A 4000-kg car bumps into a stationary 6000kg truck. The Velocity of the car before the collision was +4m/s and -1m/s after the collision. What is the velocity of the truck?

Answers

Answer 1

Answer:

The velocity of the truck is 3.33 m/s

Explanation:

Law Of Conservation Of Linear Momentum

The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is  

P=mv.  

If we have a system of bodies, then the total momentum is the sum of the individual momentums:

[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]

If some collision occurs, the velocities change to v' and the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]

In a system of two masses:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

There are two objects: The m1=4000 Kg car and the m2=6000 Kg truck. The car was moving initially at v1=4 m/s and the truck was at rest v2=0. After the collision, the car moves at v1'=-1 m/s. We need to find the velocity of the truck v2'. Solving for v2':

[tex]\displaystyle v'_2=\frac{m_1v_1+m_2v_2-m_1v'_1}{m_2}[/tex]

Substituting:

[tex]\displaystyle v'_2=\frac{4000*4+6000*0-4000(-1)}{6000}[/tex]

[tex]\displaystyle v'_2=\frac{16000+4000}{6000}[/tex]

[tex]\displaystyle v'_2=3.33[/tex]

The velocity of the truck is 3.33 m/s


Related Questions


What machine changes electrical energy into light and sound energy?

battery
o lightbulb
alarm dock
apple

Answers

Answer:

light bulb

Explanation:

Yeah its l light bulb

How does the appearance of each phase of the moon related to the
moon's position relative to Earth and the sun?

Answers

Answer:Moon phases are determined by the relative positions of the Moon, Earth, and Sun.

Explanation:

Instead, the Moon's phase depends only on its position relative to Earth and the Sun. The Moon doesn't make its own light, it just reflects the Sun's light as all the planets do.

How much force would be needed to
push a 22 kg box across the floor with
an acceleration of 1.9 m/s^2? Assume
that there is a coefficient of friction of.
17 between the box and the floor.
Help me with this!!!!!!!it’s due in 10 minutes

Answers

There would be two forces acting on the box parallel to the floor, with a net force of

F = p - f = m a

where p = magnitude of the push, f = mag. of friction, m = mass of the box, and a = acceleration. To find p, we first need f .

There are also only two forces acting on the box perpendicular to the floor, with net force

F = n - w = 0

where n = mag. of normal force of the floor on the box and w = weight of the box. The net force is 0 because the box is only accelerating parallel to the floor.

w = m g, where g = 9.8 m/s² is the mag. of the acceleration due to gravity, so we can solve for n :

n = w = m g

n = (22 kg) (9.8 m/s²)

n = 215.6 N

The kinetic friction is proportional to the normal force by a factor of the given coefficient of friction, µ = 0.17, such that

f = µ n

f = 0.17 (215.6 N)

f = 36.652 N

Now solve for the required pushing force:

p - 36.652 N = (22 kg) (1.9 m/s²)

p ≈ 78 N

Answer:

0

Explanation:

Which statement best describes an electric current?
A Energy transfers inside of an electric device.

B Charged particles move
through a conductor.

C Type of conductor or insulator.

D The measurement of the electric potential energy in a circuit.

Answers

Answer:

its B

Explanation:

the movement of charged particles in a conductor

Charged particles move through a conductor best describes an Electric current.

What is Electric current?

A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current.

Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles. Electrons flowing over a wire are frequently used as charge carriers in electric circuits.

They can be electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons are the charge carriers in plasma, an ionized gas.

Therefore, Charged particles move through a conductor best describes an Electric current.

To learn more about electric current, refer to the link:

https://brainly.com/question/2264542

#SPJ2

what is the correct answer?

Answers

Answer:

4

Explanation:

I added all of them and them minus the 5.

ifif it takes 1-minute for 45 c of charge to pass a point in an electric circuit what is the current through the circuit?​

Answers

Answer:

45C in a minute is

45/60 C in a second

.75 C in a second is 3/4 of an ampere.

Explanation:

The current through a circuit when it takes one minute for 45C of charge to pass to a point in an electric circuit is 0.75 Ampere.

What is an electric circuit?

The electric circuit: a way for current to travel. A battery or generator is a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines to make up an electric circuit. Ohm's law and Kirchhoff's rules are two fundamental laws that quantitatively define how electric circuits function.

Given information,

The charge, q = 45 coulombs,

the time, t =1 minute

t = 60 sec

A minute at 45C is, In one second, 45/60 C,3/4 of an ampere is equal to 0.75 C per second.

Therefore, the current through a circuit when it takes one minute for 45C of charge to pass to a point in an electric circuit is 0.75 Ampere.

To know more about Electric circuits:

https://brainly.com/question/29032441

#SPJ6

Explain how itis possible for electron-group geometry to difer trom molecular geometry. Use the Lewis dot diagram below to help in your explanation

Answers

Answer:

If lone pairs of electrons, electrons not bonded to other atoms, are located in the molecule, this will change the molecular geometry, not the electron geometry. If all the electron groups are bonded, with no lone pairs, then the electron geometry and molecular geometry are the same.

Billy throws a peach vertically upward. It takes 3 seconds for the peach to land back in his hand. How fast did Billy throw the peach?

Answers

Answer:

  48 ft/s

Explanation:

Acceleration due to gravity decreased the upward velocity to zero in 1.5 seconds (half the total time), so the initial velocity must have been ...

  (32 ft/s^2)(1.5 s) = 48 ft/s

Compare the rate of heat transfer by radiation for two objects, the first one has the temperature Ts1= 25 degree Celsius and the second is kept at temperature Ts2 = 40 degree Celsius. Suppose they are made of identical material (e1=e2) and have the same area participating in radiation (Ar1=Ar2). The Surrounding temperature Tr= 25 degree Celsius.

Answers

Answer:

The rate of heat transfer of the second object is greater than the first object.

Explanation:

[tex]\varepsilon[/tex] = Emissivity of the object

[tex]\sigma[/tex] = Stefan-Boltzmann constant = [tex]5.67\times 10^{-8}\ \text{W/m}^2/\text{K}^4[/tex]

[tex]T_1[/tex] = Temperature of surface 1 = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]

[tex]T_2[/tex] = Temperature of surface 2 = [tex]40^{\circ}\text{C}+273.15=313.15\ \text{K}[/tex]

[tex]T_0[/tex] = Surrounding temperature = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]

Rate of heat transfer is given by

[tex]P_1=\varepsilon \sigma (T_1^4-T_0^4)\\\Rightarrow P_1=\varepsilon \sigma A_1(298.15^4-298.15^4)\\\Rightarrow P_1=0\ \text{W}[/tex]

[tex]P_2=\varepsilon \sigma (T_2^4-T_0^4)\\\Rightarrow P_2=\varepsilon 5.67\times10^{-8} A_2(313.15^4-298.15^4)\\\Rightarrow P_2=\varepsilon A_297.2[/tex]

[tex]\varepsilon A_297.2>0[/tex]

So, [tex]P_2>P_1[/tex]

Hence, the rate of heat transfer of the second object is greater than the first object.

A car is moving at 20 m/s. The driver steps on the gas pedal and accelerates the car for 4 seconds at an acceleration of 4 m/s2. How fast is the car moving after it accelerates?

Answers

Answer:

The final velocity of the car is 36 m/s.

Explanation:

Given;

initial velocity of the car, u = 20 m/s

time of the car acceleration, t = 4 s

acceleration of the car, a = 4 m/s²

the final velocity of the car is calculated as;

v = u + at

where;

v is the final velocity of the car

v = 20 + (4 x 4)

v = 36 m/s

Therefore, the final velocity of the car is 36 m/s.

a golf ball has a mass 0.046 kkg rests on a tee it is struck by a golf club with an effectiv mass of 0.22 and speed of 44 assuming the collision is elastic, find the speed of the ball when it leaves the tee

Answers

Answer:

210 m/s

Explanation:

We will use this equation for an elastic collision:

m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂  The left side of the equation is before the collision; the right side is after the collision.

In this case, m₁ = mass of golf ball (0.046 kg) and m₂ = mass of the golf club (0.22 kg).

Left side of equation:

v₁ is 0 m/s since the ball is at rest on the tee.

v₂ is 44 m/s, given in the problem.

Right side of equation:

v₁ is what we are trying to find.

v₂ is 0 m/s since the ball will be at rest on the ground.

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Plug these values into the elastic collision equation:

(0.046 kg)(0 m/s) + (0.22 kg)(44 m/s) = (0.046 kg)(v₁) + (0.22 kg)(0 m/s)

Simplify this equation.

(0.22 kg)(44 m/s) = (0.046 kg)(v₁)  

Get rid of the units.

(0.22)(44) = 0.046v₁

Multiply the left side of the equation.

9.68 = 0.046v₁

Divide both sides by 0.046.

210.434782609 = v₁ 210 m/s = v₁

The speed of the ball when it leaves the tee is about 210 m/s.

A Geosynchronous orbit is one where a satellite orbits the earth with the same period of motion as the earth on its own axis.
How far from the center of the earth is the satellite's orbit?

Answers

Answer:

22236 mi

Explanation:

The answer is 22236 mi

How does variation impact natural selection?

Answers

The answer to this is D!

what is the correct answer?

Answers

Answer:

length=2

Explanation:

You simply find the zeros of the quartic polynomial

The factored form is (x+1)(x-5)(x-2)=0

The zeros become -1,5 and 2

Dimension 5 is already given and the question says length>width and 2>-1

Therefore length=2

Which of these waves has the greatest wavelength? Group of answer choices Wave shown with 2 wavelengths. Wave shown with 3 wavelengths. Wave shown with 1 wavelength stretch over a short distance. Wavelength shown with 1 wavelength stretched over a long distance.

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete because of the absence of the figure. However, wavelength can be described as the distance between two crests (identical points) of a wave (as illustrated in the picture attached). Thus, a wave with a large/great wavelength must have a long distance between the two crests and has nothing to do with the number of crests/wavelengths since distance between crests could also be small.

Hence, what appears to be the correct option is the last option (Wavelength shown with 1 wavelength stretched over a long distance).

Answer:

Its B.

Explanation:

Im took the exam.

A stone is thrown vertically upwards with an initial velocity 20m/s. Find the maximum height it reaches and the time taken by it to reach the height.
(g= 10m/s)

who gives answer with explanation i will make him braillint

Answers

Answer:

The maximum height it reaches will be 20 m.

The time taken by it to reach the height will be: t = 2 seconds.

Explanation:

We know the equation of the motion under gravity

v² - u² = 2gs

u = initial velocity = 20 m/s

v = final velocity = 0 m/s

[tex]s\:=\:h_{max}[/tex]

so

[tex]v^{2} \:-\:u^{2} \:=\:2gs[/tex]

substituting u = 20 m/s, v = 0 m/s, g = -10 and [tex]s\:=\:h_{max}[/tex]

[tex]\left(0\right)^2-\:\left(20\right)^2=\:2\left(-10\right)\times h_{max}[/tex]

[tex]2\left(-10\right)\times h_{max}=-400[/tex]

[tex]\frac{2\left(-10\right)h_{max}}{-20}=\frac{-400}{-20}[/tex]

[tex]\:h_{max}=20[/tex] m

Therefore, the maximum height it reaches will be 20 m.

We know the equation

u = gt

substitute u = 20, g = 10

20 = 10 × t

t = 20/10

t = 2 seconds

Therefore, the time taken by it to reach the height will be: t = 2 seconds.

what is the reason behind superposition?why waves behave this way?

Answers

Explanation:

Most waves appear complex because they result from two or more simple waves that combine as they come together at the same place at the same time—a phenomenon called superposition. Waves superimpose by adding their disturbances; each disturbance corresponds to a force, and all the forces add

introurself please

A tank holding 70 liters of water is heated by a 18000W electric immersion heater. If the specific heat capacity of water is 4200 J/(kg .℃), Calculate the time to change the temperature from 20 Degree Celsius to 100 degree Celsius.

Answers

Answer:

1306.67 s

Explanation:

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

Volume of water = 70 L

Power (W) = 18000 w

Specific heat capacity (C) = 4200 J/g℃

Initial temperature (T1) = 20 ℃

Final temperature (T2) = 100 ℃

Time (t) =?

Next, we shall determine the mass of the water. This can be obtained by converting 70 L to kg. This is illustrated below:

1 L = 1 kg

Therefore,

70 L = 70 Kg

Thus, the mass of the water is 70 kg.

Next, we shall determine the heat energy involved. This is can be obtained as follow:

Mass (M) of water = 70 Kg

Specific heat capacity (C) = 4200 J/g℃

Initial temperature (T1) = 20 ℃

Final temperature (T2) = 100 ℃

Heat Energy (Q) =?

Q = MC(T2 – T1)

Q = 70 × 4200 × (100 – 20)

Q = 294000 × 80

Q = 3520000 J

Thus, the heat energy involved is 3520000 J

Finally, we shall determine the time taken.

Power (W) = 18000 w

Heat Energy (Q) = 3520000 J

Time (t) =?

Power = energy / time

18000 = 3520000 / time

Cross multiply

18000 × time = 3520000

Divide both side by 18000

Time = 3520000 / 18000

Time = 1306.67 s

A stone is thrown vertically upwards with an initial velocity 20m/s. Find the maximum height it reaches and the time taken by it to reach the height.
(g= 10m/s)

who gives answer with explanation i will make him braillint

Answers

Answer:

20metere

Y=VOYYT-1/2gt^2H=20m/s*2s-1/2*10m/s^2(2s)^H=40m-1/2*10 4s^240m-20H=20m

WHICH ONE IS IT????

RINGS

POINT

GRAPH

READS

TALKS

Answers

Answer:  c or b

Explanation:

graph or points would be the answer

What did James Hutson do

Answers

Answer:

Dr Hutson is the author of several books among them: John Adams and the Diplomacy of the American Revolution (1980); winner of the Gilbert Chinard Prize, 1981; To Make All Laws: The Congress of the United States, 1789-1989 (Washington and Boston, 1989-90; 4th edition, Washington, 1990); The Sister Republics

Answer:

Dr Hutson is the author of several books among them: John Adams and the Diplomacy of the American Revolution (1980); winner of the Gilbert Chinard Prize, 1981; To Make All Laws: The Congress of the United States, 1789-1989 (Washington and Boston, 1989-90; 4th edition, Washington, 1990); The Sister Republics: ... Explanation: HOPE I HELPED!!!!!

define vector quantity giving examples​

Answers

Answer:

Quantity with direction and magnitude

Displacement

Explanation:

2km south is a measure of what

Answers

The answer Is kilometers

1. The coin remains at rest in the figure shown. This is due to
(a) inertia of rest
(b) two forces act on the coin which balance each other
(c) no unbalanced force acts on it
(d) all of these​

Answers

D would be correct.

Have a merry Christmas!
D I hope it helps have a good day

Please help me with this question please

Answers

-ear drum
-three bones in the middle ear
-cochlea
-auditory nerve
-brain to be interpreted

A bus travels east for 3 km, then north for 4 km. What is its final displacement?
5 km southeast
5 km northwest
5 km northeast
5 km southwest

Answers

5 km northeast. Left and up would make northeast

A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 137-kg laser sensor that measures the thickness of the ice (see the drawing). The helicopter and the sensor both move only in the horizontal direction and have a horizontal acceleration of magnitude 2.63 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor. Incorrect: Your answer is incorrect.

Answers

Answer:

The value is  [tex]T = 1702.91 \ N[/tex]  

Explanation:

From the question we are told that

   The mass of the laser sensor is  [tex]m = 137 \ kg[/tex]

    The horizontal acceleration of the helicopter and the sensor is  [tex]a = 2.63 \ m/s^2[/tex]

Generally the net force on the cable is              

[tex]F = T - W = ma[/tex]

    Here W  is the weight of the sensor  which is evaluated as [tex]W = m * g = 137 * 9.8 = 1342.6 \ N[/tex]

     So

     [tex]T - 1342.6 = 137 * 2.63[/tex]

=>   [tex]T = 360.31 + 1342.6[/tex]  

=>   [tex]T = 1702.91 \ N[/tex]  

Particle moves in a circle of radius 90m with a constant speed 25m/s. how many revolution does it make in 30sec​

Answers

Answer:

n =1.33 revolutions

Explanation:

Uniform Circular Motion

The angular speed can be calculated in two different ways:

[tex]\displaystyle \omega=\frac{v}{r}[/tex]

Where:

v = tangential speed

r = radius of the circle described by the rotating object

Also:

[tex]\omega=2\pi f[/tex]

Where:

f = frequency

Solving for f:

[tex]\displaystyle f=\frac{\omega}{2\pi}[/tex]

Since the frequency is calculated when the number of revolutions n and the time t are known:

[tex]\displaystyle f=\frac{n}{t}[/tex]

We can solve for n:

n=f.t

The particle moves in a circle of r=90 m with a speed v=25 m/s. Thus the angular speed is:

[tex]\displaystyle \omega=\frac{25}{90}[/tex]

[tex]\displaystyle \omega=0.278\ rad/s[/tex]

Now we calculate f:

[tex]\displaystyle f=\frac{0.278}{2\pi}[/tex]

[tex]f=0.04421\ Hz[/tex]

Calculating the number of revolutions:

n = 0.04421*30

n =1.33 revolutions

All models have a limitations True or false

Answers

Answer:

The answer is True.

What voltage is required to move 6A through 20?

Answers

Answer:

120V

Explanation:

Given parameters:

Current  = 6A

Resistance  = 20Ω

Unknown:

Voltage = ?

Solution:

According to ohms law;

           V = IR

Where V is the voltage

            I is the current

            R is the resistance

Now, insert the parameters and solve;

    V  = 6 x 20  = 120V

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