A space shuttle is flying north at 6,510 m/s. It
then begins accelerating at 28.4 m/s2 directly
northeast to properly align its path towards
orbit around the Earth. After 60.0 s, what is
the direction of its velocity?

Answer:

According to Newton's second law of motion, the acceleration of a body is directly proportional to the force acting on the body and inversely proportional to its mass. The formula for this law is

a

=

F

m

, from which we get the formula

F

=

m

a

. When mass is in kg and acceleration is in

m/s/s

or

m/s

2

, the unit of force is

kgm/s

2

, which is read as kiligram-meter per second squared. This unit is replaced with an N in honor of Isaac Newton. Your problem can be solved as follows:

Known/Unknown:

m

=

3000kg

a

=

2m/s

2

Equation:

F

=

m

a

Solution:

F

=

m

a

=

3000kg

x

2m/s

2

=

6000kgm/s

2

=

6000N

Explanation:

Answer:88.3 m/s

Explanation:

[tex]y = d \times sin \alpha \\ y = 13.04 \times sin3 \\ y \approx8.028 \: meters[/tex]

The magnitude of the magnetic field inside the toroid varies as a function of :

[tex]B=\mu _0 nI[/tex]

where, B = magnetic field

n is the number of turns,

I is the current induced

What is a toroid?

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In the Lewis formula for hydrazinium ion, N 2H 5 +, the total number of lone electron pairs around the two nitrogen atoms is 1.

What is Lewis structure?

Lewis structures, often referred to as Lewis dot formulas, Lewis dot structures, electron dot structures, or Lewis electron dot structures (LEDS), are diagrams that depict the interactions of atoms inside molecules as well as any lone pairs of electrons that may be present. Any molecule with a covalent link, as well as coordination compounds, can have a Lewis structure. Gilbert N. Lewis, who described it in his 1916 article, The Atom and the Molecule, gave the Lewis structure its name. Lewis structures add lines between atoms to represent shared pairs in a chemical bond, extending the idea of the electron dot diagram.

The two nitrogen atoms are surrounded by just one lone electron pair in the hydrazinium ion's Lewis formula, n2h5+.

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The acceleration ax = 3.03 m/s^2 and the ay = 1.75 m/s^2.

It is given that

h = 1.75m

[tex]\theta[/tex]= 30°

Vo = 5.87 m/s

Now Vox= Vo cos[tex]\theta[/tex]

= 5.87 x cos30° = 5.08 m/s

Voy = Vo sin[tex]\theta[/tex] = 2.94 m/s

Tan[tex]\theta[/tex] = h/x

⇒ x =h/tan[tex]\theta[/tex]

⇒ x = 3.03m

y = h = 1.75m

Now, v for the ball is given by

V = Vo + [tex]\sqrt{10gh/7}[/tex]

= Vo + [tex]\sqrt{10*9.81*1.75/7}[/tex]

V = 5.87 + 4.95 = 10.82m/s

⇒ Vx = Vcos[tex]\theta[/tex] = 9.37 m/s

and Vy = 5.41 m/s

a = 5/7 gsin[tex]\theta[/tex]

So, ax = 5/7 gsin[tex]\theta[/tex] x cos[tex]\theta[/tex]

ax = 5/14 gsin(2[tex]\theta[/tex])

ax = 5/14 x 9.81 x sin60°

ax= 3.03 m/s^2

and ay = 5/7gsin[tex]\theta[/tex] x sin[tex]\theta[/tex] = 5/7 gsin^2[tex]\theta[/tex]

= 5/7 x 9.81 x sin^2 30°

⇒ ay = 1.75 m/s^2

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The charge on the penny is necessary to levitate the penny, the magnitude is 3*10^-4C and sign is negative.

Charged matter experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. Positive or negative charges can exist in an electric field (commonly carried by protons and electrons respectively). A neutral object is one that carries no net charge. The early understanding of how charged particles interact is today known as classical electrodynamics, and it is still true for issues that do not demand for taking into account quantum phenomena. Electric charge is a conserved property; the net charge of an isolated system, which is the sum of the positive and negative charges, cannot change.

According to Newton's second law -

∑fy= ma

fe-mg=ma

Fe= ma + mg

qE = 3*10^-3*0.19 + 3*10^3*9.81

qE= 30 * 10^-3

q= 30*10^3/100 = 30*10^-5

q= 3*10^-4C

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The time period remains the same = 1 sec.

We have a mass–spring system.

We have to determine the period of oscillation if mass–spring system is displaced from equilibrium by 10cm and not from 5cm.

The time period is given by -

[tex]$T = 2\pi \sqrt{\frac{M}{K} }[/tex]

According to the question -

For x = 5 cm the time period is 1 seconds.

The time period is directly proportional to [tex]$\sqrt{\frac{M}{K} }[/tex] and it is not dependent on x.

So the time period remains the same = 1 sec only and only is the spring - mass system is the same.

Hence, the time period remains the same = 1 sec.

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Answer:

A. Her distance is 4 miles.

B. Her displacement is positive.

Explanation:

She traveled 2 miles and then 2 miles so 2 + 2 = 4.

Displacement is the change in direction but she didn't change direction and continued in the same direction so the displacement would be positive.

The deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

It is given that:

A baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s

As we know,

From the acceleration formula:

a = (v2 - v1)/t

a = (0 - 4.7)/1.5

a = -3.13 m/s²

Thus, the deceleration of the player is -3.13 m/s² if the baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s.

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The renting car that is reported to achieve 10.1 km/L its mileage in miles/gal is: 23.75 miles/gal

To solve this problem, we have to do the conversion of units with the given information.

Information about the problem:

Converting the units from km/L to miles/gal, we get:

10.1 Km/L * (1 miles / 1.60934 km) * (3.785 L  1 gal) = 23.75 miles/gal

10.1 Km/L is equivalent to 23.75 miles/gal

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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Atoms, in which the number of electrons does not equal the number of protons, are  referred to what we call ions.

This refers to an atom or molecule which has a net electric charge as a result of the gain or loss of electrons which is the part of the subatomic particle actively involved in a chemical reaction.

Due to the electrons involvement in a reaction, it doesn't equal the number of protons and results in the formation of ions in which the positive ions are the ones which donate electrons and negative ions accept electrons.

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Answer: 8.10m/s

Explanation:

using second eq of motion s=ut+1/2at

2

as u=0, a=

t

2

2s

​

=

5.21

2

2∗110

​

=8.10m/s

2

Answer: The resultant is the vector sum of two or more vectors.

True, A longitudinal design can often determine cause and effect more accurately than any cross-sectional design and this is a proven case.

By virtue of its scope, a longitudinal study is more likely than a cross-sectional study to suggest cause-and-effect linkages. In general, the design should be influenced by the research.

Sometimes, the direction of the research helps determine which design is most appropriate.

In contrast to longitudinal designs, adopting cross-sequential designs gives researchers the opportunity to quickly analyze a variety of age groups.

It also allows researchers to test for cohort effects, which is frequently impossible in a conventional longitudinal design.

A cross-sectional investigation when is carried out using several samples. The identical sample is used for longitudinal research.

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The total time it takes a project fired straight up at 10m/s and Return to its starting point is about time, t= 2s.

At top speed v=0,

V= urate

0=10+ -g×t

t=1 sec

Top to Bottom it will take one more sec

t= 1+1

t=2 sec/s.

Unless there has been a break in service of less than twelve (12) months, in which case the employee will get an adjusted seniority date upon restoration to a Unit 6 classification, Total Time is calculated as the amount of time since the hire date.

During a gap in employment, an employee is not permitted to gain seniority. When an employee returns to a Unit 6 classification after more than twelve (12) months of absence, their starting seniority date is reset entirely.

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Nonmetals do not conduct electricity or eject electrons when hit by photons.

An insulator is a material that does not allow electric current to pass through it. A metal is a material that is able to conduct electricity. We know that metals are able to conduct electricity and are also able to eject electrons when hit by photons.

All these goes back to the nature of the metals and the nonmetals. We know that the difference between the valence band and the conduction band in nonmetals is so wide. This prevents the promotion of electrons from the valance band to the condition band.

As such, nonmetals do not conduct electricity or eject electrons when hit by photons.

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The longest wavelength of light capable to remove an electron from a sample of potassium metal is 1.136 x 10^-19 m.

The binding energy is the amount of energy needed to bind the electron to the element.

If energy equal to or more than the binding energy is provided, electrons will be removed from the metal.

The energy(E) of a light wave is calculated using the following formula,

E = hc/λ

In the above formula

h = Planck’s Constant = 6.626 x 10^-34 J s

c = speed of light

λ = wavelength of light

Putting E = 1.76 x 10^6 J in the formula

1.76 x 10^6 = 6.626 x 10^-34 x 3 x 10^8/lambda

λ = 1.136 x 10^-19 m.

Thus, the longest wavelength of light capable to remove an electron from a sample of potassium metal is 1.136 x 10^-19 m.

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The longest wavelength of light capable to remove an electron from a sample of potassium metal is 1.136 x 10^-19 m.

The binding energy is the amount of energy needed to bind the electron to the element.

If energy equal to or more than the binding energy is provided, electrons will be removed from the metal.

The energy(E) of a light wave is calculated using the following formula,

E = hc/λ

In the above formula

h = Planck’s Constant = 6.626 x 10^-34 J s

c = speed of light

λ = wavelength of light

Putting E = 1.76 x 10^6 J in the formula

1.76 x 10^6 = 6.626 x 10^-34 x 3 x 10^8/lambda

λ = 1.136 x 10^-19 m.

Thus, the longest wavelength of light capable to remove an electron from a sample of potassium metal is 1.136 x 10^-19 m.

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D. The height of a student in the class from the given data is 70.

A stem plot is a way to plot data where the data is split into stems (the largest digit) and leaves (the smallest digits).

5, 25, 56, 92, 47, 76, 70, 1

Thus, the height of a student in the class from the given data is 70.

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This is Newton's first law of motion, which says it's due to the motion being opposed by unseen resistive forces such as friction and air resistance.

Newton's first law states that unless compelled to change its state by the action of an external force, every object is going to remain stationary or in uniform motion in a straight line. Inertia is the tendency to resist changes in a state of motion.

If an accident occurs or the brakes are suddenly applied to the car, the body will tend to continue its inertia and move forward, which will almost certainly prove fatal. Seat belts are used to prevent such accidents by preventing your body from moving forward in inertia and thus avoiding danger.

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Answer:

1,25m.s^-1

Explanation:

Speed=distance /time

=90000/72000

The displacement is 900 meter current to the South.

We know that velocity is the ratio of the displacement of a body to time. Displacement is a vector quantity just as velocity. We know that given the fact that velocity and displacement are vectors, the direction of the movement is very important.

Thus, we can see that;

Velocity =  3 meter/sec  current to the South

Time = 5 minutes or 300 sec

Velocity = displacement/ time

displacement = velocity * time

displacement = 3 meter/sec  current to the South *  300 sec

= 900 meter current to the South

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The change in energy is -10.2 eV.

We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as

ΔE = E2 - E1

where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.

The state energy of a hydrogen atom can be calculated by

E = -(13.6) / n² eV

where n is the number of energy states.

From the question above, we know that

n1 = 2

n2 = 1

By substituting the following parameter, we get

ΔE = E2 - E1

ΔE = -(13.6) / n2² - (-(13.6) / n1²)

ΔE = -(13.6) / 1² - (-(13.6) / 2²)

ΔE = 3.4 - 13.6

ΔE = -10.2 eV

The transition energy is minus because electrons emit the energy to move.

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The platform that would be most used by the teenagers in 2025 is Yo--utube

A bar chart is used to show the relationship between two variables. The bar chart can be used for the purpose of comparing data that is obtained from various variables. In this case, we are comparing the use of the various social media platforms by teens aged between 13 - 17 years.

We have to note that the social media platform that has the most usage and the most visitors must be the one that would have the highest usage as the years progresses.  This is what we could be able to see from the chart as shown in the question.

Looking at the graph, we can see that Y--outube would be the leading social media platform among the teenagers by 2025. This is because it is visual and has the highest percentage of teens using it thus the trend would continue to grow upwards.

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If both the mass of a simple pendulum and its length are doubled the period will The time period of a pendulum does not depend on the mass of bob. So if the mass of bob doubled, the time period remains the same

A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position. When the pendulum is freed, the restoring force acting on its mass causes it to oscillate, swinging back and forth, about its equilibrium point. The period is the length of time needed for one full cycle, or a left swing and a right swing. The period is influenced by the pendulum's length and, to a lesser extent, by the amplitude, or swing's width

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Option B has four significant figures.

The number of significant single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation is referred to as significant figures. The amount of precision or assurance an engineer or scientist uses to state a quantity is indicated by the number of significant figures in a statement. Rounding off an expression once a calculation is completed yields significant figures. The number of significant figures in the result of any computation must be equal to or less than the number of significant figures in the expression or component with the least accuracy. The digits in a number that have significance in terms of accuracy or precision are known as significant figures. Any digit that is not zero is among them. As in 3003 or 45.60009, there are zeros in between non-zero digits.

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The correct answer is 4.

We know that, for an ideal, mono atomic gas, we have:

Temperature is directly proportional to Kinetic Energy

Kinetic Energy = 1/2 x m x v^2, where

m - mass of the gas

v - velocity of the gas

Thus, temperature is directly proportional to the square of the velocity of the gas.

Therefore, if velocity (or speed) becomes twice, the Kelvin temperature will become four times of its original value.

If velocity of all the atom is doubled , then root mean square velocity will also get doubled .

Also we know , root mean square velocity Vrms = v(3RT/molar mass )

So  Vrms is directly proportional to square root of T (temperature )

So is Vrms gets doubled , temperature  gets 4 times .

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By Applying Newton's law of gravitation to this speeds, we can deduce the mass of the cluster.

What is a galaxy?

A galaxy is a collection of stellar remnants, stars, interstellar gas, dust, and dark matter that is gravitationally bound to each other. The name comes from the Greek word galaxias, which translates to mean "milky" and refers to the Milky Way galaxy, which houses the Solar System. Galaxies range in size from dwarfs with fewer than one hundred million (108) stars to the largest galaxies known as supergiants with one hundred trillion (1014) stars, each orbiting its galaxy's center of mass. Galaxies are thought to contain an average of 100 million stars.

Therefore, the speeds of individual galaxies can be used to determine the mass of the cluster of galaxies  by the method of measuring the speeds and positions of the galaxies in a cluster as they orbit. And then, applying Newton's law of gravitation to this speeds, we can deduce the mass of the cluster.

Determination of mass of cluster using speeds of galaxies orbiting the center:

a) determine a cluster's average speed and redshift measurements

b) To determine each galaxy's individual speed, deduct this average from the galaxy's overall speed.

c) calculate cluster mass using newtons universal law of gravitation and individual speed

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According to the question, the change in pressure for the jetstream is  14.54Pa.

The force applied perpendicularly to an object's surface expressed as a symbol (p or P) is the force divided by the area of the object's surface. The pressure when compared to the surrounding air pressure is known as gauge pressure. Pressure is expressed using a number of different units. The SI unit of pressure, the pascal (Pa), for instance, is equal to one newton per square meter (N/m²). Some of these measurements are the result of dividing a unit of force by a unit of area.

Explanation:

Given;

jet's diameter,d = 10⁻²m

temperature, t = 20°C

Surface tension acts only on the lines AB and CD.

Consider the equilibrium of forces;

∑F = 0

P₁-P₀ = 2σ/d

here surface tension σ = 0.0727 N/m

P₁-P₀ = 2×0.0727/10⁻²

        = 14.54 Pascal

Hence, the change in pressure of the jetstream is 14.54 Pascal.

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