A 200kg bumper car moving 3 m/s collides head on with a 392kg bumper car moving 6m/s. After impact, the larger car continues traveling in the same direction with a velocity of 1.6 m/s . Determine the speed of the other car.

Answers

Answer 1

Answer:

the final speed of the smaller car is 5.624 m/s

Explanation:

Given;

mass of the small car, m₁ = 200 kg

initial velocity of the small car, u₁ = 3 m/s

mass of the larger car, m₂ = 392 kg

initial velocity of the larger car, u₂ = 6 m/s

final velocity of the larger car, v₂ = 1.6 m/s

let the direction of the larger car be positive

let the direction of the smaller car be negative

Apply the principle of conservation of linear momentum to determine the final speed of the smaller car.

m₁u₁ + m₂u₂ = m₁v₁  +  m₂v₂

200(-3)  +  392(6)  = 200v₁   +  392 x 1.6

-600 + 2352  = 200v₁    +  627.2

1752   =  200v₁     +   627.2

1752  -  627.2     =  200v₁

1124.8  = 200v₁

v₁  =  1124.8/200

v₁ = 5.624 m/s

Therefore, the final speed of the smaller car is 5.624 m/s


Related Questions

In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress on cells lining the walls of the blood vessels is about 20 N / M2. If the shear strain is about 0.008, estimate the shear modulus for the affected cells.

Answers

Answer:

Shear Modulus = 2500 Pa = 2.5 KPa

Explanation:

The shear modulus is defined as the ratio between the shear stress and the shear strain. Hence, the shear modulus, in this case, can be calculated by the use of the following formula:

[tex]Shear\ Modulus = \frac{Shear\ Stress}{Shear\ Strain}\\[/tex]

we have,

shear stress = 20 N/m²

shear strain = 0.008

Therefore,

[tex]Shear\ Modulus = \frac{20\ N/m^2}{0.008}\\\\[/tex]

Shear Modulus = 2500 Pa = 2.5 KPa

A microphone is attached to a spring that is suspended from the ceiling, as the drawing indicates. Directly below on the floor is a stationary 375-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 1.80 s. The difference between the maximum and minimum sound frequencies detected by the microphone is 2.75 Hz. Ignoring any reflections of sound in the room and using 343 m/s for the speed of sound, determine the amplitude (in m) of the simple harmonic motion.

Answers

Answer:

[tex]0.361\ \text{m}[/tex]

Explanation:

[tex]f_s[/tex] = Frequency of source = 375 Hz

[tex]\Delta f[/tex] = Difference between the maximum and minimum sound frequencies = 2.75 Hz

v = Speed of sound in air = 343 m/s

T = Time period = 1.8 s

[tex]v_m[/tex] = Maximum speed of the microphone

We have the relation

[tex]\Delta f=2f_s\dfrac{v_m}{v}\\\Rightarrow v_m=\dfrac{\Delta fv}{2f_s}\\\Rightarrow v_m=\dfrac{2.75\times 343}{2\times 375}\\\Rightarrow v_m=1.26\ \text{m/s}[/tex]

Amplitude is given by

[tex]A=\dfrac{v_mT}{2\pi}\\\Rightarrow A=\dfrac{1.26\times 1.8}{2\pi}\\\Rightarrow A=0.361\ \text{m}[/tex]

The amplitude of the simple harmonic motion is [tex]0.361\ \text{m}[/tex].

It takes 5000 J of work to lift a crate to a height of 5 m in 10 s of time.. Calculate the power.

Answers

Answer:

P = 500 W

Explanation:

Given that,

Work done to lift a crate to a height of 5 m is 5000 J

It takes 10 s

We need to find the power of the crate. We know that power is the rate of doing work. Mathematically, it can be given by :

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{5000}{10}\\\\P=500\ W[/tex]

So, the power of the crate is equal to 500 W.

Paper clips, nails, and scissors all act as which of the following?
electromagnets
ion magnets
temporary magnets

Answers

I think its ion magnets correct me if I'm wrong

In this system, ___________________ energy from the sunlight causes the solar panel to create ___________________ energy which flows into the incandescent light bulb. In the light bulb, the ___________________ energy is transformed into two different types of energy: ___________________ energy and ___________________ energy.

Answers

Answer:

solar, heat,heat, light

Does anyone know 19 and 20 ??

Answers

B I think for 19 and D for 20

A researcher is trying to identify whether household substances are basic. Which approach would BEST help the researcher
investigate whether substances are basic?

A. Test each substance with red litmus paper.

B. Test each substance with blue litmus paper.

C. Observe each substance and record its color.

D. Mix each substance with a weak base and record the results.

Answers

Answer:

a

Explanation:

because red litmus paper turn blues under base or alkaline condition

In the system shown above, the pulley is a uniform disk with a mass of .75 kg and a radius of 6.5 cm. The coefficient of friction between the 5.8 kg mass and the horizontal surface is .25, and the ropes does not slip on the pulley. They system is released from rest. Use work-energy principles to determine the kinetic energy of the (a) 2.8 kg mass and (b) the pulley after the 5.8 kg mass has moved 2.2 meters.

Answers

Answer:

i am answering the same question 3rd time

please find the answer in the images attached.

What would happen to the two balls if one of them were kept positively charged and the charge on the other ball were slowly increased, making it more and more positive? View Available Hint(s) What would happen to the two balls if one of them were kept positively charged and the charge on the other ball were slowly increased, making it more and more positive? The balls would begin to move closer together. The balls would not move relative to each other. The balls would begin to move farther apart.

Answers

Answer:

the balls would move closer to each other

Explanation:

a bullet of mass 120g is fired horizontally into a fixed wooden block with a speed of 20m\s. The bullet is brought to rest in a wooden block in 0.1secs by a constant resistance
calculate the;(I) magnitude of the resistance
(ii) distance moved by the bullet in the wood​

Answers

Answer:

1) F = 24 N

2) Distance = 1 m

Explanation:

We are given;

Mass; m = 120 g = 0.12 kg

Initial velocity; u = 20 m/s

Final velocity; v = 0 m/s since it came to rest.

Time; t = 0.1 s

We can calculate acceleration from Newton's first equation of motion;

a = (v - u)/t

a = (0 - 20)/0.1

a = -200 m/s²

1) magnitude of the resistance will be;

F = ma

F = 0.12 × (-200)

F = -24 N

Since, we are dealing with the magnitude, we will take the absolute value. Thus, F = 24 N

2) To find the distance moved by the bullet, we know that;

Distance = Average speed × time

Thus;

Distance = ((v + u)/2) × t

Distance = ((0 + 20)/2) × 0.1

Distance = 1 m

An elephant's legs have a reasonably uniform cross section from top to bottom, and they are quite long, pivoting high on the animal's body. When an elephant moves at a walk, it uses very little energy to bring its legs forward, simply allowing them to swing like pendulums. For fluid walking motion, this time should be half the time for a complete stride; as soon as the right leg finishes swinging forward, the elephant plants the right foot and begins swinging the left leg forward.

Answers

Answer:

is this the full question?

Explanation:

A vertical piston-cylinder device initially contains 0.1 m^3 of air at 400 K and 100 kPa. At this initial condition, the piston is resting on a stop. The piston-cylinder device is connected to a supply line with air at 400 K and a pressure of 500 kPa. The valve between the supply line and the piston-cylinder device is opened and is left open until the pressure in the piston-cylinder device reaches 500 kPa. The piston is observed to start moving when the pressure in the cylinder is 200 kPa and the piston continues to rise until it reaches a second stop. At the second stop, the piston-cylinder volume is 0.2 m^3 . The final temperature and pressure in the piston-cylinder device are 440 K and 500 kPa, respectively. Determine the heat transfer to or from the piston-cylinder device for the filling process Determine heat transfer (kJ) during the entire process.

Answers

Answer:

[tex]Q=-38.15kJ[/tex]

Explanation:

From the question we are told that

Piston-cylinder initial Volume of air [tex]v_1=0.1 m^3[/tex]

Piston-cylinder initial temperature [tex]T_1=400k[/tex]

Piston-cylinder initial pressure [tex]P_1= 100kpa[/tex]

Supply line temperature[tex]T_s=400k[/tex]

Supply line pressure [tex]P_s= 500kpa[/tex]

Valve  final pressure [tex]P_v=500kpa[/tex]

Piston movement pressure [tex]P_m=200kpa[/tex]

Piston-cylinder final Volume of air[tex]v_2=0.2 m^3[/tex]

Piston-cylinder final temperature [tex]T_2=440k[/tex]

Piston-cylinder final pressure [tex]P_2= 500kpa[/tex]

Generally the  equation for conservation of mass is mathematically given by

[tex]Q=m_2 \mu_2-m_1 \mu_1 +W-(m_2-m_1)h[/tex]

where

Initial moment

[tex]m_1=\frac{p_1 V_1}{RT_1}[/tex]

[tex]m_1=\frac{100*0.1}{0.287*400}[/tex]

[tex]m_1=8.7*10^-^2kg[/tex]

Final moment

[tex]m_2=\frac{p_2 V_2}{RT_2}[/tex]

[tex]m_1=\frac{500*0.3}{0.287*440}[/tex]

[tex]m_1=79*10^{-2}kg[/tex]

Work done by Piston movement pressure

[tex]W=Pd[/tex]

[tex]W=P(v_2-v_1)[/tex]

[tex]W=200(0.2-0.1))[/tex]

[tex]W=20000J[/tex]

Heat function

[tex]h=cT_1[/tex]

[tex]h=1.005(400)[/tex]

[tex]h=402[/tex]

Therefore

[tex]Q=(0.792*0.718(440)-0.0871*0.718(400)+20-(0.792-0.087)*402))[/tex]

[tex]Q=-38.15kJ[/tex]

It is given mathematically that the system lost  or dissipated Heat of

[tex]Q=-38.15kJ[/tex]

Please help!!!!! This is for science and I don’t understand

Answers

Answer:

the correct one is B

Explanation:

In this exercise, indicate that crocodiles need a warm climate to survive.

The current climate in the western Colorado region where the temperature is 53ºF (11.7ºC) does not allow them to survive, therefore the appearance of fossil crocodiles and fossil subtropical plants and a clear indication that the climate in these regions was much more warm

when checking the answers the correct one is B

discuss impact of Newton's second law on roads​

Answers

Answer:

The second law: When a force is applied to a car, the change in motion is proportional to the force divided by the mass of the car. This law is expressed by the famous equation F = ma, where F is a force, m is the mass of the car, and a is the acceleration, or change in motion, of the car

A type of organism that makes its own food. __________
The highest taxonomic classification of organisms.__________
The process through which organisms make new organisms of the same kind. _______
The taxonomic classification below domains._________
A type of organism that is made of more than one cell and is more specialized and eukaryotic.__________
A characteristic passed from female and male parents to their offspring.________

FILL IN THE BLANKS PLEASEEE WILL GIVE BRAINLIEST AND 50 POINTS

Answers

Answer:

1. An autotroph

2. Domain

3. Reproduction

4. Kingdom

5. Multicellular Organism

6. Genetic trait

Explanation: Took Bio honors 1 & 2

Given equal time periods, which statement about radioactive waste is correct?
A. Radioactive decay and nuclear fission always generate the same amount of waste.
B. Nuclear fusion generates less radioactive waste than radioactive decay does.
C. Nuclear fusion generates less radioactive waste than nuclear fission does.
D. Nuclear fission generates less radioactive waste than radioactive decay does.

Answers

I think the answer is C

Explain how energy that comes from the outside of the Earth system drives the flow of water on surface currents.

Answers

Answer:

The ocean and atmosphere are connected. They work together to move heat and fresh water across the globe. Wind-driven and ocean-current circulations move warm water toward the poles and colder water toward the equator. ... The majority of the thermal energy at the Earth's surface is stored in the ocean.

Explanation:

The ocean and atmosphere are connected. They work together to move heat and fresh water across the globe. Wind-driven and ocean-current circulations move warm water toward the poles and colder water toward the equator. ... The majority of the thermal energy at the Earth's surface is stored in the ocean.

What is a mechanical advantage?

Answers

The answer is C I think

Answer:

B

Explanation:

 A Mechanical Advantage is when you use a piece of machinery to help you do work, and it is an easy advantage.

What is the momentum of a 4 kg object moving west at 4 m/s?*
O 12 kg*m/s (east)
O 1.33 kg*m/s (west)
O 16 kg*m/s (east)
16 kg*m/s (west)

Answers

Answer:

16kg*m/s west

Explanation:

P=M*V

Momentum= Mass time velocity, plug it into the formula,

M is 4 and V is 4, 4*4=16, and since the object is moving west its going to be west.

basically saying in simpler terms,

16=4*4

Spatial awareness is knowing where you are in relationship to teammates, opponents, and the field of play.

O. Truth
O. False

Answers

Answer:

A.) True

Explanation:

"Spatial awareness refers to being aware of your surroundings and your position relative to them. "

-healthline.com

It's essentially knowing where you are in the field, and who/what's around you.

It’s true!!!:) trust me 100% true

A person starts running from 2 m/s to 6 m/s in 2 seconds.
Calculate the person's acceleration.
Var
Variables:
Solve:
F
Formula:

Answers

Answer:

2 m/s²

Explanation:

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

Initial velocity (u) = 2 m/s

Final velocity (v) = 6 m/s

Time (t) = 2 s

Acceleration (a) =?

The acceleration of the person can be obtained as follow:

v = u + at

6 = 2 + (a×2)

6 = 2 + 2a

Collect like terms

6 – 2 = 2a

4 = 2a

Divide both side by 2

a = 4 / 2

a = 2 m/s²

Therefore, the acceleration of the person is 2 m/s²

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 25pts-

Answers

Answer:

A, and D are the answers

Explanation:

The pulley. It is located where the bicycle chain and gears are. The chain is wrapped around the pulley which turns and causes the wheel to turn on its axle.

During sublimation and deposition, this state of matter is skipped:
A) Solid
B) gas
C) liquid

Answers

The Answer is Liquid

Two objects collide. One of the objects deforms upon collision. What type of collision is this?

Select one:

A: Elastic collision, because energy is used to defom the object.

B: Inelastic collision, because energy is conserved.

C: Inelastic collision, because kinetic energy was lost when the object was deformed.

D: Elastic collision, because momentum is conserved.​

Answers

Answer:

D Elastic collision because momentum is conserved

Explanation:

this is the answer may i be marked brainliest?

please, pretty please help me!

Answers

Answer:

umm

Explanation:

1223565 578633 =334675

Hhsjjsjdbdvbr fineee

PLEASE HELP ME :( I've tried solving it many times but my teacher keeps saying its wrong i really need help

Answers

Answer:

The charge on each end of the wire produces what we call an electric field. The electric field makes negative electrons want to travel towards the positive end of the wire (the end with not enough electrons).

the answer is d because it's going to positive.

is am alright? let me know.

A system releases 150 kJ of heat while 10 kJ of work is done on the system by
the surroundings. Calculate the change in internal energy (in kJ).

Answers

Answer:

160J OR 140J

Explanation:

Depends on teacher which formula your teacher uses.

U=Q+W OR U=Q-W

Method 1:

U=150+10J=160

U=150-10=140J

particles q1, q2, and q3 are in a straight line. particles q1 = -5.00 x 10^-6 C, q2 = -5.00 x 10^-6 C. .5 between each what is the net force on q3

Answers

Answer:

1.12

Explanation:

Acellus

Answer: +1.12

Explanation:

This answer works for Acellus! :)

Geothermal energy is an alternative energy source, although it is not resourceful enough to replace more than a minor amount of the Earth’s energy needs. Why is this?

Answers

Answer: However, it is not resourceful enough to replace more than a minor amount of the Earth's energy needs. Drilling through the Earth to reach areas hot enough to create steam is possible, but very expensive and difficult. .

Explanation:

Two charges are separated by a distance r. The distance between the charges is tripled to 3r. If the original force between the charges was 45N what is the new force between the charges A.5N B.15N C.75N D.135N

Answers

Answer:

5N

Explanation:

The formula formula for calculating the force between charges is expressed as;

F = kq1q2/r²

If two charges are separated by a distance r and a force between  them is 45N, then;

45 = kq1q2/r² ....1

If the distance between the charges is tripled to 3r, then;

F = kq1q2/(3r)²

F = kq1q2/9r² ... 2

Divide both expressions

45/F = (kq1q2/r²)/(kq1q2/9r²)

45/F = kq1q2/r² * 9r²/kq1q2

45/F = 9

9F = 45

F = 45/9

F = 5N

Hence the new force between them will be 5N

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For that you write a program which helps you in the distribution of the weight. Your program should first read the number of cars to be weighed (integer) followed by the weights of the cars (doubles). Then your program should calculate and display how much weight to add or subtract from each car such that every car has the same weight. The total weight of all of the cars should not change. These additions and subtractions of weights should be displayed with one decimal place. You may assume that there are no more than 50 boxcars. Example 1 In this example, there are 5 boxcars with different weights summing to 110.0. The ouput shows that we are modifying all the boxcars so that they each carry a weight of 22.0 (which makes a total of 110.0 for the entire train). 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