A gun kept on a straight horizontal road is used to hit a car travelling on the same road away from the gun at a uniform speed of 14.14 ms -1. The car is at a distance of 150 m from the gun when it is fired at an angle of 45° to the horizontal. What is the distance of the car from the gun when the shell hits it?

Answers

Answer 1

Answer:

250 m

Explanation:

In projectile, range is given as;

R = (v²sin 2θ)/g

We are given θ = 45°

Thus range of shell is;

R = (v²sin (2 × 45))/g

R = v²/g

Now, distance for the shell to hit the car will be; 150 + 14.14t

This will be equal to the range of shell;

150 + 14.14t = v²/g

Where t is time of flight

Now, time of flight is given by;

t = (2vsin θ)/g

t = (2v sin 45)/g

In surf form, we have;

t = (2v/(g√2))

Simplifying further gives;

t = (v√2)/g

Plugging this value of t into the distance equation gives;

150 + 14.14(v√2)/g = v²/g

Assuming g is 10 m/s², we have;

150 + 14.14(v√2)/10 = v²/10

Multiply through by 10 to get;

1500 + 14.14(v√2) = v²

v² - 20v - 1500 = 0

From quadratic equation calculator, we have; v = 50 m/s

Thus, t = (50√2)/g

t = (50√2)/10

t = 5√2

Plugging this into the distance equation gives;

Distance = 150 + 14.14(5√2) = 250 m


Related Questions

is an atom with one valence electron more reactive than an atom with two electrone? ​

Answers

Answer:

An atom with a closed shell of valence electrons (corresponding to an electron configuration s2p6) tends to be chemically inert. An atom with one or two valence electrons more than a closed shell is highly reactive, because the extra valence electrons are easily removed to form a positive ion.Explanation:

what is universe made off​

Answers

Answer:

I mean, correct me if I'm wrong for some reason, but I think its Matter?

Answer:

The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.

Explanation:

The specific heat capacity of water is 4,200 J/kg °C.

Calculate the thermal energy that must be
absorbed by 1.4 kg of water to increase its
temperature by 25 °C.

help TvT​

Answers

It’s a simple formula
Q = m*c*Δt
M being mass
C being specific heat
Δt being change in temperature

Q = (1.4kg)(4,200J/kg*C)(25C)
Kilograms and Celsius cancels and you get 147,000 Jules aka 1.47 x 10^5 J

A rubber band is shot parallel

Answers

Huh what are you asking

Explain why the nucleus is very dense BRAINLIEST

Answers

Size and Mass of the Nucleus
Electrons have virtually no mass, but protons and neutrons have a lot of mass for their size. As a result, the nucleus has virtually all the mass of an atom. Given its great mass and tiny size, the nucleus is very dense.

When you must add three vectors together, what is not true this process? You must only give a magnitude of the resultant vector It does not matter what order you add the vectors You can move the vectors parallel to each other You must connect the head of each vector with the tail of the next vector

Answers

The addition of any numbers of vector provide the magnitude as well as the direction of the resultant vector, hence the mentioned first option is not true.

The addition of vector required to connect the head of the one vector with the tail of the other vector and any vector can be moved in the plane parallet to the previous location, so, the mentioned second and third options are true.

with a velocity of 15 m/s, how long would it take the dog to run 100 meters?

Answers

Answer

6.66 seconds imma seem like an idiot if something like this is werong

Explanation:

dogg is speed

100/15

Answer:

6.67 s

Explanation:

Assuming that the velocity is constant, then the governing equation in this case is:

Distance = Velocity x Time

or

Time = Distance / Velocity

= 100 / 15

= 6.67 s

A climber of mass m slides down a vertical rope with an average acceleration a. What is the average frictional force exerted by the rope on the climber?

Answers

Answer:

m(g - a)

Explanation:

Since he slides with a mass 'm' and acceleration of "a", it means he is sliding in the position of gravity. Thus, Force = ma

Now, the force due to gravity = mg

The overall acceleration of the climber is downward along the rope. So "ma" is negative. Now, the only external forces acting on the person will be the force of gravity acting downward (W = mg) and the supporting Frictional Force F_f.

Thus, the net average frictional force of exerted by the rope on the climber will be;

mg - F_f - ma = 0

F_f = mg - ma

F_f = m(g - a)

Answer Choices:
A
B
C
D
E
F

Answers

Answer:

B, C

Explanation:

hi! at point A, D, and F, the object is at a constant speed because the line is horizontal. at point E, the object's speed is increasing because of the line's positive slope. B and C show the object slowing down because the line has a negative slope.

hope this helps!

A hockey stick strikes a hockey puck of mass 0.17 kg. If the force exterted on the hockey puck is 35.0 N and there is a force of friction of 2.7 N opposing the motion. what is the acceleration of the hockey puck?

Choices:
0.0054 m/s^2
0.005 m/s^2
200 m/s^2
190 m/s^2

Answers

Answer:

[tex]a=190\ m/s^2[/tex]

Explanation:

Mass of a hockey puck, m = 0.17 kg

Force exerted by the hockey puck, F' = 35 N

The force of friction, f = 2.7 N

We need to find the acceleration of the hockey puck.

Net force, F=F'-f

F=35-2.7

F=32.3 N

Now, using second law of motion,

F = ma

a is the acceleration of the hockey puck

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{32.3}{0.17}\\\\a=190\ m/s^2[/tex]

So, the acceleration of the hockey puck is [tex]190\ m/s^2[/tex].

The magnitude of acceleration of the hockey puck is 190 m/s² .

Given data:

The mass of hockey puck is, m = 0.17 kg.

the magnitude of external force on the puck is, F = 35.0 N.

The magnitude of force of friction is, f = 2.7 N.

We need to find the net force acting on the puck first. For that consider the applied force in the x-direction. Then net force is,

F' = F - f

Solving as,

F' = 35.0 - 2.7

F' = 32.3 N

Now, use the Newton's Second law to obtain the magnitude of acceleration (a) as,

F' = ma

Solving as,

32.3 = 0.17 (a)

a = 32.3/0.17

a = 190 m/s²

Thus, we can conclude that the magnitude of acceleration of the hockey puck is 190 m/s² .

Learn more about the Newton's law of motion here:

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1
Two beaker of water A and B , initially are at the same temperature.The temperature of the

water in beaker A is increased by 10F and the temperature of water in beaker B is increased

10 K. After these temperature change,which beaker of water has the higher temperature?​

Answers

Answer :

beaker A , it is because the temperature increases is higher than beaker B.

Formula

(10°F − 32) × 5/9 + 273.15 = 260.928K

10 degrees fahrenheit = 260.928 kelvins

Formula

(10K − 273.15) × 9/5 + 32 = -441.7°F

10 kelvins = -441.67 degrees fahrenheit

beaker A , 10°F = -12.222 °C

beaker B , 10k = -263.15 °C

 

Beaker A of water will have a higher temperature than the temperature of beaker B.

How to change the temperature from Fahrenheit to Celcius?

To convert the temperature Fahrenheit to Celsius formula is used from the scale Fahrenheit to Celsius. Both scales provide a way to measure the object’s hotness and coldness and are used to measure the temperature. The symbol used to express Fahrenheit is °F while the symbol used for Celsius is °C.

The formula used to change the temperature from Fahrenheit to Celsius as follows:

°C = (°F- 32)5/9

The temperature of beaker A  is increased by 10°F. So the change in temperature in the Celcius scale is :

T(°C) = (10- 32)5/9

T(°C) =  -12.22°C

The temperature of beaker B  is increased by 10 K, then the temperature in Celcius is:

T(°C) = 10 - 273.15

T(°C) = - 263.15°C

Therefore, the temperature of beaker A will be higher after these changes if initially, both are at the same temperature.

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#SPJ2

A bus travels at a constant speed of 40.0 m/s for .8h. Whats the total distance travelled in km.

Answers

Answer:

1,152 km. Hope this helps!

Explanation:

Marion is on a train that travels 10 m/s and takes 2 seconds to slow to 5 m/s. How would you correctly calculate the acceleration?

Answers

Explanation:

t=2s

u=10

v=5

a=?

v=u+at

5=10+2a

2a=-5

a=-2.5

100 kg = how many pounds

Answers

Answer:

220.462 pounds exact but you can round to 220 pounds

Explanation:

You have finished running a marathon and you are relaxing and your body is
slowing down. What part of the autonomic nervous system is at work?
A. Sympathetic
B. Aphasic
C. Parasympathetic
D. Encoding
SUBMIT

Answers

I believe the correct answer is C good luck!

A dog barks in a park and hears its echo after 0.5 seconds. The sound of its bark got reflected by a nearby building. The sound of speed in air is 346 m/s. The distance between the dog and the building is

Answers

Answer:

the answer is 173 m/s

Explanation:

the the sound traveled from the dog to the building and back to the dog in 0.5 seconds, every second passes the sound travels 346 m/s but if half a second passes then we divide 346 by 2 and get 173 m/s.

If the radio waves that are sent from the speed gun have a frequency of 400,000,002 Hz and the radio waves reflected off an approaching car have a frequency of 400,000,109 Hz, what is the speed of the car? (Hz is the SI unit of frequency, equal to cycles per second).

Answers

Answer:

40.1 m/s or 144.36 km/h

Explanation:

The equation is (v=∆ f/f) x (c/2)

V is velocity

delta f is returned frequency minus intial frequency divided by the initial frequency

c is the speed of light in m/s divided by 2

v= (400,000,109 Hz - 400,000,002 Hz)/400,000,002Hz x (299,792,458 m/s)/2

A rock falls from rest off a high cliff. How far has the rock fallen when its speed is 39.2 meters per second?

( plss I need help lol)

Answers

I can help you. v^2=2as
39.2^2 = 2 x 9.8 x s
S= 78.4 m

The rock fell as far as 78.4 meters.

Given the following data:

Initial speed = 0 m/s (since the rock fell from rest). Final speed = 39.2 m/s

We know that the acceleration due to gravity (a) for an object is equal to 9.8 meter per seconds square.

To find how far (distance) has the rock fallen, we would use the third equation of motion;

[tex]V^2 = U^2 + 2aS[/tex]

Where:

V is the final speed. U is the initial speed. a is the acceleration. S is the distance covered.

Substituting the given parameters into the formula, we have;

[tex]39.2^2 = 0^2 + 2(9.8)S\\\\1536.64 = 0 + 19.6S\\\\19.6S = 1536.64\\\\S = \frac{1536.64}{19.6}[/tex]

Distance, S = 78.4 meters.

Therefore, the rock fell as far as 78.4 meters.

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what does it mean mechanical advange is less than one?

Answers

Answer:

this happens when the input force is greater than the output force

HOPE IT HELPED YOU...


me·chan·i·cal ad·van·tage
noun
the ratio of the force produced by a machine to the force applied to it, used in assessing the performance of a machine.

What is linear motion?

Answers

Answer:

Linear motion is a one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension.

Explanation:

Linear motion is a one-dimensional motion along a straight line

Explain the energy needed for a liquid to evaporate into gas

Answers

As the molecules at the surface of a liquid absorb heat, they begin to move around more quickly. This gives them the energy to break the bonds that connect them to other water molecules. When the molecules are moving fast enough, they are able to "escape." They leave the surface of the liquid as gas molecules

Which of the following is not a property of electromagnetic waves?

Answers

Answer: It does not include alpha rays

Explanation: It does not include alpha rays

what is the weight of a 500 kg boulder on the moon?

Answers

Answer:

F = 810 [N]

Explanation:

To solve this problem we must use the acceleration of gravity of the moon, which according to information provided by the internet we can see that the gravitational acceleration corresponds to 1.62 [m/s^2].

The weight of a body corresponds to the product of mass by gravity, so with the following equation we can find the weight.

F =m*g

F = 500 * 1.62

F = 810 [N]

YO CAN YALL HELP ME IN DIS!

Answers

Answer:

i guess it will be mass or volume, but not sure

Explanation:

because the blocks volume will be same as the displaced water, then u will check the mass or volume of the water to see what the volume of a object will be.

Testing for which type of property could lead to damaging the mineral sample?

A. physical properties
B. chemical properties
C. hardness
D. color

Answers

Answer: B. Chemical Properties

Explanation:

Which is the best reason a writer would use a unreliable narrator

Answers

Answer: Explanation:

Authors sometimes use an Unreliable Narrator to tell the story, a protagonist who can't be trusted to tell the events accurately. Either they are insane, evil, delusional, forgetful, or just plain wrong... whatever their reasons, the writer uses this technique to 'hook' the reader.

Answer: to give other characters something to react to

As you grow and learn, your neurons continue to connect, making you better at the
things you do.

False
True

Answers

True. When you learn something new neurons make connections and retain that knowledge. That means the more you learn a skill the more connections you make and the more muscle memory you get from doing that skill. Thus you get better at that skill.

Answer:

true

Explanation:

A 24 kg crate initially at rest on a horizontal floor requires a 75 N horizontal force to set it in motion. Once the crate is in motion, a horizontal force of 53 N keeps the crate moving with a constant velocity. Find μk, the coefficient of kinetic friction, between the crate and the floor.

Answers

Answer:

The coefficient of kinetic friction is approximately 0.225

Explanation:

The given parameters are;

The mass of the crate = 24 kg

The force required to set the mass in motion = 75 N

The force required to keep the crate in constant velocity = 53 N

We have;

Sum of horizontal forces, ∑Fₓ = 0

∑Fₓ = The force pulling thing the crate - The force of friction - The force of acceleration of the crate

The force of acceleration of the crate = 0 (Crate with constant velocity)

The force of friction = [tex]\mu_k[/tex] × N

N = The normal (acting perpendicular to the surface) force = (Here) Mass of crate × Gravity

[tex]\mu_k[/tex] = The coefficient of kinetic friction

N = 24 × 9.81 = 235.44 N

The force of friction = [tex]\mu_k[/tex] × 235.44

∴ ∑Fₓ = The force pulling thing the crate - The force of friction

∑Fₓ = 53 - [tex]\mu_k[/tex] × 235.44 = 0

53 - [tex]\mu_k[/tex] × 235.44 = 0

53 = [tex]\mu_k[/tex] × 235.44

[tex]\mu_k[/tex] = 53/235.44 ≈ 0.225

[tex]\mu_k[/tex] = The coefficient of kinetic friction ≈ 0.225.

The coefficient of kinetic friction between the crate and the floor is 0.22.

The coefficient of kinetic friction μk shows the ratio between frictional force and normal force over a body on a rough surface.

Given that:

mass of the crate = 24 kgthe horizontal force [tex]\mathbf{F_{s,max}}[/tex] = 75 N

We need to first find the coefficient of static friction (μs) to determine (μk);

Using the formula:

[tex]\mathbf{\mu_s = \dfrac{F_{s, max}}{m\times g}}[/tex]

[tex]\mathbf{\mu_s = \dfrac{75 \ N }{24 \ kg \times 9.81 \ m/s^2}}[/tex]

[tex]\mathbf{\mu_s = \dfrac{75 }{235.44}}[/tex]

[tex]\mathbf{\mu_s =0.32 }[/tex]

Now, once the crate is in motion; the horizontal force = 53 NHowever, the net force  = 0; since F = Fk

The coefficient of kinetic friction can be computed as;

[tex]\mathbf{F = \mu_k \times N}[/tex]

[tex]\mathbf{ \mu_k = \dfrac{F}{N}}[/tex]

[tex]\mathbf{ \mu_k = \dfrac{f}{m \times g}}[/tex]

[tex]\mathbf{ \mu_k = \dfrac{53}{24 \times 9.8}}[/tex]

[tex]\mathbf{ \mu_k =0.22 }[/tex]

Therefore, we can conclude that the coefficient of the kinetic friction is 0.22

Learn more about the coefficient of kinetic friction here:

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During a basketball game a kid tries to show off his fancy dribbling skills by going 3.5 m east and 5 m north. Dan is way too good to follow him through this unnecessary display. What magnitude and direction could Dan go to keep up with the other kid and only move in one straight line. Must show work for full credit
HELPP PLZZ

Answers

Answer:I litterly need a picture of this put  the pic and Ill edit this question

Explanation:

1. How do you relate the law of inertia to the balanced and unbalanced force?​

Answers

??

Explanation:

I don't get you right

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