stick together.

1)
Determine the speed of the combined two-car wreck immediately after the collision. (Express your answer to two significant figures.)

2)
Determine the direction of the combined two-car wreck immediately after the collision. (Express your answer to two significant figures.)

Answers

Answer 1

Answer:

f

Explanation:

Answer 2

The speed of the two-car wreck right after the crash is 13.9 m/s, and the direction is 58.4° east of north.

Momentum conservation can address this problem. Before and after the collision, momentum is equal. Calculate the two-car wreck's speed and direction after the collision:

Step 1: Calculate automobile beginning momentum.

Mass (m) times velocity (v) equals momentum (p).

Northbound 1200-kg car:

Initial momentum of the 1200-kg automobile (p₁) = mass (m₁) × velocity (v₁).

p₁ = 1200 kg × 17.0 m/s = 20,400 kg/s (North direction).

1600-kg eastbound car:

The 1600-kg car's initial momentum (p₂) = m₂ × v₂.

p₂ = 1600 kg × 21.0 m/s = 33,600 kg/s (East direction).

Step 2: Calculate the pre-collision momentum.

The vector sum of the two automobiles' momentum before the accident is p[tex]_total[/tex].

p[tex]_total[/tex] = p₁+p₂.

p[tex]_total[/tex] = 20,400 kg m/s (North) + 33,600 (East)

Step 3: Calculate the two cars' combined mass after the collision.

Combined mass (m[tex]_combined[/tex]) = 1200-kg + 1600-kg cars.

m[tex]_combined[/tex] = 1200 + 1600 = 2800 kg

Step 4: Determine the two-car wreck's velocity after the accident.

Total momentum after the collision (p[tex]_combined[/tex]) is the same as before, but it belongs to the combined mass (m[tex]_combined[/tex]) travelling at the velocity (v[tex]_combined[/tex]) in a given direction:

p[tex]_combined[/tex] = m[tex]_combined[/tex] × v[tex]_combined[/tex]

Since the collision is inelastic (cars stick together), momentum remains the same.

= p[tex]_total[/tex]

m[tex]_combined[/tex] × v[tex]_combined[/tex] = 20,400 kg/s (North) + 33,600 kg/s (East).

Step 5: Determine the two-car wreck's speed and direction.

Calculating the resultant vector of the North and East momentum components gives the combined two-car wreck's velocity (speed) (v[tex]_combined[/tex]).

(v[tex]_combined[/tex][tex]_north²[/tex] + v[tex]_combined[/tex][tex]_east²[/tex])

Where:

North velocity is v[tex]_combined[/tex][tex]_north[/tex].

East velocity is v[tex]_combined[/tex][tex]_east[/tex].

v[tex]_combined[/tex][tex]_north[/tex] = 20,400 kg m/s, 2800 kg, 7.29 m/s (North).

v[tex]_combined[/tex][tex]_east[/tex] = 33,600 kg m/s < 2800 kg × 12.0 m/s (East).

13.9 m/s = (7.29² + 12.0²)

Step 6: Determine the two-car wreck's direction.

Trigonometry can determine direction:

tan() = v[tex]_combined[/tex][tex]_east/north[/tex]

arctan(v[tex]_combined[/tex][tex]_east/north[/tex]) =

arctan(12.0 / 7.29 m/s) arctan(1.645) 58.4°

The two-car crash faces east at 58.4°.

Results summary:

The two-car disaster shortly after the accident is 13.9 m/s.

The two-car crash lies 58.4° east of north following the collision.

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Related Questions

có một hiệu điện thế đặt vào ba điện trở mắc nối tiếp nhau R1, R2, R3. Nếu R1 < R2 < R3 thì điện trở nào chịu hiệu điện thế lớn nhất ? Điện trở nào chịu hiệu điện thế nhỏ nhất ?

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Answer:

There is a potential difference applied to three resistors connected in series R1, R2, R3. If R1 < R2 < R3, which resistor has the greatest potential difference? Which resistor has the smallest voltage?

Explanation:

Why would it be better to record larger forces when trying to determine the frictional coefficient between two objects?​

Answers

Frictional coefficient comes with vale like 0.3/0.1 and such like imaginable values almost all times.So it can be negligible .However it makes the calculation more complex.so it's better to record larger forces.

Each of the rods depicted below were machined from same stock metal. They were originally machined to be the same length, but their cross-sectional areas were different. If axial force is applied to each rod such that they all change length by the same amount, which rod experienced the largest force

Answers

The force required to extend a rod increases as the cross sectional area

increases.

The rod that experiences the largest force is rod B

Reason:

The elongation of a rod by the application of a force is given by the

following formula;

[tex]\Delta L = \dfrac{F \cdot L}{A \cdot E}[/tex]

From the above equation, we have that the elongation is inversely

proportional to the cross sectional area, such that the extension of a rod by

a given force reduces as the cross sectional area of the rod increases.

Therefore, the force required to extend the length of a rod by a specific

amount increases as the cross sectional area of the rod increases,

indicating that the rod with the largest cross sectional area require the

most force and therefore, experiences the largest force.

The rod that experiences the largest force is the rod with the largest cross

sectional area, which is rod B

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An airplane makes a gradual 90 turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. For this turn the magnitude of the average acceleration of the plane is

Answers

Answer:

Explanation:

The plane travels a distance of 200 m/s(20.0 s) = 4000 m

A 90° turn is π/2 radians

4000 = (π/2)R

R = 8000/π m

a = v²/R = 200²/8000/π = 5π m/s² ≈ 15.7 m/s²

When a airplane makes the graduall 90 turn at constant speed the average acceleration is 14.14 m/s.

What is acceleration?

Acceleration equals the change in velocity. The rate of change of velocity per unit time is called acceleration. The unit of acceleration is m/s². It represents the speed of the object along with direction.

Acceleration(a) = dv/dt, dv represents change in velocity and dt represents change in time. Velocity is defined as rate of change of position with time. Acceleration has both magnitude and direction and it is a vector quantity.

Acceleration is of two types- Instantaneous acceleration and average acceleration. Instantaneos acceleration gives the acceleration at that instant where as the average acceleration is obtained by rate of change of velocity with elapsed time.

Average acceleration = Δv / Δt.  Δv is the change in velocity and Δt is the elapsed time.

From the given,

An airplane makes 90° turn,

v₁ = 200 i^ (before 90 turn)

v₂ = 200 j^ (after 90 turn)

Δt = change in time

Average acceleration = Δv / Δt

                                   = v₂ - v₁ / 20

                                   =  200 i^  - 200 j^ /20

                     avg.acc    = 10(-i) + 10 (j)

| avg.acc | = √ 10(-i) + 10 (j)

                 = √2×10

                 = 14.14 m/s²

Hence, the average accleration is 14.14 m/s².

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describe how heat energy can be transferred to either kinetic energy or gravitational potential energy​

Answers

Answer:

Potential energy can transfer into other forms of energy like kinetic energy. Kinetic energy is energy an object has because of its motion. ... If released, as the ball moves faster and faster toward the ground, the force of gravity will transfer the potential energy to kinetic energy.

On a microscopic scale, conduction occurs as rapidly moving or vibrating atoms and molecules interact with neighboring particles, transferring some of their kinetic energy. Heat is transferred by conduction when adjacent atoms vibrate against one another, or as electrons move from one atom to another.

In steam engine , pistons remove some heat energy from hot gases and  then uses these moving pistons to power the device attached that is hooked up . This is how heat energy can be converted to kinetic energy.

Heat engine with their thermal energy can lift up weights or pumping water to a certain height is an example that how thermal energy can be used to move an automobile to higher altitude .

What is Heat/Thermal energy ?

Heat energy is the result of the movement of tiny particles called atoms, molecules or ions in solids, liquids and gases. Heat energy can be transferred from one object to another.

In steam engine , pistons remove some heat energy from hot gases and the steam engine then uses these moving pistons to power the device attached that is hooked up . This is how heat energy can be converted to kinetic energy.

Similarly heat engine with their heat energy can lift up weights or pumping water to a certain height is an example that how heat energy can be used to move an automobile to higher altitude.

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A hypothesis is

a type of research method that involves experimentation

a statement describing the actual outcome of an experiment

the question that forms the foundation for a particular study

a statement describing what the researchers expect to find in a study

Help plz

Answers

Answer:

A hypothesis is a tentative statement about the relationship between two or more variables. It is a specific, testable prediction about what you expect to happen in a study.

A hypothesis is a tentative statement about the relationship between two or more variables. is a specific, testable prediction about what you expect to happen in a study.

Explanation:

This is answer

Answer:

hey there

hypothesis is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be explained with the available scientific theories

Explanation:

hope it helps

have a nice day : )


A student wants to conduct an experiment to determine the rate at which windows transfer energy to the outside air in the winter. The student investigates windows that are made from two parallel
pieces of class with a space in between as shown in the figure. The student decides to investigate how the spacing between the pieces of glass affects the transfer of energy. Which additional
criteria should the student use when selecting windows for the experiment? Select two answers.

A
Select Windows with different areas

B
Select Windows with the space between the pieces of glass filled with different gases

C
Select windows with pieces of glass made from the same type of glass.

D
Select windows with pieces of glass made from the same thickness of glass,

Answers

The characteristics of thermal conductivity and thermal insulation allow finding the correct answers for the window length study experiment to be correct are:

      C.  Select windows with pieces of glass made from the same type of glass.

      D.  Select windows with pieces of glass made from the same thickness of glass,

Thermal transfer processes are determined by the characteristics of the materials and their way of construction, but all of them can be described by the expression.

                [tex]P = \frac{A}{R} \Delta T[/tex]  

                [tex]R = \frac{L}{k}[/tex]  

where P is the heat flux, A the area of ​​the windows, ΔT the variation in temperature, R is the insulating value of the material, L is the length of the compound and k the thermal conductivity.

Let's examine the criteria that the student must have for the experiment to be repetitive and to be able to compare the results, let's examine the different responses:

A) False. The flow is proportional to the area, so to be able to compare the results, all the windows must have the same area.

B) False. This possibility is interesting, but it is difficult to maintain the different atmosphere besides being expensive, gases in normal conditions have very similar properties.

C) True. The thermal conductivity of different glasses changes a lot, so there should not be different glass in the windows.

D) True. The constant R is proportional to the thickness of the glass, so it is essential that all windows have the same thickness glass.

In conclusion, using the characteristics of thermal conductivity and thermal insulation, we can find that the correct answers for the window length study experiment to be correct are:

     C.  Select windows with pieces of glass made from the same type of glass.

      D.  Select windows with pieces of glass made from the same thickness of glass,

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What is the mass of a truck if it produces a force of 14,000 N while accelerating at a rate of 5m/s2

Answers

Answer:

F= mass× acceleration

14000 = mass × 5

mass= 14000÷5

mass= 2800

In a race, Usain Bolt accelerates at
1.99 m/s2 for the first 60.0 m, then
decelerates at -0.266 m/s2 for the final
40.0 m. What was his final velocity? (Unit = m/s)

Answers

100 is his final velocity to his speed

You want to determine if three different concentrations (25%, 50%, & 100%) are equally effective at inhibiting the growth of Streptococcus in the antimicrobial assay; which of the following statistical tests would be most appropriate to use? a) Student's paired t-test b) t-test for two independent groups c) Analysis of Variance (ANOVA) d) 2x2 contingency table (Chi-squared test)

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Answer:

thanks thanks thanks thanks for your points

help huhuhuhuhuhuhuhu​

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Is this past due? I think it is A



1. Can you give an example of any energy transformation where there is no
dissipation of energy?


Answers

Answer:

The notable examples are metal bearings, with occasional lumps on the otherwise smooth surfaces catching against each other, and the flow of an electric

Conversions of Kinetic energy to and from potential energy in vacuum converts with very little loss. If you throw a rock up against gravity in a vacuum, that rock will reach a potential energy that is almost exactly equal to the initial kinetic energy. When the rock reaches its peak and comes back down, its kinetic energy will be almost exactly the same when it reaches the original altitude.

The figure(Figure 1) shows the angular-velocity-versus-time graph for a particle moving in a circle, starting from θ0=0 rad at t=0s. Draw the angular-position-versus-time graph. Include an appropriate scale on both axes.

Answers

Answer:

As position is the product of velocity and time, the area under the velocity-time curve will be the position.

Between 2 and 4 s, the area increases linearly to 20(4) = 80

Between 4 and 6 s, the additional area is 0(2) = 0

Between 6 and 8 s the area increases linearly by -10(2) = -20

which is a decrease.

In the angular-position vs time graph;  The angular position is derived from the area under the velocity vs time graph

Attached below is the angular position vs time graph

Given that : Angular position = Angular Velocity * time

As Time increases from 0 to 4 secs the area increases from 0 to 80 rad

As Time increases from 4 to 6 secs the area remains constant i.e. 0 rad

As Time increases from 6 to 8 secs the area under the graph decreases 80 to 60 rad

Hence we can conclude that the Angular position of the graph is derived from the area under the velocity vs time graph.

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All ball is thrown up with a vertical velocity of 54 m/s and a horizontal velocity of 39 m/s. Calculate how many seconds it will take for it to reach its peak (assume no air resistance). (Answer to two decimal places).

Answers

5.5 s

Explanation:

The time it takes for the ball to reach its maximum height can be calculated using

[tex]v_y = v_{0y} - gt \Rightarrow t = \dfrac{v_{0y}}{g}[/tex]

since [tex]v_y = 0[/tex] at the top of its trajectory. Plugging in the numbers,

[tex]t = \dfrac{(54\:\text{m/s})}{(9.8\:\text{m/s}^2)} = 5.5\:\text{s}[/tex]

What is the change in the internal energy of a system that does 400 joules of
work and absorbs 700 joules of heat?
A. -1,100 J
B. 1,100 J
C. 300 J
D. -300 J

Answers

Answer:

B

Explanation:

HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE​

Answers

[tex]A_x = 5.0[/tex]

[tex]A_y = -6.3[/tex]

Pls Help FAST
Brainliest

Answers

Answer:

1. S

2.×

3.×

4.×

I hope this can help u

Your new motorcycle weighs 2580 N.
The acceleration of gravity is 9.8 m/s2.
What is its mass?
Answer in units of kg.

Answers

Answer:

205 kilograms.

answer ok :)

simple daily routine ? also add habits to make it healthier

Answers

Get 8 to 10 hours of sleep every night, eat a healthy diet, exercise, don’t spend too much time on social media, help others, reach out to friends and family, have a positive mindset, and be open minded

một trái banh đỏ được ném lên từ mặt đất với vận tốc ban đầu 25m/s . cùng lúc đó 1 trái banh xanh được thả xuống từ tầng ba của tòa nhả độ cao 15m. hỏi sao bao lâu 2 trái banh đạt cùng độ sao so với mặt đất

Answers

Answer:

Hshahahjahajjajjajaisjsjs

how is 1 hectoliter diffrent from 1 kiloliter

Answers

The difference between a kiloliter and hectoliter is kiloliter smaller than a hectoliter

Por una tuberia de 2.65 cm de diámetro fluye agua con una velocidad de 5 m/s; en una parte de la
tuberia hay una reducción en su diámetro de 0.65 cm. ¿Qué velocidad llevará el agua en este punto?

Answers

La ecuación de continuidad podemos encontrar el resultado para la velocidad de fluido en la reducción de la tubería es:

       v = 83,1 m/s

La mecánica de fluidos estudia el movimiento de líquidos y gases por diferentes sistemas, la conservación de la masa  es escrita como la ecuación de continuidad

            A₁ v₁ = A₂ v₂

Donde  los subíndices son en dos puntos de interés, A el área de la tubería y v la velocidad del fluido.

Indican la velocidad de fluido es v₁ = 5 m/s y el diámetro de la tubería es d₁= 2,65 cm, piden encontrar la velocidad en la parte con un diámetro de d₂ = 0,65 cm

El área de la tubería es

         A = [tex]\pi ^r^2 = \pi \frac{d^2}{4}[/tex]  

         [tex]v_2 =\frac{A_1}{A_2} \ v_1 \\v_2 = ( \frac{d_1}{d_2} )^2 \ v_1[/tex]  

Calculemos

       v₂ =  [tex]( \frac{2.65}{0.65} )^2 \ 5[/tex]  

       v₂ =  83,1 m/s

En conclusión usando la ecuación de continuidad podemos encontrar el resultado para la velocidad de fluido en la reducción de la tubería es:

      v = 83,1 m/s

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Write 1,000,000w
1,000m
0.001 cm using scientific notation ​

Answers

Answer:

1×10^6 w

1×10^3 m

1×10^(-3) cm

which of the following is not a pure substance. A. air B. water C. gold D. glucose

Answers

Answer:

C. Gold

Explanation:

Why?

Because air , water, glucose is pure substance or liquid

The answer is c gold

Вариант 3.

1. Можно ли считать Землю материальной точкой при определении длины экватора Земли? Ответ поясните

Answers

Answer:

Для ответа на этот вопрос нужно открыть терадочку в том месте, где ты записывала определение материальной точки. На случай, если ты этот момент успешно проспала (что не стало бы сюрпризом), поясню - материальной точкой можно считать тело, размерами которого можно пренебречь. А теперь скажи мне, как можно измерить размер, которым пренебрегаешь?

New metals like bohrium our blank or made by people

Answers

I don’t have an answer to that

the speed of the water at the tap of lower storey is more than that in the upper storey,why?
write in one sentence.

Hurry up​

Answers

With lower, the mechanics have to work harder to give water. Resulting in faster spray. But with upper, they do not have to work as hard which makes it not work as fast.

Assertion: An object will continue moving uniformly on a plane frictionless surface till the resultant force acting on it is Not Zero. Reason: The bodies do not change their state of Rest or uniform motion unless an external unbalanced force acts on it

Answers

A body continues in its state of rest until it is acted upon by an unbalanced external force.

According to Newton's first law of motion, the reason for motion is the action of unbalanced forces. A body will continue in its state of rest or uniform motion unless it is acted upon by an unbalanced  external force. This law also referred to as the law of inertia.

Hence, an object will continue moving uniformly on a plane friction-less surface till the resultant force acting on it is not zero according to this law. Thus, the reason is an explanation for the assertion.

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What is also a product in the chemical reaction of fusion?
A. Energy
B. Water
C. Sugar
D. Carbon dioxide

Answers

Answer:

D.

Explanation:

A

because energy is also a product

How to Convert N/m2 to N/cm2 ?​

Answers

1 newton / square metre =0.0001 newton / square centimetre

Formula = divide the pressure value by 10000

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