A 37 kg child jumps in the air. At the maximum height of the jump, the GPE is 500J. If the mass of the boy is tripled, how much Potential Energy does the child have at the top of his jump? If the same boy's mass is doubled, but his height is quadupled, how much Potential Energy does the child have at it's maximum and in what position in the jump will he be?

Answers

Answer 1

Answer:

*Answers are in their respective order with the questions.

[tex]1500\:\mathrm{J},\\4500\:\mathrm{J},\\5.52\:\mathrm{m}[/tex]

Explanation:

The [gravitational] potential energy of an object is given by [tex]PE=mgh[/tex], where [tex]m[/tex] is the mass of the child, [tex]g[/tex] is acceleration due to gravity, and [tex]h[/tex] is the height of the object (relative to the ground).

"If the mass of the boy is tripled, how much potential energy does the child have at the top of his jump?"

Without actually plugging and chugging, notice the formula in which gravitational potential energy is given. Potential energy is directly proportional to mass. Therefore, if the mass of the boy is tripled, his potential energy will also be tripled, yielding an answer of [tex]500\cdot 3=\boxed{1500\:\mathrm{J}}[/tex]

"If the same boy's mass is doubled, but his height is quadrupled, how much potential energy does the child have at its maximum and in what position in the jump will he be?"

In similar fashion to the first question, we can note that the potential energy of an object is directly proportional to its mass and height. Therefore, if the boy's mass is doubled and his height is quadrupled, his potential energy will be [tex]2\cdot 4=8[/tex] times as large at maximum height. Thus, he will have [tex]500\cdot 8 =4,000\:\mathrm{J}[/tex] of potential energy at the maximum height. I'm assuming that "in what position in the jump will he be?" is asking for the height at the maximum height of the jump.

The original height can be solved using:

[tex]PE=mgh,\\500=37\cdot 9.8\cdot h,\\h=\frac{500}{37\cdot 9.8}=1.37892995036\:\mathrm{m}[/tex]

Quadrupled implies being multiplied by four. Therefore, we have:

[tex]h'=1.37892995036\cdot 4=5.51571980143\approx \boxed{5.52\:\mathrm{m}}[/tex]


Related Questions

Two people push a box, both in the same
direction; to the right. One person at 100N and
the other at 200N, what is the net force?

Answers

Answer:

300N

Explanation:

If both people push the box in the same direction the force applied to the box is the sum of the N from both peoplef:

100N + 200N = 300N

Can you please help me?

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Answer:

Law of reflection

Explanation:

According to the laws of reflection,

Incident ray, reflected ray and normal lie on the same plane.

Angle of reflection and angle of incidence are always equal.

Angle of reflection : Angle of which light rays reflect off surface.

Angle of incidence : Angle at which light rays strikes the surface.

Answer: reflection

Explanation:

You weigh a bear by making him stand on four scales as shown. Draw a free-body diagram showing all the forces acting on the bear. If his weight is 1,500 newtons, what is the reading on
the fourth scale?

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Answer:

what a fat bear I love physics

How much current is present if you have a line with 0.0001 C of charge running every 0.17 s?

Answers

Answer:

Q=it

where Q=Charge

i= Current

t=time

i=Q/t

= 0.0001/0.17

=5.88x10-⁴Amperes

What is the magnitude of kinetic energy of a 20kg box moving at a velocity of 8m/s

A. 160 J

B. 80 J

C. 640 J

D. 1280 J

Answers

Answer:

Explanation:

[tex]KE=\frac{1}{2}mv^2[/tex] and we are solving for KE:

[tex]KE=\frac{1}{2}(20)(8)^2[/tex] which gives us that

KE = 640 J, choice C.

if displacement covered by a particle is zero then distance cover by it

Answers

Answer:

When displacement is zero, the particle may be at rest, therefore, distance travelled = 0.

Again, when displacement is zero, the final position matches with the initial position after some time, but the distance travelled will not be zero.

What is exothermic .Is it a reaction?

Answers

Answer:(of a reaction or process) accompanied by the release of heat.

Explanation: trust moi

Exothermic is a reaction, it is a process that objects or substances go through when releasing heat.

What is the name of the shuttle with 134 successful launches

Answers

The name is Endeavour

International space station is the mission of NASA. It has launched 134 successful space missions.

What is International Space Station ?

International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others

What is NASA ?

The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.

To know more about NASA and  International space station.

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Dr. Eriksson is working on a material called selenium. She is adding a certain number and type of atoms to the selenium, which will control conductivity. Selenium is most likely what kind of material?

Answers

Answer:

Selenium is a semiconductor

Explanation:

Selenium is a semiconductor.

Elements in the column IV and VI of the periodic table are referred to as Semiconductor.

Selenium lies in the column VI along with Tellurium

Some other elements of the column IV are silicon, germanium, and tin

Answer:

semiconductor

Explanation:

What is the voltage drop across the 30 q resistor?
A. 120 v
B. 30 V
c. 2 v
D. 60 V​

Answers

Answer:

120v 120v 120v 120v 120v

1. Explain and find the volume of the round pan rounded to the nearest tenth.

2. Explain and find the volume of the rectangular pan rounded to the nearest tenth.

3. Explain how the volume of the two cake pans compare.

4. The cake density is 0.454 ounce per cubic inch and the fair price is $0.20 per ounce. What should be a fair price for each cake?

Answers

Explanation:

1. Given,

Diameter of the round pan = 8in

Radius of the round pan = 8/2 = 4in

Height of the round pan = 2in

Therefore,

Volume of the round pan

[tex]\pi {r}^{2} h[/tex]

[tex] = 3.14 \times 4in \times 4in \times 2in[/tex]

[tex] = 100.48 {in}^{3} [/tex]

When rounded to nearest tenth,

[tex] = 100.5 {in}^{3} (ans)[/tex]

2. Given,

Dimensions of the rectangular pan = 12in, 8in, 2in

Therefore,

Volume of the rectangular pan = breadth × height × length

= 12in × 8in × 2in

[tex] = 192 {in}^{3} [/tex]

When rounded to nearest tenth,

[tex] = 192.00 {in}^{3} [/tex]

[tex] = 192.0 \: or \: 192 {in}^{3} [/tex]

3. Volume of round pan

[tex] = {100.5in}^{3} [/tex]

Volume of Rectangular pan

[tex] = 192 {in}^{3} [/tex]

Hence,

Their difference of volume will be ,

[tex] = (192 - 100.5) {in}^{3} [/tex]

[tex] = 91.5 {in}^{3} (ans)[/tex]

4. In this case we must know either the mass of the cake or its volume.

Given the case that we know the mass of the cake, it would be:

price = x * 0.2

where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:

price = 10 * 0.2 = 2

which means that each cake costs $ 2

Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.

price = x * 0.454 * 0.2

where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:

price = 10 * 0.454 * 0.2 = 0.908

which means that each cake costs $ 0.9

How can spectroscopy and infrared technology be useful in space?

(A)They can enhance speed by making spacecraft fuel more efficient.
(B)They can measure magnetic fields produced by astronomical bodies.
(C)They can provide an emergency escape to the astronaut from a space center.
(D)They can determine the elements that make up the surface of astronomical bodies.

Answers

Answer:

B

Explanation:

Spectroscopy measures electromagnetic radiation.

Your Answer Is...

B) They can measure magnetic fields produced by astronomical bodies.

Why do white gassy stuff come out of planes?

Answers

Answer:

Jets leave white trails, or contrails, in their wakes for the same reason you can sometimes see your breath. The hot, humid exhaust from jet engines mixes with the atmosphere, which at high altitude is of much lower vapor pressure and temperature than the exhaust gas.

Explanation:

Hopes this helps. Mark as brainlest plz!

What is a specific heat capacity of air in calorie per gram Celsius?​

Answers

Answer:

I dont know hehe

Explanation:

Sakit na ulo ko.

Un cuerpo con un peso de magnitud igual a 200 N cuelga sobre dos cuerdas que forman un ángulo de 140° entre ellas. Determina la magnitud de la fuerza que ejerce cada cuerda sobre el cuerpo.

Answers

Answer:

T = 292.4 N

Explanation:

For this exercise we must use the translational equilibrium condition

         ∑ F = 0

Since force is a vector magnitude, the easiest way

Since the angle between the two forces is 140, the angle from the vertical is half tea = 70

        cos θ = T_y / T

        sin θ = Tₓ / T

        T_y = T cos 70

        Tₓ = T sin 70

X axis

        Tₓ₁-Tₓ₂ = 0

        Tₓ₁ = Tₓ₂

Y axis  

        T_y + T_y - W = 0

        2 T cos 70 = W

        T = [tex]\frac{W}{2 \ cos 70}[/tex]

let's calculate

        T = 200/2 cos 70

        T = 292.4 N

define atomic radius

Answers

Answer:

The atomic radius of a chemical element is a measure of the size of its atoms, usually the mean or typical distance from the center of the nucleus to the boundary of the surrounding shells of electrons.

Explanation:

The atomic radius of a chemical element is a measure of the size of its atoms, usually the mean or typical distance from the center of the nucleus to the boundary of the surrounding shells of electrons.

Hope It Helps!

a rod of zinc has a mass of 5kg. in water it weighs 25 N. what is the buoyant force on it when it is submerged in water?

Answers

Answer:

If it has a mass of 5 kg its weight is 5 kg * 9.8 m/s^2 = 49 N

Weight in air = 49 N

Weight in water = 25 N

Buoyant force provided by water = 49 - 25 = 24 N

Convection is the transfer of heat energy by:

A Molecular contact
B Electromagnetic waves
C Density Differences
D Movement through a vacuum

Answers

the answer is a molecular contact I am pretty sure

You have set up a circuit that uses one battery to light two bulbs. One of the bulbs burns out, causing the other bulb to turn off. Explain why this happens. PLS HELP DUE IN 50 MINSSS

Answers

a break in the circuits flow electricity isn’t transferring through i wanna say

Which of the following is true

Answers

Answer:

E

Explanation:

Depending on how there used, pulleys can have different uses. One use for pulleys is that they can...

A. Increase the total work needed
B. Decrease the total work needed
C. Change the direction of a force
D. Roll things down a ramp​

Answers

I think it’s D hope that helped

Which of the following statements is CORRECT?

Question options:

A. Sounds that differ in frequency differ in amplitude.

B. Sounds that differ in loudness are said to differ in quality.

C. The speed of sound in air at 20ºC is 330 m/s .

D. Sound does not require a medium in order to travel through

E. Sound waves are an example of longitudinal waves.

Answers

Answer:

E.) Sound Waves are an example of longitudinal waves.

Explanation:

I was sure either A or E was correct so I had to look it up. In reference to three sources, it is proven that sound waves are longitudinal. Therefore, without a doubt, I would try to go with E. I know D is wrong as well as B most definitely. That is because sound always requires a medium to travel through in order to be heard; additionally sounds don't necessarily have to be a certain rate of loudness in order to be considered of different quality. Therefore leaving you with A, C, or E. Additionally C is a false fact as well. So I highly suggest choosing E because there is sufficient sources to prove that. I'll provide a direct link down below.

https://www.bing.com/search?q=are+sound+waves+longitudinal+waves&cvid=fc17d9f3f744496da334cf10a7daad57&aqs=edge..69i57l2j69i60j5j69i61j69i60l2.5395j0j1&pglt=2339&FORM=ANNTA1&PC=NMTS

The correct statement is sound waves are an example of longitudinal waves.

Which is an example of the longitudinal wave?

In a longitudinal wave, the particles are displaced parallel to the direction the wave travels. An example of longitudinal waves is compressions moving along a slinky. We can make a horizontal longitudinal wave by pushing and pulling the slinky horizontally.

Is sound a longitudinal wave?

Sound is a longitudinal wave that alternately compresses and decompresses the component particles of the medium through which it travels.

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the end
ons.
descr
write
al
intro
defin
confi
defin
neutr​

Answers

put it in good terms okay

Answer:

good terms hope helpful answer to your question

Name the component used in electric circuits that is sensitive to temperature

Answers

Answer :

Tungsten filament

A 10- kilogram box is at static equilibrium and the downward pull of gravity acting on the box is 98 Newton's what is the minimum force that would be required to just pick up the box ?

Answers

Answer:

Explanation:

Now

Look at it this way. This box is in equilibrium... Meaning forces around balanced out.

Now...

The Earth's pull on it is 98N

What Minimum external forces is needed to pick this up....

Now... The Minimum Force is 98N

Why?

Since This Box is under the influence of gravity...

Gravity is acting as a resistance

If you apply a force less than 98N... Let's say 50N on this box... It won't budge because your applied force is less than the resisting force on it(98N).

So We need a force ≥98. So the least force is 98N. Nothing below this will move the Box

Answer 98N.

Answer:

See image

Explanation:

Plato

A hockey stick stores 4.2 J of potential energy when it is bent 3.1 cm. Treating the hockey stick as a spring, what is its spring constant

Answers

Answer:

Spring constant, k = 8740.89 N/m

Explanation:

Given the following data;

Potential energy = 4.2 J

Extension, e = 3.1 cm to meters = 3.1/100 = 0.031 m

To find the spring constant;

Mathematically, the potential energy stored in a spring is given by the formula;

[tex] P.E = \frac {1}{2}Kx^{2} [/tex]

Where;

P.E is potential energy.

K is the spring constant.

x is the extension of the spring.

Substituting into the equation, we have;

[tex] 4.2 = \frac {1}{2}*k*0.031^{2} [/tex]

Cross-multiplying, we have;

[tex] 8.4 = k*0.000961 [/tex]

[tex] k = \frac {8.4}{0.000961} [/tex]

Spring constant, k = 8740.89 N/m

hello random people who use this app

Answers

Answer:

Hello stranger I don't know

Explanation:

._____.

Answer:

hi stranger lol

Explanation:

A moon orbits a planet in a nearly circular orbit of radius R, as shown in the figure. Which of the following free-body diagrams could be used to analyze the forces exerted on the moon when it is at the position indicated in the figure?​

Answers

I don't see any free body diagrams.

Free body diagram of a moon orbits a planet in a nearly circular orbit of radius R, as shown in the figure is attached in the answer. This could be used to analyze the forces exerted on the moon when it is at the position indicated in the figure.

What is free body diagram?

Free-body diagrams are used to display the relative strength and direction of all forces that are being applied to an item in a certain scenario. A unique illustration of the vector diagrams that were covered in a previous lesson is the free-body diagram. We will make use of these graphics throughout our study of physics. In a free-body diagram, the size of the arrow indicates the strength of the force.

The force is acting in the direction indicated by the arrow's direction. The exact type of force is labelled next to each force arrow in the diagram. In a free-body diagram, it is common practice to depict the item as a box and to draw the force arrow from the box's center outward in the direction that the force is acting.

Learn more about free body diagram here:

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write any two different between work and power?​

Answers

Answer:

1. Work Is a type of Physical Activity  

2. Power is Basically Having control of Society

Explanation:

The SI unit of work is Joule. Power is defined as the amount of energy transferred in unit time.
...
Difference between Momentum and Inertia.

How much energy is needed to raise the temperature of a 2 g piece of iron from 20 degrees C to 120 degrrees C

Answers

Answer:

the amount of energy needed to raise the temperature of the iron is 90 J.

Explanation:

Given;

mass of the iron, m = 2 g

initial temperature, t₁ = 20⁰ C

final temperature, t₂ = 120⁰ C

specific heat capacity of iron, c = 0.45 J/g⁰C

The amount of energy needed to raise the temperature of the iron is calculated as follows;

H = mcΔt

H = mc(t₂ - t₁)

H = 2 x 0.45 x (120 - 20)

H = 90 J

Therefore, the amount of energy needed to raise the temperature of the iron is 90 J.

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