After being assaulted by flying cannonballs, the knights on the castle walls (12.0 m above the ground) respond by propelling flaming pitch balls at their assailants. One ball lands on the ground at a distance of 81.1 m from the castle walls. If it was launched at an angle of 53.0° above the horizontal, what was its initial speed?

Answers

Answer 1

Answer:

28.6 m/s

Explanation:

Using the equation for the range of a projectile,

R = U²sin2θ/g where U = initial speed of flaming pitch balls, θ = launch angle = 53° and g = acceleration due to gravity = 9.8 m/s²

Making U subject of the formula, we have

U = √(gR/sin2θ)

substituting the values of the variables into the equation given that R = 81.1 m, we have

U = √(9.8 m/s² × 81.1 m/sin2(53°))

U = √(794.78 m²/s²/sin106°)

U = √(794.78 m²/s²/0.9613)

U = √(826.78 m²/s²)

U = 28.75 m/s

U ≅ 28.6 m/s


Related Questions

Sounds are made when objects ____ in air. What one word completes the sentence?

If anybody could help me it would be nice :) <333

Answers

Answer:

are crashing?

hope it's good hahah.

The correct answer is: "vibrate".

To find the correct word to complete the sentence, we need to know more about the sound wave.

What is sound wave?

Sound wave is a longitudinal wave i.e. the particles vibrate along the direction of propagation of wave.It requires a material medium to travel i.e. it can not travel in vacuum.

How does sound wave produce?

Sound wave is produced due to variation of pressure in a medium. The high pressure region is compression region and low pressure region is rarefaction region.In case of an object, these pressure variations are produced by its vibration in a medium.

Thus, we can conclude that sounds are made when objects vibrate in air.

Learn more about sound wave here:

https://brainly.com/question/1199084

#SPJ2

Una esfera de aluminio de 250 g a una temperatura de 230 °C se introduce en 450 g de alcohol a una temperatura de 18 °C. Determine la temperatura de equilibrio del sistema. El calor específico del aluminio es 911 J kg-1 °C-1 y para el alcohol 2100 J kg-1 °C-1.

Answers

Answer:

La temperatura de equilibrio del sistema es de aproximadamente 59,17 °C

Explanation:

La masa de la esfera de aluminio, m₁ = 250 g

La temperatura inicial de la esfera de aluminio, T₁ = 230 °C

La capacidad calorífica específica del aluminio, c₁ = 911 J / (kg·°C)

La masa del alcohol, m₂ = 450 g

La temperatura inicial del alcohol, T₂ = 18 ° C

La capacidad calorífica específica del alcohol, c₂ = 2,100 J/(kg·°C)

Observamos que el punto de ebullición del alcohol ≈ 78,37°C

Sea 'T' la temperatura de equilibrio del sistema, obtenemos;

ΔQ₁ = ΔQ₂

ΔQ₁ = Calor transferido desde el aluminio = m₁ · c₁ · (T₁ - T)

ΔQ₂ = Calor transferido al alcohol = m₂ · c₂ · (T - T₂)

∴ m₁ · c₁ · (T₁ - T) = m₂ · c₂ · (T - T₂)

Por lo tanto, por sustitución, obtenemos

250 × 911 × (230 - T) = 450 × 2100 × (T - 18)

Usando una calculadora gráfica, tenemos;

T = 277570/4691 °C ≈ 59,17 °C

La temperatura de equilibrio del sistema, T ≈ 59.17 °C

After being struck by a bowling ball, a 1.8 kg bowling pin sliding to the right at 5.0 m/s collides head-on with another 1.8 kg bowling pin initially at rest. Find the final velocity of the second pin in the following situations: a) The first pin moves to the right after the collision at 0.8 m/s. Answer in units of m/s. 010 (part 2 of 2) 10.0 points b) The first pin stops moving when it hits the second pin. Answer in units of m/s

Answers

Answer:

a) v₂ = 4.2 m/s

b) v₂ = 5 m/s

Explanation:

a)

We will use the law of conservation of momentum here:

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

where,

m₁ = m₂ = mass of bowling pin = 1.8 kg

u₁ = speed of first pin before collsion = 5 m/s

u₂ = speed of second pin before collsion = 0 m/s

v₁ = speed of first pin after collsion = 0.8 m/s

v₂ = speed of second after before collsion = ?

Therefore,

[tex](1.8\ kg)(5\ m/s)+(1.8\ kg)(0\ m/s)=(1.8\ kg)(0.8\ m/s)+(1.8\ kg)(v_2)\\v_2 = 5\ m/s - 0.8\ m/s[/tex]

v₂ = 4.2 m/s

b)

We will use the law of conservation of momentum here:

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

where,

m₁ = m₂ = mass of bowling pin = 1.8 kg

u₁ = speed of first pin before collsion = 5 m/s

u₂ = speed of second pin before collsion = 0 m/s

v₁ = speed of first pin after collsion = 0 m/s

v₂ = speed of second after before collsion = ?

Therefore,

[tex](1.8\ kg)(5\ m/s)+(1.8\ kg)(0\ m/s)=(1.8\ kg)(0\ m/s)+(1.8\ kg)(v_2)[/tex]

v₂ = 5 m/s

Two forces of 8N and 10N CANNOT give a resultant of

a. 1 N
b. 2 N
c. 9 N
d. 18 N

Answers

Answer:

I believe it is D

forgive me if I'm wrong

Parallel Circuits:

A) are rarely used in the wiring in homes
B) always need more voltage than series circuits
C) will have positive charges flowing in one branch, negative charges in the other
D) provide more than one path fo current flow

Answers

Answer:

D.)

Explanation:

the current separates on each branch according to the resistance it experience.

Answer:D

Explanation:

60.0 kg downhill skier is moving with a speed of 10.0 m/s as she starts her descent from a level plateau at 150.0 meters of height above the base of the slope below. The length of the slope is 650 meters. There is a frictional force of 70 N affecting the skier's motion while she coasts the entire descent without using her poles. Upon reaching the bottom she continues to coast to a stop. How much kinetic energy will she have at the bottom of the hill?

Answers

Answer:

She will have kinetic energy at the bottom of the hill=45700 J

Explanation:

We are given that

Mass, m=60 kg

Speed, v=10 m/s

Height, h=150 m

Length of slope, d=650 m

Frictional force, f=70 N

We have to find the kinetic energy she will have at the bottom of the hill.

Kinetic energy  at the bottom of the hill

=Initial kinetic energy+ mgh-fd

Substitute the values

Kinetic energy  at the bottom of the hill

=[tex]\frac{1}{2}(60)(10)^2+60\times 9.8\times 150-70\times 650[/tex]

=[tex]45700J[/tex]

Hence, she will have kinetic energy at the bottom of the hill=45700 J

What is the equation for speed?
Speed= time + distance
Speed= distance/time
Speed = time/distance
Speed = distance x time

Answers

The 2nd one, Speed = distance/time
2 is the answer to the question

An obect is placed 20cm from a convex mirror of focal length 12cm. where does the image form?

Answers

Answer:

7.5 cm behind the mirror

Explanation:

Applying,

Using the real is positive convection: All real distance from the mirror are positive

1/f = 1/v+1/u................. Equation 1

Where f = focal length of the mirror, v = image distance, u = object distance

From the question,

f = -12 cm, u = 20 cm

substitute these value into equation 1

1/(-12) = (1/20)+1/v

(-1/12)-(1/20) = 1/v

1/v = (-5-3)/60

1/v = -8/60

v = -60/8

v = -7.5 cm

Hence the image is formed 7.5 cm behind the mirror.

why doesn't the arrow fly forever

Answers

Because gravity pulls it down

How much energy is transferred in 10 seconds with a current of 13 amperes and a potential difference of 230 volts?​

Answers

29900 J

Explanation:

Recall that

P = VI

= (230 volts)(13 A)

= 2990 watts

Also,

E = Pt

= (2990 watts)(10 s)

= 29900 J

Please help with this question​

Answers

The answer is unbalanced because the numbers 100n and 300n don’t equal each other. If the answer was balanced the numbers would have to equal each other. Also, the answer net force would only be the answer if we were adding the numbers. I hope this helped you! :)

Answer:

the type of force is Unbalanced force;

As upward force is not equal to downward force.

A TV has a power of 65 watts and an efficiency of 70 percent. How much
power is wasted as heat?
A. 19.5 W
B. 2.2 W
C. 0.9 W
D. 45.5 W

Answers

Option A: 19.5 W

Power of TV = 65Watt

If Efficiency = 70%, then the percentage of energy wasted is 30%

So, the amount of energy getting wasted:

= 30/100 × 65

= 1950/100

= 195/10

= 19.5 W

In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes were sliding toward each other and crashed. The crash caused both boxes to change speed. Based on the information in the diagram, which statement is correct? In your answer, explain what the forces were like and why the boxes changed speed.
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2

Answers

Answer:

The second one.

Explanation:

It caused both to change speed because they have both the same mass.

5 points
1. A rubber-band-powered toy car is loaded by pushing it backward until
the rubber band inside is stretched tight. The child lets it go and the
rubber band turns the wheel, accelerating the car. The force that the
rubber band exerts on the axle is calle... *
O A. Applied Force
B. Electromagnetic Force
C. Gravitational Force
D. Elastic Force

Answers

Answer:

D. Elastic force

Explanation:

Force of elasticity

What is the magnification when an object is placed at 2f from the pole of the convex mirror? 

-2/ 3

-3/2

-1

-1/3​

Answers

Answer:

Linear magnification = 1/3

Explanation:

Given:

Convex mirror

Object's distance from pole = 2f

Find:

Linear magnification

Computation:

Object distance, u = −2f

So,

1/v + 1/u = 1/f

1/v + 1/(-2f) = 1/f

1/v = 1/f + 1/2f

BY taking LCM

1/v = 3 / 2f

v = 2f / 3

Magnification, M = -v / u

So,

Magnification, M = (2f / 3) / 2f

Magnification, M = 2f / 6f

Magnification, M = 2 / 6

Linear magnification = 1/3

 

expalin how waves energy and matter are related

Answers

They are related because waves affect matter. Reflection, refraction, and diffraction. Reflection occurs when wave bounces back from a surface that they cannot pass through. Refraction occurs when waves bend as they enter a new medium at an angle and start traveling at a different speed.

Electronic flash units for camera contain a capacitor for storing the energy used to produce the flash. In one such unit, the flash lasts for 1675s with an average light power output of 2.70 x 105 W . (a) If the conversion of electric energy to light is 95% efficient ( the rest of the energy goes to thermal energy), how much energy must be stored in the capacitor for one flash

Answers

Answer:

420J

Explanation:

Power is the time rate of change in energy. Power is the ratio of energy to time. The S.I unit of power is in watts.

Given that the flash lasts for 1/675 s, power output is 2.7 * 10⁵ W. Hence:

Power = Energy / time

Substituting:

2.7 * 10⁵ W = Energy / (1/675)

Energy = 2.7 * 10⁵ W * 1/675 = 400J

Therefore the energy emitted as light is 400J.

Since the conversion of electric energy to light is 95% efficient, hence the energy stored as electrical energy is:

Energy(capacitor) = 5% of 400J + 400J = 0.05*400 + 400

Energy(capacitor) = 420J

Which term is defined as the ratio of the speed of light in a vacuum to the speed of light in the material it is passing through?


index of reflection


index of refraction


angle of incidence


angle of reflection

Answers

Answer:

The index of refraction

What is the index of refraction?

The index of refraction tells us how much slower or faster light travels from one medium to another.

What is a medium? ⇒ the substance that light passes through

The formula to find the refractive index of a substance is the following:

[tex]n=\dfrac{c}{v}[/tex]

[tex]c[/tex] = the speed of light in a vacuum ([tex]3.00*10^8[/tex] m/s)[tex]v[/tex] = the speed of light in the medium

This makes the index of refraction defined as the ratio of:

the speed of light in a vacuum the speed of light in the material it passes through

Answer:

index of refraction

Explanation:

A bus travels to and from a school that is located 10 km to the west. What is the distance? What is the displacement?

Answers

20 km

Hope this helps Have a good day

A ball is dropped from rest out of a high window in a tall building for 5 seconds. Assuming the we ignore air resistance and assume upwards to be positive. A) What will be the final velocity of the ball B) What is the height of the building if it hits the ground after those 5 seconds. *​

Answers

Answer:

I am not sure if this is the answer

(B) what is the height of the building if it hits the ground after those 5 seconds.

Can any one help plz in the question ?

Answers

Yes, No, yes

mark me brainliestttt :)))

Answer:

yes

no

no

I think Chek the answer

I'm walking 1.6m/s to 7-11 and it started to rain so I sped up to 2.7m/s in 1.2
seconds. What is my acceleration?
a=(vf-viyt
-0.92m/s2
O 01.1m/s2
0.92m/s2
1.1m/s2
1 points
Save A

Answers

Answer:

Explanation:

[tex]a = \frac{v_f-v_0}{t}[/tex] which is the final velocity minus the initial velocity in the numerator, and the change in time in the denominator.  For us:

[tex]a=\frac{2.7-1.6}{1.2}[/tex] so

a = .92 m/s/s (NOT negative because you're speeding up)

HELP PLEASE 20 ;OINTS

Answers

I’m pretty sure it’s C.

Which factor contributes the most to the process of water erosion?
A) evaporation
B) gravity
C) pressure
D) temperature
HELP

Answers

Answer:

Evaporation

Explanation:

Erosion is a natural process, but human activity can make it happen more quickly. Human activity altering the vegetation of an area is perhaps the biggest human factor contributing to erosion. Trees and plants hold soil in place.

Factor that contributes the most to the process of water erosion is Evaporation. The correct option is A.

What is evaporation?

Evaporation is the phenomenon of converting the liquid into gas phase by the addition of heat energy.

Erosion is also a natural phenomenon. Trees and plants hold soil in place and prevents the soil erosion. Just like that, the water erosion happens when more than natural evaporation happens due to increased heat by various factors.

Thus, Evaporation contributes the most to the process of water erosion. The correct option is A.

True or false
scientific research has now proven that atoms are composed of parts that are larger than protons neutrons and electrons

Answers

Answer:

False

Explanation:

parts that are smaller than protons neutrons and electrons

False .......hope this helped you out

a rocket with an initial velocity of 20 m/s fires another engine that gives it an acceleration of 4 m/s2 over 10 seconds. How far did the rocket travel during this time?

Answers

Answer: 400 m

Explanation:

Vf= 20 + (4*10)

Vf= 60 [m/s]

x= (60^2 - 20^2) / (2*4)

x= 400 m

I NEED THIS ASAP I WILL MARK YOU THE BRAINLIEST NO LINKS
Newton's second law states that force is equal to
weight times acceleration
weight divided by mass
mass times weight
mass times acceleration

Answers

Answer:

mass times acceleration

A tire has a tread pattern with a crevice every 2.20 cm. Each crevice makes a single vibration as the tire moves. What is the frequency of these vibrations if the car moves at 38.0 m/s

Answers

Answer:

17.27 Hz

Explanation:

Applying

v = λf................ Equation 1

Where v = speed of the car, λ = Distance between successive crevice, f = number of crevice moved in 1 seconds(Frequency of the vibration)

make f the subject of the equation

f = v/λ............. Equation 2

From the question,

Given: v = 38 m/s, λ = 2.2 m

Substitute these values into equation 2

f = 38/2.2

f = 17.27 Hz

Which of the following represent units of capacitance? You may choose more than one correct answer:

Ampere
coulomb/volt
coulomb/second
Farad
volt/coulomb

Answers

Answer:

Capacitance is a derived physical quantity measured in farad

Answer:

"Farad" is another term for the coulomb/volt measurement of capacitance, so both of those options are the correct answer. Amperes and coulomb/second are measurements of electric flow, in other words, how strong a current is.

best explanation for why oceans have 2 different types of currents

Answers

Answer:

Hunubunununununununnunu

Other Questions
whats the answer. ill make this 20 pts Brooke has finished the first three chapters of a new book. There are 28 pages in the first chapter, 33 pages in the second, and 18 pages in the third. Brooke works out that she has read 79 pages. Does that sound about right? Maya and Zack built the tent below in their backyard how much material did they use to build the tent Which of the following is a CAM profession?O A. Yoga instructorB. PoliticianC. Hair stylistD. Dancer pls pls pls helppp!! I NEED SOMEONE WHO IS A PRO AT COMPUTER SCIENCE CODING LIKE PYTHON AND STUFF TO CREATE A ZOOM AND HELP ME WITH SOMETHING!! :))) PLEASEEE A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk? Two people that have identical weight are holding onto a massless pole while standing on horizontal frictionless ice. 1)If the guy on the left starts to pull on the pole, where do they meet 26. What is the approximate length of RS 718 inS21 inRA. 9.5 inB. 10.8 InC 12.1 InD. 12.8 In PLZZZZZZZZZZZZ help I was up all night finishing homework so can someone please help me answer this one question plz and thank you:). Find the circumference of the given circle given a diameter of 40 cm.Use 3.14 as an approximation of Pi. Help !Which of the following functions are linear?Function A Function b Function a and b Or none of the above James Ryan has been a Budweiser Beer distributor for the past 20 years. James owns a ________ franchise. Estadstica: Luego de entrevistar a diez de los pasajeros que viajaba en el bus que choc intempestivamente contra un poste, se concluy que el chofer era inocente. Identifica la poblacin, la muestra, variable y el tipo de variable. Rebeccas service charge at a beauty salon was $93.60, before tax. The sales tax rate was 8%. If she added 20% of the amount before tax as a tip, how much did she pay for the whole service at the salon? What is the quotient of Two-thirds and StartFraction 2 Over 9 EndFraction? Your high school transcript will include each of these items EXCEPT... The name of your schoolYour GPA calculated with all of the courses youve taken so farA list of your test and quiz grades in each courseThe courses youve taken and when you took them please help and all you can 1 to 9 How many moles are 4.20 * 10 ^ 25 atoms of Ca? y - 4.6 = 12Pls help PLEASE HELP!A news story needs to be shared 1,500,000 times in 5 days to get featured on a talk show. The exponential model y=57x represents the number of shares, y, a news story receives in x days.About how many days will it take for a news story to reach 1,500,000 shares?