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

If a positively charged rod is brought near the knob of a positively charged electroscope, the leaves of the electroscope will...
A) converge, only
B) diverge, only
C) first diverge, then converge
D) first converge, then diverge

Answers

I think it’s gonna be A.

Answer:

B

Explanation:

if a positively charged rod is brought near the knob of a neutral electroscope, it will attract some electrons up from the leaves onto the knob. That process causes both of the leaves to be positively charged (excess protons), and the leaves will diverge.

I WILL MARK YOU THE BRAINLIEST NO LINKS
What type of friction is acting on the airplane?
sliding friction
static friction
fluid friction
rolling friction

Answers

Answer:

I believe it's sliding friction.

Explanation:

As shown in the diagram below, a 1 kg rock tied to a rope is
swung by a boy. This rock has a constant speed of 5 m/s,
and the length of the rope is 1 m. The rock's angular
momentum is

Answers

Answer:

Explanation:

Angular momentum has a formula of L = mvr. Fillingin:

L = (1.0)(5.0)(1.0)

L = 5.0 kg*m/s

Please hurry Describe why electric currents can be dangerous

Answers

Answer:

Cardiac Arrest, burns, and nerve damage.

Explanation:

Basically, the main risk is cardiac arrest, caused by the electric current interfering with the normal operation of the heart muscle. Other possible damages are burns due to the electric energy vaporizing the water inside the cells, and nerve damage caused by excessive current through the nerves.

Electrical current is the flow of ____________
A) helium
B) protons
C) atoms
D) electrons

How much voltage is required to make 0.56 A flow through a 72-ohm resistance? [V = I x R]
A)48 V
B)36 V
C)40 V
D)52 V
WILL GIVE BRAINLIEST!!!

Answers

Solution :

A) Electric current is the flow of electrons .

B) We know, by ohm's law :

V = I × R

Putting given values in above equation, we get :

V = 0.56 × 72 V

V = 40.32 V

Hence, this is the required solution.

on a proton is 1.6×10`¹⁹. how many protons are in one coulomb of charge​

Answers

Answer: There are [tex]6.25 \times 10^{18}[/tex] protons present in one coulomb of charge​.

Explanation:

Given: Charge on proton = [tex]1.6 \times 10^{-19} C[/tex]

It is known that the charge on a proton is equal to the charge present on an electron.

Formula used to calculate number of protons is as follows.

Q = ne

where,

Q = charge considered

n = number of protons

e = charge on electron or proton

Substitute the values into above formula as follows.

[tex]Q = ne\\1 C = n \times 1.6 \times 10^{-19} C\\n = 0.625 \times 10^{19}\\= 6.25 \times 10^{18}[/tex]

Thus, we can conclude that there are [tex]6.25 \times 10^{18}[/tex] protons present in one coulomb of charge​.

Which statement best describes the Sun Earth-Moon system?

Answers

Answer:

A

Explanation:

A. The Moon orbits the Earth, and the Earth-Moon system orbits the Sun

B. The Earth and Moon both orbit the Sun separately

C. The Sun orbits the Earth-Moon system

D. The Moon revolves around Earth but not the Sun

what is the power of a student that has done a work of 10 joules in 10 seconds​

Answers

Answer:

1 Watt

Explanation:

P=W/t

P=10/10

P=1 Watt

What is the period of a sound wave with a frequency of 20Hz?

Answers

Answer is 0.05

Explanation

Physicist ____ was found to have completely made up some of the data on which his astounding discoveries were made.

Answers

Answer:

Jan Hendrik Schön I believe

write the application of gravitational force​

Answers

Answer:

Applications of Gravitational Force:

Gravity keeps your feet on the ground. Gravity holds the air down. Gravity makes the Earth roughly spherical. Gravity keeps the Moon (and all those artificial satellites) orbiting around the Earth. Gravity keeps the Earth orbiting around the Sun and the Sun orbiting around the galactic centre. Gravity creates the water pressure that runs hydroelectric turbines at the bottom of dams. Gravity brings the rain back down after it evaporates into the atmosphere.

A train moving west with an initial velocity of 20 m/s accelerates at 4 m/s2 for 10 seconds. During this time, the train moves a distance of
meters.

Answers

Answer:

400 m

Explanation:

Use s=ut+1/2at^2

Answer:

400 m

Explanation:

Describe how to determine the thickness of a sheet of a paper without a caliper.​

Answers

Answer:

Divide the total measurement of the stack/ream of paper by the number of sheets. For example: 2 inches/100 pages = 0.01-inches sheets.

In case you measured the stack, and it gave you less than an inch, then you need to do the same. For example: 0.5-inches/100 sheets = 0.005-inches per sheet.

Answer:

Divide the total measurement of the stack/ream of paper by the number of sheets. For example: 2 inches/100 pages = 0.01-inches sheets.

In case you measured the stack, and it gave you less than an inch, then you need to do the same. For example: 0.5-inches/100 sheets = 0.005-inches per sheet.

Explanation:

Pop up spring Lab
Describe the energy conversion that took place. What energy was present just before the jump? What energy is present at its maximum height? What happens in between?
Draw bar charts of energy before the jump, while the spring toy is compressed and after the jump at the maximum height of its jump. Be sure to label each type of energy.

Answers

Answer:

I honestly don't know but that thing looks cool lol

a 5 kg block is on a frictionless surface. A 15 N force is applied to the block in a direction parallel to the surface. what is the acceleration of the block?
A. 3 m/s^2
B. 10 m/s^2
C. 20 m/s^2
D. 75 m/s^2

Answers

Answer:

D 75

Explanation:

I'm pretty sure it's just 5x15=75

Answer:

the answer would be 3/s^2

Explanation:

because all u have to do is divide 15 by 5 and u would get 3

?????? ?????help please

Answers

the answer is d. cassani

A spring with a spring constant of 2.5 N/m is stretched by 0.2 m. What is the potential energy in the spring

Answers

Answer:

Explanation:

PE = [tex]\frac{1}{2}k[/tex](Δ[tex]x^2[/tex])

where k is the spring constant and Δx is the displacement of the spring when an object is hung from it. Plugging in:

[tex]PE=\frac{1}{2}(2.5)(.2^2)[/tex] which gives us

PE = .05 J

walk done in units time is called​

Answers

Answer:

Explanation:

work done per unit time is caleed power.it's SI unit is watt.it depends upon time.

What would happen to the distance between the bright fringes produced by a diffraction grating if the entire interference apparatus (light source, grating, and screen) were immersed in water

Answers

Answer:

Since the wavelength would be reduced by the factor of N where N is the index of refraction, fringes would be be closer to one another.

(Similar to the difference of fringes of red light and blue light.)

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


A skipper on a boat notices wave crests passing the anchor chain every 6.0 seconds. The skipper estimates the distance between crests at 30.0
m. What is the speed of the water waves?

Answers

Explanation:

given Time Period = 5 Sec

Amplitude = 1m, Wave length = 15 m

using time period = 1/ frequency , Frequency = 1/5 cycles per sec = 0.2 sec = 12 per min

wave speed= Frequency * Wave length

speed = 0.2*15 = 3m/s

A charge Q acts on a point charge to create an electric field. Its strength, measured a distance of 40 cm away is 100 N/C. What is the magnitude of the electric field strength at a distance of 20 cm

Answers

Answer:

[tex]E_2=80N/C[/tex]

Explanation:

From the question we are told that:

Initial Distance [tex]d_1=40cm=>0.4m[/tex]

Initial Electric field strength [tex]E_1=100N/C[/tex]

Final Distance [tex]d_2=20cm=>0.20m[/tex]

Generally the equation for Electric field is mathematically given by.

 [tex]E=\frac{kq}{d^2}[/tex]

 [tex]q=\frac{100*(0.4)^2}{K}[/tex]

Substituting q for [tex]d=20cm[/tex]

 [tex]E_2=\frac{k}{0.2}*\frac{100*(0.4)^2}{K}[/tex]

 [tex]E_2=80N/C[/tex]

difference between acceleration due to gravity and gravity​

Answers

Answer:

The gravitational force between earth and any object is known as gravity.

...

What would make oppositely charged objects attract each other more?
increasing the positive charge of the positively charged object and increasing the negative charge of the
negatively charged object

decreasing the positive charge of the positively charged object and decreasing the negative charge of the
negatively charged object

increasing the distance between the positively charged object and the negatively charged object

maintaining the distance
tance between the positively charged object and the negatively charged object

Hurry I need answers quick I’m timed

Answers

Answer:

A). Increasing the positive charge of the positively charged object and increasing the negative charge of the negatively charged object.

Explanation:

The two objects possessing opposite or unlike charges attract one another due to the electromagnetic force between the electrons, as well as, protons in order to develop ionic lattices.

As per the question, the objects having unlike charges would attract one another more when we 'escalate the positive charge of the object having a positive charge and enhance the negative charge of the object possessing negative charge.' This will lead the atoms that are losing electrons to be positively(+ve) charged and the atoms gaining electrons to be negatively

(-ve) charged. Thus, the electromagnetic force among them increases and a stronger ionic network develops leading them to attract each other more. Hence, option A is the correct answer.

Answer:

The person above me is wrong the answer is actually B

Explanation:

I put his/her answer and got it wrong and it showed me theat the answer is b not a

what is the lowest frequency of a standing wave that has the fewest number nodes and antinodes​

Answers

Answer:

Fundamental frequency

A table is moved using 60 N of force.
How far is the table moved if 900 J of work is done on the table?
960 m
840 m
15 m
0.06 m

Answers

Answer:

15m

Explanation:

W=f×s

[tex]s = \frac{w}{f} \\ s = \frac{900j}{60n} \\ s = 15m [/tex]

The table moved "15 m".

Given:

Force,

F = 60 N

Work done,

W = 900 J

We know,

→ [tex]W = F\times s[/tex]

or,

→ [tex]s = \frac{W}{F}[/tex]

By putting the values, we get

      [tex]= \frac{900}{60}[/tex]

      [tex]= 15 \ m[/tex]

Thus the above response i.e., "Option c" is right.

Learn more about work done here:

https://brainly.com/question/8625856

Mark was traveling at 40 mph on a road with a drag factor of 0.85. His brakes were working at B0o/o efficiency. To the nearest tenth of a foot, what would you expect the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop

Answers

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

The given parameters:

Speed of Mark, v = 40 mphDrag factor, F = 0.85Working efficiency of the brake, n = 80%

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is calculated as follows;

[tex]v = \sqrt{30 D fn} \\\\40 = \sqrt{30 \times D \times 0.85 \times 0.8} \\\\40 = \sqrt{20.4 D} \\\\40^2 = 20.4D\\\\1600 = 20.4 D\\\\D = \frac{1600}{20.4} \\\\D = 78.43 \ ft[/tex]

Thus, the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

Learn more about length of a skid mark here: https://brainly.com/question/16914218

You are given two converging lenses to build a compound microscope. Lens A has focal length 0.50 cm and lens B has focal length of 3.0 cm. Which one of the two lenses would you use for the objective

Answers

Answer:

The lens to be used for the objective is lens A

Explanation:

The objective of a compound microscope

The focal length of the lens used for the objective = 1/(magnification obtained)

The focal length of most modern is equal to the tube length

The range of sizes for the focal length of a microscope is between 2 mm and 40 mm

Therefore, the appropriate lens to be used for the objective of the compound is lens A that has a focal length of 0.50 cm = 5 mm

Which is a valid ionic compound?

sodide chlorine
sodium chlorine
sodium chloride
sodide chloride

Answers

Answer:

sodium chloride

Explanation:

Sodium chloride is an ionic compound. The ions of the sodium chloride compound is sodium ion and chloride ion.  The sodium ion is cation while the chloride ion is an anion. Sodium chloride is a very stable compound because of the mutual attraction of oppositely charged ions.

A 15-watt bulb is connected to a circuit that has a total of 60. Ω of resistance. How many electrons are passing through that bulb every second?

Answers

Answer:

3.2075*10^16

Explanation:

Q=P/V just search up a converter and youll get 30V and so you do 15/30 which is a half and a single coulomb is 6.415*10^16 so you half it. I belive this is correct if you dont belive me wait for someone else smarter to answer and compare.

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