2200 kg semi truck driving down the highway has lost control. The truck rolls across the median and into oncoming traffic. The truck collides with a 2000 kg car that is traveling north at 45 m/s. The two vehicles stick together creating a single wreck that travels south at 15 m/s. what was the initial speed and direction of the semi truck?

Answers

Answer 1

Answer:

The semi truck travels at an initial speed of 69.545 meters per second downwards.

Explanation:

In this exercise we see a case of an entirely inellastic collision between the semi truck and the car, which can be described by the following equation derived from Principle of Linear Momentum Conservation: (We assume that velocity oriented northwards is positive)

\(m_{S}\cdot v_{S}+m_{C}\cdot v_{C} = (m_{S}+m_{C})\cdot v\) (1)

Where:

\(m_{S}\), \(m_{C}\) - Masses of the semi truck and the car, measured in kilograms.

\(v_{S}\), \(v_{C}\) - Initial velocities of the semi truck and the car, measured in meters per second.

\(v\) - Final speed of the system after collision, measured in meters per second.

If we know that \(m_{S} = 2200\,kg\), \(m_{C} = 2000\,kg\), \(v_{C} = 45\,\frac{m}{s}\) and \(v = -15\,\frac{m}{s}\), then the initial velocity of the semi truck is:

\(m_{S}\cdot v_{S} = (m_{S}+m_{C})\cdot v -m_{C}\cdot v_{C}\)

\(v_{S} = \frac{(m_{S}+m_{C})\cdot v - m_{C}\cdot v_{C}}{m_{S}}\)

\(v_{S} = \left(1+\frac{m_{C}}{m_{S}} \right)\cdot v - \frac{m_{C}}{m_{S}} \cdot v_{C}\)

\(v_{S} = v +\frac{m_{C}}{m_{S}}\cdot (v-v_{C})\)

\(v_{S} = -15\,\frac{m}{s}+\left(\frac{2000\,kg}{2200\,kg} \right) \cdot \left(-15\,\frac{m}{s}-45\,\frac{m}{s} \right)\)

\(v_{S} = -69.545\,\frac{m}{s}\)  

The semi truck travels at an initial speed of 69.545 meters per second downwards.


Related Questions

The density of a substance is 3.4 g cm-3. Its relative density relative to another substance is 2.0. what is the density of the second substance?​

Answers

Answer:

1.7 g/cm³

Explanation:

Given that:

Density of substance = 3.4 g/cm³

Relative density to another substance = 2

Density of second substance=?

Let density of second substance = x

Relative density = density of substance / density of second substance

Relative density = density of substance / x

2.0 = 3.4g/cm³ / x

2 * x = 3.4 g /cm³

x = 3.4 g/cm³ ÷ 2

x = 1.7 g/cm³

how much time does it take for a bird flying at a speed of 45 mph to travel a distance of 1800 miles?​

Answers

1000 kilometres........

Is a motor polarized or not?

Answers

Answer:

You can connect a non-polarized component in any direction, and it'll function just the same. A polarized component -- a part with polarity -- can only be connected to a circuit in one direction. A polarized component might have two, twenty, or even two-hundred pins, and each one has a unique function and/or position.

What is the specific heat capacity of a material if 2000 J of heat energy can raise the temperature of 10 g of it by 140°C?

Answers

Answer:

Specific heat capacity, = 1.43 J/g°C

Explanation:

Given the following data;

Mass = 10 g

Change in temperature = 140°C

Quantity of heat = 2000 J

To find the specific heat capacity;

Heat capacity is given by the formula;

\( Q = mcdt\)

Where;

Q represents the heat capacity or quantity of heat. m represents the mass of an object. c represents the specific heat capacity of water. dt represents the change in temperature.

Making c the subject of formula, we have;

\( c = \frac {Q}{mdt} \)

Substituting into the equation, we have;

\( c = \frac {2000}{10*140} \)

\( c = \frac {2000}{1400} \)

Specific heat capacity, = 1.43 J/g°C

A string 0.5 m long is used to whirl a 1.0 kg stone in a vertical circle at a uniform velocity
of 5.0 m/s. What is the force?

Answers

A force is an effect that changes, or accelerates, the velocity of a mass-moving object (such as one that is traveling from a state of rest).

Thus, It is a vector quantity since it can be a push or a pull and always has magnitude and direction. It is denoted by the letter F (formerly P) and is measured in newtons (N), the SI unit of force.

The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation.

According to this equation, the acceleration of an item is directly proportional to the net force acting on it, is in the direction of, and has a constant mass.

Thus, A force is an effect that changes, or accelerates, the velocity of a mass-moving object (such as one that is traveling from a state of rest).

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The centripetal force acting on the stone, during the circular motion is 314.07 N.

Length of the string, L = 0.5 m

Mass of the stone attached to the string, m = 1 kg

Velocity with which the stone is moving through the vertical circlr, v = 5 m/s

Length, L = 2πr

Therefore, the radius of the circular path,

r = L/2π

r = 0.5/(2 x 3.14)

r = 0.0796 m

The expression for the centripetal force acting on the stone, during the circular motion is given by,

F = mv²/r

F = 1 x 5 x 5/0.0796

F = 25/0.0796

F = 314.07 N

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What is magnetism?????

Answers

Answer: a physical phenomenon produced by the motion of electric charge, resulting in attractive and repulsive forces between objects.

Explanation: Magnetism is the force exerted by magnets when they attract or repel each other. Magnetism is caused by the motion of electric charges. Every substance is made up of tiny units called atoms.

A block of mass M is placed on a semicircular track and released from rest at point P, which is at vertical height H1 above the track's lowest point. The surfaces of the track and block are considered to be rough such that a coefficient of friction exists between the track and the block. The block slides to a vertical height H2 on the other side of the track. How does H2 compare to H1?

Answers

Therefore, H2 will be less than H1 because the initial potential energy possessed by the block at point P will be converted to kinetic energy and some energy will be dissipated as heat due to friction. So, the final vertical height of the block on the other side of the track will be less than the initial vertical height from where it was released.

The block of mass M placed on a semicircular track and released from rest at point P, which is at vertical height H1 above the track's lowest point, will slide on the track to the other side. Due to the rough surface of both the track and the block, a coefficient of friction exists between them. When the block reaches the other side of the track, it will come to rest at a vertical height H2.
The amount of energy possessed by the block at the beginning of the slide is equal to its potential energy at point P, which is Mgh1, where g is the acceleration due to gravity. As the block slides down the track, some of this energy is converted to kinetic energy, and some is dissipated as heat due to friction. By the time the block reaches the other side of the track, it will have lost some of its initial potential energy due to friction.

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4.Your friend tells you the weight of aparticular sample of chalk is 17.85 grams. Is there anything wrong with your friend ’statement?
A. No, because grams are the right units for weight.
B. No, because mass and weight are really the same thing.
C.Yes, because your friend should have reported the mass in kilograms.
D. Yes, because mass and weight are measured in different units

Answers

Answer:

A i tooook theee quizzz too

A force of 500N Is applied to a steel wire of goss_sectional area 0.2m2 the tensele stress is a. 2.5x10 1nm-2 b. 1 0x102nm-2 c. 2.5x103nw-3 d. 1.0x103nm-2

Answers

Answer:

the tensile stress of the steel wire is 2.5 x 10³ Nm⁻².

Explanation:

Given;

applied force, F = 5000 N

cross sectional area of the steel wire, A = 0.2 m²

The tensile stress of the steel wire, is calculated as;

\(\sigma = \frac{F}{A} \\\\\sigma = \frac{500}{0.2} \\\\\sigma = 2500 \ N/m^2\\\\\sigma = 2.5 \ \times \ 10^3 \ Nm^{-2}\)

Therefore, the tensile stress of the steel wire is 2.5 x 10³ Nm⁻².

6. A hockey player skates ten meters to the goal.
What term is used to describe the hockey
player's process of changing position?

Answers

Answer:

Displacement

Explanation:

Displacement is a term used to represent change in position.

what would happen if a permanent magnet is placed on top of a straight wire

Answers

When a permanent magnet is placed on top of a straight wire, a magnetic field is produced in the region surrounding the wire due to the motion of charges in the wire. The magnetic field produced by the wire interacts with the magnetic field of the permanent magnet and causes a force to be exerted on the wire.

The direction of the force is perpendicular to both the magnetic field and the current in the wire. If the wire is not fixed in place, it will experience a force and move in a direction that is perpendicular to both the magnetic field and the current in the wire. This phenomenon is known as the Lorentz force, which is the force that is exerted on a charged particle when it moves in an electromagnetic field.

The direction of the force is given by the right-hand rule, which states that if the thumb of the right hand points in the direction of the current, and the fingers point in the direction of the magnetic field, then the palm of the hand will point in the direction of the force. The magnitude of the force is proportional to the current in the wire and the strength of the magnetic field.

Therefore, the stronger the magnetic field or the current, the greater the force that is exerted on the wire. The Lorentz force is the basis for the operation of many devices such as motors, generators, and transformers.

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A car travels south on a highway for 2 h at 90 km/h. The car reverses direction and headed north for 0.5 h at 80 km/h. what is the cars position relative to where is started?

Answers

Answer:

hi my name is antonette Jane S pascua please help me my question thank you for your answer

Answer:

The car is 140 km south from where it started.

Explanation:

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A magnet is placed in a loop of wire connected to an galvanometer. A few moments pass and you check the current, will the galvanometer show a current?

Answers

Yes, the galvanometer will show a current if a magnet is placed in a loop of wire connected to it. This phenomenon is based on the principle of electromagnetic induction.

When a magnet moves relative to a loop of wire, it causes a change in the magnetic field passing through the loop. According to Faraday's law of electromagnetic induction, this change in magnetic field induces an electric current in the wire. The induced current flows in the loop of wire and can be detected by the galvanometer.

The current induced in the loop of wire will only be present for a short period of time after the magnet is initially placed or when there is a change in the magnetic field. Once the magnet and the loop of wire reach a steady state or there is no change in the magnetic field, the induced current will cease, and the galvanometer will no longer show a current.

Therefore, if a few moments have passed since the magnet was placed in the loop of wire, the galvanometer will still show a current as long as there is a relative motion between the magnet and the wire or if there is a change in the magnetic field.

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Explain a situation where chemical energy is transformed into light and heat energy.

Answers

Answer:

fire

Explanation:

burning the the oil

Exercise a rock is thrown upward on mars with a velocity of 10m=s; its height t second later is given by v (t) = 40t 16t 2 : a. find the average velocity over the given time intervals

Answers

The average velocity over the specified time intervals is 40 - 16t.

The average velocity can be determined using the formula: Average velocity = change in displacement / change in time.

In this case, the change in time is represented by t seconds. Therefore, the change in displacement can be calculated by finding the difference between the height at t seconds and the initial height.

The initial height (u) is considered to be 0 meters. The height at t seconds (s) can be represented by the equation v(t) = 40t - 16t^2, where v(t) represents the height at time t.

The displacement is given by the equation s - u = 40t - 16t^2 - 0 = 40t - 16t^2.

Thus, the average velocity over the given time intervals can be expressed as follows:

Average velocity = (change in displacement) / (change in time)

                       = (40t - 16t^2 - 0) / (t - 0)

                       = 40 - 16t.

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Two mugs are on a table. What would you need to know in order to determine which mug contains the most thermal energy?

Answers

change in thermal energy = mass × specific heat capacity × change in temperature.
Answer: you would need to know the mass of each mug

Help Please! a lot of points for 3 questions

Help Please! a lot of points for 3 questions
Help Please! a lot of points for 3 questions
Help Please! a lot of points for 3 questions

Answers

Answer:

1. Point 2.

2. Either #1 or #4 (sorry, I'm not 100% sure).

3. I'm pretty sure #3.

I hope this helps!

Put these components from largest to smallest

1. comet

2. star

3. galaxy

4. nebula

5. planet

6. universe

Answers

Answer:

6, 3, 2, 5, 4, 1

Explanation:

Let's describe them from smallest to largest. In fact the size order is not exact as there are exceptions.

An asteroid is a rocky body which lies in the asteroid belt between Mars and Jupiter. They are typically quite small object. The largest asteroid Ceres has been reclassified as a dwarf planet.

A moon is typically a rocky body which is in orbit around a planet. Some moons such as our Moon are quite large and are typically bigger than asteroid. Some moons can actually be smaller than some asteroids.

A planet is a nearly spherical body which is in orbit around the Sun. Planets are larger than moons.

A star is what planets orbit around. It is the source of light and heat. Our Sun is a star which is many times bigger than all of the planets.

A solar system is a star and all of its planets, asteroids, comets and other bodies. It is significantly bigger than a star.

A galaxy, such as our Milky Way Galaxy, is a collection of solar systems orbiting around a central core. Most galaxies have a supermassive black hole at their centres.

Galaxies also form clusters which are large scale structures.

The universe is everything. It contains billions of galaxies.

The resonant frequency of an rlc series circuit is 4.8 ✕ 103 hz. if the self-inductance in the circuit is 5.3 mh, what is the capacitance in the circuit (in µf)?

Answers

The capacitance in the circuit is approximately 1.741 × 10⁻³ µF.

To find the capacitance in the RLC series circuit, we can use the formula for resonant frequency:

f = 1 / (2 * π * √(L * C))

Where f is the resonant frequency, L is the self-inductance, and C is the capacitance. We have f = 4.8 × 10³ Hz and L = 5.3 mH. We need to find C.

Rearranging the formula for C, we get:

C = 1 / (4 * π² * f² * L)

Plugging in the given values:

C = 1 / (4 * π² * (4.8 × 10³)² * (5.3 × 10⁻³))

C ≈ 1.741 × 10⁻⁹ F

Since you want the capacitance in µF, we convert it:

C ≈ 1.741 × 10⁻⁹ F * (10⁶ µF/F) ≈ 1.741 × 10⁻³ µF

So, the capacitance in the circuit is approximately 1.741 × 10⁻³ µF.

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The amplitude of a particle executing simple harmonic motion is 5cm, while its angular velocity is 10 rads -1 . Calculate the magnitude of the maximum acceleration of the particle.

Answers

Answer:

a_max = 50 cm/s^2

Explanation:

To find the magnitude of the maximum acceleration of the particle, you take into account the equation of motion in a simple harmonic motion:

\(x=Acos(\omega t)\)

ω: angular velocity = 10 rad/s

A: amplitude = 5 cm

The acceleration is given by:

\(a=\omega^2 x\)

and the maximum acceleration is obtained when the cosine function is maximum, that is, when cos(wt) = 1. Then, you have:

\(a_{max}=\omega^2 x_{max}=\omega^2A\)

Then, you replace the values of w and A in order to calculate a_max:

\(a_{max}=(10rad/s)^2(5cm)=50\frac{cm}{s^2}\)

hence, the maximum acceleration is 50 cm/s^2

What is 50,000 in exponential notation?

Answers

Answer:

To write 50000 in scientific notation, we will have to move the decimal point four points to left, which literally means dividing by 104 . Hence in scientific notation 50000=5×104 (note that as we have moved decimal four points to left and thus divided by 104 , we are multiplying by 104 to compensate.

Explanation:

Pls help: A spring has a length of 1.0 meter when there is no tension on it. The spring is then stretched between two points 10 meters apart. A wave pulse travels between the two end points in the spring in a time of 1.0 seconds. The spring is now stretched between two points that are 20 meters apart. What is the new time it takes for a wave pulse to travel between the ends of the spring?

Answers

The new time it takes for a wave pulse to travel between the ends of the spring is 2.0 s.

The question has to do with period of a stretched spring.

What is the period of a stretched spring?

The frequency of a stretched spring is given by f = 1/2L√(T/μ) where

L = length of spring, T = tension and μ = linear density of spring

We then find the period

What is the period of a stretched spring?

The period of a stretched spring T = 1/f

T = 2L√(μ/T)

How to find new time it takes the wave pulse to travel?

We know that the time it takes the wave pulse to travel is the period, T = 1/f

So, T = 2L√(μ/T)

Since T and μ are constant, we have that

T ∝ L

So, T₂/T₁ = L₂/L₁ where

L₁ = initial length of spring = 10 m, T₁ = initial wave pulse time = 1.0 s, L₂ = final length of spring = 20 m, T₂ = final wave pulse time

Making T₂ subject of the formula, we have

T₂ = (L₂/L₁)T₁

Substituting the values of the variables into the equation, we have

T₂ = (L₂/L₁)T₁

T₂ = (20 m/10 m)1.0 s

T₂ = (2)1.0 s

T₂ = 2.0 s

So, the new time it takes for a wave pulse to travel between the ends of the spring is 2.0 s.

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find the magnitude of the resultant vector of two 22 pound forces that act on an object with 33 degrees between them.

Answers

This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.

What is vector?vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity’s magnitude. Although a vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, a vector is not altered if it is displaced parallel to itself.In contrast to vectors, ordinary quantities that have a magnitude but not a direction are called scalars. For example, displacement, velocity, and acceleration are vector quantities, while speed (the magnitude of velocity), time, and mass are scalars.

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what is alpha decay in physics

Answers

Alpha particles have a charge +2e decay is far and away from the foremost common sort of cluster decay, where the parent atom ejects an outlined daughter collection of nucleons, leaving another defined product behind. Like in case of other cluster decays, Alpha decay is also a fundamentally quantum tunnelling process.

Understanding Q Value in Alpha Decay:

In Physics, the Q-value is defined as the difference between the sum of the rest masses of original reactants and the sum of final product of masses. In simpler terms, we can say that the Q-value is the difference between the final and initial mass energy of the decayed products.

For the alpha decay equations, this Q-value is,

Q = (mX – mY – mHe) c2 (he-helium)

The energy Q derived from this decay is divided equally into the total transformed nucleus and the Helium nucleus.  

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Answer: alpha decay, type of radioactive disintegration in which some unstable atomic nuclei dissipate excess energy by spontaneously ejecting an alpha particle.

Explanation:

please help me with this question asap

please help me with this question asap

Answers

I can explain . Of an object is not moving then all the forces must be balanced. So the weight is balanced by a normal contact force.

a box of chocolate bars weighs 180N. Its base has an area of 0.09m2. what pressure does it exert on the ground

Answers

Answer:

2000

Explanation:

180/0.09

=2000

pressure=force/area

In the sketch to the right, a long straight wire is in the plane of a rectangular conducting wire loop. The current in the straight wire is up. At some point the current in the straight wire starts to increase in magnitude. This increased current leads to an induced current in the wire loop. In which direction will the induced current in the wire loop be? Explain how you reached this conclusion. How would your answer be different if the wire loop was on the left side of the wire instead of the right side?

Answers

The direction of the induced current in the wire loop is anti-clockwise.

The direction of the induced current if the wire loop was on the left side of the wire is clockwise.

Lenz's law and the direction of the induced current are the key concepts needed to address this issue.

To determine the direction of the induced current under various circumstances, use Lenz's law.

The induced emf of the coil is proportional to the negative of the rate of change of magnetic flux, according to Faraday's law.

The following expression represents the typical emf that is generated in the coil during the course of the time period: \($$\varepsilon=-\frac{\Delta \Phi}{\Delta t}$$\)

Here, \($\varepsilon$\) is the average emf that is induced in the coil during the time interval and \($\Delta \Phi / \Delta t$\) is the rate of change of magnetic flux.

A magnetic field is induced in the rectangular loop as a result of the current in the wire. The plane is the intended target of this magnetic field.

As the current in the wire grows, the magnetic flux in the rectangular coil rises.

An emf and current are induced by Faraday's law.

Following is noted from Lenz's law:

The inwards growing flux is opposed by the generated current. Therefore, the induced current must flow counterclockwise in order to meet this.

When the rectangular loop is kept to the left of the wire, the magnetic flux will be directed outward.

If the wire loop was on the left side of the wire, the induced current would flow clockwise.

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In the sketch to the right, a long straight wire is in the plane of a rectangular conducting wire loop.

A pendulum bob swings along its characteristic arc as shown. Rank the gravitational potential energy of the pendulum bob at the three marked locations

Answers

Answer:

Gravitational potential energy is the maximum at point C and lowest at point A

Explanation:

The image for the question is provide in the attached file

The energy of pendulum is governed by mechanical energy. Mechanical energy is the sum of potential energy and kinetic energy

Potential energy increases with increasing height. Thus, when the pendulum bob is at maximum height, then its potential energy is also the highest.

Thus, At point C, the gravitational potential energy is the highest

At point A, the  gravitational potential energy  is substantial but lower than that of gravitational potential energy at point C

AT point A, gravitational energy is the lowest

A pendulum bob swings along its characteristic arc as shown. Rank the gravitational potential energy

state the order in which the following possible stages of a star occur: main-sequence star, planetary nebula, white dwarf, protostar, red giant.

Answers

The possible stages of a star occur in a specific order. First, a protostar is formed from a dense cloud of gas and dust. Then, as the protostar contracts and heats up, it becomes a main-sequence star and begins to generate energy through nuclear fusion. This stage can last for billions of years until the hydrogen fuel in the star's core is depleted.

At this point, the star begins to expand and becomes a red giant, which is characterized by its increased size and cooler temperature. As the red giant burns off its outer layers, it sheds material and creates a planetary nebula. This stage can last for thousands of years until the star's core collapses and becomes a white dwarf.

The white dwarf is a small and hot remnant of the star's core that no longer generates energy. It will gradually cool down over billions of years until it becomes a cold black dwarf. In summary, the order in which the possible stages of a star occur is protostar, main-sequence star, red giant, planetary nebula, white dwarf, and finally a black dwarf.

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A fixed amount of a gas occupies a volume of 1liter and exerts a pressure of 400 kPa on the walls of its container. What would be the pressure exerted by the gas if it is completely transferred into a new container having a volume of 3liter?​

Answers

Answer: P2 = (400 kPa x 1 L) / 3 L = 133.33 kPa

Explanation:

P1V1/T1 = P2V2/T2

P2 = (P1V1)/V2

plug in  values = P2 = (400 kPa x 1 L) / 3 L = 133.33 kPa

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