From the window of a house that is placed 15 m

high, a stream of water is thrown at 20 m/s with an

angle of 37° over the horizontal. Ignoring friction

with the air, calculate: (Consider g = 10 m/s 2 )

a) Distance from the base of the house at which the

water will fall.

b) Velocity at which the water will reach the

ground.

Answers

Answer 1

Answer:

a) 52.915 m

b) The vertical velocity is approximately 21.092 m/s

The resultant velocity is approximately 26.5 m/s

Explanation:

a) The height of the window in the house from which the water was thrown = 15 m

The speed of the stream of water thrown = 20 m/s

The angle at which the water was thrown = 37° over the horizontal

The acceleration due to gravity, g = 10 m/s²

a) The distance from the base of the house at which the water will fall is given as follows;

y = y₀ + u·t·sin(θ) + 1/2·g·t²

Where;

y = The vertical height reached    

u = The initial velocity

t = Time of flight

From the point the steam of water is thrown, we get;

y₀ = 15 m

Therefore;

y = 15 + 20 × t × sin(37°) - 1/2 × 10 × t²

y = 15 + 20 × t × sin(37°) - 5 × t²

When y = 0, Ground level, we get

0 = 15 + 20 × t × sin(37°) - 5 × t²

5·t² - 20×sin(37°)×t -15 = 0

∴ t = (20 ×sin(37°) ± √((-20 × ·sin(37°))² - 4 × (5) × (-15)))/(2 × 5)

t ≈ 3.3128302, or t ≈ 0.906

Therefore, the time of flight of the water, t ≈ 3.3128302 seconds

The distance from the base of the house at which the water will fall = The horizontal distance travelled by the water, x

x = u·cos(θ)×t

∴ x = 20 × cos(37°) × 3.3128302 ≈ 52.915

The distance from the base of the house at which the water will fall = x ≈ 52.915 m

b) The velocity at which the water will reach the ground, 'v', is given as follows;

The vertical velocity, [tex]v_y[/tex] = u·sin(θ)·t - g·t

At the ground, t ≈ 3.3128302 seconds

∴ [tex]v_y[/tex] = 20 × sin(37) - 10 × 3.3128302 ≈ -21.092

The vertical velocity at which the water will reach the ground, [tex]v_y[/tex] ≈ 21.092 m/s (downwards)

The resultant velocity, v = √([tex]v_y[/tex]² + vₓ²)

∴ v = √(21.092² + (0 × cos(37°))²) ≈ 26.5

The resultant velocity at which the water will reach the ground, v ≈ 26.5 m/s.


Related Questions

PLEASE ANSWER ASAP!!!

Answers

Answer:

if one bulb burns out the other will also turn off because they are connected to each other.

True or False: The same parent rock can produce magmas of different composition if the melting temperature is different.


HELP NOW PLEASE

Answers

Answer:

False

Explanation:

A heat pump receives heat from a lake that has an average winter time temperature of 6o C and supplies heat into a house having an average temperature of 25o C. (a) If the house loses heat to the atmosphere at the rate of 60,000 kJ/h, determine the minimum power supplied to the heat pump (in kW) that can maintain the interior temperature of the house at 25o C. (b) Suppose the heat pump absorbs energy from the ground (10o C) instead of the lake, Calculate the minimum power (in kW) required for the heat pump.

Answers

Answer:

Explanation:

60000 kJ / h = 60000 x 1000 / (60 x 60 )

= 16667 J /s

a)

[tex]\frac{Q_H}{W} =\frac{T_H}{T_H-T_C}[/tex]

where [tex]Q_H[/tex] and [tex]W[/tex] are heat supplied and heat given from  outside source .

Here [tex]Q_H[/tex] = 16667 J/s

[tex]\frac{T_H}{T_H-T_C}=\frac{298}{298-279}[/tex]

= 15.684

[tex]Q_H = 16667 J/s[/tex]

16667 / W = 15.684

W= minimum power supplied  = 1062.7 W.

b )

If  [tex]T_C=283K[/tex]

[tex]\frac{T_H}{T_H-T_C}=\frac{298}{298-283}[/tex]

=19.87

[tex]\frac{Q_H}{W} = 19.87[/tex]

[tex]W=\frac{Q_H}{19.87}[/tex]

[tex]W=\frac{16667}{19.87}[/tex]

= 838.8 W .

The graph is the path Beth took on a walk.

A graph with horizontal axis time (seconds) and vertical axis position in (meters). The line runs in 2 straight segments from 0 seconds 2 meters to 6 seconds 8 meters to 10 seconds 0 meters.

Answers

Answer:

could you add a picture?

Explanation:

Which statement best describes the acceleration of a baseball?
A The baseball rolls a distance of 4 meters in 1.5 seconds.
B The baseball moves at an average speed of 2 m/s.
C The baseball began at rest and rolls at a rate of 14.7 m/s after 1.5 seco
D The baseball rolls to the right at an average speed of 2

I need a lil bit of help I’m doing this for my friend

Answers

Answer:

C the baseball began at rest and rolls at a rate of 14.7 m/s after 1.5 seconds

Question:The greater the
of the object, the greater the
force needed to achieve the same change in motion.

Answers

Answer:

True

Explanation:

when the object is larger , the inertia of the object is larger so its tendency to change its state of motion is reduced is reduced.

Humans, birds, whales, and lizards all have similar arm bones. What is the reason for this? The function of these bones is the same in all animals They live in similar environments They have a common ancestor All organisms resemble humans

Answers

Answer:

They have a common ancestor

Explanation:

Similar arm bones are present in different types of animals as mentioned which are humans, birds, whales and lizards and the reason is that all of them had the same ancestors and eventually the species evolved into present day forms.

Other options are wrong because.

1. Function is these bones obviously are not same as whales have no arms like humans or birds.

2. They do not live in same environment as whales are in oceans and birds are in airborne whereas humans and lizards are land occupying.

3. All animals are different from each other and do not resemble humans.

Therefore the correct answer is that their ancestors were common.

How many seconds will elapse between seeing lightning and hearing the thunder if the lightning strikes 1mi (5280 ft) away and the air temperature is 90.0°F?

Answers

Answer:

t = 4.58 s

Explanation:

In this problem, we need to find the time elapse between seeing lightning and hearing the thunder if the lightning strikes 1mi (5280 ft) away and the air temperature is 90.0°F.

T = 90.0°F = 32.2 °C

The speed of sound at temperature T is given by :

v = (331.3 +0.6T)

Put T = 32.2°C

So,

v = (331.3 +0.6(32.2))

= 350.62 m/s

We have, distance, d = 1 mile = 1609.34

So,

[tex]t=\dfrac{d}{v}\\\\t=4.58\ s[/tex]

So, the required time is equal to 4.58 seconds.

Using Ohms Law, calculate the current that would exist in a circuit having a voltage of 240V experiencing 110 Ohms of resistance

Answers

To find the Voltage, ( V ) [ V = I x R ] V (volts) = I (amps) x R (Ω)

To find the Current, ( I ) [ I = V ÷ R ] I (amps) = V (volts) ÷ R (Ω)

To find the Resistance, ( R ) [ R = V ÷ I ] R (Ω) = V (volts) ÷ I (amps)

To find the Power (P) [ P = V x I ] P (watts) = V (volts) x I (amps)

There are ___ basic wave forms.

1
2
3
4

Answers

There are 4 different types of basic wave forms

Match the following waves on the EM Spectrum with the correct letter;
Visible Light, Radio Waves, and X Rays

Answers

Answer:

(D) is visible light

Explanation:

(F) is xray and (B) is radio

Which of the following best describes why tidal energy is considered a renewable energy resource? A. The Moon receives energy from the Sun, which is a renewable resource. B. Humans can create more tidal energy by setting up more tidal energy plants. C. Ocean water will never be exhausted. D. Tidal energy is replaced naturally by the Moon's gravity.

Answers

Answer:

D. Tidal energy is replaced naturally by the Moon's gravity.

Explanation:

The reason tidal energy is considered a renewable energy resource is that Tidal energy is replaced naturally by the Moon's gravity. The Moon's gravity creates bulges on the side of Earth that is closest and farthest from the Moon. These bulges also pull water causing high tides in those areas. As the Earth rotates these areas experience low tide while the areas that had low tide now experience high tide. This constant shift creates tidal energy every day, which is replenished naturally.

Use the example of the two soccer players in the ball suits to explain Newton's
third law.

Answers

Answer:

Newton's third law states that " for every action, there is an equal and opposite reaction". In soccer, when you kick the soccer ball you will feel the force of the kick back into your leg. You won't feel the force as much because your legs have more mass than the soccer ball.

The university of the English institute

How many hydrogen atoms are in one molecule of (NH4)2SO4

Answers

There are eight hydrogen atoms in (NH4)2SO4

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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The car is 200 mph at the starts and everytime it turns it loses 100 km because the car loses momentum when turning. Then it gains 100 when going straight and then loses 100 again.

Essay on global temperature change. I have tried to do this multiple times but it always end up all scrambled so if someone would write on for me that would be amazing

Answers

Global climate change is a change in the atmosphere that occurs all over the planet simultaneously. Although these changes have occurred in certain periods in a natural way, we are currently facing global climatic changes caused by human activities, which have inconsequentially modified the natural harmony of climatic conditions.

The climate change we are currently experiencing refers to global warming, where the earth's temperature is increasing on an alarming and worrying scale. Global warming has caused the melting of the polar ice caps, harmed marine life, increased the surface temperature of the oceans, caused droughts and floods, in addition to promoting an abnormal and harmful sensation to living beings.

These changes are the result of the constant use of fossil fuels, deforestation, pollution and other human activities that have degraded nature and the atmosphere. This is because these activities, mainly the use of fossil fuels, promote a large production of carbon dioxide, which, when released into the atmosphere, causes holes in the ozone layer that protects our planet from the sun's rays. With the depletion of the ozone layer, the planet is left unprotected and receives sun rays at harmful intensities.

Therefore, we can conclude that the global climate changes that we are experiencing are the consequences of our own actions and that is why it is our responsibility to repair the damage caused by global warming and to promote measures that reduce it.

Which system is responsible for breaking down food?

Answers

Answer:

Digestive System

Explanation:

Food is broken down by the digestive system to give energy to the cells of the body

Answer: Digestive System

Explanation:

How much work does the electric field do in moving a -7.7 hC charge from the ground to a point whose potential is +55 V higher?

Answers

I really don’t know I just need some points to help me though this test I’m very sorry

Need all the answers to (Lab report: phase change) asap

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Explanation: It's really blurry and sideways

2. Find the electrostatic force between two protons that are 2.0 m apart. The elementary charge of

a proton is 1.602 x 10-19 C.

Answers

Answer:

the electrostatic force between the two protons is 5.775 x 10⁻²⁹ N.

Explanation:

Given;

charge of protons, q = 1.602 x 10⁻¹⁹ C

distance between the two charges, r = 2.0 m

The electrostatic force between the two protons is calculated as;

[tex]F = \frac{kq^2}{r^2}[/tex]

where;

k is coulomb's constant, = 9 x 10⁹ Nm²/C²

[tex]F = \frac{(9\times 10^9)(1.602 \times 10^{-19})^2}{(2)^2} \\\\F = 5.775 \times 10^{-29} \ N[/tex]

Therefore, the electrostatic force between the two protons is 5.775 x 10⁻²⁹ N.

The force between the two protons separated by the distance of 2 m will be [tex]F=5.775\times 10^{-29}\ N[/tex]

What is coulomb's force?

The coulomb's force is defined as when two charged particles are separated by the distance r and having charge q then the force will be directly proportional to the product of the charges and inverse to the distance between them.

The coulomb's force will be given by

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

Here it is given that

Charge on the proton=[tex]q=1.602\times 10^{-19}\ C[/tex]

The distance between protons = 2 m

The value of constant  [tex]k=9\times 10^{-29}\ \dfrac{Nm^2}{C^2}[/tex]

Putting the values in the formula

[tex]F=\dfrac{(9\times 10^9) (1.602\timeds 10^{-19}^)^2}{2^2}[/tex]

[tex]F=5.775\times 10^{-29}\ N[/tex]

Hence the force between the two protons separated by the distance of 2 m will be [tex]F=5.775\times 10^{-29}\ N[/tex]

To know more about coulomb's law of forces follow

https://brainly.com/question/506926

why no one is helping me!!!
please help me quickly will mean alotttt!!
THE VOLTAGE ACROSS THE GROUPING U=12 VOLTE
TAKE R1=39
AND R2=68
The question is
CALCULATE i1 and i2​

Answers

Answer:

Hi

Explanation:

OK so

I2 = U/R2

or

I2 = 12 : 68

I1 = U /R1

I1= 12 : 39

Answer:

Relax 5-Min guide

Explanation:

When the voltage is
4V, the light bulb
flows 300 mA. What
work does the
electricity do in 5
minutes?

Answers

Explanation:

ask to nirajan shrestha

search on fb

he is good science teacher❣❣❣

Indigo the dog has escaped. She trots north at 5m/s. She looks behind to see Miss Leuthauser chasing after her and then she starts running at 15m/s. She changed her velocity in 2 seconds. What is her acceleration?

Answers

Answer:

5 m/s²

Explanation:

From the questio,

Acceleration (a) = Change in velocity(Δv)/time(t)

a = Δv/t

a = (v-u)/t.................. Equation 1

Where v = final velocity, u =  initial velocity, t = time

Given: v = 15 m/s, u = 5 m/s, t = 2 seconds

substitute these value into equation 1

a = (15-5)/2

a = 10/2

a = 5 m/s².

Hence her accleration is 5 m/s²

What is the polarity of each of the earths magnetic poles ? Explain you answer

Answers

Answer:

When you put un-like poles together (South facing North) you can feel magnetic attraction. In the Northern Hemisphere, your compass needle points North, but if you think about it for a moment, you will discover that the magnetic pole in the Earth's Northern Hemisphere has to be a South polarity.

Identify the forces present on the divers in the picture below.

Gravity
Spring
Tension
Normal
Sliding Friction
Air Resistance

Answers

Answer:

sliding friction/air resistance

The object having uniform velocity has zero acceleration, why?

Answers

Ans: It measures how much velocity is changing in a given time interval. If the body has uniform velocity, it means velocity is not changing. So the change in velocity is zero. In other words, its acceleration is zero.

A car, of mass 2.1 X 10^3 kg, travels in the horizontal plane around an unbanked curve of a radius of 275 m at a speed of 26 m/s, without sliding.

a) Determine the minimum coefficient of static friction between the tires and the road.








b) How would your answer in part a) be affected if the mass of the vehicle were greater because of the presence of heavy cargo?





c) How would your answer in part a) be affected if the curve were sharper, i.e., if its radius were smaller?

Answers

Answer:

Centripetal force is perpendicular to velocity and causes uniform circular motion. ... force exerted on a 900.0-kg car that negotiates a 500.0-m radius curve at 25.00 m/s. ... A car moving at 96.8 km/h travels around a circular curve of radius 182.9 m ... Because the car does not leave the surface of the road, the net vertical force ...

Explanation:

HE monda

What will happen to the size of the Aragorn Sea over time?

Answers

It will expand maybe?

water has a specific heat capacity of 4.184 j/kg the energy needed to heat 2kg of water by 5°C is

Answers

Answer:

41840

Explanation:

c = Q/mt

4,184 = Q/10

41,840J = Q

The temperature measured outside the International Space Station is 2.7 Kelvin. How is it possible for empty space to have a temperature?

Answers

Answer:

people could just have a space heater or they are wearing warm clothes.

Explanation:

COMMON SENSE!!!!!

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