a ball is launched with an initial velocity of 10 m/s at an angle of 45 degrees follows a parabolic path and hits a balloon at the top (peak) of its trajectory (path). neglecting air resistance, how fast is it going when it hits the balloon? (both horizontally and vertically)

Answers

Answer 1

The speed of the ball that is launched into a parabolic path after it hits the balloon is 7.07 m/s.

Given that,

Initial speed of the ball = 10 m/s

Angle at which the ball is launched = 45°

The path of the ball which hits the balloon at the top of its flight follows a  parabolic trajectory

The horizontal component of the velocity is vₓ = v* cos(θ)

The vertical component of the velocity is vy =  v* sin(θ)

vₓ = 10 × cos(45°) = 7.07 m/s

vy =  v* sin(45°) = 7.07 m/s

Thus, the horizontal and vertical speed with which the ball hits the balloon is vₓ = vy = 7.07 m/s.

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Related Questions

Two plasticine balls have a mass of 30 g and 15 g. The balls inelastic collided, moving towards each other at speeds of 2 m / s and 3 m / s, respectively. Determine the speed of the balls after the collision. How much has the kinetic energy of the system changed after their collision?

Answers

The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J

What is inelastic collisions?

Inelastic collision occur when only the momentum is conserved but there is loss in kinetic Energy.

This means that the momentum before collision is equal to the momentum after collision.

therefore m1v1+(-m2v2) = (m1+m2)v . where v is the common velocity after collision. The negative sign shows that they are moving in opposite direction.

m1= 30g = 0.03kg

m2 = 15g = 0.015kg

v1 = 2m/s

v2 = 3m/s

0.03× 2- 0.015× 3= (0.03+0.015)v

0.06-0.045= 0.045v

0.015= 0.045v

divide both sides by 0.045

v = 0.015/0.045

v= 0.33m/s

the kinetic energy before collision = ½×0.03×2²+½×0.015×3²

= 0.06+0.068= 0.128J

kinetic energy after collision = ½× 0.045× 0.33² = 0.0025J

loss in kinetic energy= 0.128J -0.0025J = 0.126J

therefore the The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J

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Use your own personal example of a decision you made and write a reflection
about ethical reasoning. Please keep in mind that your classmates will be seeing
this post. Don't choose a decision that is too personal for others to read. Discuss
the following questions in your reflection:
What if everyone made decisions like this?
What if you were the "other person" in your problem? How would you feel about
your decision?
What if you were in a different but similar situation? Would your decision be
different?
Comment on some of the entries of your classmates. Refer to the discussion rubric
for guidance.

Answers

Answer:

Use the own word element

Explanation:

Dont choose a decision that is too personal for others to read.

ased on what you know about meteorites, select all of the correct statements from the following list. Most meteorites come from asteroids. Iron meteorites come from the cores of larger objects. Some stony meteorites resemble cooled lava Like most meteorites, stony meteorites come from comets and asteroids. Stony meteorites come from the outer layers of larger objects Iron meteorites cooled from their molten state very quickly Most meteors come from comets.

Answers

The correct statements are Stony meteorites come from the outer layers of larger objects and Most meteors come from comets.

In geologic terms, it is the crust of our planet, which is described in a dictionary as "the outermost solid layer of a planet or moon." Because it contains a lot of oxygen and water, our planet's outer crust is very unique compared to that of other solar system bodies. Rain, wind, and ice have continuously shaped and changed the surface of our planet.The Earth's crust is made up of sedimentary rocks, many of which are abundant in fossils, or the remains of extinct life forms, but no evidence of life on other planets has yet been found in these rocks.The most typical type of meteorite, stony meteorites, typically contain 75 to 90 percent silicon-based minerals, 10 to 25 percent nickel-iron alloy, and minute amounts of iron sulfide.Stony meteorites fall into two different categories and make up roughly 94% of observed meteorite falls that are Chondrites and Achondrites.

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a gas is in a container with a piston lid and is taken from thermodynamic state, 1, to a new thermo-dynamic state, 2, by several different paths, a, b, and c, in the p-v plane. the internal energy of the gas increases during the process. the work done by the gas is largest for path

Answers

The area under the curve in a PV-diagram represents the work done to the gas. If the area is maximum, the amount of work completed will be the highest. In this scenario, area is maximal when we take path A.

The related changes in volume and pressure in a system are represented by a pressure-volume diagram, also known as a PV diagram or a volume-pressure loop.

Thermodynamics, cardiovascular physiology, respiratory physiology, all frequently use them. The fourth and the most basic state of matter is gas. Its possible for atoms to make up a pure gas.

W = P* change in volume = 1.7 * 1.01 * 5.8 * 105 is the formula for the work completed.

W = 9.96 * 10⁵ J

The question is incomplete. The diagram is missing in the question. It is attached to this answer.

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what happens to a light wave that hits the surface of a pool

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When a light wave hits the surface of a pool, some of the light will be reflected off the surface, while the rest will be absorbed by the water and pass into the pool. The angle at which the light hits the surface will determine how much light is reflected and how much is absorbed. If the light hits the surface at a perpendicular angle (90 degrees), most of the light will be reflected, resulting in a strong, sharp reflection on the surface of the pool. If the light hits the surface at a shallow angle (less than 90 degrees), more of the light will be absorbed by the water, resulting in a weaker or distorted reflection on the surface.

The light that is absorbed by the water will continue to travel through the water, but its intensity will decrease as it travels. This is due to a process called absorption, where the water molecules absorb the energy from the light and convert it into heat. The deeper the light travels into the pool, the more the water will absorb the light, and the dimmer the light will become.

Additionally, the light that enters the pool may be scattered by particles or other objects in the water, which can cause the light to spread out and become less focused. This can cause the light to appear blurry or distorted when viewed from different angles. The color of the light may also be affected by the water, as different colors of light have different wavelengths and are absorbed by the water at different rates. This can cause the light to appear different colors when viewed from different depths in the pool.

a refrigerator is used to cool 3 litres of soft drink from room temperature (23 degrees celcius) down to 5 degrees celcius.

1) If the density of the soft drink is 1015 kg/m cubed, calculate the mass of the soft drink.

2) How much heat energy must be removed in order to cool the soft drink if its specific heat capacity is 4150 J/kg degrees celcius?

Answers

The mass of the soft drink is 3.05 kg.

The heat energy must be removed in order to cool the soft drink is 227,835 J.

What is the mass of the soft drink?

The mass of the soft drink is calculated by applying the following formula.

m = ρ V

where;

ρ is the density of the soft drink = 1015 kg/m³V is the volume of the soft drink = 3 Liters = 0.003 m³

m =  1015 kg/m³ x 0.003 m³

m = 3.05 kg

The heat energy must be removed in order to cool the soft drink is calculated as;

Q = mcΔθ

where;

c is specific heat capacityΔθ is change in temperature

Q = mcΔθ

Q = 3.05 x 4150 x (23 - 5)

Q = 227,835 J

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What is the change in internal energy if 30 J of heat are released from a
system and the system does 50 J of work on its surroundings?
Use AU = Q-W.
A. 80 J
B. -80 J
C. 20 J
D. -20 J

Answers

I think it would be B- -80 J

Answer:

Explanation:

Given:

Q =  30J   (The system did not prepare energy, but allocated)

W =  + 50 J  (System operation)

__________________

ΔU - ? (Change in internal energy)

ΔU = Q - W =  30 - (50)  = - 20J

Compare and contrast the ways magnetic poles interact with the ways
electric charges interact

PLEASE HELP ME .

Answers

In the electric field, the like charges repel each other, and the unlike charges attract each other, whereas in a magnetic field the like poles repel each other and the unlike poles attract each other.

What are electric and magnetic field?

Electric field is a region or space around a conductor where electric force can be felt. While magnetic field is the region or space around a bar magnet where magnetic force can be felt. Electric and magnetic force are both force field and they are both vector field.

In electric field, like charges repel and unlike charges attract similarly like poles repel and unlike poles attract in magnetic field.

One difference between magnetic poles and electric charges is that magnetic pole always appear on a magnet as north and south pole but a single entity of charge can exist.

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A student plans to investigate how different factors affect the rotation rate of a hand-made motor when connected to a battery. The student will test a different variable in each investigation: the voltage of the battery (V), the number of loops used in the wire coil, and the number of magnets used below the loops. The first table shows details and predictions for investigation 1. How should the student design investigation 3 to finish testing the factors that affect the rotation rate of a motor?

Answers

The student should continue investigation as previous ones but increase the number of magnets.

In this investigation,

keep the voltage of battery constantkeep the number of loops constantchange the number of magnets

The rotation rate depends on voltage , number of loops and number of magnets.

In investigation 1 , voltage is changed keeping others constant.

In investigation 2 , number of loops is changed.

So in Investigation 3 , number of magnets should be changed.

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what materials can I use in an egg drop project to show equal forces acting in the opposite direction? And to show The acceleration of an object is connected to the force which is acting on it.

please respond to both of them and give the best answer possible
thank you

Answers

Answer:

Two coins.

Explanation:

place the at the sharp point

How do you add non-collinear vectors?

Answers

Answer:

To add two non-collinear vectors, you first need to draw them on a coordinate plane so that their tails are at the same point. Then, you can use the "tip-to-tail" method to add the vectors. This involves drawing a vector from the tail of the first vector to the tip of the second vector, and this new vector is the sum of the two original vectors.

For example, if you have two non-collinear vectors, A and B, and you want to find their sum, you would first draw them on a coordinate plane so that their tails are at the same point. Then, you would draw a vector from the tail of vector A to the tip of vector B. This new vector, which is the sum of vectors A and B, is the result of adding the two vectors.

To calculate the sum of the vectors using the tip-to-tail method, you would simply add the x and y components of the two vectors separately. For example, if vector A has an x component of 3 and a y component of 4, and vector B has an x component of 5 and a y component of 6, the sum of the two vectors would be a vector with an x component of 8 and a y component of 10.

It's important to note that the sum of two non-collinear vectors is not necessarily a non-collinear vector. The sum of two non-collinear vectors can be a non-collinear vector, a collinear vector, or a zero vector (if the two original vectors are opposites of each other).

technology is the universe of tools, means, and methods through which we interact with our environment. true

Answers

Technology is the universe of tools, means, and methods through which we interact with our environment. [TRUE]

Benefits of Technology in Everyday Life

Apart from being divided into several types, technology will then provide many benefits in all fields.

1. Easy to receive information

The first positive side of technological development is the ease of receiving information, both locally and internationally. Unlike in the past, in this modern era, we don't have to bother buying newspapers.

2. Easy to communicate

With the messaging application that can send messages, both voice messages and text messages as well as telephone, which will then make it easier to communicate. Unlike the past, communication still has to be through letters and you have to send it to the post office. This letter cannot directly reach the recipient of the letter. It also requires quite expensive costs and takes a long time.

3. More Practical Shopping

In the past we had to go to the market or other shopping places and it took a long time. It's different from now, you can simply order various needs just by using an online shopping application. Then pay for it and wait for the order to arrive at home without the hassle of leaving the house.

4. Learning becomes easier

In the past we had to buy thick books and cost a lot. Right now you only need to buy ebooks, although not a few are paid, but there are many e-books that you can get for free. Besides being able to read books easily, the rapid development of technology will then facilitate the teaching and learning process. Especially during a pandemic like this. The benefits of this technological development are also very necessary for students and teachers who teach.

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The zebra (herbivore) population i exploding in the avannah. At the ame time, population of many mall animal that live in the Red Gra that zebra eat are beginning to die out. Why do you think population of thee mall animal are dying out? What could we do to help prevent thee mall animal from going extinct?

Answers

The zebra population is likely increasing because there is an abundance of food available in the savannah.

This is likely putting pressure on the small animal populations in the Red Gra, as zebra are competing for the same food sources.

To help prevent the small animal populations from going extinct, we could establish a protected conservation area for the small animals and limit the number of zebra that can graze in the area.

Additionally, we could introduce more vegetation to the savannah to provide more food sources for both the zebra and the small animals. This could help reduce competition between the two groups and create a more sustainable environment for all species.

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intermediate level a 30 micro f capacitor is connected to a 9 v battery calculate the charge on the capicot

Answers

When a 30 micro of capacitor is attached to the a 9 v battery at its intermediate level, the equation states that 2.7μC is the charges on the capacitor.

What is the basic principle of a capacitor?

A capacitor operates on the basis that capacitance of the a conductor exhibits rise when a grounding conductor is introduced near it. As a result, the capacitance has parallel plates that are spaced apart from one another and facing in opposing directions.

What is a capacitor used for?

Two conductors that are separated from one another and positioned close to one another make up a capacitor, a electrical energy storage device. A parallel-plate capacitor is a simple example with one such storage device.

Briefing:

If we rearrange the previous formula to account for C=30F and V=9v in our issue, we can calculate the charge held in the capacitor:

             Q=CV

                =(30μF) (9v)

                =2.7μC

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What can be done to increase the amount of friction between two surfaces in contact? Provide 2 real life examples.

Answers

Two real life examples of increasing friction are: tires of car are made rough to increase the friction and when a ground becomes slippery after rain then it is made rough by using sand to increase friction.

How can we increase friction between two surfaces?

Friction can be increased by : making the surfaces rough, pressing the surfaces harder against each other, increasing normal force, using sliding motion rather than rolling motion and increasing contact surface area.

When we walk on the ground or the floor then  it is the frictional force only that is responsible for holding our feet to the ground. On slippery surfaces or ice, the friction is less, therefore we tend to slip on these surfaces.

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What is the frequency of a wave with wavelength of 200 meters that is traveling at 5,000m/s

Answers

Among electromagnetic waves, UV rays are most dangerous because exposure to these radiation cause serious problems in living organism. Therefore, the frequency of wave is 25 Hz.

What is electromagnetic wave?

Electromagnetic wave is a wave which contain two component one is electric component and other is magnetic component. The electric and magnetic component are perpendicular to each other. There are so many wave that comes under electromagnetic wave like infrared wave , radio wave

speed of wave= distance travelled by wave ÷ time taken by the wave

speed of wave=  5,000m/s

distance travelled by wave = wavelength of wave = 200 meters

Substituting all the given values in the above equation, we get

5,000m/s=  200 meters ÷ time taken by the wave

time taken by the wave= 0.04 s

Frequency = 1 ÷time taken by the wave

                  = 1÷0.04

                  =25 Hz

Therefore, the frequency of wave is 25 Hz.

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1. Calculate the elastic potential energy when a spring with a spring constant of 15 N/m is extended by the
following amounts:
a) 1 m
d) 15 m
g) 0.3 m
b) 125 cm
e) 13 m
h) 12 m
c) 99 m
f) 120 cm
i) 0.05 km

Answers

The elastic potential energy will be =

For a)  7.5J

For d)  1687.5J

For g)  0.675J

For b) 11.718J

For e) 1267.5J

For h) 1080J

For c)  73507.5J

For f)  10.8J

For i)  18750J

According to the formula for calculating elastic potential energy,

Elastic potential energy (u) = 1/2 x spring constant x [tex](amount of extension)^{2}[/tex]

Let was calculate the value of 1/2 x spring constant to simplify the equation = 1/2 x 15 = 7.5

for a) 7.5 x [tex]1^{2}[/tex] = 7.5J

for d) 7.5 x [tex]15^{2}[/tex] = 1687.5J

for g) 7.5 x [tex]0.3^{2}[/tex] = 0.675J

for b) 7.5 x [tex]1.25^{2}[/tex] = 11.718J

for e) 7.5 x [tex]13^{2}[/tex] = 1267.5J

for h) 7.5 x [tex]12^{2}[/tex] = 1080J

for c) 7.5 x [tex]99^{2}[/tex] = 73507.5J

for f) 7.5 x [tex]1.2^{2}[/tex] = 10.8J

for i) 7.5 x [tex]50^{2}[/tex] = 18750J

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Here is the answer for ur question

a wire with fundamental frequency 357 hz and length 0.54 m is under tension of 1,373 n. calculate the wire's mass per unit length in grams/meter.

Answers

When fundamental frequency, length and tension is given then the wire's mass per unit length is 9.23 * 10 ^-3 g/m.

What is fundamental frequency?

The fundamental frequency is defined as the lowest frequency of a periodic waveform. Fundamental frequency is defined as the average number of oscillations per second and is expressed in Hertz.

Given ; length , l= 0.54m Tension, T = 1373N

Frequency , f = 357 Hz

f= (1/2l)*(√T/m)

m = T/(4l² f²)

= 1373/(2*0.54² * 357²)

m= 9.23 * 10 ^-3 g/m

The wire's mass per unit length in grams/meter is 9.23 * 10 ^-3 g/m.

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Students conducted a pendulum experiment to demonstrate the conservation of
energy principle. The diagram shows the pendulum at different points of its swing.
Which number(s) on the diagram would correspond to the point(s) of the pendulum's
swing with the least kinetic energy?

Answers

Answer:

1 and 5

Explanation:

Kinetic energy is the energy that an object possesses due to its motion. Since the pendulum has 0 velocity at points 1 and 5, and it is at those points that the pendulum is furthest from its equilibrium position, we say that it has no kinetic energy and maximum potential energy.


a. If there is to be no relative motion between the train and the edge of the platform, how fast must
the train move compared to the rim speed of the rotating platform?
b. Why is the stairway located at the center of the platform?

2. The design below shows a train that makes round trips from Station A to Station B in a
continuous loop.

a. How is the size of the round platform and train speed related to the amount of time that
passengers have for boarding?
b. Why would this rotating platform be impractical for high-speed trains?
CONCEPTUAL PHYSICS

Answers

As per the given statement, If there is to be no relative motion between the train and the edge of the platform the train should  move equally as compared to the rim speed of the rotating platform.

What is Relative motion?

The motion of one moving body in respect to another fix body is termed as relative motion.

Relative velocity:

The velocity of one object in respect to the other one is know as their relative velocity. It is the time rate change of velocity of the first object with respect to the observer or the another object

Given :

Relative velocity of train to rotating platform = 0

hence,

as per the equation,

⇒the relative velocity(v)= vt-vp

⇒v relative=0

⇒0=vt-vp

⇒vt=vp

Hence, the velocity of train should be equal to the rim speed of rotating platform.

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Why do certain sports require special shoes (Physics/Frictional Standpoint)?

Answers

Sports shoes provide more than just a protective cover for the feet. They should provide support for the ways the feet and ankles will move and be adaptable to the terrain.

Why do certain sports require special shoes?

The right footwear must be designed specifically for the movements of one's sport, whether basketball or other forms of exercise. Elements like shock absorption, ankle support, balance and stability are very essential for better performance.

Different kind of shoes are suited for certain sports. If you are playing a particular sport for more than 2 days a week then, choose a pair of shoes suitable for that particular sport to protect yourself from injury.

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A 2 kg block is pulled with 5.3 N of force to the right. The block experiences 0.9 N of friction. What is the acceleration of the block?

Answers

0.265m/sec is the acceleration of the block when it is pulled with force of 5.3n having mass 2kg with friction 0.9N

F=ma, Where as F= force m= mass a= acceleration f = friction

F=5.3N  m=2kg a=? f=0.9N

The net force applied on the block is original force - friction force which is

(F-Ff)=ma

5.3- (5.3)(0.9)= 2x a

a= 0.265m/sec

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lead has a work function of 4.14 ev. (a) find the cutoff wavelength and cutoff frequency for the photoelectric effect. wavelength nm frequency hz

Answers

The cutoff wavelength and cutoff frequency of the photoelectric effect is  4.782 ×10⁻¹⁴ m and 0.627 × 10⁻⁶s⁻¹ respectively.

We are given that,

Work function =  Φ = 4.14ev

The work function relation can be given by the formula ,

Φ = hc/λ

Where,  Φ is the work function , h is the plank's constant , c is the speed of light , λ is the wavelength of the light,

Putting the values in the above equation to get wavelength of light,

λ = hc/ Φ

λ  = [(6.62607015 × 10⁻³⁴J-S)(3 × 10⁸m/s)]/ 4.14ev

λ = 4.782 ×10⁻¹⁴ m

The frequency can be calculated by the formula ,

ν = c /λ

ν = (3 × 10⁸m/s)/(4.782 ×10⁻¹⁴ m)

ν =0.627 × 10⁻⁶s⁻¹

Therefore ,the cutoff wavelength and cutoff frequency of the photoelectric effect would be  4.782 ×10⁻¹⁴ m and 0.627 × 10⁻⁶s⁻¹ respectively.

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Suppose you are camping on a mountain and the air temperature is very cold. How would you keep warm? Would you build a fire or set up a tent?

Answers

Answer:

Build a fire

Explanation:

calculate the mass defect in fe-56 if the mass of an fe-56 nucleus is 55.921 amu. the mass of a proton is 1.00728 amu and the mass of a neutron is 1.008665 amu.

Answers

The mass defect of Fe -56 atom with a mass of 55.921 amu and having 26 protons and 30 neutrons is  0.52823 amu.

What is mass defect?

Mass defect is the difference in the original mass of the atom from the mass added by the mass of protons and neutrons. Let Mp be the mass of protons and Mn that of neutrons and mass of electrons is negligible.

mass defect Δ M = [Z Mp + (A-Z) Mn )] - Matom

Given mass of protons Mp = 1.00728 amu

Mn = 1.008665 amu.

Number of protons = 26 and neutrons = 30

Then, Δ M = [(26 ×1.00728 amu) + (30 ×1.008665 amu )] - 55.921 amu

                 =  0.52823 amu.

Hence, the mass defect of Fe- 56 is  0.52823 amu.

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light is refracted through a diamond. if the angle of incidence is 30°, and the angle of refraction is 12°, what is the index of refraction?

Answers

Light is bent when it travels through a diamond. If the light rays is 12° and the incidence angle is 30°, the refraction is 2.4.

How is refraction accomplished?

Light waves alter in speed as they pass across the boundary that separates two materials with distinct densities, such as air and glass. Refraction is the term for how they change direction as a result.

What produces reflection in light?

The rate at which light will change as it travels through one medium before entering another. As a result, refraction happens. The change in medium has an impact on how light passes through air and into water.

Briefing:

Snell's law states:

n₁sinθ₁ = n₂sinθ₂

n₂ = sinθ₁/ sinθ₂

n₂ = sin(30)/sin(12

n₂ = 2.4

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Batman (95kg) is standing on top of a 50m high building looking out over the city of Gotham. Given that he uses the potential energy to swoop down to save his city, how much energy does he have by going up so high?

Answers

Answer:

47 kJoules (kJ)

Explanation:

Potential enegy on Earth is given by the relationship:

P.E. = mgh, where m is mass, g is the acceleration due to Earth's gravity, and h is height. Since we are given metric values, we will look for an answer that is consistent with Joules, the metric measure of energy. 1 Joule is defined as 1 kg*m^2/s^2, so we wnat units of kg, m, and sec.

We are given:

m = 95kg

h = 50 meters

Earth's gravity, g is 9.8 m/s^2

Enter the data:

P.E. = mgh

P.E. = (95kg)(9.8m/s^2)(50m)

P.E. = 46550 kg*m^2/s^2 or 46550 Joules(J)

Since we only have 2 sig figs, and since 1kJ =- 1000J

We can state the potential energy is 47kJ.

Spiderman has 47kJ of potential energy for the start of any dive back to Earth. [He needed that same amount of energy to reach that height, but we don't know from where it came. A jump, helicopter, beamed up by Scotty, or tossed up by Doctor Octopus.]

a wheel has eight spokes and a radius of 29.5 $cm$. it is mounted on a fixed axle and is spinning at 2.15 $rev/s$. you want to shoot a 22.5 $cm$ long arrow through the wheel, parallel to this axle, without hitting any of the spokes. assume that the arrow and the spokes are very thin and evenly spaced. what minimum speed must the arrow have?

Answers

When a wheel has eight spokes and radius and angular velocity is given then the minimum speed that the arrow must have is 3.87 m/sec.

What is spokes?

A bar or rod that connects the center of a wheel to its rim is known as spoke. The main purpose of spokes is to support structure of the wheel.

Given: radius = 29.5cm  and angular velocity = 2.14 rev/sec

length of arrow = 22.5cm

Angle between spokes = 2π/8 = π/4

Time taken to reach adjacent spoke =Ф/ω

= π/4/ 2.15 (2π)

= 0.058 sec

For the arrow to pass through spokes, time should be less than 0.058 sec.

Then, minimum speed = 22.5/100/0.058

= 3.87 m/sec

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Whoever answers get 10 points

Answers

If a full moon is visible on November 2, then waning crescent would be the next phase on November 13. If 21 October has waning crescent moon then 29 would have waxing crescent moon.

How long are moon phases?

Moon phases vary in length, depending on the position of the Moon relative to Earth. During a single orbit of the Moon, it passes through eight distinct phases, each lasting an average of three and a half days. The phases in order are the New Moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, Last Quarter and Waning Crescent. During a lunar cycle, the Moon passes through each of these phases in the same order, taking an average of 29 days, 12 hours, and 44 minutes to complete the cycle.

After 11 days a full moon transitions to a waxing crescent moon. After 8 days a waxing crescent moon goes from waning to waxing crescent moon.

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Two water-skiers, with masses of 48 kg and 61 kg, are preparing to be towed behind the same boat. When the boat accelerates, the rope the skiers hold onto accelerates with it and exerts a net force of 290 n on the skiers. At what rate will the skiers accelerate?

Answers

The rate at which the skiers accelerate is 2.7 m/s.

What is force?

A force applied to a body can change the magnitude of the momentum or its direction or both. Newton's second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and an (acceleration) are both vector quantities.

What is Ma in force?
Newton's second
law is often stated as F=ma, which means the force (F) acting on an object is equal to the mass (m) of the object times its acceleration (a). This means the more mass an object has, the more force you need to accelerate it. And the greater the force, the greater the object's acceleration.

[tex]F=ma[/tex]

Given : m=48+61, F=290N

[tex]290=(48+61)*a\\a=290/109\\a=2.7 m/s^{2}[/tex]

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