A boy moves down a waterslide from a height of 10 meters. what is his velocity when he hits the water at the bottom of the slide?

Answers

Answer 1

The velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.

Velocity of the boy at the bottom of the slide

The velocity of the boy when he hits the water at the bottom of the slide is calculated from the principle of conservation of energy.

K.E = P.E

¹/₂mv² = mgh

v² = 2gh

v = √2gh

where;

h is height of the boyg is acceleration due to gravity

v = √(2 x 9.8 x 10)

v = 14 m/s.

Thus, the velocity of the boy when he hits the water at the bottom of the slide is 14 m/s.

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Related Questions

The position of a car at time t is given by the function p(t)=t2 2t−4. What is the velocity when p(t)=11? assume t≥0

Answers

The velocity when function p(t)=11 is 8 .

According to the question

The position of a car at time t  represented by function :

[tex]p(t)=t^{2} +2t-4[/tex]

Now,

When  function p(t) = 11 , t will be

[tex]p(t)=t^{2} +2t-4[/tex]

11 = t²+2t-4

0 = t² + 2t - 15

or

t² +2t-15 = 0

t² +(5-3)t-15 = 0

t² +5t-3t-15 = 0

t(t+5)-3(t+5) = 0

(t-3)(t+5) = 0  

t = 3 , -5  

as t cannot be -ve as given ( t≥0)

so,

t = 3

Now,

the velocity when p(t)=11

As we know velocity = [tex]\frac{position}{time}[/tex]

therefore to get the value of velocity from  function p(t)

we have to differentiate the function with respect to time

[tex]\frac{d(p(t))}{dt} =\frac{d}{dt} (t^{2} +2t-4)[/tex]

v(t) = 2t + 2  

where v(t) = velocity at that time

as t = 3 for  p(t)=11  

so ,

v(t) = 2t + 2  

v(t) = 2*3 + 2  

v(t) = 8

Hence, the velocity when function p(t)=11 is 8 .

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g Suppose the intensity of some electromagnetic wave doubles. What happens to the amplitude of the wave's electric field?

Answers

The amplitude of the wave's electric field is  [tex]\sqrt{2}[/tex] times if the intensity of some electromagnetic wave doubles.

What is electromagnetic wave:

Electromagnetic waves also called EM waves, are waves that are created as a result of vibrations between an electric field and magnetic field.

The formula of Intensity of electromagnetic wave:

I = 1/2 ( c* ε(0)* E(0)^2 )

where c is speed of light

E is amplitude of electric field

here Intensity of EM waves doubles so,

I' = 2*I

we can say that,

I ∝ E^2

E = sqrt ( I )

E' = sqrt ( 2*I )

hence

E' = [tex]\sqrt{2}[/tex] * E

so, the amplitude of the wave's electric field is  [tex]\sqrt{2}[/tex] times if the intensity of some electromagnetic wave doubles

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The period of a satellite, the time it takes for a complete revolution, depends on the satellite's: _________

Answers

The period of a satellite, the time it takes for a complete revolution, depends on the satellite's mass of planet and the distance of satellite form center of the planet .

According to the question

The period of a satellite, the time it takes for a complete revolution, depends on the satellite's:

1. The mass of the planet being orbited

2. The distance of the satellite from the center of the planet.

Hence, The period of a satellite, the time it takes for a complete revolution, depends on the satellite's mass of planet and the distance of satellite form center of the planet .

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An electric heater,rated 15 volts 40 watts fitted into a metal block supplies heat to the block of mass 1.5kg and specific heat capacity of 460. calculate the temperature rise of in the block if the current flows for 10 minutes

Answers

The temperature rises of in the block if the current flows for 10 minutes is, 34.78K.

To find the answer, we need to know about the power of the electric heater.

How to find the temperature rise of in the block if the current flows for 10 minutes?We have given with the variables,

                           [tex]P=40 W\\m=1.5kg\\S=460\\t=10minutes=10*60s=600s[/tex]

We have an expression the heat given to the system as,

                             [tex]P*t= mS[/tex]ΔT

We have to find the temperature rise ΔT,

                           ΔT [tex]=\frac{P*t}{mS} =\frac{40*600}{1.5*460} =34.78K[/tex]

Thus, we can conclude that, the temperature rises in the block if the current flows for 10 minute is 34.78K.

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If the current flows for 10 minutes, the temperature in the block rises by 34.78 K.

We must understand the electric heater's power in order to determine the solution.

How can you determine the block's temperature increase if the current flows for ten minutes?With the variables that we have provided,

              [tex]P=40Watts\\m=1.5kg\\s=460\\t=10 min=600s[/tex]

The heat supplied to the system is referred to as,

                    [tex]Pt=ms[/tex]ΔT

We must determine the increase in temperature, T.

             ΔT[tex]=\frac{Pt}{ms} =34.78 K[/tex]

Thus, we can infer that if the current flows for 10 minutes at 34.78K, the temperature in the block will increase.

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Provided following are four different ranges of stellar masses. Rank the stellar mass ranges based on how many stars in each range you would expect to be born in a star cluster, from highest number to lowest number.

Answers

Highest to lowest number:

-less than 1 solar mass

-between 1 and 10 solar masses

-between 10 and 30 solar masses

-between 30 and 60 solar masses

What is Stellar masses ?

Stellar mass is a phrase that is used by astronomers to describe the mass of a star.

It is usually enumerated in terms of the Sun's mass as a proportion of a solar mass ( M ☉). Hence, the bright star Sirius has around 2.02 M ☉.

Stellar masses are not fixed, although they change for single stars only on long periods.

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A planetary nebula glows because Choose one: A. it is heating up the interstellar medium around it. B. light from the central star causes emission lines. C. fusion is happening in the nebula. D. it is hot enough to emit UV radiation.

Answers

Emission lines are created by the star in the center's brightness.

A star in this kind of nebula uses UV radiation to energise the cloud's atoms. These atoms release radiation as they revert to lower energy states. It works in a manner like to a neon light. The nebula glows as a result of this.

What is Planetary nebula ?

The expelled shell of an evolved massive star is a planetary nebula.

It has a spherical shell-like shape and is made of relatively cool gas that was previously the star's outer layer. A low mass star's demise is linked to the formation of a planetary nebula. You recently reviewed 15 terms.

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Dalton's law of partial pressures states that for a mixture of gases, the pressure is the of the partial pressures of the individual gases. (assume that the gases do not react with each other.)

Answers

True. The partial pressure of gas that is made up of a mixture of gases is the sum of the individual pressure of the gases.

What is Dalton's law of partial pressure?

Dalton's law of partial pressure of gases is one of the gas laws that take into consideration the fact that a gas can be made from a mixture of non-reacting gases.

According to him, if a gas is made as such, the pressure of the gas would be the sum of the individual pressure of the component gases. This means that each gas contributes partially to the overall pressure of the gas mixture.

Thus, if gas A is a mixture of gas B and gas C. The pressure, P, of gas A is given as:

P = Pb + Pc where Pb and Pc are the partial pressure of gases B and C respectively.

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Please help!
You release a pendulum of mass 1 kg from a height of 0.75 m.
A. If there is no air resistance, how fast is the pendulum going when it reaches the bottom?
B. If the pendulum loses 18% of its initial energy by the time it reaches the bottom, how fast is it going when it reaches the bottom?
C. If the pendulum loses another 7% of its remaining energy by the time it reaches the other side, how high does it go?
D. After a few minutes, the pendulum is no longer swinging at all explain why this happens, in terms of energy.

Answers

(A) The speed of the pendulum when it reaches the bottom is 3.83 m/s.

(B) The speed of the  pendulum when it reaches the bottom after losing 18% of its energy is 3.47 m/s.

(C) The height reached by the pendulum after losing another 7% of its energy is 0.57 m.

(D) When the pendulum stops swinging, it has used all its energy to overcome frictional force of air.

Speed of the pendulum when it reaches the bottom

Apply the principle of conservation of energy;

K.E = P.E

¹/₂mv² = mgh

v² = 2gh

v = √2gh

v = √(2 x 9.8 x 0.75)

v = 3.83 m/s

Speed pendulum after losing 18% of the its initial energy

K.E = (100 -  18)P.E

¹/₂mv² = 0.82mgh

V = √(0.82 x 2gh)

v = √(0.82 x 2 x 9.8 x 0.75)

v = 3.47 m/s

Height reached when its looses another 7%

K.E = 0.5(1)(3.47)² = 6.02 J

When it losses 7% = 6.02 - (0.07 x 6.02) = 5.598 J

Height reached:

mgh = 5.598

h = 5.598/mg

h = 5.598/(1 x 9.8)

h = 0.57 m

Final energy of the pendulum

When the pendulum stops swinging, it has used all its energy to overcome frictional force of air.

Thus, the speed of the pendulum when it reaches the bottom is 3.83 m/s.

The speed of the  pendulum when it reaches the bottom after losing 18% of its energy is 3.47 m/s.

The height reached by the pendulum after losing another 7% of its energy is 0.57 m.

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A variable capacitor with a range from 12 to 279 pF is used with a coil to form a variable-frequency LC circuit to tune the input to a radio. (a) What is the ratio of maximum frequency to minimum frequency that can be obtained with such a capacitor

Answers

The ratio of maximum frequency and minimum frequency is 4.9.

Calculation:

The relation between frequency, f, and conductance, C and inductance, L is given as:

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

Given,

Cmax = 279 pF

Cmin = 12 pF

The smaller value of C gives the the larger value of f, therefore,

[tex]fmax = \frac{1}{2\pi\sqrt{LCmin} }[/tex]           ....(1)

[tex]fmin = \frac{1}{2\pi\sqrt{LCmax} }[/tex]           .....(2)

Dividing both the equations (1) and (2):

[tex]\frac{fmax}{fmin} =\frac{\sqrt{Cmax} }{\sqrt{Cmin} }[/tex]

[tex]\frac{fmax}{fmin} = \frac{\sqrt{279} }{\sqrt{12} }[/tex]

        [tex]= 4.9[/tex]

Hence, the ratio of maximum to minimum frequency is 4.9.

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Which type of fire suppression system is designed to work in areas where electrical equipment is used and contains pressurized air?

Answers

In a dry pipe sprinkler system, pressurized air or nitrogen, rather than water, is used to fill the pipes. This air maintains the closed position of a remote valve, also referred to as a dry pipe valve.

The dry-pipe valve, which is situated in a hot area, keeps water from flowing into the pipe until a fire triggers the operation of one or more sprayer. When this occurs, the dry pipe valve releases and the air leaves. After that, water enters the pipe and pours onto the flames through open sprinklers.

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An ear squeeze occurs when: Select one: The pressure inside the middle ear space is greater than ambient (surrounding) pressure. The pressure inside the middle ear space is less than ambient (surrounding) pressure. Divers forget to wear ear plugs. None of the above.

Answers

B. An ear squeeze occurs when the pressure inside the middle ear space is less than ambient (surrounding) pressure.

When external ear squeeze occurs

External ear squeeze occurs when gas trapped in the external ear canal remains at atmospheric pressure while the external water pressure increases during descent.

Thus, we can conclude that, an ear squeeze occurs when the pressure inside the middle ear space is less than ambient (surrounding) pressure.

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Hi I need help with the question in the image, step by step. ASAP!, thank you.

Answers

The heating curve is a representation of temperature change for a body with time as shown on cartesian axes.

What is a heating curve?

The heating curve is a representation of temperature change for a body with time as shown on cartesian axes.

The point A represents the steady increase in the temperature of the solid. The point B shows the point of fusion, at this point, the solid is transformed into liquid. The point C shows the temperature rise with time as the liquid is heated. The point D shows the process of vaporization which converts the liquid to gas. The point E shows when the substance now exists in the gas phase.

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How is a rainbow formed?

Answers

Answer:

easy

Explanation:

it when the sunlight hits a rain droplets ,some of the light is reflected .The electromagnetic spectrum is made of light with many different wavelengths and each is reflected at a different angle . Thus spectrum is seperated producing a rainbow

During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 0.0500 s, what was the magnitude of the average force applied to the ball

Answers

The magnitude of average force applied to the ball is 128N.

To find the answer, we need to know about the average force.

What's average force?According to Newton's law, average force= change in momentum/timeHere, change in momentum= 0.2×20-(-0.2×12) = 6.4 kg m/sTime = 0.05sAverage force= 6.4/0.05= 128N

Thus, we can conclude that the average force is 128N.

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A mass m is attached to an ideal massless spring. When this system is set in motion, it has a period t. What is the period if the mass is doubled to 2m?.

Answers

The period is √2 *T if the mass is doubled to 2m.

What is the time period?

The time period is the length of time during which an activity occurs or a condition remains.

The equation for the period T is given as:

[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]

where k is the spring constant

mass of the system = m

Here,

If the mass id doubled to 2m for the system that is set in motion,

new mass is now  2m

So the equation for time period becomes,

[tex]T' = 2\pi \sqrt{\frac{2m}{k} }[/tex]

[tex]T' = \sqrt{2} * 2\pi \sqrt{\frac{m}{k} }[/tex]

[tex]T' = \sqrt{2}* T[/tex]

Hence,

The period is √2 *T if the mass is doubled to 2m.

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____________ is the unit that measures the pressure or force that pushes the flow of electrons forward through a conductor.

Answers

Volt is the unit that measures the pressure or force that pushes the flow of electrons forward through a conductor.

When there is a circuit having a cell / battery , that cell/battery forms an electric field due to difference in voltages , and set a voltage of value equals to the difference in the voltage of two end of that cell/ battery . Because of which a electric field got set up in the conductor , which pushes electron to move inside the conductor . Unit of voltage is volt .

VOLT - A unit of electrical pressure (or electromotive force) which causes current to flow in a circuit. One volt is the amount of pressure required to cause one ampere of current to flow against one ohm of resistance. VOLTAGE - That force which is generated to cause current to flow in an electrical circuit.

Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light. In brief, voltage = pressure, and it is measured in volts (V).

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Voltage is the unit that measures the pressure or force that pushes the flow of electrons forward through a conductor.

Voltage is the electrical potential, potential difference and electromotive force in meter , kilogram, second system.The standard unit of measurement used for the expression of voltage is volt which is represent by symbol "V".

High voltage cable is used for electric power transmission at high voltage.A cable that includes conductor and insulation. cable which are considered to be fully interested. That means that they have fully rated insulted system that will consist of insulation , semi-con layers.

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A block with a mass of 2kg is pushed 20cm and a constant speed up an incline that makes a 40 degree angle with the floor. how much work is done by gravity on the block ? let d be the displacement of the block.

Answers

work done will be 2.5872 J

Given :

mass of block = 2kg

distance travelled by block = 20cm

angle of inclination = 40°

To Find :

Work done by gravity

Solution :

Gravity is defined as the force that attracts a body towards the earth or towards any other physical body having mass.

work done by gravity is mgh

If θ is the angle made when the body falls, the work done by gravity is given by,

W = m g h cosθ

W = 2 x 9.8 x 0.2 x cos40°

= 2.5872 J

So work done will be 2.5872 J

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What’s your favorite stranger things character.

Answers

Answer:

none

Explanation:

stranger mid mid mid mid

Answer:

My favorite stranger things character is Eleven also known as Millie Bobby Brown

Explanation:

I hope this helps and have a good day!

Assignment 1.4
VOLUME OF SPHERE
The radius of sphere 'r' is measured with vernier callipers as
(r+Ar)= (2.25 +0.01) cm. Calculate the volume of sphere. (47.7+0.6) cm³.
PHYSICS

Answers

you can use the graph to estimate the value of x when y is required to start a doubles match with the sun and the sky very well from her childhood and a kind young women who lives with her wearing a black and a veil and shows to be in that position or they have a bad past or bad life that they want to take revenge on every one by murder goes on by them in the streets of St and St Mary's Church and its followers are known as Sikhs and the other children claim she

A small water droplet in a mist of air is approximated as being a sphere of diameter 1.25 mil. Calculate the terminal velocity as it falls through still air to the ground.

Answers

The terminal velocity as it falls through still air is 4.65154 in/s.

The diameter of small water droplet is 1.25 mil= 1.25×0.0254×10^-3 m

                                                                            = 3.175 × 10^-5 m

Now the viscosity of still air is η = 1.83× 10⁻⁵ Pa

 So the formula for drag force is:

                Fd = 6πηrv

  where,  v is the velocity.

Now to attain terminal velocity acceleration must be zero.

            →  W = Fd

                ρVg = 6πrηv

                ρ × 4/3 πr³×g = 6πrηv

                           v = 2/9 × ρgr³/ η

                           v =  2/9 × 10³×9.81×(3.175×10^-3) / 18.6×10^-6

                           v = 0.1181  m/s

                           v = 4.65154 in/s

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Patient is in the ed due to a football hitting his nose when playing tackle football in the park. X-ray shows a displaced nasal fracture. What icd-10-cm codes are reported?

Answers

ICD-10-CM codes are -S02.2XXA, W21.01XA, Y93.61, Y92.830


S02.2 for Fracture, Traumatic/Nasal (Bone(s)), ICD-10-CM Alphabetic Index. Both the open fracture code and the dislocation code are not reported. Only the fracture code is provided if a fracture and a dislocation happen at the same place. Search for "dislocation/with fracture" in the alphabetical index to be sent to a doctor. A closed fracture is a fracture with displacement. To report the conditions leading up to the injury, external cause codes are utilized. Look for Struck (accidentally) by/ball (struck) (thrown)/football W21.01 in the ICD-10-CM External Cause of Injuries Index. Seven characters are required in the Tabular List to finish the code. For the first encounter, X is utilized as a stand-in for character number six, and character number seven is given the letter A.

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What relation can you state about the acceleration of the charge and it mass? Describe the mathematical relation, such as "directly proportional ", or "inversely proportional

Answers

Relation can you state about the acceleration of the charge and it mass is they are inversely proportional .

According to the question

Newton's second law :

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

F = m * a

a = [tex]\frac{F}{m}[/tex]  

Relation can you state about the acceleration of the charge and it mass is

According to Newton's second law of motion, acceleration is inversely proportional to the mass when the force is a constant.

The acceleration is directly proportional to the force when the mass remains constant.

Hence, Relation can you state about the acceleration of the charge and it mass is they are inversely proportional .

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A box of mass 8 kg slides across a frictionless surface at an initial speed 1.5 m/s into a relaxed spring of spring constant 69 N/m.

Answers

Time for which box will remain in contact with spring is 1.1 sec

Given:

mass of box = 8 kg

initial speed of box = 1.5 m/s

spring constant = 69 N/m

To Find:

time for which box will remain in contact with spring

Solution: The time taken to complete one oscillation is called the time period. where m is the mass, and k is the spring constant.

Time period is given as

t = π √m/k

t = 3.14 √8/69

t = 1.1 sec

So time for which box will remain in contact with spring is 1.1 sec

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Asymmetric dimethylarginine, endocan, pentraxin 3, serum amyloid A, soluble urokinase plasminogen activator receptor, total oxidant status and total antioxidant status, galectin-3

Answers

relationship between these inflammatory markers and infection.

What is Inflammatory markers ?

Recognised inflammatory biomarkers play important roles in the management of patients with for example, diagnosis, follow-up, assessment of treatment response and risk stratification

Asymmetric dimethylarginine, endocan, pentraxin 3, serum amyloid A, soluble urokinase plasminogen activator receptor, total oxidant status and total antioxidant status, galectin-3 were considered among the emerging inflammatory markersWell-known inflammatory markers included complete blood count, C-reactive protein, albumin, cytokines and erythrocyte sedimentation rate.

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A sound wave traveling through dry air has a frequency of 16 hz, a
wavelength of 22 m, and a speed of 350 m/s. when the sound wave passes
through a cloud of methane, its wavelength changes to 28 m, while its
frequency remains the same. what is its new speed? (the equation for the
speed of a wave is v= f * 1.)

Answers

Answer:

[tex]\huge\boxed{\sf v = 448\ m/s}[/tex]

Explanation:

Given data:

Frequency = f = 16 Hz

Wavelength = λ = 28 m

Required:

Speed = v = ?

Formula:

v = fλ

Solution:

Put the givens.

v = (16)(28)

v = 448 m/s

[tex]\rule[225]{225}{2}[/tex]

The galaxy M33 is the third largest galaxy in the Local Group after M31 and the Milky Way. The galaxy M33 has a moderate-sized central bulge and two spiral arms that emerge directly out of the bulge and wrap around in rather poorly defined arcs with many cross-connections between the arms. Thus, M33 is classified as a _____ normal spiral.

Answers

Galaxy M33 is classified as a Triangulum normal spiral.

The galaxy M33 is the third largest galaxy in the Local Group after M31 and the Milky Way. The galaxy M33 has a moderate-sized central bulge and two spiral arms that emerge directly out of the bulge and wrap around in rather poorly defined arcs with many cross-connections between the arms.

This spiral galaxy is located in the triangle shaped constellation earning a pet name as triangular galaxy. This galaxy star formation rate is ten times higher than average found in Andromeda galaxy.  It has relatively bright apparent. This galaxy was given by Charles Messier and he classified it as Triangulum normal spiral.

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Which of the following objects is composed mostly of wood?
A. Sweater
B. Tile
C. Pencil
D. Brick

Answers

C
Pencil is mostly wood, only the tip is lead

❄ Hi there.

a pencil is composed mostly of wood.

Let's check if the other choices are right.

A. Sweaters are not made of wood

B. Tiles are not made of wood

C. Pencils are made of wood

D. Bricks are not made of wood

∴ the right choice is C.

A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0 m from the wall. The ladder weighs 160 N. The coefficient of static friction between the foot of the ladder and the ground is 0.40. A man weighing 740 N climbs slowly up the ladder.

Answers

The only vertical forces acting on the wall are the weights of the man and the ladder as well as the normal force because the wall has no friction.

The maximal frictional forces are μsN2=(0.40)(900N)=360N, and N1=w1+wm=160N+740N=900N for the vertical forces to balance. At a height of 4.0 meters above the ground, the ladder makes contact with the wall. about the point of contact with the ground, balancing torques.

N2 = 174.0N because (4.0m)2 = (1.5m)(160N) + (1.0m)(35)(740N) =684N.m. It is necessary for the frictional force to counteract this horizontal force. Setting the frictional fore and n1 to a maximum of 360N and solving for the distance x along the ladder (0.4m)(360N)=(1.50m)(160N)+x(35)(740N) yields x=2.70m

Friction

When two sliding solid surfaces, fluid layers, or material components come into contact with one another, friction acts as a force to stop them from moving in the same direction. Friction comes in several forms:

The relative lateral motion of two solid surfaces in contact is opposed by dry friction. Between moving surfaces, there is kinetic friction, which is different from static friction. With the exception of atomic or molecule friction, asperities on the surface interact to produce dry friction.

When layers of a viscous fluid move in relation to one another, there is friction between them. This is known as fluid friction.

When a lubricant fluid separates two solid surfaces, it is called lubricated friction.

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7. A 0.5-kg puck is traveling at 3.0 m/s. It strikes a 1.0-kg puck, which is
stationary. The two pucks stick together. What is their final speed after
collision?
A. 1.0 m/s
OB. 2.0 m/s
OC. 2.5 m/s
OD.3.0 m/s
*
1 point

Answers

Answer:

A

Explanation:

m1vi1 + m2vi2 = (m1+m2)vf

(0.5×3) + (1×0) = (1 + 0.5)vf

1.5=1.5vf

therefore final speed/velocity is 1m/s

m = mass

vi = velocity initial

vf = velocity final

Which element of a valid contract is established by getting the signatures of all parties?

Answers

The element of a valid contract which is established by getting the signatures of all parties is mutual agreement

What is an element of a valid contract?

An element of a valid contract simply refers to that promise made between two or more parties that which allow the courts to make judgement.

Some elements of valid contract are:

OfferAcceptanceConsiderationIntention to create legal relationCertainty and capacity.

So therefore, the element of a valid contract which is established by getting the signatures of all parties is mutual agreement

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