The range of a target is found to be 20km. A shell leaves a gun with a velocity of 500m/s . What must be the angle of elevation of the gun if the ground is level

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Answer 1

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

The shell experiments a parabolic motion, which is a combination of horizontal uniform motion and vertical uniform accelerated motion. If initial height of the shell is the same that its final height, then the range of the shell ([tex]d[/tex]), in meters, is described by the following expression:

[tex]d = \frac{v^{2}}{g}\cdot \sin 2\theta[/tex] (1)

Where:

[tex]v[/tex] - Initial speed of the shell, in meters per second[tex]g[/tex] - Gravitational acceleration, in meters per square second[tex]\theta[/tex] - Angle of elevation, in sexagesimal degrees

If we know that [tex]v = 500\,\frac{m}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]d = 20000\,m[/tex], then the angle of elevation is:

[tex]\sin 2\theta = \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{(20000\,m)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{\left(500\,\frac{m}{s} \right)^{2}}[/tex]

[tex]\theta \approx 25.840^{\circ}[/tex]

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

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Related Questions

whats 1+0 n3rje'hefruhhhhhhhhhhhhhhhhhhhhhhhhtrrrrrrrrrrrrr

Answers

Answer:

1

Explanation:

cause 1+0=1

How to convert acceleration to velocity.

Answers

You can't. Velocity and acceleration measure two different things, so their units are incompatible. It's like asking, "How many meters does this book weigh?"

Maybe you mean "find" acceleration using given velocities, or a velocity function?

Which two events are part of the rock cycle?
A. Existing rock is melted aboveground and erodes.
B. Existing rock is weathered by water and erodes.
C. Solid rock is heated under high pressure and melts.
D. Solid ice is warmed by sunlight and evaporates.

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Answer:

Explanation:

What is the ideal temperature for a lithium-ion battery?.

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Answer:

16 to 25 degrees f

Explanation:

A boy on a bicycle drags a wagon full of newspapers at 0.80 m/s for 30 min (1800 s) using a force of 40 N. How much work has the boy done

Answers

Answer:

N133A

Explanation:black

HELP
How much heat energy is required to raise the temperature of 37.5g of water from 23.0°C to 55.2°C? The specific heat for water is 4.184 J/g°C. (Include your calculation to receive credit.)

Answers

Answer: 5.05 J

Explanation:

Qcalorimeter: m*c* ΔT  --> (37.5g)*(4.184J/g ° C)*(55.2 °C – 23.0 °C)    Qcalorimeter: 5.05 J

According to specific heat capacity, 5.052 kJ of heat energy is required to raise the temperature of 37.5 g of water from 23.0°C to 55.2°C.

What is specific heat capacity?

Specific heat capacity is defined as the amount of energy required to raise the temperature of one gram of substance by one degree Celsius. It has units of calories or joules per gram per degree Celsius.

It varies with temperature and is different for each state of matter. Water in the liquid form has the highest specific heat capacity among all common substances .Specific heat capacity of a substance is infinite as it undergoes phase transition ,it is highest for gases and can rise if the gas is allowed to expand.

It is given by the formula ,

Q=mcΔT

Substitution in above formula, givesQ= 37.5×4.184×32.2=5052.18 J or 5.052 kJ.

Thus , 5.052 kJ of  heat energy is required to raise the temperature of 37.5g of water from 23.0°C to 55.2°C.

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State the general purpose of an experiment, using the terms dependent and independent variable

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Answer:

Image result for State the general purpose of an experiment, using the terms dependent and independent variable

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable

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How do air particles move above a candle flame

Answers

It circulates. As warm air moves up, cooler air rushes in at the bottom of the flame. Once the cooler air is heated, it then rises up (like before) and is replaced by cooler air at the base of the flame.

A truck with a mass of 1500 kg is decelerated at a rate of 5m/s2.how much force did this require ?

Answers

Answer:

6500N

Explanation:

F = ma so therefore Were given mass (m) = 1500 kg, acceleration (a) = 5 m/s2, well have to calculate the force to be:

1500 x 5 = 6500 N

Examples of energy conversion in daily life

Answers

Answer:

Energy conversion, also termed as energy transformation, is the process of changing one form of energy into another. Energy conversion occurs everywhere and every minute of the day. There are numerous forms of energy like thermal energy, electrical energy, nuclear energy, electromagnetic energy, mechanical energy, chemical energy, sound energy, etc. On the other hand, the term Energy Transformation is used when energy changes forms from one form to another. Whether the                                                                    energy is transferred or transformed, the total amount of energy doesn’t change and this is known as the Law of Conservation of Energy.

Explanation:

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why would a balloon attract your hair without touching it?

Answers

Answer:

Hold the balloon (negatively charged) just above your head so your hair (positively charged) will be attracted to it and stand up on end. ... The can will start to roll towards the balloon without touching it. The negatively charged balloon repels the electrons of the can so that a positive charge is near the balloon.

Explanation:

I gave my explanation along with the answer.

what is cheetah speed and strength?

Answers

Answer:

Speed: 109.4–120.7 km/h (68.0–75.0 mph)

Strength: Couldn't find out.

Explanation:

In motion pictures, what do you call the lens manipulation where the focus quickly changes from one subject to the next in a motion picture

Answers

Answer:

A film transition is a technique used in the post-production process of film editing and video editing by which scenes or shots are combined. Most commonly this is through a normal cut to the next shot. Most films will also include selective use of other transitions, usually to convey a tone or mood, suggest the passage of time, or separate parts of the story. These other transitions may include dissolves, L cuts, fades (usually to black), match cuts, and wipes.

Explanation:

You get in your car after work and turn on the radio. What type of communication does the radio use?.

Answers

Answer:

Radio waves

Explanation:

The radio operates by the principles of radio wave.

Electromagnetic wave is a type of wave which does not require material medium for its propagation. A radio wave is an example of electromagnetic wave.

The radio operates in the principle of electromagnetic wave because it does not require material medium for its propagation and it has one of the longest frequency of electromagnetic spectrum.

Thus, we can conclude that the radio operates by the principles of radio wave.

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In the diagram below if bulb 2 blew out what would happen to the VOLTAGE? (it’s not decreases that’s why it’s highlighted)

Answers

Answer:

apagado, así que lo más destacado es el problema, oh, está bien, esa es la respuesta, cariño.

Tiny mass of 67kg and tubby mass of 83 kg are now on the opposite ends of a see saw and are both 1.4m from the balance point where should their sister teeny whose mass is 32 kg sit so the see saw balances

Answers

Answer:

0.7 m between the balance point and Tiny

Explanation:

It's intuitive to say she sould be on the side the smaller mass is placed. How far from the balance point?

Let's call x that distance. and assume that the contraption is "oriented" so that being on the side with tiny (and teeny) gives you a positive distance from the balance point, and negative on the other side.

At equilibrium, the sum of all momentums (momenta?) will be zero:

[tex]67\times 1.4 +32\times x + 83 \times (-1.4) = 0\\32x -16(1.4) = 0 \rightarrow 2x=1.4 x= 0.7[/tex]

In layman's term, she has to be halfway between the balance point and Tiny.

Help me quick!!! please!!

Calculate the power of an engine which raises a mass of 1000 kg to a height of 40 m in 10 s.

Answers

Answer:

39.240 W

Explanation:

Let's start by calculating the work done by the engine. We can assume that it is the same work done by the weight of the object to bring it from 40m to the surface: as much energy it takes to bring it up, the same ammount it takes to bring it down. Said work is [tex]w= \vec F\cdot \vec{h} = mg h = 1000 \times 9.81\times 40 = 392.400 J[/tex]

At this point we can simply apply the definition of power, that is [tex]P = \frac wt[/tex], to get the power of the engine is [tex]39.240 W[/tex]

Answer:

P=39200W

Explanation:

P=(mgh)/t

P=(40×9.8×1000)/10

P=39200W

are hotspots active vocanclos

Answers

Answer:

Yes

Explanation:

Thus, as a plate moves over the location of a plume eruption, it carries successively older volcanoes with it. As hotspot volcanoes are transported by plate motion away from the mantle plume, hotspot volcanism ceases. Eventually the hotspot volcanoes become extinct, gradually subside, and are eroded by wave action.

Have the best day! :D

Answer:

yes

Explanation:

Thus, as a plate moves over the location of a plume eruption, it carries successively older volcanoes with it. As hotspot volcanoes are transported by plate motion away from the mantle plume, hotspot volcanism ceases. Eventually the hotspot volcanoes become extinct, gradually subside, and are eroded by wave action.

hope this helps!

How much energy must be transferred out of the system as heat q to lower its temperature to 0∘c?.

Answers

Answer:

2.20 × 104 J

Explanation:

How much energy must be transferred out of the system as heat Q to lower its temperature to 0?C? ANSWER Q = 2.20 x 10^4. Cooling Power of P is 36.6 W.

using the methos of dimensions derive an expression for the centripetal force f acting on a particle of mass m mivingv with velocity v in a circle of radius r? ​

Answers

Answer:

According to the Question:

[tex]\footnotesize\implies F \propto [m]^x [v]^y [r]^z[/tex]

[tex]\footnotesize\implies F =k [m]^x [v]^y [r]^z \:...(i)[/tex]

K = Dimensionless Constant

Now, substituting Dimensions of each physical quantity in equation (I):

[tex]\footnotesize\implies [M^1L^1T^{-2}] =[M^1L^0T^0]^x [M^0L^1T^{-1}]^y [M^0L^1T^0]^z[/tex]

[tex]\footnotesize\implies [M^1L^1T^{-2}] =[M]^x [L]^{y + z} [T]^{ - y}[/tex]

On comparing the powers of LHS and RHS:

[tex]\implies \bf x = 1[/tex]

[tex]\implies - y = - 2[/tex]

[tex] \implies \bf y = 2[/tex]

[tex]\implies y + z = 1[/tex]

[tex]\implies z = 1 - 2[/tex]

[tex]\implies \bf z = - 1[/tex]

[tex]\footnotesize\implies F = [m]^x [v]^y [r]^z[/tex]

[tex]\footnotesize\implies F = [m]^1 [v]^2 [r]^{ - 1}[/tex]

[tex]\implies\footnotesize \underline{ \boxed{ \bf \red{ F = \frac{m {v}^{2} }{r} }}}[/tex]

Physics Physics Physics - 10​

Answers

Answer:Pulley , Wheel and axle , Screw , wedge , Incline

Explanation:

Answer: below .

Explanation:

Pulley , Wheel , axle , Screw , wedge , Incline

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .


How fast should a girl of 35 kg run so that her kinetic energy becomes 700J
of?

Answers

V^2 = 700J/0.5*35kg

V = square root of 40

v = 6.324 m/s

Answer:

√40m/sec

Explanation:

As we know Kinetic energy = 1/2 mv^2

700 = 1/2 x 35 x v^2

1400/35 = v^2

√40 = v

So v, √40m/sec

Hope this helps you.

the place from which motion is observed and measured is called

Answers

Answer:

A frame of reference is the location from which motion is perceived and measured. For all observers, the speed of light remains constant.

Explanation:

The place from which motion is observed and measured is called frame of reference .

What is a frame of reference?

Frame of reference is an abstract coordinate system whose origin , orientation , and scale are specified by a set of reference points .

The place from which motion is observed and measured is called frame of reference . The set of conditions that determine how to approach or observe something will depend on its reference frame .

In order to know the change in position of an object , a reference point is required . example : in a cartesian system origin is the reference . With respect to origin only every other things are observed .

A coordinate system with time frame is called frame of reference

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Se aplican dos fuerzas concurrentes a un objeto de 4N a la derecha y 5N a la izquierda. ¿Hacia donde se movió y con cuanta fuerza?

Answers

The forces move strongly towards the left by 1N

Given the following

Force towards the right = 4N

Force towards the left = 5N

Note that the force acting towards the left is negative, hence the force acting towards the left is -5N

Take the sum of force

Resultant force = -5N + 4N

Resultant force = -1N

This shows that the forces move strongly towards the left by 1N

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What type of energy transfer causes a sunburn?

Radiation, because particles of hot air move in space
Radiation, because electromagnetic waves transfer heat
Conduction, because hot air comes in contact with the skin
Conduction, because invisible light carries heat from the sun


Pacificaly what is the right answer A? B? C? or D? which one

Answers

Answer:

radiation

Explanation:

Answer:

B is most likely forgive me if im wrong

Explanation:

A negative charge is paced in an electric field that points west. What direction is the force on the negative particle?

Answers

Answer:

A positive charge placed in an electric field will tend to move in the direction of the electric field lines and a negative charge will tend to move opposite to the direction of the electric field lines.

One way to remember this is that there is one velocity, and so the thumb represents it. There are many field lines, and so the fingers represent them. The force is in the direction you would push with your palm. The force on a negative charge is in exactly the opposite direction to that on a positive charge.

Explanation:

Answer:

The force of the negative particle direction is East.

If you pass an electric current through an iron nail, you will create an electromagnet. This magnet will pick up small objects, thus demonstrating that electrical energy can be converted into mechanical energy. Is there a way to use this principle to create a motor?

Answers

An iron nail, when it loses its magnetism, often iron behaves as a magnet when electric current flows only through the coil of insulated wire wrapped around it. There is therefore, a way to use this principle to create a motor.

An electromagnet is said to be created if a known current is passed through a coil of wire gathered around an iron nail.

The principle is often used to make an electric motor by creating a  current that is moving coil into a movable core that is attached to a spring.

If a current flows through a wire, electrical energy is said to be converted into different kinds of energy such as  heat in a heating element, etc. The electric current could also be transformed or made to create a mechanical energy, which is what happens in an electric motor.

A motor is simply known as a generator working in reverse. This can be liken to a motor when a wire is put in between the two paper clips that are connected to the battery.

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What does the universe look like on very large scales?

Answers

Answer:

it looks like dots and just black space on a large scale

Explanation:

on a large scale the universe especially our milky way looks small

hope this helps  

what happens to light in an object that is translucent?

Answers

Translucent objects allow some light to travel through them. The light does not pass directly through the materials. It changes direction many times and is scattered as it passes through. Therefore, we cannot see clearly through them and objects on the other side of a translucent object appear fuzzy and unclear.

A student tested a variety of interacting forces to determine how they would result in motion of an object. If the student used the forces as shown in the lettered choices above, predict which results would occur. Select ALL that apply.A) The variable shown by letter B would result in a movement of the object to the left. B) The variable shown by letter B would result in a movement of the object to the right. C) The variable shown by letter A would result in a movement of the object to the right. D) The variable shown by letter C would result in a movement of the object to the right. E) The variable shown by letter D would result in a movement of the object

Answers

Answer:

A, D, C

Explanation:

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