At Six Flags Great Adventure Amusement Park in New Jersey, a popular ride known as "Free
Fall" carries passengers up to a height of 33.5 m and drops them to the ground inside a small
cage. How fast are the passengers going at the bottom of the exhilarating journey?

Answers

Answer 1

At the bottom of the journey, the passengers will be travelling at a speed of approximately 39.2 m/s.

What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration is usually denoted by the letter a in equations. It is the second derivative of position with respect to time, or the rate of change of velocity. Acceleration describes how quickly an object's speed changes with time. Acceleration can involve either an increase or decrease in speed, and it can involve either a change in direction or no change in direction.

This is because the velocity of a free falling object is equal to the square root of two times the acceleration of gravity times the height from which the object is dropped.
In this case, the height is 33.5 m, and the acceleration of gravity is 9.8 m/s2.
Therefore, the velocity at the bottom of the journey is equal to the square root of two times 9.8 m/s2 times 33.5 m, which is equal to 39.2 m/s.

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Related Questions

A converging lens is used to project the image of an arrow onto a screen as shown. The image is A) Real and upright B) Real and inverted C) Virtual and upright D) Virtual and inverted E) Impossible to determine

Answers

The correct option is B); Real and inverted , Since, the image is formed on the other side of lens it will be real and inverted.

When an item is positioned in front of the focal point of a converging lens, a virtual picture is created. The picture is enlarged and upright in this posture, making it simpler to observe.

When the rays come together, a true image is created. A virtual picture is always created above the primary axis, therefore it is always upright, as opposed to a real image, which is always formed below the principal axis and is always inverted.

A actual and inverted picture of an item positioned on the primary axis can only be formed by a convex lens.

While virtual pictures are created by diverging beams, real images are created by intersecting rays. While virtual pictures cannot be shown on a screen, real images may. Concave and convex lenses placed in opposition create real pictures.

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An 18 kg curling rock is pushed with a constant force of 13.0 N. The
curling rock has an initial speed of 1.5 m/s. Assuming there is no friction
determine the speed of the rock after it has travelled 2.1 m.

Answers

The speed of the rock after it has travelled 2.1m is 2.3 approx.

What is speed?

Speed is simply defined as the rate of change of position of an object in any direction.

Here mass is m = 18 kg

Initial velocity is 1.5 m/s

So initial kinectic energy,1/2 mv ^ 2= 1/2 (18) 1.5(1.5) = 20.25 J

Then the workdone is ,W= F.s= 13(2.1) = 27.30

Using work energy theorem

Final KE- intial KE = workdone

==> Final KE = workdone + intial KE

Or Final KE = 27.30+20.25= 47.55 J

Then 1/2 M v^ 2 = 47.55 J

Or Final velocity V= 2.3 approx.

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the glowing filament in a lamp is radiating energy at a rate of 60 w. at the filament’s temperature of 1500∘c, the emissivity is 0.23. what is the surface area of the flament

Answers

The surface area of the flament is -4 m square feet.

What is surface?

Surface means an outside part of an body or object.

We are asked to find the surface area. So we have to use the equation that relates power and surface area. So power is :

H= Ae σ T⁴

Where, H= power (60 watts)

A=area

σ=universal constant (5.67×10⁻⁸ w/m²)

T=Temperature(1773k)

So our surface area is just our area. A. So A. Is equal to power divided by the emissivity times of the  Stefan bolts, mons, constant to the  times the temperature to the fourth of  power.

So now we can the  substitute our values

(60/600.23)×5.67×10⁻⁸×1773⁴=4.65×10⁻⁴m²

Area of the filament is 4.65×10⁻⁴m²

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Indicate which of the following physics symbols denote units in which denote variables or quantities

Answers

There are a few different physics symbols that denote units, variables, or quantities:

Units: In physics, units are used to measure physical quantities. Some common units in physics include meters (m) for distance, kilograms (kg) for mass, and seconds (s) for time.Variables: Variables are quantities in physics that can take on different values. Some common variables in physics include position (x), velocity (v), and acceleration (a).Quantities: Quantities are physical quantities that can be measured. Some common quantities in physics include force (F), energy (E), and power (P).

So, to summarize, units are used to measure physical quantities, variables are quantities that can take on different values, and quantities are physical quantities that can be measured.

a solenoid having an inductance of 6.30 ph is connected in series with a 1.20 k() resistor. (a) if a 14.0 v battery is connected across the pair, how long will it take for the cnrrent through the resistor to reach 80.0% of its final value? (b) what is the current through the resistor at time / - 1.0ry

Answers

(a)If the battery is inserted into the circuit at time t=0, then at time t, the current is provided by i=/R(1et/L), where L=L/R. The moment that i=0.800dR must be found is our objective. This suggests that 0.800=1 et/L and 0.200 et/L.

We get (t/L)=ln(0.200)=1.609 by taking the natural logarithm of both sides. Thus,[tex]t=1.609τ L​ = R1.609L​ = 1.20×10 3 Ω1.609(6.30×10 −6 H)​ =8.45×10 −9 s[/tex].

What three purposes does a resistor serve?

There are various uses for resistors. A few examples include restricting the flow of electricity, dividing the voltage, producing heat, matching and loading circuits, controlling gain, and establishing time constants.

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a. you launch a 0.5 kg object vertically by putting it on top of a spring which has been compressed by 12 cm and which has a spring constant of 24 kn/m . the object starts with zero initial speed and is not attached to the spring. when the spring expands and fires the object straight up, how high vertically does the object go, relative to its starting point?.

Answers

Answer:

A 0.5 kg object is launched vertically when its put on top of a spring that has been compressed by 12 cm. The spring constant is 24 kN/m.

Explanation:

in a double-slit experiment it is found that blue light of wavelength 446 nm gives a second-order maximum at a certain location on the screen. what wavelength of visible light would have a minimum at the same location?

Answers

Wavelength of 594.6 nm of visible light would have a minimum at the same location.

For constructive interference

d sinQ=ml=2x436nm=892nm

For destructive interference of the other light, we have

d sinQ=(m’+1/2)l

where,  d = distance between slits

            Q = angle formed

            m = order of bright fringe

            m' = order of dark fringe

            I = wavelength

When the two angle are equal, then

892nm=(m’+1/2)l

l=1784 nm for m’=0

l=613 nm for m’=1

l=368 nm for m’=2

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An object is shot upwards, from the ground, with an initial velocity of
120 m/s. How high will it be after 4.0s?

Answers

Answer:

Below

Explanation:

Distance will be given by the equation:

df = do + vo t  + 1/2 a t^2       do = 0    a = -9.81 m/s^2

df = 0 + 120 (4) + 1/2(-9.81)4^2 = 401.5 m

on the moon your mass would be less but your weight would be the same true or false

Answers

Answer:

false

Explanation:

your mass would be the same but you would weigh less

in a double slit experiment light of wavelength 585.0 nm is used, the separation of the slits is 0.100 mm and the viewing screen is 21.0 cm from the slits. on this screen, what is the separation between the fifth maximum and seventh minimum from the central maximum?

Answers

The separation between fifth maximum and seventh minimum from central maximum is calculated to be 2.457mm.

What is the double-slit experiment?

The double-slit experiment shows that light and matter can exhibit the properties of classically defined waves and particles. This experiment was first performed by Thomas Young in 1802 to demonstrate the wave behavior of visible light

This experiment belongs to general class of double-path experiments, in which a wave is split into two separate waves. Changes in the path length of both the waves leads to a phase shift that creates interference patterns.

Separation between 5th and 7th minima is,

= 2 * (wavelength)x(Distance of the screen) / (slit separation)

=(2x 585x10^-9 x21x10^-2 )/ 0.1x10^-3

Hence, Separation between 5th and 7th minima is =2.457mm.

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what was the hiker's average velocity during part b of the hike? responses 0.6 km/h north 0.6 km/h north 0.17 km/h south 0.17 km/h south 6 km/h south 6 km/h south 10 km/h southeast

Answers

The hiker's average velocity during part B of the hike is 6 km/h South.

Given the following data:

Total distance = 6 km, South.

Start time = 9:45 am

Ending time = 10:45 am

To determine hiker's average velocity during part B of the hike:

First of all, we would determine the total time.

Total time = Ending time - starting time

Total time = 10:45 - 9:45

Total time = 1 hour.

Mathematically, the average velocity is given by the formula:

Average velocity = total distance / total time

Substituting the parameters into the formula, we have;

Average velocity = 6/1

Average velocity = 6 km/h South.

Therefore, the average velocity of the biker is 6 km/h South

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helicopter blades withstand tremendous stresses. in addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. calculate the centripetal acceleration at the tip of a 4.00 m long helicopter blade that rotates at 270 rev/min.

Answers

4,860m/s² centripetal acceleration at the tip of a 4.00 m long helicopter blade that rotates at 270 rev/min.

What is Centripetal acceleration?

The rate at which tangential velocity changes is known as centripetal acceleration. Centripetal force is defined as the total force that accelerates an item in a circular motion. The centripetal force points in the direction of the centre, perpendicular to the body's motion.

What is rotation?

An object moves in a circular motion around a central axis when it is rotating or spinning. A two-dimensional spinning object can rotate in either a clockwise or counterclockwise direction and has a single potential central axis. There are countless central axis and rotational directions that can be used to describe a three-dimensional object.

Calculation:

Centripetal acceleration =  ac = w². r

= (270)² × 4 = 4,860m/s²

Hence, 4,860m/s² centripetal acceleration.

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the block is allowed to travel around the hoop for a time t1. at that moment the speed of the block is v1. the experiment is repeated but the initial speed of the block in the second trial is greater than v0. will the speed of the block after a time t1 be greater than, less than, or equal to v1?

Answers

The speed of the block after a time t1 be greater than, less than, or equal to v1 is higher.

Initial velocity is the velocity at time interval t = 0 and it's miles represented by way of u. it's far the speed at which the motion begins. they're four initial pace formulation: (1) If time, acceleration and very last pace are supplied, the initial velocity is articulated as. u = v – at.

Calculation:-

V 1 = R/ (R/v + ut)

Since the denominator is smaller. So the Velocity becomes higher.

Speed is described as. The rate of exchange of function of an item in any course. pace is measured because the ratio of distance to the time wherein the distance was included. speed is a scalar amount as it has simplest course and no magnitude.

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starting from rest, a 94-kg firefighter slides down a fire pole. the average frictional force exerted on him by the pole has a magnitude of 800 n, and his speed at the bottom of the pole is 3.9 m/s. how far did he slide down the pole?

Answers

The firefighter will slide down upto a distance of  11.68 m.

A firefighter is a first responder with extensive training in firefighting, primarily to extinguish dangerous fires that threaten life, property and the environment, as well as to rescue people and, in some cases or jurisdictions, animals from dangerous situations.

Mass of the firefighter = m = 94kg

Frictional force = F = 800N

Speed at the bottom of the pole = 3.9m/s

Using the work energy theorem which says that initial potential energy is equal to the sum of final kinetic energy and work done.

mgh = (1/2)mv² + W

mgh = (1/2)mv² + Fh

h = height at which firefighter will slide down

h (mg - F) = (1/2)mv²

h = (1/2)mv² /  (mg - F)

h = mv² / 2 (mg-F)

h = 94* (3.9)² / 2 (922.14 - 800)

h = 1429.74/122.14

h =  11.68 m

He will slide 11.68 m down the pole.

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A person eats an 304.39 J snack before working out. If a person uses all of their
eaten energy to lift a 8.86 kg weight. How high can they lift the weight?

Answers

The height at which the weight of mass 8.86 kg was lifted is 3.5 m.

What is height?

Height is the vertical distance between two points.

To calculate how high the weight is lifted, we use the formula below.

Formula:

H = E/mg........ Equation 1

Where:

H = Height m = Mass of the of the weightg = Acceleration due to gravityE = Energy of the person

From the question,

Given:

m = 8.86 kgE = 304.39 Jg = 9.8 m/s²

Substitute these values into equation 1

H = (304.39)/(8.86×9.8)H = 3.5 m

Hence, the height the weight can be lifted is 3.5 m.

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Need help please help

Answers

Work  =  (force) x (distance)

Force exerted on the box  =  10 Newtons

Dictance the box travels  =  6 meters  

Work = (force) x (distance)

Work = (10 N) x (6 meters)

Work = 60 Newton-meters

Work = 60 Joules  (A)

Mass of the box . . . . . . .. |

Coefficient of friction . . . |  We don't care about

Force of friction . . . . . . .. |  any of these things.

Color of the box . . . . . . . |  They don't matter

Price of the box . . . . . . .. |  or make any difference.

Contents of the box . . .. |

Temperature of the box.|

Dimensions of the box .. |

Age of the box . . . . . . . . |

Multiple choice

There is a positive correlation between one's level of

A. cognitive anxiety and somatic anxiety

B. trait anxiety and state anxiety

C. arousal and stress

D. a and c

E. b and c

Answers

There is posetive correlation between one's level of cognitive anxiety and somatic anxiety.

What is correlation?

Correlation is a statistical of the  measure that is expresses  the extent to the  which two variables are the  linearly related (meaning they change together at its  constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect.

An individual with higher of the  trait anxiety score tends to the   higher state anxiety score. Scores of state anxiety are rated high in the  circumstances where an individual feels the situation to be threatening irrespective of the objective danger.

It means the higher the level  of the somatic or cognitive anxiety experience by the  athletes, the lower sport to  performance. The relationship between somatic and cognitive anxiety was explained best in Multidimensional Anxiety Theory. This theory explains by  that both cognitive and somatic anxiety effect performance.

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the mass of a proton is 1.00728 amu and that of a neutron is 1.00867 amu. what is the approximate binding energy (in j) of a 29co nucleus?

Answers

The binding energy per nucleon = 1.368*10^-12

What is energy?

Energy, which is observable in the performance of work as well as in the form of heat and light, is the quantitative property that is transferred to a body or to a physical system in physics. It is a mechanically accepted quantity.

The mass of a proton is 1.00728 amu

The mass of a neutron is 1.00867 amu

The mass of a cobalt-60 nucleus is59.9338 amu

Step 2: Calculate binding energy

The mass defect = the difference between the mass of a nucleus and the total mass of its constituent particles.

Cobalt60 has 27 protons and 33 neutrons.

The mass of 27 protons = 27*1.00728 u = 27.19656 u

The mass of 33 neutrons = 33*1.00867 u = 33.28611 u

Total mass of protons + neutrons = 27.19656 u + 33.28611 u = 60.48267 u

Mass of a cobalt60 nucleus = 59.9338 amu

Mass defect = Δm = 0.54887 u

ΔE =c²*Δm

ΔE = (3.00 *10^8 m/s)² *(0.54887 amu))*(1.00 g/ 6.02 *10^23 amu)*(1kg/1000g)

Step 3: Calculate binding energy per nucleon

ΔE = 8.21 * 10^-11 J

8.21* 10^-11 J / 59.9338 = 1.368 *10^-12

Complete Quetion:-The mass of a proton is 1.00728 amu andthat of a neutron is 1.00867 amu. What is the binding energy pernucleon (in J) of a Co nucleus? (The mass of a cobalt-60 nucleus is59.9338 amu.) a. 3.039× 10^-12 b. 2.487 × 10^-12 c. 7.009 × 10^-14 d. 1.368 × 10^-12 e. 9.432 × 10^-13

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a radio mostly consists of an lc circuit with a variable capacitor. turning the dial of the radio changes the capacitance of the circuit. you hear a radio station when the frequency of the lc circuit matches the frequency of light from the radio station. the variable capacitor in the tuner of an am radio has a capacitance of 1350pf when the radio is turned to a station at 550khz. [10 points] a. what must be the capacitance for a station at 1600khz? [7 points] b. what is the inductance (assumed to be constant)? [3 points]

Answers

The capacitance of the circuit is C = 8.382 F

What is an LC circuit ?

A signal at a specific frequency can be detected or produced using LC circuits. The most typical use of tank circuits is for tuning radio transmitters and receivers. The LC circuits, for instance, create a resonance for that carrier frequency when you tune a radio to a particular station.

Given : a LC circuit

and the frequency given is 550khz = 550000 Hz

w = 2πf

and w = [tex]\sqrt{\frac{1}{LC} }[/tex]

this implies;

2πf  =  [tex]\sqrt{\frac{1}{LC} }[/tex]

On squaring both sides we get

4pi^2f^2 = [tex]\frac{1}{LC}[/tex]

thus C = [tex]\frac{1}{4pi^2f^2}[/tex]

after substituting the value in this equation we get;

C = 1/ ( 4 × 3.14 × 3.14 × 550 × 550 )

C = 8.382 F

Thus the capacitance is C = 8.382 F

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the greatest hurdle that must be overcome to fully embrace nuclear power to generate electricity is

Answers

The biggest challenge to fully embracing nuclear power for the production of electricity is the safe storage of radioactive waste.

Uranium that is of excellent purity is in short supply. A nonrenewable energy source is nuclear power. It is challenging to properly dispose of nuclear waste. It is challenging to properly dispose of nuclear waste. In order to save the climate, we must reduce carbon emissions as much as possible quickly and cheaply. The operational risks and safety concerns that go along with them, risks associated with uranium mining, financial and regulatory risks, unresolved waste management issues, concerns about nuclear weapons proliferation, and unfavourable public perception are all obstacles to and risks associated with an increase in the use of nuclear energy. Ionizing radiation is toxic at high doses.

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If a rock is thrown
with an initial velocity of 5.4 m/s in the y-
direction and 8.2 m/s in the x-direction.
At what angle was the rock thrown?

Answers

The angle at which the rock was thrown is 33.37°.

What is angle?

An angle is formed when two rays are joined together at a common point.

To calculate the angle at which the rock was thrown, we use the formula below.

Formula:

∅ = tan⁻¹(Vy/Vx)................ Equation 1

Where:

∅ = Angle at which the rock was thrownVy = Velocity of the rock in y- directionVx = Velocity of the rock in x-direction

From the question,

Given:

Vy = 5.4 m/sVx = 8.2 m/s

Substitute these values into equation 1

∅ = tan⁻¹(5.4/8.2)∅ = tan⁻¹(0.6585)∅ = 33.37°

Hence, the angle is 33.37°.

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the direction of the force of sliding friction is always select one to that of velocity of the object and is select one static friction. State True or False your answer:
a. True
b. False

Answers

The given statement was false as sliding friction is lower than static friction.

what is Sliding friction ?

The friction experienced by two bodies in a comparable sliding motion is referred to as sliding friction. Sliding friction, like any other form of friction, may produce wear and tear on moving bodies.

Kinetic friction is a notion that defines the friction that happens as something slides. Because sliding friction is lower than static friction, moving a moving body is much easier than moving a stationary body (rest).

In contrast, the frictional force associated with a sliding motion is typically substantially larger. Although sliding friction is unaffected by surface area or total area of contact, it is greatly impacted by two factors: the kind of moving objects and their mass.

The given statement was false as sliding friction is lower than static friction.

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(F=ma) How much force is required to move a 10 kilogram object 10 meters per second squared?

Question 2 options:

A. 10 - 10 = 0

B. 100 Newtons

C. 100

D. 20 Newtons

Answers

Answer:B. 100 Newtons

Explanation:

F=ma, this mean that the force is equal to the mass (10 kg) multiplied by the acceleration (10 [tex]m/s^{2}[/tex]). Plug mass and acceleration to solve: [tex]F=10*10[/tex] ∴ [tex]F=100[/tex].

The required force  to move a 10 kilogram object 10 meters per second squared be 100 Newton. So, Option(B) is correct.

What is force?

The definition of force in physics is: The push or pull on a mass-containing item 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. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given parameters:

Mass of the object = 10 kilogram.

Acceleration of the object: a = 10 meter per second squared.

So, from Newton's 2 nd law of motion, we get:

required force = mass × acceleration

= 10 × 10 Newton

= 100 Newton.

Hence, required force  to move a 10 kilogram object 10 meters per second squared be 100 Newton.

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describe the differences between heat transfer through conduction, radiation, and convection.

Answers

Heat transfer in conduction is slow, heat transfer in convection is faster than conduction and heat transfer in radiation is the fastest.

The heat transfer takes place due to the difference in temperature. Heat transfer occurs between objects by direct contact in conduction. In this, heat transfer occurs through a heated solid object. Heat transfer takes within the fluid in convection. In this process heat transfer takes place due to difference in densities. Heat transfer occurs through electromagnetic waves and without involving particles in radiation. Heat transfer in conduction is slow, heat transfer in convection is faster than conduction and heat transfer in radiation is the fastest.

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using your multimeter, measure the dc resistance of the 100 mh inductor supplied in the parts kit. draw a model for the real inductor that includes this resistance. compute the maximum time constant for this component. do you think you could see the change of current with time with your multimeter?

Answers

The time constant is 0.974 sec when measured with the multimeter for the resistance of the 100 mh inductors.

What is Time constant?

The product of the circuit resistance and the circuit capacitance determines the RC time constant, often known as tau, the time constant (in seconds) of an RC circuit. It is the amount of time needed to charge a capacitor through a resistor from zero starting charge voltage to roughly 63.2% of the applied DC voltage or to discharge a capacitor to roughly 36.8% of its initial charge voltage through the same resistor.

What is an inductor?

An inductor is a passive electronic component that, when an electric current passes through its coil, momentarily stores energy in a magnetic field.

calculations:

Observed resistance = 102.6Ω

DC resistance R = 102.6Ω

                         L = 100mH

Time constant ρ = L/R

                             = 100/102.6

                             =0.974 sec.

Hence, the time constant is 0.974 sec when measured with the multimeter for the resistance of the 100 mh inductors.

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Which of the following expression is correct for radiation efficiency?
a) ηr=PrPl
b) ηr=PrPr−Pl
c) ηr=PrPr+Pl
d) ηr=PlPr+Pl

Answers

The ratio of power emitted to the total power applied to the antenna is known as radiation efficiency. The equation for radiation efficiency, r=PrPr+Pl, is accurate.

How is radiation efficiency determined?

The ratio of an antenna's output power to the power input into its excitation port is known as the radiation efficiency of the antenna. Here, the power loss resulting from port impedance mismatch is not taken into account. The radiation effectiveness of a lossless antenna in its ideal

What are total efficiency and radiation efficiency?

Losses in the conductor and the dielectric dissipate the power that is not radiated. Total efficiency measures how much power is incident from the network and how much is radiated, taking into account both reflection loss and energy dissipation.

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a magnetic field is caused by a _______ electric charge.

Answers

Answer: MOVING

Explanation:

A magnetic field is caused by a MOVING electric charge.

Charge can be positive or negative.

16. Ice has lower density than water because ice: A) molecules vibrate at lower rates than water molecules: B) molecules are more compact in the solid state. sinks_ is made of open-structured, hexagonal crystals: closed sealed can of air placed ona hot stove. The contained air undergoes an Consider increase in: A) volume_ B) mass_ density . pressure and temperature. 18_ Diffraction is a result of: A) refraction: B) reflection. dispersion: interference_ thin film on water are demonstration of: Colors seen when gasoline forms interference_ B) refraction _ C) dispersion. D) reflection_ 19_ 20. Flectromagnetic waves can travel: through a vacuum. through medium through either & medium o a vacuum: D) through a current:

Answers

When water freezes, the water molecules create a crystalline structure that is held together by hydrogen bonding.

define density ?

The density of a material indicates the density of that material in a specified region. The density of a substance is defined as its mass per unit volume. Density is a measurement of how closely stuff is packed together. It is a distinct physical attribute of a certain thing. Archimedes, a Greek scientist, developed the density principle. If you know the formula and understand the units, calculating density is simple. The sign indicates density, which may also be represented by the letter D.  

Water molecules develop a crystalline structure when it freezes, which is sustained by hydrogen bonding. The density of solid water, or ice, is lower than that of liquid water. Because the orientation of hydrogen bonding leads molecules to push further apart, ice has a lower density than water.

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construct a graph corresponding to the stone's vertical velocity, vy(t).

Answers

Graph corresponding to the stone's vertical velocity, vy(t) is slant line from 1st quadrant to 4th quadrant.

Assume, For time direction 0 to 2 seconds

V  = Vo - gt

At T = 2 sec; V = 0

so, 0 = Vo - 20

Vo = 20 m/s

From T = 2 sec to T = 6sec

V = 0 - gt = -10 t

hence

Velocity vs time graph is in figure.

An object's speed and direction on a vertical plane are referred to as vertical velocity. Vertical velocity can be used to describe a variety of objects, including coins dropped into wells by children and balls flung into the air. Gravity, which constantly acts on an item to change its velocity, is a crucial factor in vertical velocity. As the ball ascends, its speed will progressively slow until it eventually comes to a stop, modifies its course, and returns to earth. Anywhere along the ball's course, its velocity can be expressed as a number. The number's sign (positive or negative) indicates the ball's direction, and its value indicates the ball's speed.

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a 240 g bird flying along at 6.0 m/s sees a 12 g insect heading straight toward it with a speed of 30 m/s. the bird opens its mouth wide and enjoys a nice lunch. what is the bird's speed immediately after swallowing the insect?

Answers

4.28 m/s is the bird's speed immediately after swallowing the insect.

A) The birds speed after swallowing the insect is = 4.84 m/s

Given data :

mass of bird ( M₁ )  = 240 g

speed of bird ( U₁ ) = 6 m/s

mass of insect ( M₂ ) = 12 g

speed of insect ( U₂ )  = 30 m/s

Determine the birds speed of the bird

A) Birds speed after swallowing the insect

we will apply the principle of momentum conservation

M₁U₁  +  M₂U₂ = ( M₁ +M₂ )V

= 240*6 - 12*30 = ( 240 + 12 ) V

= 1440 - 360 = 252 V

therefore ; V =  1080 / 252 = 4.28 m/s is the bird's speed.

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