A 1,000 kg car is moving in a straight line at an acceleration of 9 m/s/s. What is the force on
the car

Answers

Answer 1

Answer:

The answer is 9000 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 1000 × 9

We have the final answer as

9000 N

Hope this helps you


Related Questions

A wooden block has a volume of 12 cm3 and a density of 3 g/cm3. What is the mass of the wooden block?

Answers

Answer:

36g

Explanation:

formula;

density=mass/volume

density*volume=mass

3*12=36g

hope this helps :D

Answer:

3.34g/cm

Explanation:

The magnetic field 0.225 m from a
wire is 4.29 x 10-7 t. how much
current is flowing through the wire?

need asap please will give brainiest

Answers

Answer:

i = 0.483 A

Explanation:

B = \(\frac{U.i}{2pi*r}\)

So, here the r is 0.225 m

The Magnetic field is 4.29 x \(10^{-7}\) t

U. = 4π x \(10^{-7}\) x i

4.29 x \(10^{-7}\) = (4π x \(10^{-7}\) x i) / (2π * 0.225)

Cutting  \(10^{-7}\)

4.29 = \(\frac{4π * i}{2π * 0.225}\)

4π and 2π canceled, left with 2

4.29 = \(\frac{2i}{0.225}\)

4.29*0.225 = 2i

0.96525 = 2i

i = \(\frac{0.96525}{2}\)

i = 0.482625 A

Rounding to 3 digits after decimal, we get

∴ i = 0.483 A

1. Find the electric field of a - 3.2 n C charge from a distance of 6 m.
2. Find the electric field of a + 3.2 n C charge from a distance of 6 m.
3. If two + 3.4μC experience a force of 0.01 C/m, how far are they from one another?
4. If two - 6μC experience a force of 0.03 C/m, how far are they from one another

Answers

Plugging in these values gives an electric field of -1.07 x 10-8 N/C.

What is electric field?

Electric field is a physical phenomenon that occurs when an electric charge is present in a space.

The electric field of a -3.2 nC charge from a distance of 6 m can be calculated using the equation E = kQ/r2, where k is Coulomb's constant (8.99x109 Nm2/C2), Q is the charge of the particle (in this case, -3.2 nC), and r is the distance from the particle (6 m). Plugging in these values gives an electric field of -1.07 x 10-8 N/C.

2. The electric field of a +3.2 nC charge from a distance of 6 m can be calculated using the same equation as in #1, E = kQ/r2, where k is Coulomb's constant (8.99x109 Nm2/C2), Q is the charge of the particle (in this case, +3.2 nC), and r is the distance from the particle (6 m). Plugging in these values gives an electric field of +1.07 x 10-8 N/C.

3. To find the distance between two +3.4 μC particles that experience a force of 0.01 C/m, we can use the equation F = kQ1Q2/r2, where k is Coulomb's constant (8.99x109 Nm2/C2), Q1 and Q2 are the charges of the two particles (in this case, +3.4 μC each), and r is the distance between them. Plugging in these values gives a distance of 5.81 m.

4. To find the distance between two -6 μC particles that experience a force of 0.03 C/m, we can use the same equation as in #3, F = kQ1Q2/r2, where k is Coulomb's constant (8.99x109 Nm2/C2), Q1 and Q2 are the charges of the two particles (in this case, -6 μC each), and r is the distance between them. Plugging in these values gives a distance of 1.31 m.

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A pilot drops a bottle out an airplane. If the plane was flying at an altitude of 500 m
and the bottle lands 400 m horizontally from the initial dropping point, how fast was
the plane flying when the bottle was released?

Answers

The plane was flying at 39.6 m/s when the bottle was released .

\(h = ut + 1/2at^2\)

distance fallen h= 500m

Initial velocity u=0

a=98 m/s2

\(h = 1/2at^2\)

\(t^2 = 2h/a\)

\(t^2 = 1000/9.8 = 10.1s\)

\(d_h = 400, t = 10.1s\)

\(v = d_h/t\\v = 400/10.1\)

v = 39.6 m/s

What is Altitude ?

Altitude or Height  (also known as depth) is a measurement of the distance between a reference point and a point or object, usually in a vertical or "upward" direction. The exact definition and reference value varies depending on the context (eg, aeronautics, geometry, geodesy, sports, or barometric pressure). Although the term height is often used to refer to the height of a place above sea level, in geography the term height is often preferred for this use.

The vertical measurement of distance in the "down" direction is usually called depth.

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i message definition​

Answers

Answer:

ok?

Explanation:

Devon is applying 100N of force to pull 15kg object, but the object isn’t moving.what does this indicate about the coefficient of friction for the surface?

A) the surface has a low coefficient of friction

B) the surface has a high coefficient of friction

C) you can’t draw a conclusion from the information provided

D) the static coefficient of friction is equal to the appeal force

Answers

Answer:

B) the surface has a high coefficient of friction

When an object is not moving despite an applied force, it means that the frictional force is equal to or greater than the applied force. A high coefficient of friction indicates that the frictional force is strong, making it difficult to move the object. In this case, the frictional force is equal to the 100 N of force that Devon is applying, so the coefficient of friction for the surface must be high.

The diagram shows the electric field lines surrounding two positive point charges. If the charge on the right were replaced with a negative charge, which of these would need to change to make a correct representation of the electric fields? (Choose all that apply)
A. Field Lines would full in between the two charges (instead of leaving a blank area at point D
B. The field lines around both charges would change direction.
C. The field lines would get closer together
D. The arrows on the field lines surrounding the negative charge would need to point toward instead of away from the charge.

The diagram shows the electric field lines surrounding two positive point charges. If the charge on the

Answers

Answer:

Explanation:

The wording on some of these choices is very strange; I'm not sure exactly what they are stating. First of all, A. is definitely a choice because if both the charges were opposite, they would be attracted to one another as opposed to be repelled away from one another, as they are when they are both positive. What happens is that the charges go OUT from the positive charge and INTO the negative; so as far as the field lines around both charges would change direction...no; only the direction of the field lines would change on the positive charge (which is the one on the left). In that space where D is filled in by the field lines going OUT of the positive charge and INTO the negative one, the lines there are naturally closer together, and that is the point where the charge is the greatest. So if that is what is meant by the field lines getting closer together, then yes, they do. As far as choice D. again the field lines on the negative charge don't change, only the ones on the positive charge change.

The arrows on the field lines surrounding the negative charge would need to point toward instead of away from the charge.

These pattern of lines, sometimes referred to as electric field lines, point in the direction that a positive test charge would accelerate if placed upon the line. As such, the lines are directed away from positively charged source charges and toward negatively charged source charges.

What is negative charge ?

“ When an object has more electrons than protons then the object is said to be negatively charged.”

What is positive charge ?

“When an object has more protons than electrons, the object is said to be positively charged.”

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The diagram shows the electric field lines surrounding two positive point charges. If the charge on the

Which value is NOT equivalent to the others?

Multiple choice question.

A)
5 × 1011 nm


B)
0.5 km


C)
500 m


D)
5000 cm

Answers

Answer:

A) 5 × 1011nm

I think It's A

1. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.30 m?

30 m/s


2. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 0.10 m?

0.772m


3. What is the frequency of a wave that has a wave speed of 20 m/s and a wavelength of 0.50 m?

40 Hz


4. What is the frequency of a wave that has a wave speed of 80 m/s and a wavelength of 0.20 m?




5. What is the frequency of a wave that has a wave speed of 120 m/s and a wavelength of 0.40 m?




6. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 440 Hz?




7. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 880 Hz?




8. What is the wavelength of a sound wave that has a speed of 250 m/s and a frequency of 400 Hz?




9. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?




10. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.50 m?

Answers

Answer:

1. v = 30 m/s

2. v = 5 m/s

3. f = 40 Hz

4. f = 400 Hz

5. f = 300 Hz

6. λ = 0.772 m

7. λ = 0.386 m

8. λ = 0.625 m

9. v = 100 m/s

10. v = 50 m/s

Explanation:

The relationship between frequency, wavelength, and speed of a wave is given by the following formula:

\(v = f\lambda\)

where,

v = speed of wave

f = frequency of wave

λ = wavelength

1.

f = 100 Hz

λ = 0.3 m

Therefore,

v = (100 Hz)(0.3 m)

v = 30 m/s

2.

f = 50 Hz

λ = 0.1 m

v = (50 Hz)(0.1 m)

v = 5 m/s

3.

v = 20 m/s

λ = 0.5 m

\(f = \frac{v}{\lambda} = \frac{20\ m/s}{0.5\ m}\)

f = 40 Hz

4.

v = 80 m/s

λ = 0.2 m

\(f = \frac{v}{\lambda}=\frac{80\ m/s}{0.2\ m}\)

f = 400 Hz

5.

v = 120 m/s

λ = 0.4 m

\(f = \frac{v}{\lambda}=\frac{120\ m/s}{0.4\ m}\)

f = 300 Hz

6.

v = 340 m/s

f = 440 Hz

\(\lambda = \frac{v}{f}=\frac{340\ m/s}{440\ Hz}\\\)

λ = 0.772 m

7.

v = 340 m/s

f = 880 Hz

\(\lambda = \frac{v}{f}=\frac{340\ m/s}{880\ Hz}\\\)

λ = 0.386 m

8.

v = 250 m/s

f = 400 Hz

\(\lambda = \frac{v}{f}=\frac{250\ m/s}{400\ Hz}\\\)

λ = 0.625 m

9.

f = 50 Hz

λ = 2 m

v = (50 Hz)(2 m)

v = 100 m/s

10.

f = 100 Hz

λ = 0.5 m

v = (100 Hz)(0.5 m)

v = 50 m/s

Answer:

it B

Explanation:

I KNOW IT

rank in order, from largest to smallest, the potential energies uaua to udud of these four pairs of charges. each symbol represents the same amount of charge.

Answers

Therefore, to rank the potential energies from largest to smallest, we need to rank the distances from smallest to largest: d1, d2, d3, d4.

The potential energy between two charges depends on their magnitudes and the distance between them.

When charges have the same magnitude, the potential energy between them is directly proportional to the square of the distance between them.
To rank the potential energies from largest to smallest, we need to consider the distances between the charges.

Let's label the pairs of charges as (a, b), (c, d), (e, f), and (g, h). Since each symbol represents the same amount of charge, we can assume that the magnitudes of the charges are equal in each pair.

Now, let's compare the distances between the charges:

- Pair (a, b): Let's say the distance between a and b is d1.
- Pair (c, d): Let's say the distance between c and d is d2.
- Pair (e, f): Let's say the distance between e and f is d3.
- Pair (g, h): Let's say the distance between g and h is d4.

The potential energy between charges decreases as the distance between them increases. So, the potential energy is highest for the pair with the smallest distance and lowest for the pair with the largest distance.

Therefore, to rank the potential energies from largest to smallest, we need to rank the distances from smallest to largest: d1, d2, d3, d4.

After ordering the distances, we can conclude that the potential energies will be ordered accordingly. So, the largest potential energy corresponds to the pair with the smallest distance, and the smallest potential energy corresponds to the pair with the largest distance.

Please note that the specific values of the distances are not given, so we cannot provide an exact ranking. However, with the given information, you can conclude that the potential energy will be largest for the pair with the smallest distance and smallest for the pair with the largest distance.

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Two loudspeakers (A and B) are 3.20m apart and emitting a sound with a frequency of 400Hz. An observer is 2.10m directly in front of A. If the speed of sound in this room is 340m/s will the observer hear a loud sound or a quiet sound?

Answers

Answer:

The observer hears a loud sound

Explanation:

In order to know if the observer hears a loud or a quiet sound, you need to know if there is a constructive or destructive interference between the sound waves of the loudspeakers.

You first calculate the distance between the observer and the loudspeakers.

The distances are given by:

d1: distance to loudspeaker A = 2.10m

d2: distance to loudspeaker B

\(d_2=\sqrt{(3.20m)^2+(2.10m)^2}=3.827m\)

Next, you calculate the wavelength of the sound waves by using the following formula:

\(\lambda=\frac{v_s}{f}\)

vs: speed of sound =  343 m/s

f: frequency of the waves = 400Hz

λ: wavelength

\(\lambda=\frac{343m/s}{400Hz}=0.8575m\)

Next, you calculate the path difference between the distance from the observer to the loudspeakers:

\(\Delta d=3.827m-2.10m=1.727m\)

You obtain a constructive interference (loud sound) if the quotient between the wavelength of the sound and the difference path is an integer:

\(\frac{\Delta d}{\lambda}=\frac{1.727m}{0.857}\approx2\)

Then, there will be a constructive interference, and the sound who the observer hears is loud.

A spherical shell of mass and radius is completely filled with a frictionless fluid, also of mass It is released from rest, and then it rolls without slipping down an incline that makes an angle with the horizontal. What will be the acceleration of the shell down the incline just after it is released

Answers

When a spherical shell completely filled with a frictionless fluid is released from rest and rolls without slipping down an incline, the acceleration of the shell can be determined by considering the forces.

The acceleration of the shell down the incline can be found by considering the net force acting on it. The forces involved include the gravitational force and the force due to the fluid. The gravitational force can be decomposed into two components: one parallel to the incline (mg sinθ) and one perpendicular to the incline (mg cosθ), where m is the total mass of the shell and fluid, and θ is the angle of the incline.

The force due to the fluid exerts a torque on the shell, causing it to roll without slipping. This force depends on the mass of the fluid and the radius of the shell. The net force can be calculated by subtracting the force due to the fluid from the gravitational force component parallel to the incline: Fnet = mg sinθ - (2/5)mr^2 α, where r is the radius of the shell, and α is the angular acceleration.

Since the shell rolls without slipping, the relationship between linear and angular acceleration is given by α = a/r, where a is the linear acceleration of the shell. By substituting α = a/r into the net force equation, we can solve for the acceleration: a = (5/7)g sinθ.

Therefore, the acceleration of the shell down the incline just after it is released is given by a = (5/7)g sinθ, where g is the acceleration due to gravity and θ is the angle of the incline.

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Imagine that you drop a shot put from a tower on the moon. How much
will the drop time change if the shot put is dropped from a tower on the
earth that is four times as high as the tower used on the moon? The
acceleration of gravity on earth is about 6 times the acceleration due to
gravity on the moon. An equation that may be of interest is found in the
image below.
y = yo + Vyot + ayt?

Answers

Answer: y = yo + Vyot + ayt = =2ay y− yo . 5. vy. 2. −voy. 2. =−2 g y− yo

Explanation: since both the displacement and acceleration are negative, they cancel each other when divided, so the result is positive. ... As you can see, as the height displacement (height) increases, the longer it takes for the robocopter to fall.  

Is the substance above an element, compound or mixture?

Is the substance above an element, compound or mixture?

Answers

Answer:

If it is pure, the substance is either an element or a compound. If a substance can be separated into its elements, it is a compound. If a substance is not chemically pure, it is either a heterogeneous mixture or a homogeneous mixture. If its composition is uniform throughout, it is a homogeneous mixture.

Explanation:

how can the big bang still be visible? in what form has it been detected?

Answers

The Big Bang is still visible today due to the Cosmic Microwave Background (CMB) radiation, which is a form of electromagnetic radiation left over from the Big Bang.

This radiation was detected in the 1960s by two American astronomers, Arno Penzias and Robert Wilson. Due to its low intensity, the CMB was only detectable with the help of very sensitive radio telescopes.

The CMB radiation has an extremely uniform temperature of about 2.7 degrees above absolute zero, and it has a slight variations in temperature across the sky, which provides evidence of the Big Bang.

These variations are thought to be the seeds of the galaxies and other cosmic structures that form the universe today.

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The next closest star to Earth, Proxima Centuri, is 4.25 lightyears away. How far is that in meters?

Answers

Answer:

4.0208 x 10^16 meters

Explanation:

speed of light in m/s   *      # seconds in a year      * 4.25 years =

2.99792 x 10^8   *        3600*24*365.25  *     4.25 = 4.0208 x 10^16 m

Wave a carries more energy than wave b has a smaller ____than with a

Answers

Wave a carries more energy than wave b. Wave b has a smaller amplitude than wave a.

Those waves carry an amount of energy that can be measured. The energy in a wave is determined by two variables. One is amplitude, which is the distance from the rest position of a wave to the top or bottom. Large amplitude waves contain more energy. Wave A has greater intensity and transfers more energy. Wave B has greater intensity and transfers more energy. Waves that require matter to transfer energy are mechanical waves. The matter through which a mechanical wave travels is called a medium. A mechanical wave travels as energy is transferred from particle to particle in the medium. There are two kinds of mechanical waves. The greater the amplitude of the wave the greater the wave's energy. ... A wavelength will travel only as long as it has the energy to carry. Gamma rays

Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation. Electromagnetic waves cause oscillations in electrical and magnetic fields. It is important to remember that all waves transfer energy but they do not transfer matter. For example, if a ball is placed on the surface of a pond when ripples move across it, the ball will move up and down but not outwards with the wave.

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If a stream drops 45 meters in 15 kilometers, what is its gradient? a) 333.3
meters per kilometer b) 0.33 meters per kilometer c) 3 meters per kilometer d) 0.003 meters per kilometer

Answers

To calculate the gradient of the stream, we need to determine the change in elevation per unit of horizontal distance.

In this case, the stream drops 45 meters over a horizontal distance of 15 kilometers. To find the gradient, we divide the vertical drop (45 meters) by the horizontal distance (15 kilometers). However, to ensure consistent units, we convert the 15 kilometers to meters by multiplying it by 1,000 (since there are 1,000 meters in a kilometer).

So, the calculation becomes:

Gradient = Vertical drop / Horizontal distance

        = 45 meters / (15,000 meters)

        = 0.003 meters per meter

This means that for every meter of horizontal distance, the stream drops by 0.003 meters vertically. Simplifying the expression, we can also express it as 3 millimeters (mm) per meter.

Therefore, the correct answer is d) 0.003 meters per kilometer.

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Two long straight parallel lines, #1 and #2, carry uniform positive linear charge densities. The charge density on line #2 is twice as great as the charge density on line #1. The locus of points where the electric field due to these lines is zero is


along a line between the lines closer to line #2 than line #1.


at a point midway between the lines.


along a line between the lines closer to line #1 than line #2.


along a line perpendicular to lines #1 and #2.

Answers

Answer:

The locus of points where the electric field due to these lines is zero is;

Along the line between the lines closer to line#1 than line #2

Explanation:

The charges on the parallel lines #1 and #2 = Positive linear charge

The charge density on line #2, λ₂ = 2 × The charge density on line #1, λ₁

Therefore, we have;

λ₂ = 2 ×  λ₁

Electric field strength, E, is given as follows;

\(E = \dfrac{\lambda}{2\cdot \pi\cdot \epsilon_0\cdot d}\)

Therefore;

\(E_1 = \dfrac{\lambda_1}{2\cdot \pi\cdot \epsilon_0\cdot d}\)

\(E_2 = \dfrac{\lambda_2}{2\cdot \pi\cdot \epsilon_0\cdot d} = 2 \times\dfrac{\lambda_1}{2\cdot \pi\cdot \epsilon_0\cdot d}\)

E₂ = 2·E₁

E₂/2 = E₁

E₂/(2·d) = E₁/d

The strength of the electric field at a given distance from line #2 is 2 times the strength of the electric field from line #1 at the same distance

Therefore the strength of the electric field will be the same at a point twice the distance from line #2 than from line #1 which is a point closer to line #1 than line #2.

If the screen was 30 cm behind the fish, what was the distance spanned by the diffraction spot as it moved back and forth? The screen was in the tank with the fish, so that the entire path of the laser was in water and tissue with an index of refraction close to that of water. The properties of the diffraction pattern were thus determined by the wavelength in water.

Express your answer with the appropriate units

Answers

To determine the distance spanned by the diffraction spot, we need to consider the properties of the diffraction pattern and the given information.

Given:

- The screen is 30 cm behind the fish.

- The entire path of the laser, including the water and tissue, has an index of refraction close to that of water.

- The properties of the diffraction pattern are determined by the wavelength in water.

Since the diffraction pattern is formed by the interaction of light waves with obstacles or apertures, the spot's size or spread depends on factors such as the wavelength of light and the size of the aperture.

Without specific information about the wavelength or aperture size, it is not possible to determine the exact distance spanned by the diffraction spot. Additional details regarding the specific setup or measurements would be necessary to calculate or estimate the distance spanned by the diffraction spot.

Please provide further information or clarify the parameters related to the diffraction setup if you require a more specific answer.

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If you pushed a car 25 m and did 60 kJ of work, how much
force did you use?

Answers

Given the amount of work done in pushing the car over the given distance, the amount of force applied is 2400 Newtons.

What is work done?

Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;

W = F × d

Where f is force applied and d is distance travelled.

Given that;

Work done W = 60kJ = (60×1000)J = 60000J = 60000kgm²/s²Distance covered d = 25mForce applied F = ?

W = F × d

60000kgm²/s² = F × 25m

F = 60000kgm²/s² ÷ 25m

F = 2400kgm/s²

F = 2400N

Given the amount of work done in pushing the car over the given distance, the amount of force applied is 2400 Newtons.

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7. 13 a turbine receives steam at 6 mpa, 600°c with an exit pressure of 600 kpa. Assume the turbine is adiabatic and neglect kinetic energies. Find the exit temperature and the specific work

Answers

The work done by the turbine will be 708.2 kJ/kg. The work done by the turbine is the difference of the enthalpy at inlet and exit.

What is temperature?

Temperature directs the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles, more the temperature.

If the given turbine is assumed to be reversible;

\(\rm P_I\)(Initial pressure)=60 mpa = 60 bar

\(\rm T_i\)(Initial temperature)=600° C

\(\rm P_e\) (Exit pressure)=600 kpa=6 bar

The heat balance equation is;

\(\rm q-W_t=h_e-h_i\\\\ q=0\\\\\ W_t=h_i-h_e\)

The change in the entropy is;

\(\rm S_2-S_1=\frac{\delta q}{dt}\)

The work done by the turbine is;

\(\rm W_t = h_i-h_e\\\\ W_t =3658.4 -29.5019\\\\ W_t =708.2 \ kJ/kg\)

Hence,the work done by the turbine will be 708.2 kJ/kg.

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Answer: T₂ ≈ 246.7 °C, Wout ≈ 708.2 kJ/kg

Explanation:

The "expert verified answer" is blatantly incorrect and incomplete, I have no idea how Brainly keeps getting away with this.

I am assuming this is a reversible adiabatic system, s₂=s₁.

Looking up s₁ in thermodynamic table B.1.2 at 6Mpa & 600°C:

s₂=s₁=7.1676

We'll use the NKEPE turbine equation:

Wout = h₁-h₂

For this equation we'll need h₁ from the same table:

h₁=3658.4

Using the same table at 600kPa, interpolate T₂ using the value of s we previously determined:

T₂= 246.7 °C

Using the same table at 600kPa, interpolate h₂ using either T₂ or s₂:

h₂≈2950.1931

Back to the aforementioned equation:

Wout = h₁-h₂

Wout ≈ 3658.4-2950.1931

Wout ≈ 708.2 kJ/kg

A 750 kg roller coaster car drops from rest at a height of 90 m along a frictionless track. What is velocity of the roller coaster at the top of a second hill that is 60 m high? Show work

Answers

The velocity of the roller coaster at the top of the second hill is 24.25 m/s.


What is velocity?

Velocity is the rate of change of displacement. The s.i unit is m/s

To calculate the velocity of the coaster car, we use the formula below.

Formula:

mg(H-h) = mv²/2............... Equation 1

Where:

m = mass of the coaster carH = Height of droph = Height of the second hillv = velocity of the roller coaster.

From the question,

Given:

m = 750 kgH = 90 mh = 60 mg = constant = 9.8 m/s²

Substitute these values into equation 1

750(9.8)(90-60) = 750(v²)/2

Solve for v

375v² = 220500v² = 220500/375v² = 588v = √588v = 24.25 m/s

Hence, The velocity of the roller coaster at the top of the second hill is 24.25 m/s.

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A bar, 22 mm times 30 mm in cross-section, is loaded axially in tension with F_min = -4 kN and F_max = 12 kN. A 10 mm hole passes through the center of the 30 mm side. The steel has S_Ut = 500 MPa and S_y = 350 MPa. What are the notch sensitivity and fatigue stress concentration factors for this bar? What are the mean and alternating stresses? Find the fatigue strength for 100 cycles 10,000 cycles 100,000 cycles 1,000,000 cycles Infinite life

Answers

The notch sensitivity and fatigue stress concentration factors for the bar are calculated to determine the mean and alternating stresses and find the fatigue strength for different cycles.

What are the factors influencing the fatigue strength and stress concentration in the given bar?

To calculate the notch sensitivity and fatigue stress concentration factors, we need to consider the presence of the 10 mm hole in the center of the 30 mm side of the bar. The notch sensitivity factor quantifies the effect of the hole on the stress concentration, while the fatigue stress concentration factor determines the increase in stress due to cyclic loading.

The mean stress (σm) is the average of the minimum (F_min) and maximum (F_max) axial loads applied to the bar. The alternating stress (σa) is half the difference between F_max and F_min.

The fatigue strength for a certain number of cycles is determined by applying the appropriate factors to the ultimate tensile strength (S_Ut) or yield strength (S_y) of the material. The fatigue strength is typically given for a specified number of cycles, such as 100, 10,000, 100,000, or 1,000,000 cycles. The fatigue strength for infinite life refers to the stress level below which the material can withstand an unlimited number of cycles without failure.

To provide accurate values for the notch sensitivity, fatigue stress concentration factors, mean and alternating stresses, and fatigue strength for the specified number of cycles, further calculations and data specific to the material properties and geometry of the bar are required.

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According to the Theory of Continental Drift, South America and Africa once formed part of a single larger continent called Pangaea that eventually broke apart. Today, the average distance between matching shorelines of South America and Africa is about 8000 km. Measurements indicate that the continents are drifting apart at a speed of about 4.0 cm/year. a. According to these measurements, how long ago did these continents separate? b. What assumptions did you make in order to answer (a)?​

Answers

According to the Theory of Continental Drift, we can predict that:

a. These continents separate for an average of 200000000 years b. The assumption made is that the current distance is 8000 km which is 800000000 cm.

Meaning of Continental Drift

Continental Drift can be defined as a hypothesis that was put forth, that the Earth's continents have moved over  time relative to each other and as the time goes its keeps on moving, increasing the distance between them.

Continental Drift makes the continents look like they have drifted across the ocean.

In conclusion, Our predictions are stated above.

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How much work is done on a box that is pushed 9 meters across a horizontal floor by a force of 3000N?

Answers

The amount of work done by a box that is pushed 9 meters across a horizontal floor by a force of 3000N is 27000J.

How to calculate work?

Work in physics refers to the measure of energy expended in moving an object; most commonly, force times distance.

It is said that no work is done if the object does not move. The work done on an object can be calculated by multiplying the force of the object by its distance as follows:

W = F × d

W = 3000N × 9m

Work done = 27,000J

Therefore, 27,000Joules is the work done on the box.

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despite the fact that mercury has stronger intermolecular forces than water, water rises up in a glass tube while mercury moves down. why?

Answers

Despite the fact that mercury has stronger intermolecular forces than water, water rises up in a glass tube while mercury moves down because of the cohesive and adhesive forces between the liquid and the glass. Water has a stronger adhesive force with glass than mercury does, which means that the water molecules are more attracted to the glass than to each other or to the mercury molecules. This causes the water to rise up in the glass tube, forming a meniscus at the top. Conversely, mercury has a weaker adhesive force with glass than water does, which means that the mercury molecules are more attracted to each other than to the glass. This causes the mercury to move down in the glass tube, forming a concave meniscus at the top.

A child bouncing a ball. Which law of motion does the situation describe?​

Answers

Kinetic energy evades the ball jumping higher than the kid

A car with a mass of 1,200 kg travels a distance of 150 m as it moves from
one stoplight to the next. At its fastest, the car travels at 22 m/s. What is its
kinetic energy at this point?
A. 290,400
B. 8,872 J
C. 580,800 J
D. 13,200 J

Answers

Answer:

A. 290,400

Explanation:

The kinetic energy of a car is 290,400J.

How to find Kinetic energy?

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2.

ke = 1/2mv^2

By using the formula, we get

= 1/2 * 1200 * 22^2

= 600 * 484

= 290,400 J

Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.

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7. If the magnitude of the gravitational force of
Earth on the Moon is F, the magnitude of the
gravitational force of the Moon on Earth is
>
9
(1) smaller than F
(2) larger than F
(3) equal to F
7

Answers

Newton's Third Law states that for every action there is an opposite and equal reaction:

If the gravitational force of the Earth on the Moon is F then the gravitational force of the Moon on the Earth is also F

If the magnitude of the gravitational force of Earth on the Moon is F, the magnitude of the gravitational force of the Moon on Earth is equal to F. The correct option is 3.

What is gravitational force?

Gravity, also known as gravitational force, pulls objects with mass toward each other. We frequently consider the force of gravity from Earth.

This force is responsible for keeping your body on the ground. Any object with mass, on the other hand, exerts a gravitational force on all other objects with mass.

The magnitude of the Moon's gravitational force on Earth is calculated using Newton's third law of motion.

Newton's third law of motion states that there is an equal and opposite reaction to every action. That is, the Earth's force on the moon is equal to the moon's force on Earth, but in the opposite direction.

Thus, the correct option is 3.

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