PLEASE HELP ME SOLVE THIS!! PLZ
Banpo Bridge fountain is 60 metres above the water.
The water is projected with a horizontal speed of 6m/s
-Calculate:
1. The time taken to hit the river for a single droplet of water.
2. The range of the projectile for a single droplet of water.
3. The velocity (diagonal) when it hits the water.

Answers

Answer 1

Answer:

1.) Time = 3.5 seconds

2.) Range = 21 m

3.) Velocity = 34.8 m/s

Explanation:

Given that the

Height h = 60 m

Initial velocity U = 6 m/s

1.) The time taken to hit the river for a single droplet of water can be achieved by using second equation of motion

h = Ut + 1/2gt^2

Let assume that the water drops from rest. Therefore, U = 0

60 = 1/2 × 9.8t^2

60 = 4.9t^2

t^2 = 60/4.9

t^2 = 12.24

t = sqrt (12.24)

t = 3.5s

2.) The range of the projectile for a single droplet of water will be calculated by using the formula

R = Ut

Range R = 6 × 3.5 = 20.99

Range = 21 m

3.) The velocity (diagonal) when it hits the water.

Using third equation of motion

V^2 = U^2 + 2gH

Substitute values into the equation

V^2 = 6^2 + 2 × 9.8 × 60

V^2 = 36 + 1176

V^2 = 1212

V = sqrt (1212)

V = 34.8 m/s


Related Questions

1. An automobile traveling at 25 km/hour has kinetic energy equal to 1x 10^4J.

a What is the mass of the car?

b. If the velocity of the car is increased to 45 km/hour, what is its kinetic energy?

c. If the velocity is increased to 80 km/hour, what is its kinetic energy?

Answers

Explanation:

It is given that,

Speed of an automobile is 25 km/h or 6.95 m/s

Kinetic energy of the automobile is [tex]10^4\ J[/tex]

(a) Kinetic energy of automobile s given by :

[tex]K=\dfrac{1}{2}mv^2\\\\m=\dfrac{2K}{v^2}\\\\m=\dfrac{2\times 10^4}{(6.95)^2}\\\\m=414\ kg[/tex]

(b) If the velocity of the car is increased to 45 km/hour or 12.5 m/s, new kinetic energy becomes :

[tex]K=\dfrac{1}{2}\times 414\times (12.5)^2\\\\K=32343.75\ J[/tex]

(c) If the velocity is increased to 80 km/hour, 22.23 m/s, So

[tex]K=\dfrac{1}{2}\times 414\times (22.23)^2\\\\K=102293.79\ J[/tex]

Hence, this is the required solution.

Which of the following statements cannot be supported by Kepler's laws of planetary motion? a. The distance of a planet around the sun changes throughout its orbit. b. The speed a planet is moving around the sun changes throughout the year. c. The orbital period of Mercury can be calculated using the orbital period of Jupiter and the average distances of both planets. d. The age of the four largest planets can be determined using the age of the four smallest planets and the average distances of each planet.

Answers

Answer:

Kepler studied the periods of the planets and their distance from the Sun, and proved the following mathematical relationship, which is Kepler's Third Law: The square of the period of a planet's orbit (P) is directly proportional to the cube of the semimajor axis (a) of its elliptical path.

Explanation:

Answer:

D

Explanation:

Just got a 100 on the test

Non-living factors in an ecosystem are

biotic

abiotic

antibiotic

Answers

Answer:

Abiotic

Explanation:

The non living factors of the ecosystem which is essential for the survival of living factors of the ecosystem are abiotic factors.

Examples for abiotic factors include temperature, sunlight, water, wind etc....

Answer:

B

Explanation:

is the correct answer

Assertion: A normal human eye can see clearly all the objects below and above 25 cm
Reason: The human eye has the capacity to suitable adjust the focal length of its lens to a certain extent.

(a) Both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
(c) The assertion is true but the Reason is false.
(d) Both Assertion and Reason are false.

Answers

Answer: d)

Both Assertion and Reason are false

Explanation:

The least distance of distinct vision for normal human beings is 25 cm. That is,

normal eye can not be able to see clearly the objects placed closer than 25 Centimetre.

Havong an Assertion that normal human eye can see clearly all the objects below and above 25 cm is false. And since the assertion is false, the reason behind it is invalid. Therefore, having a reason that the human eye has the capacity to suitable adjust the focal length of its lens to a certain extent is also false.

Which of the following are features of the nucleus of an atom?

Answers

Protons and neutrons
- It is mostly empty. - It consist of positively charged particles called protons and neutral particles called neutrons. ... - As the electrons revolving and nucleus has negligible mass, hence the whole mass of an atom is concentrated in it's nucleus.

assuming that voltage remains constant, what happpens to the current in a wire as its diameter decreases?

Answers

A larger diameter wire has lower resistance. A lower resistance wire produces less heat for a given current flowing through it.

An electromagnet is a ____________ with a _________core.

Answers

Answer:

Solenoid with a Metal core

The table gives some information about the orbits of Mars and Saturn.


Mars completes a number of orbits in the time it takes for Saturn to complete one orbit.

I will rate you brainliest if you answer!

Calculate the number of orbits that Mars completes in the time it takes for Saturn to complete one orbit.Immersive Reader

(5 Points)

Answers

Answer: 15 orbits

Explanation:

Given that the

Radius of Mars = 2.28 × 10^8 km

Radius of Saturn = 1.43 × 10^9 km

For a linear speed,

One revolution = 2πR

One revolution of Mars = 2 × π 2.28×10^8

And

One revolutionary of Saturn = 2 × π × 1.43 × 10^9

Since the relationship between angular speed and linear speed is

V = wr

Or

W = V/2πR

The number of orbits that Mars completes in the time it takes for Saturn to complete one orbit will be

(Vs/2π × 1.43 × 10^9) ÷ (Vm/2π × 2.28×10^8)

Where

Vm = linear speed of Mars = 24.1 km/s

Vs = linear speed of Saturn = 9.7km/s

(24.1/2π × 2.28×10^8) ÷ (9.7/2π × 1.43 × 10^9)

(24.1/2π × 2.28×10^8) × ( 2π × 1.43 × 10^9/9.7)

2π Will cancel each other

(24.1/2.28 × 10^8) × (1.43×10^9/9.7)

(24.1 × 1.43×10^9)/(2.28×10^8 × 9.7)

3.4463×10^10 / 2.2116×10^9

15.58 times

Therefore, Mars will complete 15 orbits in the time it takes for Saturn to complete one orbit.

A hydrogen line in a star's spectrum
has a frequency of 6.17x10^14 Hz
when stationary. In Rigel's spectrum,
it is shifted downward by 4.26x10^10
Hz. What is Rigel's velocity relative
to us?
PLS HELP!

Answers

Answer: V = 299,958589.8 m/s

Explanation: To calculate Rigel velocity relative to us, we should use doppler effect formula.

Fo = (c + Vo) f/ ( c - Vs)

Fo/f = (c + Vo) / ( c - Vs)

If Vo = Vs = V approximately

4.26 × 10^10 = (3×10^8 + V) 6.17×10^14/(3×10^8 - V)

4.26×10^10/6.17×10^14 = (3×10^8 + V)/(3×10^8 - V)

6.9×10^-5 = (3×10^8 + V)/(3×10^8 - V)

Cross multiply

20713.13 - 6.9×10^-5V = 3×10^8 + V

Collect the like terms

6.9×10^-5V + V = 3×10^8 - 20713.13

1.000069V = 299979286.9

V = 299979286.9/1.000069

V = 299,958589.8 m/s

Therefore, Rigel's velocity relative to us is 299,958589.8 m/s

At the beginning of a bobsled race, teammates push their bobsled along the track before jumping
into it.
a. Before the teammates jump in, they push the bobsled (m= 100 kg) from rest to a speed of 6
m/s. How much kinetic energy does the bobsled gain
I’ll give brainliest to whoever answers first

Answers

KE=1/2mv^2

1/2(100)6^2

1800 J

There are 200 turns of wire around an electromagnet. The current in the wire is 6 amp. You want to increase the strength of the magnet to 1.5 times its present strength. What are two changes you can make to achieve your goal? Show all your calculations.

Answers

Answer:

i. increasing the number of turns of the wire by half, so that it equals 300.

OR

ii. increasing the value of the current by half of its initial value, so that it equals 9 amp.

Explanation:

An electromagnet consists of a coil of wire wound around a conductor which becomes induced with magnetism when current flows through the coil.

The magnetic strength of the electromagnet can be increased to 1.5 of its initial strength either by;

i. increasing the number of turns by half of its initial value

OR

ii. increasing the current by half of its initial value

The magnetic strength of an electromagnet = I × N

where; I is the amount of current and N the number of turns.

Given that: I = 6 A, N = 200, then;

magnetic strength = 6 ×200

                              = 1200 Ampere turns

i. Increasing the number of turns to 300 and I = 6 A, we have;

magnetic strength = 6 × 300

                              = 1800 Ampere turns

OR

ii. increasing the value of current by half of its initial value, so that N = 200 and I = 9 A;

magnetic strength = 9 ×200

                              = 1800 Ampere turns

Look at the periodic table which statement about the elements on the periodic table is true

Answers

Answer: B

Explanation:

The reactivity of alkaline metal ( example group one ) increases down the group because of the increase in atomic mass from the top to the bottom of the group. As the mass increases, the force between the nucleus and the valence electron gets weaker and the atom will easily give up the electron as a result of this which eventually increases its reactivity.

The reactivity of halogens decreases as atomic mass increases. Therefore, option B is the correct answer.

What happens when a light bulb is disconnected in a series circuit? ​

Answers

Answer:

it will most likely turn off?

The same current flows through each part of a series circuit. If the circuit is broken at any point there won’t be any current that will flow. In the above circuit, electricity flows from the battery to each bulb, one at a time, in the order they are wired to the circuit. In this case, if one of the bulbs blew out, the other bulb would not be able to light up because the flow of electric current would have been interrupted. In the same way, if one of the bulb was unscrewed, the current flow to both the bulbs would be interrupted. If the circuit were a string of light bulbs, and one burned out, the remaining bulbs would also turn off

Help? 25 points and will give brainliest!

Answers

Answer: 44.89 times

Explanation:

Given that the earth's average velocity is about 6.7 times faster than that of planetoid Makemake

Given that the formula involved is:

R2/R1 = (V1/V2)^2

Let V1 = earth velocity and R1 = earth orbital distance

While R2 = Makemake velocity and R2 = orbital distance.

Since the earth's average velocity is about 6.7 times faster than that of planetoid Makemake, then,

V1/V2 = 6.7

Substitute this in the formula above

R2/R1 = (6.7)^2

R2/R1 = 44.89

Cross multiply

R2 = 44.89R1

Therefore, Makemake's orbit is about 44.89 times larger than the earth's orbit.

An electric motor has an operating resistance of 25 Ω when a 4.8 A current is flowing through it. What is the potential difference of the outlet the motor is plugged into?

Answers

I’ve solved the question by using Ohm’s law

Luis and Aisha conducted an experiment. They exerted different forces on four objects. Their results are shown in the table.

A 3-column table with 4 rows. The first column labeled Object has entries 1, 2, 3, 4. The second column labeled Mass has entries 10 kilograms, 100 grams, 10 grams, 1 kilogram. The third column labeled Force (Newtons) has entries 4 Newtons, 20 Newtons, 4 Newtons, 20 Newtons.
Based on the data, which object has the greatest acceleration?

Object 1
Object 2
Object 3
Object 4

Answers

Answer:

Object 3

Explanation:

The object has the greatest acceleration is Object 2.

The following information should be considered;

The option 2 should be considered becasue 100 grams is lighter than 1 kilogram and therefore it has the greater amount of force that being applied to it, Due to this, it will have the greater acceleration.

learn more: https://brainly.com/question/5303391?referrer=searchResults

critical mass depends on ___. Check all that apply.
A. the polarity
B. the purity
C. the density
D. the shape

Answers

The critical mass of a fissionable material depends upon its nuclear properties (specifically, the nuclear fission cross-section), its density, its shape, its enrichment, its purity, its temperature and its surroundings.
i hope this helps. if it does please mark brainliest.

Early in the twentieth century, a group of German psychologists noticed that people tend to organize a cluster of sensations into a(n) Group of answer choices parallel process. monocular cue. afterimage. gestalt.

Answers

Answer:

The correct option is D

D) Gestalt

Explanation:

In the earlier 20th century, a group of German scientists named Max Wertheimer, Wolfgang Köhler and Kurt Koffka, noticed that people tend to organzie a cluster of information into a Gestalt.

Gestalt is a German word which means the way things are placed or put together as a whole. In the field of phychology, it can be defined as a pattern or configuration. In this context, it included the human mind and its behavior as a whole.

The Gestalt theory states that:

"The whole of anything is greater than its parts and that attributes of the whole can't be deduced by analyzing any of the parts on their own accord"

Please answer as soon as possible.

A Physics question about electricity and circuits.

Answers

Answer:

Explanation:

The formula P=VI, just rearrange to find I

So

I=P/V

=75/120

=0.625amps

625mA

A man climbs a ladder. Which two quantities can be used to calculate the energy stored of the man at the top of the ladder.

A. The Weight of the man and the time taken only

B. The Weight of the man and the vertical distance moved only
C. The work don't by the man and the time taken only
D. The work don't by the man and the vertical distance moved only

Answers

Answer:The answer must be The weight of the man and the vertical distance moved.

Explanation: you calculate it by the force you applied times the distance you moved

Jake has a car that accelerates at 10 m/s2. If the car has a mass of 1000 kg, how much force does the car produce?

Answers

Answer:

10,000 N

Explanation:

Force = mass · acceleration

F = m · a

Jake's car:

Accelerates at 10 m/s²

Weighs 1000 kg

F = 1000 · 10

F = 10000 N

Answer:

10,000 Newtons

Please mark my answer.

Cheers, Jake

The Washington Monument is 169.20 meters tall.
A worker assigned to the restoration of the Washington Monument is checking the condition of the stone at the very top of the monument. A nickel with a mass of 0.005 kg is in her shirt pocket. What is the kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument?

Answers

Answer: K.E = 8.3 J

Explanation:

The given parameters are

Height h = 169.2 m

Mass m = 0.005kg

From conservation of energy, at the top of the monument, the total energy will be kinetic energy which is equal to the potential energy. That is,

K.E = P.E

And

P.E = mgh

Where g = 9.81 m/s^2

Substitutes all the parameters into the formula

P.E = 0.005 × 9.81 × 169.2

P.E = 8.2908 J

Therefore, the kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument is approximately 8.3 Joule.

The kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument is 8.2908 Joules.

Given the following data:

Mass of nickel = 0.005 kgHeight of Washington Monument = 169.20 meters

Scientific data:

Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]

To calculate the kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument, we would apply the law of conservation of energy.

The law of conservation of energy.

According to the law of conservation of energy, the kinetic energy (KE) of the nickel is equal to the potential energy (PE) possessed by the nickel at the top of the monument.

Mathematically, this is given by this expression:

[tex]K.E =P.E =mgh[/tex]

Substituting the given parameters into the formula, we have;

[tex]K.E = 0.005 \times 9.8 \times 169.20[/tex]

K.E = 8.2908 Joules.

Read more on kinetic energy here: https://brainly.com/question/22599382

how is energy transformed using a wheel and axle

Answers

Answer:

The mechanical advantage of the wheel and axle is the ratio of the distances from the fulcrum to the applied loads, or what is the same thing the ratio of the diameter of the wheel and axle

Explanation:

i looked on Google

The wheel and axle simple machine is closely related to gears. Like all other simple machines the wheel and axle system changes the force by changing the distance over which the force must be applied; if the input force is reduced to the output force, then the force must be applied over five times the distance.

Skin sensitivity may not include:
a. Touch
b. Hearing
c. Pain
d. Temnerature

Answers

skin sensitivity may not include hearing

WILL MARK BRAINLIEST

Using the fact that pressure is defined as force : area, what is the pressure
exerted by 1 book in N/m??​

Answers

Answer:

Pressure= force/ area

12/ 2033.33= 24400 N/m2.

i believe this is it :)

derive a relation between time period anf frequency of a wave

Answers

Answer:

The relation between frequency and time period is given by:

f = 1/T

Explanation:

In a wave motion, the particle move about the mean position with the passage of time. The particles rise to reach the highest point which is crest, and similarly falls to reach the lowest point which is trough. The cycle keeps on repeating.

The time period of the wave can be defined as the time taken to complete one such cycle. Time period is given by:

T = 2π/ω

Frequency can be defined as the number of cycles completed in unit time, which can be taken as the inverse of time period. frequency is given by

f = ω/2π

or

f = 1/T

True or false when a person swims through water no work is done

Answers

Answer:

False

Explanation:

First we need to know the definition of work.

Work is done when a body moves through a distance with an applied force.

When swimming in water, you exert a force while moving through a distance. Therefore, work is done!

False, work is when a force is exerted

True or false: it is legal for a goalie to jump forward or come off his line during a penalty kick

Answers

Answer:

no

Explanation:

the goalie can move side to side but cant go out of the goalie box.

pls mark me brainliest

how do radios work?



music has 3 things that make them pleasing to hear..

ANSWERS ASAP

Answers

Answer:

radios work when electrons are speeding up and dow the attena, patters structure and shape make music pleasing to hear. (more info below)

Explanation:

a radio works when electrons are speeding up and down the antenna, sending out electromagnetic waves. Radiation waves travel through the air at the speed of light. When the radio waves reach the antenna, the electrons vibrate within the antenna and reproduce the initial signal. to make music pleasing to hear it has to have patterns, structure, shape.

hope this helped!

Find the electric field at the center of square. Assume that q1=11.8nC, q2=-11.8nC, q3=23.6nC, q4=-23.6nC and a=5.2cm. Such that 'a' is the distance between any two charges. The charge q1 and q3 are along two sides of a diagonal.

Answers

Answer:

[tex]E_T=[-27739.6\hat{i}-55479\hat{j}]\frac{N}{C}[/tex]

Explanation:

You have four charges at the corners of a square of side a=5.2cm

In order to calculate the electric field at the center of the square, you sum the contribution of the electric field generated by each charge.

The total electric field is given by:

[tex]E_T=E_1+E_2+E_3+E_4\\\\[/tex]    (1)

each contribution to the total electric field has two components x and y. The signs of the components depends of the direction of the field, which is given by the sign of the charge that produced the electric field. Then, you have

[tex]E_1=k\frac{q_1}{r^2}cos\theta\hat{i}-k\frac{q_1}{r^2}sin\theta\hat{j}\\\\E_1=k\frac{q_1}{r^2}(cos\theta \hat{i}-sin\theta \hat{j})[/tex]   (2)

q1 = 11.8*10^-9 C

k: Coulomb's constant = 8.98*10^9 Nm^2/C^2

For a square you obtain that

[tex]r=\sqrt{2}a=\sqrt{2}(5.2cm)=7.35cm=7.35*10^{-2}m[/tex]

and the angle is 45°

Then, you have in the equation (2):

[tex]E_1=(8.98*10^9Nm^2/C^2)\frac{11.8*10^{-9}C}{(7.35*10^{-2}m)^2}(cos45\° \hat{i}-sin45\° \hat{j})=[13869.7\hat{i}-13869.7\hat{j}]\frac{N}{C}[/tex]

In the same way you obtain for the other contributions to the total electric field:

For E2:

[tex]E_2=k\frac{q_2}{r^2}(cos45\°\hat{i}+sin45\° \hat{j})\\\\E_2=[13869.7\hat{i}+13869.7\hat{j}]\frac{N}{C}[/tex]

For E3:

[tex]E_3=k\frac{q_3}{r^2}(-cos45\°\hat{i}+sin45\°\hat{j})\\\\E_3=(8.98*10^9Nm2/C^2)\frac{23.6*10^{-9}C}{(7.35*10^{-2}m)^2}(-cos45\°\hat{i}+sin45\°\hat{j})\\\\E_3=39229.58(-cos45\°\hat{i}+sin45\°\hat{j})\frac{N}{C}\\\\E_3=[-27739.5\hat{i}+-27739.5\hat{j}]\frac{N}{C}[/tex]

for E4:

[tex]E_4=k\frac{q_4}{r^2}(-cos45\°\hat{i}-sin45\°\hat{j})\\\\E_4=[-27739.5\hat{i}-27739.5\hat{j}]\frac{N}{C}[/tex]

Finally, you sum component by component the four contributions to the total electric field (equation (1)):

[tex]E_T=[-27739.6\hat{i}-55479\hat{j}]\frac{N}{C}[/tex]

There still are four chargers in the corners of a square with side a=5.2cm. To compute the electric field just at the center of the composition, add the contributions of each shield's electromagnetic current.

entire electric field

[tex]\to E_T=E_1+E_2+E_3+E_4\ \ \ \ \ \ \ (1)[/tex]

Every contribution to the total electric field is comprised of two components, x, and y. These components' signs were determined by the direction of the field, which is determined by the sign of the charge that produced the electric field. There's

[tex]\to E_1=k\frac{q_1}{r^2}\cos\theta\hat{i}-k\frac{q_1}{r^2}\sin\theta\hat{j}\\\\\to E_1=k\frac{q_1}{r^2}(\cos\theta \hat{i}-\sin\theta \hat{j}) \ \ \ \ (2)\\\\\to q_1 = 11.8\times 10^{-9}\ C\\\\[/tex]

Coulomb’s constant (K) [tex]= 8.98\times 10^9\ \frac{Nm^2}{C^2}[/tex]

square, you obtain that

[tex]\to r=\sqrt{2}\\\\\to a=\sqrt{2}(5.2\ cm)=7.35\ cm=7.35\times 10^{-2}\ m[/tex]

angle= [tex]45\°[/tex]  then, you have in the equation (2):

[tex]\to E_1=(8.98\times 10^9\ \frac{Nm^2}{C^2})\frac{11.8 \times 10^{-9}\ C}{(7.35 \times 10^{-2}m)^2}(\cos 45^{\circ} \hat{i}-\sin 45^{\circ} \hat{j})[/tex]

         [tex]=[13869.7\hat{i}-13869.7\hat{j}]\ \frac{N}{C}[/tex]

Similarly, for other components to the overall electric field, you get:

For E2:

[tex]\to E_2=k\frac{q_2}{r^2}(\cos45^{\circ}\hat{i}+\sin45^{\circ} \hat{j})\\\\ \to E_2=[13869.7\hat{i}+13869.7\hat{j}]\ \frac{N}{C}[/tex]

For E3:

[tex]\to E_3=k\frac{q_3}{r^2}(-\cos45^{\circ}\hat{i}+\sin45^{\circ} \hat{j})\\\\\to E_3=(8.98\times 10^9 \ \frac{Nm^2}{C^2}) \ \frac{23.6 \times 10^{-9}\ C}{(7.35\times 10^{-2}\ m)^2}(-\cos45^{\circ} \hat{i}+\sin45^{\circ} \hat{j})\\\\\to E_3=39229.58(-\cos45^{\circ} \hat{i}+\sin45^{\circ} \hat{j})\frac{N}{C}\\\\\to E_3=[-27739.5\hat{i}+-27739.5\hat{j}]\ \frac{N}{C}\\[/tex]

For E4:  

[tex]\to E_4=k\frac{q_4}{r^2}(-\cos45^{\circ}\hat{i}-\sin45^{\circ}\hat{j})\\\\ \to E_4=[-27739.5\hat{i}-27739.5\hat{j}]\ \frac{N}{C}[/tex]

Finally, we add up the four contributions to the total electric field (equation (1)):

[tex]E_T=[-27739.6\hat{i}-55479\hat{j}]\frac{N}{C}[/tex]

Learn more:

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