A 1232 kg car moving north at 25.6 m/s collides with a 2028 kg car moving north at 17.5 m/s . They stick together. In what direction and at what speed do they move after the collision?

Answers

Answer 1

Answer:

I. Angle = 41.7° Northeast.

II. Vr = 7.08m/s

Explanation:

Let the two cars be denoted by A and B

Given the following data;

Mass of car A = 1232 Kg

Velocity of car A = 25.6 m/s

Mass of car B = 2028 Kg

Velocity of car B = 17.5m/s

First of all, we would solve for momentum;

Momentum = mass × velocity

Momentum, M1 = 1232 × 25.6

Momentum, M1 = 31539.2 Kgm/s

Momentum, M2 = 2028 × 17.5

Momentum, M2 = 35490 Kgm/s

Now, let's find the resultant momentum using the Pythagoras theorem;

R² = M1² + M2²

R² = 31539.2² + 35490²

R² = 994721136.6 + 1259540100

R² = 2254261237

Taking the square root of both sides, we have

Resultant momentum, R = 47479.06 Kgm/s

To find the direction;

Angle = tan¯¹(M1/M2)

Angle = tan¯¹(31539.2/35490)

Angle = tan¯¹(0.89)

Angle = 41.7° Northeast.

To find the speed;

R = (M1 + M2)Vr

47479.06 = (31539.2 + 35490)Vr

47479.06 = 67029.2Vr

Vr = 47479.06/67029.2

Vr = 7.08m/s


Related Questions

3 points
1. Using the digram below, determine which two atoms have the same
atomic number. *
8P
8N
9P
8N
8P
9N
10P
9N
2 and 3
o
2 and 4
1 and 3
ОО
3 and 4
3 points
2. The diagram below is a modern drawing of an atom. Why are no
electrone orbits drawn? *

Answers

Answer:

1 and 2 because atomic number is equal to the numbers of protons in the nucleus

Answer:

yes answer in 1 and 2 these is answer

Put the events in order to explain how radios work.
Radio waves are converted to sound waves
Sound waves are changed into electrical
Radio waves are released by transmitter
by radios
signals by microphones.
towers.

Answers

Answer:

1. Sound waves are changed into electrical

2. Radio waves are released by transmitter

by radios

3. Radio waves are converted to sound waves

Explanation:

Answer:

The person in front of me is right

Explanation:

There’s my proof

Two reindeer-in-training pull on a sleigh. Connie pulls with a force of 200

Nat an angle of 60 degrees above the x-axis, while Randolph pulls with a

force of 800 N at an angle of 60 degrees below the x-axis. What is their

resultant force on the sleigh?

Answers

Answer:

Their resultant force magnitude on the sleigh is approximately 583.095 N

Explanation:

The given parameters are;

The magnitude and direction in which the two reindeer-in-training pull on the sleigh are;

The force with which Connie pulls on the sleigh, F₁ = 200 N

The direction in which Connie pulls on the sleigh = 60° above the x-axis

The force with which Randolph pulls on the sleigh, F₂ = 800 N

The direction in which Connie pulls on the sleigh = 60° below the x-axis

The vector form of the force with which the two reindeer-in-training pulls the sleigh is given as follows;

[tex]\underset{F_1}{\rightarrow}[/tex] = 200 × cos(60°)·i + 200 × sin(60°)·j = 100·i + (100·√3)·j

[tex]\underset{F_2}{\rightarrow}[/tex] = 800 × cos(60°)·i - 800 × sin(60°)·j = 400·i - (400·√3)·j

The resultant force, R = [tex]\underset{F_1}{\rightarrow}[/tex] + [tex]\underset{F_2}{\rightarrow}[/tex]

∴ R = 100·i + (100·√3)·j + 400·i - (400·√3)·j = 500·i - (300·√3)·j

Their resultant force magnitude on the sleigh, [tex]\left | R \right |[/tex] = √(500² + (-300)²) ≈ 583.095 N

The direction of the resultant force = arctan(-300/500) = arctan(-0.6) ≈ -30.964 which is approximately 30.964° below the x-axis.

Please please help you will get the brainlest

Answers

Answer:

1. 40/20=2meters per second

2. 0

3.240/20=12 meters per second

Answer it fast and no spamming....! !
Example 1: Three resisters 10 12,20 ,30 12 ohms, are connected in
(a) Series (b) Parallel. Find the resultant resistance in the circuit.

answer correctly!✌️​

Answers

Answer:

When the resistances are connected in the parallel the equivalent resistance will be always less than the value of the lowest resistance in the parallel circuit.

The equivalent resistance in the parallel circuit can be calculated using the following formula.

1/R=1/R1+1/R2+1/R3

1/R= 1/10+1/20+1/30

1/R=(6+3+2)/60

1/R=11/60

R=60/11

R=5.45 Ohms

6. A student mixed 100 mL of water at 20°C with 100 mL of water at 80 °C. He briefly stirred the mixture for 10 seconds and measured the temperature. The measured temperature of the mixture of water was —​

Answers

Answer: 55 degrees celsius

Explanation:

The measured temperature of the mixture of water was 50°C.

What is thermal equilibrium?

When two physical systems are connected by a heat-permeable path, they are in thermal equilibrium if there is no net flow of thermal energy between them.

The zeroth law of thermodynamics governs thermal equilibrium. A system is said to be in thermal equilibrium with itself if the temperature within it is uniform and constant over time.

Initial temperature of 100 mL of water is 20°C

and Initial temperature of 100 mL of water is 80°C

Let at thermal equilibrium, temperature of the mixture is t° C.

Hence, at thermal equilibrium,

100 mL × ρ × ( t - 20°C) × s = 100 mL × ρ × ( 80°C -t) × s

t - 20° C = 80°C -t

2t = 100°C

t = 50°C

Hence, the measured temperature of the mixture of water was 50°C.

Learn more about thermal equilibrium here:

https://brainly.com/question/29736747

#SPJ2

Match the matter to the wave that moves through it.
sound wave
air
earthquake wave
water
ocean wave
land

Answers

Answer:

Explanation: that’s all

An oxygen atom picks up two additional, free-floating electrons. Is the charge of the newly formed oxygen ion positive, negative, or neutral?

Answers

Answer:

The atom is now a negative charge

Explanation:

Adding electrons makes things negative.

PLAESE ANSWER FAST!!!!! MAKE SURE IT"S RIGHT
How are humans changing the carbon cycle?

Question 2 options:

Humans are burning carbon and putting it into the atmosphere.


Humans are planting more trees to add more oxygen to to the carbon cycle.


Humans are adding carbon to the Earth by over-farming.

Question 3 (0.2 points)
Three hundred years ago, the amount of CO2 flowing into the atmosphere was equal to the amount flowing out of the atmosphere. This is not true today.

Question 3 options:
True
False
Question 4 (0.2 points)
How does carbon dioxide affect the Earth's climate?

Question 4 options:

While carbon dioxide is in the air waiting to be reabsorbed it traps the sun's heat.


Carbon dioxide mixes with water vapor to take harmful chemicals out of the air.


Carbon dioxide is being added to the soil, which causes weather phenomenon.

Answers

(if you have Q1: Carbon is found in: living animals and plants, oceans, rocks, atmosphere, and fossil fuels)

Q2: Humans are burning carbon and putting it into the atmosphere.

Q3: True

Q4: While carbon dioxide is in the air waiting to be reabsorbed it traps the sun's heat.

(and if you have Q5: In the last 250 years, the amount of carbon in the air has increased by 40 percent.)

Suppose a cheetah running at a velocity of 5 m/s east slows down. After 15 seconds, the cheetah has reached a velocity of 25 m/s. What is the
cheetah's acceleration?

Answers

Answer:

1.33m/s²

Explanation:

Given parameters:

Initial velocity  = 5m/s

Final velocity  = 25m/s

Time taken  = 15seconds

Unknown:

Acceleration  = ?

Solution:

Acceleration is the rate of change of velocity with time.

  Acceleration  = [tex]\frac{v - u}{t}[/tex]  

  v is the final velocity

  u is the initial velocity

  t is the time taken

 So;

    Acceleration  = [tex]\frac{25 - 5}{15}[/tex]    = 1.33m/s²

Calculate the pressure of water at depth 10metre given that:Density of water=1000 kg/m^3

Answers

Answer:

We begin by solving the equation P = hρg for depth h: h=Pρg h = P ρ g . Then we take P to be 1.00 atm and ρ to be the density of the water that creates the pressure.

Explanation:

if it helps problem doesn't sorry

Why are paperclips attracted to magnets? Group of answer choices They contain silver They contain aluminum They contain tin They contain iron

Answers

Answer:

They contain iron.

Explanation:

Iron is made of metal and magnets attract to metal Iron.

The blades of your skates slide more easily over ice than do
the soles of your shoes because the skate blades
a
are smoother than your shoes.
b exert less force on the ice.
C
make you weigh less on the ice.
d
none of the above.

Answers

The best answer would be C

Answer:

A

Explanation:

They Are Smoother and the other guy makes no sense.

The useful energy from a computer is carried away from the computer by sound and what else?

Answers

light

Explanation:

a computer has a screen and speakers, which produce light and siund

What..please help me

Answers

Answer:

the answer would be the first choice!

Explanation:

An engineer wants to double the water supply reserve and makes a tank 1.26 times as big as the old one in linear dimension, and the diameter of the legs is 1.41 times as large. Is this big enough?

Answers

Answer:

Yes, it would be enough.

Explanation:

The volume of the tank (cylinder tank) is given by the following equation:

[tex]V_{initial}=\pi (\frac{D}{2})^{2}h[/tex]

Where:

D is the diameter of the tank

h is the height of the tank

Now, the engineer makes a tank 1.26 times as big in heigh and 1.41 times as large with respect to diameter, then the new volume of this tank will be:

[tex]V_{new}=\pi (\frac{1.41D}{2})^{2}1.26h[/tex]    

[tex]V_{new}=1.41^2*1.26\pi (\frac{D}{2})^{2}h[/tex]

[tex]V_{new}=2.51\pi (\frac{D}{2})^{2}h[/tex]

in terms of the initial volume:

[tex]V_{new}=2.51V_{initial}[/tex]

Which means that the volume of the water could be doubled.

I hope it helps you!

Un motociclista arranca desde el reposo y mantiene una aceleración constante de 0.14 m/s^2. Calcular: a) En que tiempo recorrerá una distancia de 1.3 Km/h b) Qué rapidez llevará en ese tiempo en m/s y en Km/h *

Answers

Answer:

[tex]136.28\ \text{s}[/tex]

19.08 m/s or 68.688 km/h

Explanation:

a = Aceleración = [tex]0.14\ \text{m/s}^2[/tex]

s = Desplazamiento = [tex]1.3\ \text{km}=1300\ \text{m}[/tex]

u = Velocidad inicial = 0

t = Tiempo empleado

De las ecuaciones cinemáticas obtenemos

[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow 1300=0+\dfrac{1}{2}\times 0.14t^2\\\Rightarrow t=\sqrt{\dfrac{1300\times 2}{0.14}}\\\Rightarrow t=136.28\ \text{s}[/tex]

El tiempo necesario para recorrer una distancia de 1,3 km es [tex]136.28\ \text{s}[/tex]

[tex]v^2-u^2=2as\\\Rightarrow v=\sqrt{2as+u^2}\\\Rightarrow v=\sqrt{2\times 0.14\times 1300+0}\\\Rightarrow v=19.08\ \text{m/s}=19.08\times 3.6=68.688\ \text{km/h}[/tex]

La velocidad final del automóvil es 19.08 m/s so 68.688 km/h.

Fill in the blank: A _____________ circuit is when there is only one path to and from the power source.

Answers

Answer:

Series.

Explanation:

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex] V = IR[/tex]

Where;

V represents voltage measured in voltage.

I represents current measured in amperes.

R represents resistance measured in ohms.

A series circuit is when there is only one path to and from the power source. Thus, the amount of current flowing through the circuit is the same while the voltage is given by the summation of each voltage across each component in the electrical circuit.


HELP MEEEEEEEEEEEEEEEEE

Answers

Answer:

The metal screw is pushing on the magnet.

If the speed of an object increases, the kinetic energy will ______________ because _____________________________________.

Answers

Increase because kinetic energy is all about the speed of an object and the more speed the more kinetic energy.

What is the mass of an object that requires a force of 30 N to accelerate at 5 m/s2?

Answers

Answer:

6 Kg.

Explanation:

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

Force (F) = 30 N

Acceleration (a) = 5 m/s²

Mass (m) =?

Force (F) is defined as the product of mass (m) and acceleration (a). Mathematically, it can be expressed as:

Force (F) = mass (m) × acceleration (a)

F = ma

With the above formula, we can obtain the mass of the object as follow:

Force (F) = 30 N

Acceleration (a) = 5 m/s²

Mass (m) =?

F = ma

30 = m × 5

Divide both side by 5

m = 30 / 5

m = 6 Kg

Therefore, the mass of the object is 6 Kg

A ball droped from a building. How fast is it traveling after falling 3.55s

Answers

Answer:

d = 61.75 m

Explanation:

Given that,

A ball droped from a building.

We need to find how fast is it traveling after falling 3.55 s.

As it is dropped, its initial velocity is equal to 0.

Let d is the distance it covers after falling 3.55 s.

We can use second equation of motion to find d.

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

Here, u = 0 and a =g

[tex]d=\dfrac{1}{2}gt^2\\\\d=\dfrac{1}{2}\times 9.8\times (3.55)^2\\\\d=61.75\ m[/tex]

So, it will cover 61.75 m after falling 3.55 seconds.

18. Compare the momentum of a 5450 kg truck moving at 8.00 m/s to the momentum of a 2725 kg car moving at 16.0 m/s.​

Answers

Answer:

They are equal

Explanation:

Multiply the mass by the velocity.

Ten children measured and recorded how high they could jump. The results they recorded, in inches, were as follows:
8, 9, 8, 6, 8, 12, 9, 10, 11, 16
What is the median of these measures?

Answers

the median is 9.

i hope this helps you!

A boy starts from point A and walks 3 meters toward the south, then turns around and walks 7 meters toward the north. What is the boys placement from point A?

Answers

Answer:

-3m+7m =  4m

Explanation:

As he walks south, he is going down 3m (-3m). Then he walks up 7m (+7m).

You subtract the final position from the initial position to get displacement.

7m - 3m = 4m

PLEASE HELP!!!!
People can expect worldwide governmental agencies and regulations to "clean up" all the environmental problems.


True

False

Answers

Answer: Local governments can resolve a conflict by cooperating and spreading the costs of expensive projects. What kinds of problems cause state governments to help local governments? No economic growth or improvements are problems that cause governments to help local governments.

Answer its false

Explanation:

( Interactions of the Earth) (Moon, and Sun: Mastery Test Place) the phases of the Moon in the correct order, starting with the new Moon. first-quarter Moon 1 new Moon full Moon 1 gibbous Moon crescent Moon |

Answers

Answer:

crest moon

Explanation: because you ar etalking about moons

Write a hypothesis about the effect of the red light on the population. Use the "if . . . then . . . because . . ." format, and be sure to answer the lesson question: "How does natural selection change the phenotypes within a population over time?"






















.............they literally didn't talk about this in class.........

Answers

Answer:

yes because if red light was natural then it should cause more damage because that how it is

Answer:

its yes because if red light was natural then it should cause more damage because that how it is

A fan that is switched on for 1 minute uses 500 W usefully but also wastes 300 W through the emission of sound and heat. What's the efficiency of the fan?

Answers

Explanation:

Efficiency is defined as the ratio between the useful output over the total amount consumed. [tex]E = \frac{useful}{total}[/tex]

The fan does 500W of useful work while wasting 300 W. The total power consumption is 800 W (500 + 300).

Maya uses a tuning fork of frequency 250 Hz to produce transverse wave on a stretched string. Her friend justin measure the distance between the two consecutive crest on the string as 5 cm.What was the velocity of the wave?​

Answers

Answer:6.25m/s

Explanation:

V=F*lander

V=FL/2=250*0.05/2

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