an object is in a circular motion. the radius of the circle is 2 meters and it takes 6.28 seconds to complete the circle. what is its centripetal acceleration?

Answers

Answer 1

The centripetal acceleration of the object will be 2 m/s^2.

An object moving in a circular motion has a centripetal force(F)

F = mv^2/R

Its centripetal acceleration is given by the following equation,

ma = mv^2/R

a = v^2/R

We know that in the case of circular motion, v = wr

Here, W is the angular frequency which is equal to 2pi/Time Period(T).

Hence its centripetal acceleration is

a = w^2(R)

Putting w = 2pi/T= 2pi/6.28 and R= 2 meters in the above equation

a = (2pi/6.28)(2)

a = 2 m/s^2.

Hence, the centripetal acceleration of the object will be 2 m/s^2.

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Answer 2

The centripetal acceleration of the object will be 2 m/s^2.

An object moving in a circular motion has a centripetal force(F)

F = mv^2/R

Its centripetal acceleration is given by the following equation,

ma = mv^2/R

a = v^2/R

We know that in the case of circular motion, v = wr

Here, W is the angular frequency which is equal to 2pi/Time Period(T).

Hence its centripetal acceleration is

a = w^2(R)

Putting w = 2pi/T= 2pi/6.28 and R= 2 meters in the above equation

a = (2pi/6.28)(2)

a = 2 m/s^2.

Hence, the centripetal acceleration of the object will be 2 m/s^2.

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Related Questions

If you pipetted 20.00ml of a liquid into a pre weighted beaker and determined that this liquid had a mass of 34.719 what is its density?

Answers

Density of liquid is  ρ = 1.735 [tex]g/cm^{3}[/tex].

What is Density ?

Density of liquid is  determined by using formula

ρ = m/v

ρ = 34.719/20

ρ = 1.735 [tex]g/cm^{3}[/tex]

It is possible to measure a material's density by how closely it is packed. The mass per unit volume is how it is formally defined. Density Symbol: ρ or ρ = m/V, where ρ stands for density, m for mass, and V for volume.

The amount of "stuff" that is contained in a certain amount of space is measured by density. In comparison to the softer, lighter element gold, a block of the heavier element lead (Pb) will have a higher density (Au). Less dense than a brick is a block of Styrofoam. Mass per unit volume is how it is referred to.

Both absolute and relative densities are common; they are the two forms of density.

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a stone is dropped from rest from the top of a tower 400 m high. at the same time another stone is thrown upwards from ground with speed 100ms-1. when and where they meet

Answers

With the help of Equations of Kinematics, we can say that, both the stones meet at a time t= 4 seconds and they meet at a height of 320 meters from the ground if the speed of the second stone was 100ms⁻¹.

How does a body in motion act under the influence of gravity?

When the body is thrown upwards or downwards it is influenced by gravity and it accelerates and deaccelerates accordingly and its magnitude is equal to the Acceleration due to gravity (g).

Based on this concept, if the body is thrown upwards a = - g (deacceleration), and if the body is dropped downwards a = g(acceleration).

Here in this question, the stone thrown upwards will deaccelerate and the one dropped downwards will accelerate.

So, the Height of the tower=400 meters.

Let the distance traveled by the stone dropped downwards from the top be s₁ and the distance traveled by the stone thrown upwards from the bottom be s₂.

Let the initial velocity of stone dropped downwards be u₁ and the stone is thrown upwards be u₂.

Let the time at which they meet together be t.

Now, using the equation of kinematics,

s=ut+ 1/2gt²

Here, acceleration = a will be equal to the acceleration due to gravity g.

(Take g=10m/s²).

We can write,

s₁=u₁t+1/2 gt²

s₂=u₂t-1/2 gt²

We know that,

s₁+s₂= 400

So, substituting the values of s₁ and s₂

u₁t+1/2 gt² + u₂t-1/2 gt² = 400

As the stone was dropped from rest u₁=0

On further solving,

u₂t=400

Given, u₂= 100ms⁻¹

Hence, t=4 s

Now, s₂= 100(4)-1/2(10)(4²)

=400 - 80

= 320 m

The distance is 320 m from the ground.

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Select the best answer for the question.
3. Aside from representing the circuit components and the way they're connected to each other, the electrical symbols used in schematic diagrams also represent the
OA. physical location of the circuit.
OB. functions of the circuit.
O C. size of the circuit.
OD. actual shapes of the circuit components.

Answers

The electrical symbols used in schematic diagrams also represent the physical location of the circuit.

What is schematic diagram in electrical?

A schematic diagram is a basic, two-dimensional representation of an electrical system that shows the connectivity and operation of various electrical components.

A simplified drawing that uses symbols and lines to represent key information is called a schematic diagram. For instance, if you're taking the subway, you might see a "map" that shows all the stations along the route, but it won't show all the streets and structures you might pass.

Symbol used :

The most typical symbols used in circuit diagramming are electrical symbols. In your circuit, amplifiers (represented by triangle shapes) boost the output signal. Your system's capacitors (parallel lines) store energy, whereas resistors (zigzag lines) lower current flow.

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a rifle is fired straight up and the bullet leaves the rifle with an initial velocity magnitude of 630 m/s. after 5.00 s, the velocity is 580 m/s. at what rate is the bullet decelerated?

Answers

The rate at which the bullet decelerated is -10m/s²

Acceleration and deceleration

The formula for calculating the deceleration of an object is referred to as:

Deceleration = initial velocity-final velocity/time

Substitute the given parameters to have:

Deceleration = 580-630/5

Deceleration = -50/5

Deceleration = -10m/s²

Hence the rate at which the bullet decelerated is -10m/s²

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Can an object be charged negatively with the help of a positively charged object?.

Answers

Answer:

Sure...it can be

Explanation:

When a positively charged body is brought near the neutral body, the body is negatively charged through electrostatic induction.

• At contact, the negative charges of a body are attracted to the near end of that body hence neutralization.

• When the positively charged body is removed and the body is earthed, it remaims negatively charged.

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a sports car, starting from rest, accelerates to a speed of 60.0 mph in 6.00 seconds. what was the acceleration of the car, in ft/s^2, during the run?

Answers

The acceleration of the car is 32.8084 ft/s².

To find the acceleration, the given values are:

Initial velocity = 0 m/hr

Final velocity = 60 m/hr

Time = 6 seconds.

What is Acceleration?Acceleration is a rate of change of velocity with respect to time with respect to direction and speed.A point or an object moving in a straight line is accelerated if it speeds up or slows down.Acceleration is a vector quantity.Acceleration formula can be written as,

         Acceleration,  a = (v - u ) / t m/s²

where, a - acceleration

v - Final velocity

u - Initial velocity

T - Time

Substituting the given values,

a = ( 60 - 0 ) / (6)

  = 60 / 6

  = 10 m/s².

The acceleration of the car is 10 m/s².

As the answer should be in ft/s²,

1 meter = 3.28084

For 10 meter = 32.8084 ft/s².

So, the acceleration of the car during the run is 32.8084 ft/s².

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3. Saagar gives a certain teacher some sass followed by an eye roll. Suddenly, a shoe is thrown at him.
The flip-flop moves from rest to 12km/hr when it strikes Saagar in the back of the head. The flight of
the shoe takes only 1.2 seconds. What is the average acceleration of the shoes

Answers

The average acceleration of the shoes thrown at him, a =2.775 m/s².

Equation :

To find the acceleration with given data we use this formula,

v = u + aΔt

Where,

v is final velocity

u is initial velocity

a is acceleration

Δt is time

So,

v - u = aΔt

a = v - u /Δt

a = 12km/hr - 0 / 1.2 s

a = 12km/hr / 1.2s

Changing km/hr into m/s,

1 kilometer/hour = 1000meters / 3600 seconds

We get,

12km/hr = 3.33m/s

a = 3.33 m/s / 1.2s

a = 2.775 m/s²

What is velocity ?

When an object is moving, its velocity is the rate at which its direction is changing as seen from a specific point of view and as measured by a specific unit of time. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.

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If the equilibrium constant for a b c is 0.157, then the equilibrium constant for 2c 2a 2b is:__________

Answers

If the equilibrium constant for A + B = C is 0.157, then the equilibrium constant for 2C = 2A + 2B is 40.6.

What is Equilibrium Constant?

The equilibrium constant (K) of a chemical reaction is the relationship between the products and reactants when a chemical reaction reaches equilibrium. The equilibrium constant of concentration (Kc) of a chemical reaction at equilibrium is defined as the ratio of the concentration of products to the concentration of the reactants, each raised to their respective stoichiometric coefficients.

At equilibrium, Rate of the forward reaction = Rate of the backward reaction

Mathematically, it can be stated as:

[tex]r_f=r_b\\k_f\times \alpha\times [A]^a[B]^b=k_b\times \alpha\times [C]^c[D]^d[/tex]

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A truck traveling at 61 mph brakes to a stop in 231 feet. what was the average acceleration and stopping time?

Answers

The average acceleration is -5.21 m/s² and the stopping time is 5.2 sec.

Given,

Final velocity, v = 0

Initial velocity, u = 61 mph

mph to km/h

u = 97.6 km/h

Or, u = 27.11 m/s

Displacement, s = 231 feet

Or, s = 70.4 meter

By using the third equation of motion, we get

v² - u² = 2as

0 - (27.1)² = 2 × a × 70.4

Or, acceleration(a) = -5.21 m/s²

Now, by the first equation of motion,

v = u + at

Or, - u = at

-27.11 = -5.21 × t

Or, t = 27.11/5.21

t = 5.2 sec

The stopping time (t) is 5.2 sec

Hence, the average acceleration is -5.21 m/s², and the time is 5.2 sec.

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calculate the magnitude of the electric field (in n/c) at 4 m from a point charge of 3.9 µc. you should round the answer to an integer, indicate only the number, do not include the unit. hint: 1µc

Answers

The magnitude of magnetic field is 2194 N/C

Given,

r = 4 m

Q = 3.9 µC

Q = 3.9 × 10⁻⁶ C

Let, the electric field is " E "

E = (k × Q/r²)

E = (9×10⁹×3.9×10⁻⁶/4²)

E = 2193.75 N/C

E = 2194 N/C

A magnetic discipline is a vector field that describes the magnetic affect on moving electric prices, electric powered currents, and magnetic substances. A shifting charge in a magnetic subject reviews a pressure perpendicular to its personal velocity and to the magnetic area.

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kepler's first law states that a planet moves around the sun in a(n) group of answer choices circle, with the sun at the center. elliptical orbit, with the sun at one focus. elliptical orbit, with the sun on the minor axis of the ellipse. elliptical orbit, with the sun at the center of the ellipse.

Answers

Kepler's first law states that a planet moves around the sun in an elliptical orbit, with the sun at one focus.

What are planets?

Planets are large bodies in space which orbit round a star such as the Sun.

The Sun and the planets that orbit around it form the solar system.

The movement of the planets around the Sun is described as planetary motion.

Planetary motion is descried in Kepler's laws of Planetary motion.

The Kepler's laws of Planetary motion are given as follows:

every planet's orbit is an ellipse with the Sun at one focus.a line joining the Sun and a planet sweeps out equal areas in equal timesThe square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its orbit.

In conclusion, planets orbit around a star.

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An analog voltage is in the range 0v to 5v. if it can be measured with an accuracy of /- 50mv (100 mv steps), at most how many bits of information does it convey/represent?

Answers

The correct answer is 5.64.

Since the analogue signal is divided every 100 mV for accuracy of 50 mV, we have 50 discrete observations from 0 to 5V. Thus

It's given that the accuracy is +/- 50mV. This essentially means that the length of interval of permissible accuracy is 100mV.

Now, it's given that the analog voltage range is 0-5 V. So, the number of discrete points in 0-5V will be as follows:

50V/100mV.

Upon solving, it comes out to be 50.

The number of bits is defined by the formula log_2n, where n is the number of discrete points.

In this case, n = 50. Putting the value in the formula,

No of bits = log_2 50

Upon solving,

No of bits = 5.64

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I just need an answer to question 3. Please explain how to solve it.

Answers

Displacement has to do with the change of position with time in a specified direction.

What is the displacement?

The term displacement has to do with the change of position with time in a specified direction. Now let us proceed to solve the questions individually.

1) Displacement = x2 - x1 = 4.27 - 9.2 = -4.93 m

2) Velocity = displacement/ time = x2 - x1/t2 - t1 = 4.27 - 9.2/4.81 - 1.54

= -4.93 m/3.27 = -1.5 m/s

3) The average speed is obtained from;

9.2/1.54 + 4.27/4.81

= 5.97 + 9.08

= 15.05 m/s

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Suppose two comets, comet a and comet b, were orbiting the sun, having the same average orbital radii. If comet a had a higher eccentricity than comet b, which comet would, during some portion of its orbit, have the highest orbital speed?.

Answers

By these laws, comet A will have a lower orbital speed. Then the correct option is A.

What is Kepler's First Law?

Every planet's orbit around the Sun is an ellipse, according to Kepler's First Law. The planetary ellipse's central point is always exactly where the Sun is. The Sun is centered. The planetary system is an ellipse, thus as it revolves around its axis, the distance from the Sun changes continuously.

According to Kepler's First Law, the sun is also one of the elliptic foci of planetary bodies' orbits. In addition, according to Kepler's Second Law, as the site goes along its orbital, it covers equal regions in similar amounts of time. Eventually, Kepler's Third Law states that the ratio of the cubes of two planetary nebulae' semi-major longitudinal axis to their rectangular shape periods is equal to that ratio.

By these laws, comet A will have a lower orbital speed.

The missing options are given below.

A. Comet A

B. Comet B

C. Both would be the same

D. Impossible to tell

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If a fisherman applies a horizontal force with magnitude 42.5 nn to the box and produces an acceleration of magnitude 3.60 m/s2m/s2, what is the mass of the box?

Answers

The mass of the box is 11.80N

Calculation

F= 42.5

a=3.60 m/[tex]s^{2}[/tex]

m=?

F=ma

m=F/a = 42.5/3.60

m=11.80N

Concept of force.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Which three notions of force are there?

Thrust, which increases an object’s velocity; drag, which decreases an object’s velocity; and torque, which causes changes in an object’s rotational speed, are all concepts connected to force.

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Determine by trigonometry the magnitude and direction of the smallest force p for which the resultant r of the two forces applied at a is vertical.

Answers

By the trigonometry the magnitude and direction of the smallest force p for which the resultant r of the two forces applied at a is vertical force p is 368.06  N.

What is vector?

A vector is a quantity or phenomenon with independent properties for both size and direction. The mathematical or geometrical depiction of a quantity is another meaning of the word. Vectors may be found in nature as force, momentum, electromagnetic fields, weight, and velocity.

The average is calculated by dividing the total by the vector's n elements. can be written as. Since the average is simply a rescaling of the total, the terms average and sum are frequently equivalent. A particular instance of the mean is the average.

balancing forces in horizontal,

425cos30 = Pcosa

P = 425cos30 / cosa   this should be smallest

that means cosa should be biggest.

max(cosa)  = 1

at a = 0 degrees.

so  p = 425cos30/1  = 368.06  N

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kangaroos are strong jumpers and can leap over an object 1.8m high, calculate a kangaroo's minimum vertical speed when it leaves the ground

Answers

The kangaroo's minimum vertical speed when it leaves the ground is 5.94 m/s

Data obtained from the question

From the question given above, the following data were obtained:

Maximum height (h) = 1.8 mFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Initial velocity (u) =?

How to determine the initial velocity of the kangaroo

The inintial velocity of the kangaroo can be obtained as illustrated below:

v² = u² – 2gh (since the ball is going against gravity)

0² = u² – (2 × 9.8 × 1.8)

0 = u² – 35.28

Collect like terms

u² = 0 + 35.28

u² = 35.28

Take the square root of both side

u = √35.28

u = 5.94 m/s

Thus, the minimum vertical speed of the kangaroo when it leaves the ground is 5.94 m/s

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the fireman wishes to direct the flow of water from his hose to the fire at b. determine two possible angles u1 and u2 at which this can be done. water flows from the hose at va

Answers

The two possible angles obtained by using the qudratic equation are;

θ[tex]_{1}[/tex] = 15.10° and θ2 = 73.51°

Given, speed of water = [tex]v_{A}[/tex] = 50ft/s

For the motion along x direction, time period can be calculated as follows:

[tex]s_{x} = (v_{A}) _x_{} } t[/tex]

35 = (50 × cosθ) t

t = 0.64 / cosθ

For the motion in y direction, an equation can be obtained as follows:

[tex]s_{y} = (v_{A})_{y} t +\frac{1}{2} (a_{y} )t^{2}[/tex]

[tex]s_{y} = (-v_{A}[/tex][tex]sin[/tex]θ) [tex]} t +\frac{1}{2} (a_{y} )t^{2}[/tex]

Plugging in the values we get:

[tex]-20 = (-50_[/tex][tex]sin[/tex]θ) [tex]} t +\frac{1}{2} (-32.2} )t^{2}[/tex]

-20 = -32tanθ - 10.304[tex]sec^{2}[/tex]θ

Upon solving the above quadratic equation, we get,

tanθ = 0.27 , -3.38

Therefore,

tanθ[tex]_{1}[/tex] = 0.27

θ[tex]_{1}[/tex] = 15.10°

and, tanθ[tex]_{2}[/tex] = -3.38

θ[tex]_{2}[/tex] = 73.51

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hich statement about niels bohr’s atomic model is true? higher orbits have lower energies. each orbit has a specific energy level. electrons can exist in any energy level. orbits close to the nucleus have no energy.

Answers

Every type of orbit has a specific energy level is the statement of Niels Bohr’s atomic model that is true in this context related as to the atomic model.

What does the Bohr atomic model state?

According to the Bohr model, electrons orbit the nucleus at constant energies. Higher energy levels are also present in all orbits that are farther from the nucleus.

Here in, the Light is released as energy when any kind of electrons drop to a kind of lower energy level.

A known, the five elements are created by incredibly tiny particles called atoms when John Dalton first proposed the atomic hypothesis.

Atoms of various elements have different kinds of sizes, masses, and physical-chemical properties, which cannot be possibly separated.

Niels Bohr has further also developed a model that was totally focused on the quantum paradigm in response to this hypothesis.

Exactly what orbit has the most energy?

The orbits that have the maximum orbital energy can be seen as 7s,5f,6d,7p.

Since every electron has kind of the same amount of charge, repulsion is what makes these electrons to stay as far apart as possible.

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What is the empirical formula of a compound this is comprised of 16.03 grams of sulfur (s) and 24.00 grams of oxygen?

Answers

The compound which can exabit the empirical formula of 1:3 is SO₃.

What is empirical formula?

The simplest whole number ratio of atoms in a molecule is the empirical formula of a chemical compound in chemistry. Sulfur monoxide's empirical formula, SO, and disulfuric dioxide's empirical formula, S2O2, are two straightforward examples of this idea.

An empirical formula is a compound's chemical formula that only specifies the ratios of the elements it contains and not the precise number or arrangement of atoms. This would be the compound's element with the lowest whole number ratio.

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*2–20. determine the angle θ for connecting member a to the plate so that the resultant of f a fa and f b fb is directed along the positive x axis. also, what is the magnitude of the resultant force?

Answers

The magnitude of the resultant force is 10.40 KN.

The problem is based on the concept of concurrent coplanar forces. The value of the resultant forces in the vertical direction is to be equated to zero to calculate the value of the angle.

The summation of the forces in the horizontal direction will provide the value of the resultant force in the horizontal direction.

Concurrent coplanar forces these forces emerge from a common point. These forces work in a common plane. The resultant of these forces in a direction is the sum of the forces in that direction.

The resultant force for a coplanar concurrent unidirectional force system is expressed as,

F=F+F, +F

Here, F, F2, and F3  are the unidirectional concurrent coplanar forces and are the resultant of the forces.

The resultant force will be equal to the sum of the forces in the horizontal direction.

FR = (8 kN)sin +(6 kN) sin(40°)

Substitute 54.939  for.

FR = (8 kN) sin(54.93°) +(6 kN)sin (40°) = 10.40 KN

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at what distance is an object if its parallax, as measured from either end of a 4723 km baseline, is 4''(arcsec)?

Answers

The position of an object changes when you move, and this is known as parallax. For instance, if you turn your head a little from side to side while looking at a nearby object, the object will appear to be moving back and forth. 

Sit steady and look at an object while covering your right and left eyes alternately to observe parallax. As you do that, the object will appear to "bounce back and forth." We are able to calculate the distance to surrounding objects thanks to parallax. We frequently employ it in straightforward acts like taking up a pencil. Because stars are so far away, the angle by which their positions change is quite small—only a few hundredths of a degree. The change is so slight that astronomers employ an even smaller measurement of angle called an arc-second, which is equivalent to a sixty-fifth of a sixty-fifth of a degree. So, one arc-second is equal to 1/60x1/60 or 1/3600 of a degree.

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Objects accelerate due to gravity as they fall. A basketball falling through a net would have the greatest amount of kinetic energy when the ball is _____. A still in the net B halfway to the floor C almost at the floor D a meter below the net

Answers

The greatest amount of kinetic energy of the ball is when the ball is almost at the floor.

According to the Law of Conservation of Energy, the total energy of a system is conserved.

The total energy includes the kinetic energy and potential energy.

Thus KE+PE = k(constant)

Therefore, when kinetic energy is maximum, the potential energy is minimum and vice versa.

When the ball is still in the net, it is at its highest point. So, its potential energy is maximum and kinetic energy is minimium.

When the ball is about to hit the ground, its potential energy becomes minimum and kinetic energy becomes maximum.

Thus, the greatest amount of kinetic energy of the ball is when the ball is almost at the floor.

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while standing at the edge of a building's roof, chad throws an egg upward with an initial speed of 4.00 m/s. the egg subsequently smashes on the ground, 15.0 m beneath the height from which chad threw it. ignore the effects of air resistance.

Answers

The correct answer is 16.62m.

The acceleration brought on by gravity is the acceleration that an object experiences as a result of the gravitational attraction that attracts two objects. Since the SI unit for gravity and acceleration are the same, ms^-2 is used. The standard value for the earth's gravitational acceleration is represented by (g). At mean sea level, g has a standard value of 9.8 ms^-2.

a) Motion of egg is under gravity only so

v= initial speed

v= 4 m/s

b)

Time taken to reach the height point

t_1= v_0-v_top/2g = 4-0/9.8

=4/9.8=0.4

Maximum height attained by egg from the building's roof

h=v_0^2/2g=(4)^2/2×9.8=

=16/19.6=0.81

maximum height from ground

H=h+15.0m

=0.81+15.0=15.81m

Time taken to fall through a distance H is given by

t_2= √2H/g

= √2(15.81)/9.8

= √31.62/9.8

t_2=1.79

∴t=t_1+t_2

=0.4+1.79

=2.19 s

c)

d=h+h=0.81+0.81+15

=16.62

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the weight of an object on mars is 3/8 its weight on earth. if margie weighs 85 lbs on earth, how much would she weigh on mars?

Answers

She would weigh 31.87 lbs on mars when her mass on earth is 85 lbs.

By mass or weight, what do you mean?

Mass is a tangible body in the form of volume of matter. Additionally, it is a measure of the body's inertial, or resistance to acceleration in the presence of a net force The intensity of an object's gravity field to other bodies is also affected by its mass. The kilogram acts as the SI's primary mass unit. Think about the situation where three different scales are holding a marble, a tennis ball, and a bowling ball. The bowling ball would undoubtedly get the highest reading on the scale out of these three. Different planets has different weights and it is because of their gravitational pull while mass is same everywhere in the universe. A body can have mass but still no weight. The formula of Weight is W = mg, where m represents the mass of the body and g is the acceleration due to gravity. Also g depends on the location and the mass of the planet.

The weight on mars is 3/8 mass on the earth.

So here the if a person weighs 85 lbs on earth then on mars the weight will be 85*(3/8)=31.87 lbs.

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All solenoids that operate on alternating current must have a(n) ____________________ coil.

Answers

Answer:

Shading coil

Explanation:

The shading coil prevents the solenoid vibrate

Hope this helps

Arlo throws a rock down with speed 14 m/s from the top of a 30 m tall cliff. what is the rock's speed just as it hits the ground?

Answers

The rock's maximum speed just as it hits the ground is 28m/s.

Given that the initial speed of the rock is u = -14m/s. (speed taken as negative because the rock thrown down from the cliff)

The height of the tower is h=30m.

Taking height of the tower as origin, then final position of the rock is s= -h= -30m.

On applying the second equation of motion:

s= ut +¹/₂ at²

-30 = -14t+0.5×(-9.8)t²

4.9t²+14t-30=0

On Solving the equation we get, t=1.43s.

To calculate that final speed when rock hits the ground, we apply first equation of motion:

v=u+gt

v=-14+(-9.8)(1.43)

v=-28m/s.

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the pressure in the mesosphere is so low that a person could not be in this layer without a spacesuit. question 13 options: true false

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This statement is True that the pressure in the mesosphere is so low that a person will not be able to sustain in this layer without a spacesuit.

The mesosphere may be defined as the region in the earth's atmosphere which lies above the stratosphere and below the thermosphere. It has a very low temperature and pressure. The top of the mesosphere is the coldest part of Earth's atmosphere.

This layer is the highest layer of the Earth's atmosphere wherein all the gases of the atmosphere get mixed up rather than being layered in the atmosphere according to their masses. The pressure in the Mesosphere is very low the reason that it is very highly situated, and all the amount of air mass lies below this layer.

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if we break the acceleration of this missile into two components, in the vertical and horizontal direction, what statement correctly characterizes the source of the acceleration?

Answers

Both horizontal and vertical acceleration is produced by the jet engines. While it does contribute to vertical acceleration, gravity has no effect on horizontal acceleration.

What is acceleration?

The term acceleration has to do with the change in the velocity with time. We know that velocity is a vector quantity hence we have to look at the magnitude and the direction of the quantity.

In the same vein, acceleration is a vector quantity. As such we could resolve it into the vertical and the horizontal directions just as we can do for velocity.

The true statement of the situation when we break the acceleration of this missile into two components, in the vertical and horizontal direction, is that; both horizontal and vertical acceleration is produced by the jet engines. While it does contribute to vertical acceleration, gravity has no effect on horizontal acceleration.

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which is the movement of thermal energy from a region of higher temperature to a region of lower temperature?

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The correct answer is convection.

Convection is the physical movement of material particles that transfers heat from a location of greater temperature to a region of lower temperature.

Convection is a heat-transfer process in which heat energy is transferred by the mass movement of fluid molecules, such as those found in gases and liquids. Under normal circumstances, gases and liquids are poor heat conductors, yet they are nonetheless capable of transferring heat.

Other than through diffusion, advection, or both, convection is the method used to transfer heat. Solids don't experience convection because the particles that make them up don't move.

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