A 10-N force is applied horizontally on a box to move it 10 m across a frictionless surface. How much work was done to move the box?

a) Speed: It is the ratio of distance covered and time interval to cover that distance

it is given as [tex]speed = \frac{distance}{time}[/tex]

b) Direction: it will define for vector quantities and shows the required direction for it

c) Velocity : It is rate of change in position or it is ratio of displacement and time

d) Vector : it is a type of physical quantity which will be defined by magnitude and direction both

e) Position : it is defined as the distance with respect to a given reference or origin

f) Acceleration : it is defined by rate of change in velocity.

[tex]a = \frac{v_f - v_i}{\Delta t}[/tex]

g) Force = it is push or pull on an object which will create acceleration to the object

F = ma

it is product of mass and acceleration

h) Newton : it is SI unit of force or we measure force in this unit

Thrust force due to ejection of water on the cart is counter balanced by spring force on the cart

so we can write

[tex]F_t = v \frac{dm}{dt}[/tex]

here we have

[tex]\frac{dm}{dt}[/tex] = rate of mass ejection

[tex]\frac{dm}{dt} = \rho a\frac{dx}{dt} = \rho a v[/tex]

now from above formula

[tex]F_t = \rho a v(v) = \rho av^2[/tex]

Now by force balance equation

[tex]F_t = F_s[/tex]

[tex]\rho a v^2 = kx[/tex]

by rearranging the terms now

[tex]v= \sqrt{\frac{kx}{\rho a}}[/tex]

Two forces pull on an object at the same time. Their resultant force is least when the angle between the forces is 180°.

Answer: Option D

Explanation:

When two forces are acting on an object, two possibilities are there.

(i) Forces acting on the same direction.

(ii) Forces acting o the opposite direction.

When two forces are acting on the same direction, their resultant force will be maximum, but when they are acting on the opposite direction, minimum resultant force will be the outcome (i.e) they are 180 degrees apart.

Answer:

5.7 m/s^2

Explanation:

First of all, we need to calculate the resultant force on the crate. We have:

- A force of +210 N in the positive direction

- The frictional force of -74 N in the opposite direction

So, the resultant force is

F = 210 N - 74 N= 136 N

So now we can apply Newton's second law to find the acceleration:

[tex]F=ma[/tex]

where m=24 kg is the mass of the crate. Re-arranging the equation, we get:

[tex]a=\frac{F}{m}=\frac{136 N}{24 kg}=5.7 m/s^2[/tex]

The root-mean-square (rms) speed of nitrogen molecules in a given volume and pressure can be calculated using the formula V_rms = sqrt(3kBT/m), where V_rms is the rms speed, T is the temperature in kelvin, k is the Boltzmann constant, and m is the mass of a nitrogen molecule. To solve this problem, we first need to find the temperature using the ideal gas law equation PV = nRT. Once we have the temperature, we can substitute it into the rms speed equation to find the final answer in m/s.

The root-mean-square (rms) speed of nitrogen molecules in a given volume and pressure can be calculated using the formula:

Vrms = √( 3kBT/m ), where Vrms is the rms speed, T is the temperature in kelvin, k is the Boltzmann constant (1.38 × 10-23 J/K), and m is the mass of a nitrogen molecule.

In this case, we are given the volume (8.5 m3), pressure (3.5 atm), and total amount of nitrogen (1900 mol). To find the temperature, we need to use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant (0.0821 atm·L/mol·K), and T is the temperature.

Using the ideal gas law, we can solve for T:

T = PV/(nR)

Substituting the given values, T = (3.5 atm × 8.5 m3)/(1900 mol × 0.0821 atm·L/mol·K) = 16.573 K

Now we can calculate the rms speed:

Vrms = √( 3 × 1.38 × 10-23 J/K × 16.573 K / (28.0067 × 10-3 kg/mol) )

Calculating this expression will give us the rms speed of the nitrogen molecules in m/s.

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The rms speed of nitrogen molecules can be calculated using Boltzmann's constant, nitrogen's molar mass, and the given temperature in Kelvin. By substituting these values into the formula, we can compute the nitrogen molecules' speed.

The rms speed (root mean square speed) of nitrogen molecules can be calculated using the formula:

Vrms = sqrt(3kT/m')

where k stands for Boltzmann's constant, T is the temperature in Kelvin, and m' represents the molar mass of nitrogen (N₂) molecule. According to the periodic table, the molar mass of nitrogen N₂ is 2(14.0067)x10-3 kg/mol. Plugging in the values and doing the calculation should give you the rms speed of the nitrogen molecules.

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according to newton's second law , net force on an object is the product of mass of the object and the acceleration of the object. the formula is given as

F = ma               where F = net force , m = mass and a = acceleration

so acceleration can be given as

a = F/m

for same net force , the acceleration depends on the mass of the object .

greater the mass , smaller will be the acceleration and vice versa.

Since the mass of electron is smaller as compared to the mass of proton, hence the electron will accelerate more as compared to proton.

A) The electron will accelerate more than the proton

A) the electron will accelerate more than the proton.

If the net force is greater than one, SOOO Newton’s second law of motion, an object will accelerate. The mass is inversely proportional to the acceleration. The lower the mass, the faster the acceleration,

hope this helps! :)

g≈10 m/s²

F=G=mg=65*10=650 N

L=F*h=650*7=4550 J

P=L/t=>t=L/P=4550/300=15.16 s

Answer:

B) The final acceleration will triple between the first and third trial.

Explanation:

From the relationship (acceleration) = (force) / (mass) it follows that the acceleration is directly proportional to the force applied. During the second experiment the acceleration will double (as force doubles), and during the third it will be tripled compared to the first.

D. Atoms.

Explanation:

All the matter is made of elementary particles called "atoms".

Further, an atom is made of electrons, protons and neutrons. The electrons & protons are again made of the fundamental sub-particles, electrons (leptons) and the protons(quarks).

The classification of particles is shown in the figure attached

D. Atoms.

Because different kinds of atom have different number of protons, neutrons, and electrons.

Sometimes, because acceleration due to gravity on Earth depends on how close you are to the Earth's center.

Answer:

A. 1560 Hz

Explanation:

The Doppler effect occur when a source of a wave (like sound) is moving relative to an observer (or when the observer is moving relative to the source). When this happens, the apparent frequency of the sound as heard by the observer is shifted with respect to the real frequency, according to the formula:

[tex]f'=\frac{v}{v-v_s}f[/tex]

where

f' is the apparent frequency

v is the speed of the wave

vs is the velocity of the source relative to the observer (positive if the source is moving towards the observer, negative if it is moving away from the observer)

f is the real frequency of the wave

In this problem, we have the following data:

f = 1100 Hz is the original frequency of the sound

v = 340 m/s is the speed of the sound wave

[tex]v_s = 100 m/s[/tex] is the velocity of the car approaching the pit crew

Substituting these numbers into the formula, we can find the frequency heard by the pit crew:

[tex]f'=\frac{340 m/s}{340 m/s-100 m/s}(1100 Hz)=1558 Hz \sim 1560 Hz[/tex]

Answer:  option A. 1560 Hz

Explanation:

Doppler effect is the phenomenon wherein the frequency of the source of the sound is different from what is received. This happens when either of the source or observer or both are relatively in motion.

In the given question, the observer is stationary and the source of sound is moving at the speed of [tex]v_s = 100 m/s[/tex] towards the observer. The frequency of the sound emitted is [tex]f_s = 1100 Hz[/tex]. The frequency heard by the pit crew member would be given by:

[tex]f_o = \frac{V}{V-v_s}f_s[/tex]

[tex]f_o = \frac{340 m/s}{340m/s - 100 m/s}\times 1100 Hz = 1558.3 Hz = 1560 Hz (approx)[/tex]

Thus, the frequency heard by the pit crew would be 1560 Hz. Correct option is A.

Answer:

B. Spring

Explanation:

The waters of a lake will be the most layered in the spring because of the melting of the ice (which is just frozen water) and the direct heat going into the lake causing the warm water to rise up and the colder water to move further down, which creates even more layers.

Horizontal component of force is used to find out the work done

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

so we can say the work done as

[tex]W = (Fcos\theta)d[/tex]

so here the vertical component of force is not used to find out the work done

so here it would be

[tex]F_y = Fsin\theta[/tex]

[tex]F_y = 245sin55[/tex]

[tex]F_y = 200.7 N[/tex]

so 200.7 N is not used to find out work done

-4.73 m/s²

Each jumper represents about 1/2 of 1% of the mass of the train, so together they total about 3.5% of the mass of the train. If the mass decreases by 3.5% and the braking force remains the same, the acceleration (magnitude) will increase by about 3.5%.

The acceleration will be about 0.17 m/s² more (in magnitude) than it was, or about -4.73 m/s².

transparent --> translucent --> opaque

A. Is the correct answer

Answer:

A is the correct answer :)))

Explanation:

Answer: 23 electrons.

Explanation: an atom have equal number of protons and electrons.

Answer:

12.3 years

Explanation:

The equation of the radioactive decay can be written as follows:

[tex]\frac{N(t)}{N_0}=(\frac{1}{2})^{\frac{t}{\tau_{1/2}}}[/tex] (1)

where

N(t) is the amount of radioactive sample left at time t

N0 is the amount of radioactive sample at time t=0

t is the time passed

[tex]\tau_{1/2}[/tex] is the half-life of the isotope

The problem tells us that after t=36.9 y, the amount of sample which has become stable is 7/8. This means that 7/8 of the sample has already decayed, so the amount of radioactive sample left is

[tex]\frac{N(t)}{N_0}=1-\frac{7}{8}=\frac{1}{8}[/tex]

We can now re-arrange equation (1) by using this information and by substituting t=36.9 y we find:

[tex]\frac{t}{\tau_{1/2}}=log_{1/2} (\frac{N(t))}{N_0})\\\tau_{1/2}=\frac{t}{log_{1/2}(\frac{N(t)}{N_0})}=\frac{36.9 y}{log_{1/2}(1/8)}=\frac{36.9 y}{3}=12.3 y[/tex]

So, the answer is

12.3 years

Answer:

A. 12.3 years

Explanation:

Answer:

 Option B is the correct answer.

Explanation:

 We have expression for sound intensity level,

                  [tex]L=10log_{10}\frac{I}{I_0}[/tex], where I is the intensity.

Here new intensity is given by 4I.

So, increase in  sound intensity level

        [tex]\delta L=10log_{10}\frac{4I}{I_0}-10log_{10}\frac{I}{I_0}=10log_{10}\frac{4I}{I}=6dB[/tex]

So, option B is the correct answer.

The height of the cliff from which the ball was dropped from is 224.4m.

Given the data in the question;

To get the height of the Cliff, we use the Second Equation of Motion:

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

Where s is the distance or height, [tex]u[/tex] is the initial velocity, t is the time and a is the acceleration. Since the ball was thrown down from a certain height (cliff), its is now under the influence of gravity. acceleration due to gravity; [tex]g = 9.8m/s^2[/tex]

Hence, the equation becomes

[tex]s = ut + \frac{1}{2}gt^2[/tex]

We substitute the given values into the equation

[tex]s = ( 8m/s\ *\ 6s) + (\frac{1}{2}\ *\ 9.8m/s^2\ *\ (6s)^2)\\\\ s = ( 48m ) + (4.9m/s^2\ *\ 36s^2)\\\\ s = ( 48m ) + (4176.4m)\\\\ s = 224.4m[/tex]

Therefore, the height of the cliff from which the ball was dropped from is 224.4m

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refraction is the right answer

Answer: Refraction.

Explanation: The lenses are used to "transmit" the light that hits the lens in a certain way.

The phenomena in which the light penetrates a medium (where the medium, in this case, is the lens) is called diffraction.

Reflection would be more related to mirrors, difraction is the change of the velocity of the light waves when they are in different mediums, and interference refers to the interaction between two coherent waves (it can be destructive interference, where the waves cancel each other, or constructive interference, where the waves add to each other)

The answer is B.one plate slides beneath another due to gravitational pull.

Answer:

Its B

Explanation:

took the test 2020

1. The magnitude of the magnetic field doubles

Explanation: the intensity of the magnetic field produced by a current-carrying wire is given by:

[tex]I=\frac{\mu_0 I}{2 \pi r}[/tex]

where [tex]\mu_0[/tex] is the vacuum permeability, I is the current in the wire, r is the distance from the wire.

As we see from the formula, the intensity of the magnetic field is directly proportional to the current: if the current increases from 5 A to 10 A, it means it doubles, so the magnetic field doubles as well.

2. The magnitude of the magnetic field halves

Explanation: the intensity of the magnetic field produced by a current-carrying wire is given by:

[tex]I=\frac{\mu_0 I}{2 \pi r}[/tex]

We see that the magnitude of the magnetic field is inversely proportional to the distance from the wire (r). In this case, the distance of the particle is changed from 10 cm to 20 cm, so it is doubled: therefore, the magnitude of the field will become half of the initial value.

3. The force reverses direction

Explanation: the force exerted on a charged particle in a magnetic field is:

[tex]F=qvB sin \theta[/tex]

where q is the charge, v is the speed of the particle, B is the magnetic field intensity and [tex]\theta[/tex] the angle between the direction of v and B. If the charge of the particle is switched from 2 µC to –2µC, the magnitude of the force does not change (because the absolute value of q does not change), however the charge q gets a negative sign (-), so the sign of the force changes and gets a negative sign too, so the force reverses direction.

(a) When the current increases from 5 A to 10 A, the strength of the magnetic field increases.

(b) When the distance  from the wire increases, the strength of the magnetic field decreases.

(c) When the sign of the charge changes and the magnitude is the same, the strength of the magnetic force will remain the same.

The magnetic field due to a distance from a wire is given as follows;

[tex]B = \frac{\mu_o I}{2\pi r}[/tex]

where;

Thus, when the current increases from 5 A to 10 A, the strength of the magnetic field increases.

Also, when the distance  from the wire increases, the strength of the magnetic field decreases.

The magnetic force on a charged particle moving in a magnetic field is given as;

F = qvB

where;

The magnetic force considers the magnitude of the charge, thus when the sign of the charge changes and the magnitude is the same, the strength of the magnetic force will remain the same.

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False

If the object weighs more than the buoyant force then the object will sink.

This is because the buoyant force "pushes" the object upwards and the weight of the object "pushes" the object downwards.  Since the force downwards is greater than the force upwards the item will sink, so this statement is False.

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4 times the mass of Earth . . . multiplies Earth gravity by 4

1/2 of Earth's radius . . . multiplies Earth's gravity by 4

both changes . . . multiplies Earth gravity by (4 x 4) = 16

The acceleration of gravity on the surface of Planet-X is 16 TIMES that on the Earth's surface ... about 6.3 times what it is on Jupiter.

You could not walk around on Planet-X, and it's pretty likely that whatever contraption you landed in could not take off again.  You're stuck on Planet-X, living out the short remainder of your life just laying there like a heavy pancake and using all of your strength just trying to breathe.  It won't be pretty.

D. because Isotopes will have the same atomic number because they are the same element but have a different atomic mass because they contain a different number of neutrons.

Isotopes of the same element differ in the number of neutrons they contain, which leads to different atomic weights but doesn't change the chemical properties of the element.

Isotopes are variations of a particular chemical element, which means they will always have the same number of protons and the same atomic number. However, isotopes of the same element differ in their number of neutrons. This can lead to different physical properties, such as mass, but the chemical properties remain largely unaffected because chemical behavior is determined by the number of electrons, which remains constant in isotopes of the same element. For example, Carbon-12 (12C) and Carbon-14 (14C), are both isotopes of Carbon where the number refers to the atomic weight, which changes due to the different numbers of neutrons.

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When oxygen reacts with sodium, the electrons move from the sodium atoms to the oxygen atoms which is denoted as option B.

This is referred to as electrovalent bonding and usually occurs between a metal and non metal.

The metal in this scenario is Sodium which loses electron to the non metal which is oxygen to become positively charged.

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Answer:

[tex]2Mg + O_2 \rightarrow 2MgO + heat[/tex] (2 atoms on the product side)

Explanation:

Due to the law of conservation of mass, in every chemical reaction the number of atoms of each element on the reactant side must be equal to the number of atoms of the same element on the product side.

In this case, on the product side we have magnesium (which has two valence electrons) and oxygen (which has two vacancies in its outer shell). This means that they combine in a ratio 1:1, so the product of the reaction is

[tex]MgO[/tex]

However, we must put a coefficient 2 in front of it in order to balance the number of atoms of each element: in fact, on the reactant side we have 2 atoms of magnesium and 2 of oxygen, so we must have two atoms of magnesium and 2 of oxygen on the product side as well. Therefore, the complete reaction is

[tex]2Mg + O_2 \rightarrow 2MgO + heat[/tex]

Answer

40 degrees

Explanation

When waves hit a surface they get reflected. The law of reflection states that the angle of incidence is equal to the angle of reflection. In this case, the law of reflection tells us that if the angle of incidence is 40 degrees, the angle of reflection is 40 degrees.

The answer is periosteum. Hope this helps!

The periosteum is the thin, dense membrane that covers the outer layer of bones, providing nourishment and playing a key role in bone growth, repair, and remodeling, excluding areas where bones form joints.

The thin, dense membrane that covers the outer layer surface of the bone is called the periosteum. This membrane is vitally important as it contains blood vessels, nerves, and lymphatic vessels that nourish the compact bone beneath it. Notably, the periosteum connects to the bone with strong collagen fibers known as Sharpey's fibers, which are integral in the attachment of tendons and ligaments. Although it covers most of the bone's surface, the periosteum does not cover the areas where bones form joints; these areas are protected by a different type of tissue. The function of the periosteum is not only protective; it also plays a crucial role in bone growth, repair, and remodeling due to its layer of bone-forming cells.

No, temperature change in the Earth's atmosphere is related to the distance from the sun, and temperature generally decreases altitude.

Answer:

This is true for some layers of the Earth's atmosphere.

Explanation:

As a counterexample: in the lowest layer of the atmosphere, with the highest density of gases, aka the Troposphere, the temperature decreases with increasing altitude. This relates to the sun heating up the surface some of which radiates back into the Troposphere.

However, the  temperature increases with altitude in the Stratosphere (effect of ozone absorbing Sun rays), and it also increases with altitude in the Thermosphere (due to UV rays absorption).

The Mesosphere is another counterexample where the temperature decreases with increasing altitude.