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?
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
second. Give answer in km/hr
1) Calculate the speed at which a wheel is traveling if it has a radius of 30cm and an angular speed of 20 radians per
is an atom with one valence electron more reactive than an atom with two electrone?
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 the magnitude of the relative angle φ
with which the ski jumper hits the slope?
Answer in units of ◦
.
Complete question is;
A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a speed of 24 m/s. The landing incline below her falls off with a slope of θ = 59◦ . The acceleration of gravity is 9.8 m/s².
What is the magnitude of the relative angle φ with which the ski jumper hits the slope? Answer in units of ◦
Answer:
14.08°
Explanation:
The time covered will be given by the formula;
t = (2V_x•tan θ)/g
t = (2 × 24 × tan 59)/9.8
t = 8.152 s
Now, the slope of the flight path at the point of impact will be given by the formula;
tan α = V_y/V_x
We are given V_x = 24 m/s
V_y will be gotten from the formula;
v = gt
Thus;
V_y = gt
V_y = 9.8 × (8.152) = 78.89 m/s
Thus;
tan α = 78.89/24
tan α = 3.2871
α = tan^(-1) 3.2871
α = 73.08°
Thus ;
Relative angle φ = α - θ = 73.08 - 59 = 14.08°
Which statement accurately describes the atmospheres of the inner planets?
Mars has no atmosphere.
Mercury has a thick atmosphere.
Mars and Venus have similar atmospheres.
Earth and Venus have similar atmospheres.
Answer:
The option your looking for is C- Mars and Venus have similar atmospheres
Answer:
C: Mars and Venus have similar atmospheres.
You are driving from Seattle to Portland, a distance of 174
miles (280,000 meters). Since most of your journey is on 1-5, your average
speed will be 65MPH, or 30 meters per second. How long does it take you
to get to Portland? Select the BEST answer from the ones listed below.
3 hours 4 minutes
2 hours 20 minutes
2 hours 35 minutes
2 hours 15 minutes
Answer:
driving distance = 174 miles
The distance by car is 278 km. Follow the Seattle to Portland driving route along I-5 S. Get driving directions from Seattle to Portland.
flight distance = 145 miles
Explanation:
Anyone know the answer ——————————
why is vitual force theory? why was it discarted
Answer:
I am not very sure of the first question
The second one which is why it discarted it is that because someone named Friedrich Wohler showed that it was possible to obtain an organic compound in the laboratory.
The Olympic record for running the 200m dash is 19.3 seconds. What is the average speed for this record?
A. 1.04 m/s
B. 5.18m/s
C.10.0m/s
D. 10.4m/s
According to the law of the conservation of momentum, what is the missing value in the chart?
A 4
B. 6
C. 10
D. 16
Answer:
B: 6
Explanation:
on edge! hope this helps!!~ （=´∇｀=）
true or false? Atmospheric pressure increases with height
Answer:
True
Explanation:
The heat felt when putting a hand near a light bulb this is an example of conduction, convection, radiation?
Answer:
conduction
Explanation:
Answer:
Radiation
Explanation:
Conduction: movement of something such as heat or electricity through a medium
Convection: movement in a gas or liquid in which the warmer parts move up and the cooler parts move down
Radiation: emission or transmission of energy in the form of waves or particles through space or through a material
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
How many meters are in a gigameter?
Answer:
1 gigameter = 1e+9 meter
WHAT IS SLIDING FRICTION
Explanation:
a fraction that is created when we slide something in a motion
Why in the absence of air do all objects fall at the same rate?
Answer:
objects falling at same rate.
Explanation:
ifif you neglect air resistance, objects following your Earth's surface or with the same approximate acceleration 9.8 meters per second squared (9.8 m/s^2, or g) due to Earth's gravity.
Which of the following statements about large scale mineral extraction is true?
a.
The economic benefits of large scale mineral extraction outweigh the environmental costs.
b.
Large scale mineral extraction is more destructive than in the past.
c.
Large scale extraction is vital to the economy of mining towns.
d.
Mineral extraction cannot be done in ways that do not completely destroy the environment.
Large scale extraction is vital to the economy of mining towns is the correct option.
What is effect of large scale extraction?Large scale extraction is very important to the economy of mining towns because the minerals are very valuable which can be sold at high prices which leads to increase in income of a country but this large extraction also disturbs the surrounding environment.
So we can conclude that Large scale extraction is vital to the economy of mining towns is the right option.
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Answer:
Large scale extraction is vital to the economy of mining towns is right
Explanation:
Stars and planets form when dust and gas from space is pulled together by.. what?
Answer:
gravity?
Explanation:
i dont have a lot of context but this is what i thought of so...
Stars and planets form when dust and gas from space is pulled together by gravitation.
What is gravitation?In mechanics, gravity, often known as gravitation, is the force of attraction that acts on all matter. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.
In contrast, it governs the formations and evolution of stars, galaxies, and the entire cosmos by its extensive and ubiquitous action, which affects the trajectories of objects in the solar system and beyond the universe. All objects on Earth experience weight, or a gravitational pull that is proportionate to their mass and is imposed by the planet's mass.
Hence, the stars and planets form when dust and gas from space is pulled together by gravitation.
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You need to move a heavy box that has a mass of 50 kg. How much force must you apply to accelerate the box at 0.5 m/s/s?
A block weighing (Fg) 100 N is resting on a steel table (us = 0.68)
The minimum force to start this block moving is. N.
Answer:68
Explanation:
6.8x100
We have that for the Question "A block weighing (Fg) 100 N is resting on a steel table (us = 0.68) ." it can be said that
The minimum force to start this block moving is [tex]F_{min}=37N[/tex]
From the question we are told
A block weighing (Fg) 100 N is resting on a steel table (us = 0.68)
The minimum force to start this block moving is. N.
Generally the equation for the Maximum force is mathematically given as
[tex]F_{max} =0.74*50\\\\F_{max} =37N[/tex]
Therefore
The Minimum force = max Frictional force
Therefore
[tex]F_{min}=37N[/tex]
Hence
The minimum force to start this block moving is [tex]F_{min}=37N[/tex]
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Can someone please help meeeeee please
Answer:
0.650
Explanation:
Move the decimal point three times to the left.
A girl pushes her little brother on his sled with a force of 300 N for 750 m. a. How much work is this? _______________ b. How much energy is used?__________ c. How much power does she use if it takes her 25s?_________ d. How much power does she use if she runs and complete the 750m in 10s?________
Answer:
w=225000 J
E=225000 J
P=9000 W
P=22500 W
Explanation:
Ew=Fd=E
P=E/t
(A) w=225000 J
(B) E=225000 J
(C) P=9000 W
(D) P=22500 W
What is Force?
Aristotle famously described a force as anything that generates an object to undergo “unnatural motion. Sir Isaac Newton was one of the preferred scientists to explore gravity and force. Any kind of force is simply a push or a pull. It can be described as a push or pull on an object.
Thus, Ew=Fd=E (P=E/t)
Force can assemble a body that is at rest to move.
It can contain a moving body or slow it down.
It can accelerate the acceleration of a moving body.
It can also modify the direction of a moving body along with its build and size.
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A 23.5 kg object travels a distance of 85 m in 30 s. Find the momentum. (Hint: you must find speed first)
Which of the following is not a factor that is required for the formation of hurricanes?
A: Very high winds in the upper atmosphere
B: Ocean temperatures of atleast 80 degrees F
C: Low winds in the upper atmosphere
D: Warm, moist air
Answer:
Either A or D
Explanation:
Answer:
c
Explanation:
its c because high winds foRM A HURRICAN AND WARM TO AND ESPECIALY IF IT IS 80 DEGRESES
Halpp
will give brainliest
Answer:
The answet is B. Hope thia is right! btw this is also my lesson xD
A space-walking astronaut has become detached from her spaceship. She's floating in space while holding a wrench. She is thinking about how she might get back to the ship, which she can see 50 m from her current location. Which of Newton's three laws will help her the most to get back to the ship?
Answer:
please find the solution which is defined as follows:
Explanation:
Throughout the opposite direction, she not able to throw her tool-belt. In this scenario, she will be sending her floating through her ship. Unless interrupted, it could refer to Newton's The rule of it in motion remains in motion. Consequently, if they throw it one way because there are no molecules to interrupt your course, you can continue to go the other way.
what is the number pattern for 7 12 17 22
Answer:
add 5 each number
Answer:
Increase by 5 each time.
Explanation:
The diagram below shows a 2.0-kilogram block being moved across a frictionless horizontal surface by a 6.0-newton horizontal force.
Answer: 6.0 m/s2
Explanation:
The acceleration of the block pushed horizontally with the force of 6 N is 3 m/s².
What is force?
In order to move a body of mass 'm' kg with an acceleration of 'a' m/s², a force of magnitude → |F| = ma is needed to push the body in a specified direction.
Given is a 2 kg block being moved across a frictionless horizontal surface by a 6 Newton horizontal force.
Mass of block [m] = 2 Kg
Force on block [F] = 6 N
From the definition of force -
|F| = ma
6 = 2 x a
6 = 2a
a = 3 m/s²
Therefore, the acceleration of the block pushed horizontally with the force of 6 N is 3 m/s².
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A batter hits the baseball A with an initial velocity of v0 = 100 ft/sec directly toward fi elder B at an angle of 30° to the horizontal; the initial position of the ball is 3 ft above ground level. Fielder B requires 14 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fi elder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is the fi eld location at which the ball altitude is 7 ft. Determine the velocity of the ball relative to the fi elder at the instant the catch is made.
Answer:
47.4 ft/s
Explanation:
Using v² = u² - 2gs where u = initial vertical velocity of ball = 100sin30, v = final vertical velocity of ball at the time it was caught by the fielder, g = acceleration due to gravity = 32 ft/s² and s = vertical displacement = y₂ - y₁, y₁ = 3 ft and y₂ = 7 ft. s = y₂ - y₁ = 7 - 3 = 4 ft
Substituting these values into the equation, we have
v² = u² - 2gs
v² = (100sin30)² - 2 × 32ft/s² × 4 ft
v² = (100sin30 ft/s)² - 256 ft²/s²
v² = (50 ft/s)² - 256 ft²/s²
v² = 2500 ft²/s² - 256 ft²/s²
v² = 2244 ft²/s²
v = √2244 ft²/s²
v = 47.37 ft/s
v ≅ 47.4 ft/s
So, the velocity of the ball relative to the fielder at the instant the catch is made is 47.4 ft/s.
Why does the golf tee fall into the bottle when the hoop is pulled
Answer:
Gravity overcomes the hex nut's stationary inertia and moves the nut straight down into the bottle.
Explanation:
Hope this helps.
Have a good night ma´am/sir.
Be safe!