Which statement is NOT true?
O Acceleration is always a positive number.
O Acceleration has the SI units of m/s².
O The slope on a speed-time graph is the object's acceleration.
O
To calculate the acceleration of an object, the change in velocity is divided by the length of the time interval over which
the change occurs.

Answers

Answer 1

Statement 1 is not correct.

The rate at which velocity changes over time, both in terms of speed and direction, is defined as acceleration. A point or object traveling in a straight path is accelerated if it accelerates or decelerates. Even if the speed is constant, the motion of a circle is accelerated because the direction is constantly changing.

Given that

Acceleration is always a positive number.

Acceleration has SI units of m/s².

The slope on a speed-time graph is the object's acceleration.

To calculate the acceleration of an object, the change in velocity is divided by the length of the time interval over which the change occurs.

When a body accelerates, it is positive; when it slows, it is negative. Positive acceleration is directed along the velocity axis. Negative acceleration, on the other hand, is oriented in the opposite direction as the velocity.

The SI unit of acceleration is m/s2. Because acceleration is defined as velocity in meters per second divided by time in seconds, the SI units for acceleration are m/s2, meters per second squared, or meters per second per second, which essentially means how many meters per second the velocity changes every second.

The acceleration of an item is represented by the slope of a speed-time graph. The slope of a speed-time graph displays the rate of change of the body's speed and is known as acceleration.

To compute an object's acceleration, divide the change in velocity by the length of the time interval over which the change occurs. When you accelerate quickly, you apply a lot of force on an object. Depending on the speed and direction, acceleration can be either positive or negative.

A = velocity change/time

A = (vf- v1)/time

Therefore statement 1 is not correct

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Related Questions

3. An airplane accelerates from rest down a runway at 3.20 m/s² for 42.5 s until it finally lifts
off the ground. Determine how far the plane traveled before takeoff.
a. 1721.34 m
b.
968.26 m
c.
2205.47 m
d. 1115,14 m
e.
2890 m

Answers

e option is the correct answer - 2890m

Initial velocity(u) = 0[tex]m/s[/tex]

Accelaration(a) = 3.20[tex]m/s^{2}[/tex]

time(t) = 42.5s

The equation S = u t + 1 2 a t 2 is newton's second equation of motion. Here, 'S' represents the displacement of a body, 'u' represents the initial velocity of a body, 't' represents the time taken by the body to cover the displacement in t time(seconds), and 'a' represents the constant acceleration of a body throughout the movement.

[tex]s = ut + 1/2at^{2}[/tex]

[tex]s = 0(t) + 1/2(3.20)(42.5^{2}) \\s = 1/2(5780)\\s = 2890m[/tex]

The value of s is 2890m.

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Question on dimension

Answers

Explanation:

1. Dimension formula of luminous flux matches with which of the following?

Force

Rotational impulse

Momentum

Power

Answer: d) Power

A 350 watt speaker projects sound in a spherical wave. Find the intensity of the sound at a distance of 3.0 m and 9.0 m from the speaker.

Answers

The intensity of the sound at a disatance of 3.0 m and 9.0 m from the 350 watt speaker is 3.09 db and 0.34 db respectively.

What is intensity of sound?

Sound intensity, also known as acoustic intensity, is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.

To calculate the intensity of sound, we use the formula below.

Formula:

I = P/4πr²............................................. Equation 1

Where:

I = Intensity of sound r = Distance from then speakerP = Power

Given

P = 350 W

At a distance of 3m,

I = 350/(4×3.14×3²)I = 3.09  db

At a distance of 9.0 m,

P = 350(4×3.14×9²)P = 0.34 db

Hence, the intensity of the sound at a distance of 3.0 m and 9.0 m is 3.09 db and 0.34 db respectively.

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Forces
A cyclist cannot reach terminal velocity going downhill.

Answers

Answer:

Air resistance

PLEASE GIVE BRAINLIEST THANK YOU!!!

(8.6) A space station in deep space is spun like a giant wheel to produce centrifugal force so the occupants experience artificial gravity of one g. How does a clock at the rim of the space station compare with one residing at the hub? What does this say about the behavior of a clock sitting on the surface of a planet with a surface gravity of one g?

Answers

The way that the clock at the rim of the space station compare with one residing at the hub is that Rim clock will always runs slower.

The behavior of a clock sitting on the surface of a planet with a surface gravity of one g is the same.

Is there a timepiece on the ISS?

For instance, timekeeping on the International Space Station (ISS) is slightly slower than that of reference clocks on Earth. This explains why astronauts on the International Space Station (ISS) mature more slowly, lagging by 0.007 seconds every six months.

Ground-based atomic clocks have served as the industry standard for timekeeping since the 1950s. These clocks use the extremely steady and accurate frequencies of light emitted by particular atoms to keep time.

Therefore, Satellite clocks run slower due to more velocity but faster due to reduced gravity. Clocks move more slowly at the ISS orbital height because velocity dominates. At GPS altitude, clocks move more quickly due to the influence of gravity.

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Which of the following choices is an example of gathering evidence? OA. Forming opinions. OB. Taking measurements OC. Asking questions. OD. Drawing conclusions. SUB

Answers

The following choice is an example of gathering evidence in Taking measurements. Option B.

The scientific method is the process of objectively establishing facts through testing and experimentation. The basic process is to make observations, form hypotheses make predictions conduct experiments and finally analyze the results. Accurate readings are evidence-based.

Without evidence the author just states his opinion. So writing an essay begins with gathering evidence long before writing it. The advantage of naturalistic observation is that the researcher can directly observe the subject in its natural environment. This method gives scientists direct insight into social behavior and helps them realize things they might not have encountered in a laboratory setting.

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Being moody, depressed, or having guilty feelings would be associated with which dimension of the PEN model?

Answers

The PEN model is a biological theory of nature developed by influential psychologist Hans Eysenck (1916-1997). The model pivot on three broad personality factors: psychoticism, extraversion, and neuroticism (PEN).

which dimension of the PEN model?

In the PEN model, character comprises three major dimensions: extraversion, neuroticism, and psychoticism. These pictorial dimensions have Former developing the PEN model, Eysenck chase to quantify personality based on two sizes: extraversion-introversion. Before evolving the PEN model, Eysenck sought to measure nature in two sizes: extraversion-introversion and neuroticism-emotional. Eysenck's PEN theory has suggested an influential classification for the biological basis of personality dimensions: Psychoticism

So we can conclude that The PEN model contains three personality dimensions based on psychophysiology: Psychoticism, Extraversion, and Neuroticism.

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Which of the following objects
transforms chemical energy into
mechanical energy?
A. Battery powered clock
B. Cell phone
C. Washing machine
D. Windmill

Answers

Battery-powered clocks and Washing machines are objects that transform chemical energy into mechanical energy.

What are chemical energy and mechanical energy?

Chemical energy is a type of energy that is stored in the bonds of a chemical. It is converted into thermal energy when people burn wood or burn gasoline in the engine of a car. Mechanical energy is a type of energy that is stored in objects by tension. Compressed springs and stretched bands are examples of mechanical energy.

Mechanical energy i.e. kinetic energy or potential energy is the energy that is present in an object in motion or the energy that is stored in objects due to their position. Mechanical energy is a type of renewable energy.

So we can conclude that options A and C are the correct answers.

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PLEASE, PLEASE, PLEASEE!!!

EXPLAIN IN DETAIL HOW THE TWO RELATES TO THE CELL THEORY

The following lists components of the nature of science. Explain how at least two of these are related to the cell theory:

Scientific knowledge is durable yet subject to change
Science is a social activity

Answers

The foundation of biology is modern cell theory, which is a commonly recognized explanation of the relationship between cells and living things.

When scientific knowledge lasts a long time, what does that mean?

Because it has been independently verified by numerous scientists working together, scientific knowledge is regarded as lasting. Independent researchers utilize the scientific method to generate factual data and knowledge that adds to the body of knowledge in their subject.

What does social science know scientifically?

A generalized collection of laws and hypotheses developed using the scientific method and intended to explain a phenomenon or behavior of interest is referred to as scientific knowledge. Theories are methodical explanations of the underlying phenomenon or behavior, whereas laws are recognized patterns of occurrences or behaviors.

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A wind turbine transfers energy from __________ energy stores. What one word completes the sentence?

Answers

A wind turbine transfers kinetic energy to mechanical energy from energy stores, which is then used to generate electricity.

What is wind energy?

Wind energy is a type of renewable source of energy that can be used for converting it into electrical energy by the use of turbines that transform mechanical energy into electricity, which is then used for different purposes (both industrial and  particular home usage).

Therefore, with this data, we can see that wind energy can be used to generate electricity by means of turbines that convert mechanical energy into electricity.

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A 2.0 kg block is pushed 2.0 m at a constant
velocity up a vertical wall by a constant force
applied at an angle of 30.0
◦ with the horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s
2
.

Answers

For a 2.0 kg block is pushed 2.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of 30.0, the work done is 8.3 J

What is Work Done?

This refers to the term that shows the product of the displacement of an applied force in a given direction.

Hence, the calculations are:

The work done by a force pushing an object is given by:

W= Fdcos[tex]\alpha[/tex]

where

F is the magnitude of the forced is the displacement of the object[tex]\alpha[/tex] is the angle between the direction of the force and of the displacement

d= 1m

[tex]\alpha[/tex] = 63 degrees

W= (18.3)(1)(cos 63 degrees)

=8.3J

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A 2.0 kg block is pushed 1.0 m at a constant

velocity up a vertical wall by a constant force

applied at an angle of 27.0

◦ with the horizontal, as shown in the figure.

The acceleration of gravity is 9.81 m/s

2.

If the coefficient of kinetic friction between

the block and the wall is 0.40, find

a) the work done by the force on the block.

positive charge Q and a particle with a negative charge -Q. What will be the direction of the electric field at point P?

Answers

The direction of the electric field at a given point is determined by the relative magnitudes and positions of the charges involved. The electric field lines always point away from positive charges and towards negative charges. The strength of the electric field is greater when the charges are closer together.

At point P, the direction of the electric field created by a positive charge Q and a particle with a negative charge -Q will depend on the relative positions of the charges. Let's consider two scenarios:

1. If the positive charge Q is closer to point P than the negative charge -Q:

In this case, the positive charge Q will exert a stronger electric field compared to the negative charge -Q at point P. The electric field vectors will point away from the positive charge Q and towards the negative charge -Q. Therefore, the overall direction of the electric field at point P will be towards the negative charge -Q.

2. If the negative charge -Q is closer to point P than the positive charge Q:

In this scenario, the negative charge -Q will exert a stronger electric field compared to the positive charge Q at point P. The electric field vectors will point away from the negative charge -Q and towards the positive charge Q. Consequently, the overall direction of the electric field at point P will be towards the positive charge Q.

It's important to note that the direction of the electric field is independent of the charge of the test particle at point P. The electric field exists irrespective of the presence of a test charge, and its direction is determined solely by the configuration and positions of the charges creating the field.

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Question 7: Which takes up more volume: a ton of platinum, or a ton
of graphene aerogel?
a) A ton of platinum
b) b) A ton of graphene aerogel
c) They have the same mass, so they'd take up the same volume

Answers

Answer:

b)

Explanation:

A graphene aerogel is seven times lighter than air, with the same mass, its volume is greater

The volume is inversely proportional to density. Graphene aerogel has the least density of platinum. Hence, a ton of graphene aerogel takes up more volume than a ton of platinum.

What is density?

Density (ρ) is the ratio of mass and volume. Volume represents the space occupied by a substance in three-dimension. Mass is an intrinsic property that represents the quantity of a substance.

ρ = m / V. ρ represents density and its SI unit of density is kg/m³. m represents mass and its SI unit is kg. V represents volume and its SI    unit is .

Density is inversely proportional to volume. Density increases with a decrease in volume.  Density decreases with an increase in volume. Density is directly proportional to mass.

The density of graphene aerogel ranges from 0.11-0.19 g/cm³. The density of platinum is 21.45 g/cm³. Hence, volume is greater for lesser density and vice-versa.

The mass of a ton of platinum is lesser compared to the mass of a ton of graphene aerogel. Density increases with an increase in mass and density decreases with a decrease in mass.

Hence, a ton of graphene aerogel can take up a larger volume than a ton of platinum. Thus, option B is correct.

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The helicopter now starts to accelerate upwords at 2,25m.s-2. calculate the tension in the cable if the tension of the cable is 1205,4 N

Answers

Answer:

1205.4N

Explanation:

given. "if the tension of the cable is 1205.4N)

A person who is high in comfort with closeness and high in anxiety over abandonment in Bartholomew's attachment model would be called

Answers

A person who is high in comfort with closeness and high in anxiety over abandonment in Bartholomew's attachment model is known as a generalized anxiety disorder

What is meant by generalized anxiety disorder?

An individual is said to be suffering from a generalized anxiety disorder when he or she worries too much, gets worried constantly or excessively and subjects the person to being abandoned to his problem or situation. It is on this premise that such individuals are usually in Bartholomew's attachment model.

So therefore, we can now confirm and deduce from the simple note given above that a generalized anxiety disorder have great negative impact on our wellness.

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Jason Bourne drives his stolen Audi A6 at 25 m/s across the roof of a parking garage and off the edge. The lower parking deck is 18.6 m below.

A. How far out from the edge will he land?

B. With what speed will he hit (magnitude and direction)?

Answers

A. The distance from the edge that the car will lad is 48.75 m.

B. The velocity it hit the ground with, v is 19.1 m/s in the forward direction.

What distance from the edge will the car travel at a velocity of 25 m/s?

The distance from the edge will the car traveling at a velocity of 25 m/s is calculated as follows:

Distance = velocity * time

Time taken = √(2h/g)

where h is the height = 18.6 m

g is the acceleration due to gravity = 9.8 m/s²

t = √(2 * 18.6/9.8)

t = 1.95 seconds

Distance = 25 * 1.95

Distance = 48.75 m

The velocity it hit the ground with, v is calculated as follows:

v²= u² + 2gh

where;

u is initial vertical velocity = 0

g = 9.8 m/s²

h = 18.6 m

v = √2gh

v = √(2 * 9.8 * 18.6)

v = 19.1 m/s in the forward direction.

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PLEASE HELP, THE QUESTION IS IN THE IMAGE.

Answers

The weight of the container on Mars is 296 N.

The weight of the container on Uranus  is 696 N.

The mass of the container on both Mars and Uranus is constant.

What is weight of an object?

The weight of an object is the measure of effect of gravitational force on an object.

The weight of an object changes with change in acceleration due to gravity.

Mathematically, weight of an object is given as;

W = mg

where;

m is mass of an objectg is acceleration due to gravity

The mass of an object is defined as the quantity of stuff contained in an object.

The mass of an object does not change with gravity.

The weight of the container on Mars is calculated as follows;

W = mg

where;

m is mass of then container = 80 kgg is acceleration due to gravity of Mars = 3.7 m/s²

W = 80 x 3.7

W = 296 N

The weight of the container on Uranus  is calculated as follows;

W = mg

where;

m is mass of then container = 80 kgg is acceleration due to gravity of Uranus = 8.7 m/s²

W = 80 x 8.7

W = 696 N

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Answer:

he weight of the container on Mars is 296 N.

The weight of the container on Uranus  is 696 N.

The mass of the container on both Mars and Uranus is constant.

Explanation:

A 500 kg roller coaster car pauses at the top of a 40 m hill before rolling without friction to the bottom. Determine the speed of the car at the bottom of the hill

Answers

Answer:

v = 28 m/s

Explanation:

Since energy is conserved:

Eg = Ek

mgh = 1/2mv^2

masses cancel

gh = 1/2v^2

(9.8)(40) = 1/2v^2

(2)(40)(9.8) = v^2

v = sqrt(784)

v = 28 m/s

A particle of charge +2 q is placed at the origin and particle of charge - q is placed on the x - axis at x = 2a. Where on the x - axis can a third positive charg e be placed so that the net electric force on it is zero?

The answer is 6.8 how do I get this?

Answers

Particles with the like charges attract while opposites repel therefore the third charge has to be placed on the right side of -q charge for the electric force to be zero at a distance of 6.8 from the origin.

How is distance from origin calculated?

Electric force is measured = (kq₁q₂)/r²

Where k is a constant,

q₁ is charge of the particle at the origin, +2,

q₂ is the charge of the particle on the x-axis, -q

r is the distance from origin

2a is the distance from -q

e is electric force, 0

Let distance of particle from -q be x and +2q be y

y - x = 2a

x = y - 2a

kqe/x² = k2qe/(x + 2a)²

((x + 2a)/x)²  = 2

(1 + 2a)/x = √2 cross multiply

x = 2a/(√2 - 1) = 4.8284a

x = 4.8284a

y = x + 2a

y = 4.8284a + 2a

y = 6.8284a approximately 6.8a

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pls help me thx ......................................................................

Answers

The work done by the cat is 500J and the force with which the frog hit the lily pad is 5N.

The definition of work includes both the force that is applied to the body and the displacement of the body.

Think about a block that is resting on a horizontal, frictionless floor. A constant force F acts on this block. The result of this force is to move the body d meters in a straight line in the force's direction.

Work done = Force * displacement

Work done = 50N * 10m

Work done = 500Nm

Thus, the work done by the cat is 500J.

Force = Work done / displacement

Force = 10J /  2m

Force = 5N

Thus, the force with which the frog hit the lily pad is 5N.

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A person with body resistance between his hands of 10k accidentally grasps the
terminals of a 14-kV power supply. If the power supply is to be made safe by increasing
its internal resistance, what should the internal resistance be for the maximum current in
the above situation to be 1.00 mA or less?

Answers

14 mΩ should the internal resistance be for the maximum current in

the above situation to be 1.00 mA or less .

What is internal resistance ?

Internal resistance refers to the resistance to current flow provided by the cells and the battery itself, resulting in heat generation. Internal resistance is measured in ohms. The relationship between the internal resistance (r) and electromotive force (e) of cell s is given by

e = I (r + R)

where e = EMF, or H. electromotive force (volts), I = current (A), R = load resistance, r is the internal resistance of the cell, measured in ohms.

Rearranging the above formula, we get: e = IR + Ir or e = V + Ir

In the above equation, V is the potential difference (clamp) across the cell when current (I) is flowing through the circuit.

r = E-Ir/I

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Moving electric charges, or currents, give rise to?
A. Magnetic fields
B. Stored energy
C. Decreases in temperature
D. Potential energy

Answers

Answer:

A =Magnetic fields

Explanation:

A car of mass 1000 kg is travelling at a velocity of 10 ms-1. It
accelerates for 15 s, reaching a velocity of 24 ms].
Calculate:
a. The change in momentum of the car in the 15 s period.
b. The average force acting on the car as it accelerates.

Answers

(a) The change in monetum of the car of mass 1000 kg is 14000 kgm/s .(b) The average force on  the car as it accelerates is 933.3 N.

(a) What is change in mometum?

This can be defined as the product of the mass of a body and its change in velocity.

To calculate the change in momentum, we use the formula below.

Formula:

ΔM = m(v-u).......... Equation 1

Where:

ΔM = Change in momentum of the carm = Mass of the carv = Final velocityu = Initial velocity

From the question,

Given

m = 1000 kgv = 24 m/su = 10 m/s

Substitute these values into equation 1

ΔM = 1000(24-10)ΔM = 1000×14ΔM = 14000 kgm/s

(b)

Also, to calculate the average force of the car, we use the formula below.

Formula:

F = ΔM/t........ Equation 2

Where:

F = Average forcet = Time

From the question,

Given:

t = 15 s

Substitute into equation 2

F = 14000/15F = 933.3 N

Hence, (a) The change in monetum of the car is 14000 kgm/s (b) The average force of the car is 933.3 N.

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20pts!
Alex slides a 170 g hockey puck across a sheet of ice. The coefficient of kinetic friction between the puck and the ice is 0.09. What is the puck's rate of acceleration as it slides across the ice?

-0.88 m/s2
−1.74 m/s2
−1.16 m/s2
−2.09 m/s2

Answers

The rate of acceleration of the hockey puck with a mass of 170 g is 0.88 m/s².

What is acceleration?

Acceleration can be defined as the rate of change of velocity.

To calculate the acceleration of the puck, use the formula below.

Formula:

a = gμ................ Equation 1

Where:

a = Acceleration of the puckg = Acceleration due to gravityμ = Cofficient of kinetic friction

From the question,

Given:

g = 9.8 m/s²μ = 0.09

Substitute these values into equation 1

a = 9.8×0.09a = 0.88 m/s²

Hence, puck's rate of acceleration is 0.88 m/s².

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A climber of mass 100 kg (including the equipment she is carrying) ascends from sea level to the top of a mountain 5500 m high. Calculate the change in her gravitational potential energy

Answers

Answer: Change in gravitational potential energy = 5500 KJ

Explanation:

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A 5-m long board is placed on top of two supports spaced 3 m apart. The board is placed so that one end is on the left support. The mass of the board is 30 kg. How far can a 100 kg person walk from the left end of the board without it rotating?

Answers

See below

3.15 m

When the Moments around thefulcrum , F , are equal, any increase in 'x' will cause a tip

I placed the weight of the board sections at the middle of the sections ...I think this is correct (?  It has been a long time since I did simple Physics)

L moment = R moment

1.5 * 18   =   100 * x    + 1 * 12

x = .15    m    from the fulcrum or   3.15 m from the L end

(hope it is correct !)

help please

Constellations move along a celestial sphere. Which statement does not accurately represent how a person views constellations based on the celestial sphere?

A) Constellations remain in the same place in the night sky throughout the year.

B) A person's view of a constellation in the Southern Hemisphere may not look exactly the same to someone in the Northern Hemisphere who is viewing the same constellation.

C) Constellations appear to move positions each night.

D) A person in the Southern Hemisphere would see different constellations than someone in the Northern Hemisphere.

Answers

Answer: It should be B

Explanation:

The reason being that stars are constantly moving, and you may seem the see the same stars but in a different location or not see them at all. Hope this was helpful. :)

Answer:

the answer is B

Explanation:

Question 12 of 34
A water faucet has a circular handle with radius 2.5 cm attached to a central
shaft with radius 0.50 cm. What is the mechanical advantage of the faucet
handle?
OA. 0.20
OB. 1.3
OC. 5.0
OD. 2.0

Answers

Answer:

C: 5

Explanation:

MA = radius of wheel/ radius of axle

MA =2.5/0.5

MA = 5.0

What is the displacement of the iguana between 0s and 6s

Answers

Answer: Displacement between 0s and 6s = 2

Explanation:0+2=2

A 7500 kg truck traveling at 5.0 m/s east collides with a 1500 kg car moving
at 20 m/s in a direction 30 o

south of west. After collision, the two vehicles
remain tangled together. Find the speed and state the direction of car.

Answers

Since the collision is inelastic, both vehicle will move with a common velocity of 2.5 m/s in south east direction after collision.

Conservation of Linear Momentum

It states that, the sum of the momentum before collision is equal to the sum of the momentum after collision.

Given that a 7500 kg truck traveling at 5.0 m/s east collides with a 1500 kg car moving at 20 m/s in a direction 30° south of west. After collision, the two vehicles remain tangled together.

The given parameters are;

M1 = 7500 kgU1 = 5 m/sM2 = 1500U2 = 20 sin 30 = 10 m/sV = ?

The formula to find the speed will be

M1U1 - M2U2 = (M1 + M2)V

7500 × 5 - 1500 × 10 = (7500 + 1500)V

37500 - 15000 = 9000V

22500 = 9000V

V = 22500/9000

V = 2.5 m/s

Therefore, the common speed will be 2.5 m/s and the direction of the car will be toward the south east.

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A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle. 3 36 square root of 39 square root of 43 twenty tiles are numbered through and are placed into box . twenty other tiles numbered through are placed into box . one tile is randomly drawn from each box. what is the probability that the tile from box is less than and the tile from box is either even or greater than ? express your answer as a common fraction. the aztec created an empire in Mexico at the same time that How did religion play a role as a cause of the American independence movement and subsequent Revolution?You will use the sources you find, your notes, and your knowledge to write a short (250- to 500-word) essay that answers the question you selected. Finally, refer to your notes and the provided documents to write a short essay using the author-date system, make sure you provide parenthetical, in-text citations for any information you use from outside sources. Describe the working conditions of most immigrants working on the Transcontinental railroad I need help!Spanish 1Write sentences about a superhero.Include 10 sentences using the regular verbs ending in -ar conjugated in present tense including the verb gustar.Make it simple if possible. Rafi has $6,629 in an account that earns 10% interest compounded annually. To the nearest cent, how much interest will he earn in 4 years? aisha, a manager at zappo inc., rewards her subordinates for their good performances. which of the following approaches does she most likely use? The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.R(x) = 24xC(x) = 17x + 161 Company a has 279,000 basic shares outstanding and 26,000 outstanding options and warrants. The exercise price of these options is $3. 75. The company also has $200,000 of convertible bonds with an effective conversion price of $4. 0. The average market share price for the reporting period is $7. 50. What is the diluted shares outstanding using the treasury stock method & if-converted methods?. (PLEASE HELP FAST) A 9-member team plans to run a 4-mile relay race. Distance markers are placed on the racecourse every 0.25 mile. a. Place an X on the number line at the approximate locations where the relay exchanges will take place. b. Will any of the relay exchanges take place at any of the 0.25-mile markers? If so, which one(s)? List the locations of all of the exchanges in decimal form. Collecting old coins and paper notes (is, are, was, were) one of my father's hobbies when he retired. What happens if a muscle cell has LOTS of myofibrils? lauren and ada are in an intercultural marriage. they have both agreed to give up certain aspects of their culture, but now ada is starting to resent giving up some of the things she grew up with. lauren and ada have probably used the style of interaction in intercultural marriage. obliteration compromise consensus immersion Which of the following choices is the y-intercept of the equation -3x - 2y = 10?3-35-5 sal-mon 1 of 1 question 2 with 1 blank ins-pec-tor 1 of 1 question 3 with 1 blank nu-me-ro 1 of 1 question 4 with 1 blank fa-cil 1 of 1 question 5 with 1 blank ju-go 1 of 1 question 6 with 1 blank a-bri-go 1 of 1 question 7 with 1 blank ra-pi-do 1 of 1 question 8 with 1 blank sa-ba-do 1 of 1 question 9 with 1 blank vez 1 of 1 question 10 with 1 blank me-nu 1 of 1 question 11 with 1 blank o-pe-ra-cion 1 of 1 question 12 with 1 blank im-per-me-a-ble 1 of 1 question 13 with 1 blank a-de-mas 1 of 1 question 14 with 1 blank re-ga-te-ar 1 of 1 question 15 with 1 blank an-ti-pa-ti-co 1 of 1 question 16 with 1 blank far-ma-cia 1 of 1 question 17 with 1 blank es-qui 1 of 1 question 18 with 1 blank pen-sion 1 of 1 question 19 with 1 blank pa-is 1 of 1 question 20 with 1 blank per-don 1 of 1 The area of a parallelogram i 12 quare unit. One ide of the parallelogram i 18 unit long. The other ide i 6 unit long. Determine whether each dimenion could be the height of the parallelogram. Pick all correct. A. 2/3 unitB. 3/2 unitC. 2 unitD. 3 unit If the earth was once cold and then warmed again, what caused the warming? Which factor plays the biggest role in delaying the detection of childhooddiseases? Out of the 4 choices which word means the same as the word Haughty in this sentence?(ASAP)