Answer:
Total displacement 155 m
Explanation:
From the question, the formula to apply will be that of cosine rule where:
[tex]c=\sqrt{a^2+b^2-2ab*cosC}[/tex]
where
a= 43 m , b=130m and c =? , <C=28° + 90° =118°
Substituting values in the equation as;
[tex]c=\sqrt{43^2+130^2-2*43*130*cos118}[/tex]
[tex]c=\sqrt{1849+16900-11180*-0.46947} \\\\c=\sqrt{1849+16900+5249} \\\\c=\sqrt{23998} \\\\\\c=155m[/tex]
A map of earthquakes and volcanoes on Earth shows that they do not occur in evenly distributed areas, but they also do not occur randomly over Earth's surface. Describe what GPS measurements show about the distribution of locations where earthquakes and volcanoes occur.
Equations of Motion 2D - Will mark the brainliest
A cannon on horizontal ground, at point C, is used to target a point T 25m behind a narrow wall. Unfortunately the cannon is damaged and can only fire at a 45 ∘ angle and at one speed.
a. If the cannonball leaves the cannon at u =35ms −1 at what distance d must the cannon be placed in front of the wall in order to hit the target, if the wall is ignored and the target is at the same height as the cannon
b. The wall is 15.0m high. Does the cannonball actually go over the wall and hit the target? If so, by how much?
Answer:
Using the range formula S = V^2 * sin 2 theta / g
So the cannonball should travel
S = 35^2 * sin 90 / 9.8 = 125 m
Then the cannon should be placed 100 m from the wall
H = Vy t - 1/2 g t^2 height of cannonball after time t
Vy = 35 * sin 45 = 24.7 m/s vertical speed of cannonball
Vx = 35 * cos 45 = 24.7 m/s
t = 100 m / 24,7 m/s = 4.04 sec time for cannonball to reach wall
H = Vy t - 1/2 g t^2 height of cannonball after time t
H = 24.7 * 4.04 - 1/2 * 9.8 * 4.04^2 = 19.8 m
19.8 m - 15 m = 4.8 m cannonball clears wall by 4.8 m
The projectile launch ratios allow to find the results on the cannonball launch questions are:
a) The canyon is at x = 100 m from the wall.
b) The bullet hits the wall at a height of 4.8 m above the height of the wall.
Projectile launching is an application of kinematics where there is no acceleration on the x-axis and the y-axis is gravity acceleration.
A) Indicate that the initial speed of the bullet is v = 35 m/s with an angle θ=45º, which is the distance from the wall. The target is 25 m behind the wall, in the attachment we have a scheme of the system.
Let's find the range that is the horizontal distance for which the height is zero.
[tex]R = \frac{v_p^2 \ sin \ 2\theta}{g}[/tex]
Let's calculate.
R = [tex]\frac{35^2 \ sin ( 2 45(}{9.8}[/tex]
R = 125 m
Therefore the canonl must be 100 m from the wall.
B) The height of the wall is y = 15m, the blah manages to pass it and by how much.
We use trigonometry to find the components of velocity.
v₀ₓ = v₀ cos θ
[tex]v_{oy}[/tex] = v₀ sin θ
v₀ₓ = 34 cos 45 = 24.7 m / s
[tex]v_{oy}[/tex] = vo sin 45 = 24.7 m / s
Let's find the time it takes for the cannonball to travel the x = 100 m
[tex]v_x = \frac{x}{t} \\ t = \frac{x}{v_x}[/tex]
t = [tex]\frac{100}{35 \ cos 45 }[/tex]
t = 4.04 s
Let's find the height for this time.
y = [tex]v_[oy}[/tex] t - ½ g t²
Let's calculate
y = 24.7 4.04 - ½ 9.8 4.04²
y = 19.8 m
This height is greater than the height of the wall h = 15m, therefore the cannoball passes the wall, by a difference in height.
Δy = y -h
Δy = 19.8-15
Δy = 4.8 m
In conclusion, using the projectile launch ratios we can find the results on the cannonball launch questions are:
a) The canyon is at x = 100 m from the wall.
b) The cannonball hits the wall at a height of 4.8m above the height of the wall.
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What is the gravitational force between two identical 50,000 kg asteroids whose centers of mass are separated by 1000 m?
Answer:
The gravitational force between the two masses is 1.668575 × 10⁻¹¹ N
Explanation:
The given parameters are;
The mass of the two asteroids having gravitational attraction, are m₁ = m₂ = m = 50,000 kg
The separation distance between their centers, r = 1,000 m
The gravitational attraction force, F, between the two masses is given as follows;
[tex]F =G\dfrac{m_{1}m_{2}}{r^{2}}[/tex]
Where;
G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²
m₁ = m₂ = m
Substituting the values gives;
[tex]F =6.67430 \times 10^{-11} \times \dfrac{50,000 \times 50,000}{1000^{2}} = 1.668575 \times 10^{-7} \ N[/tex]
The gravitational force, F, between the two masses = 1.668575 × 10⁻¹¹ N.
The gravitational force between the two identical asteroids is 1.67 × 10⁻⁷ Newton.
Given the data in the question
Since the asteroids are identical
Mass of the asteroids; [tex]m_1 = m_2 = 50000kg[/tex]Distance between the centers of the masses; [tex]r = 1000m[/tex]Gravitational force; [tex]F =\ ?[/tex]
To determine the gravitational force between two identical asteroids, we use the Newton's law of universal gravitation:
[tex]F = G\frac{m_1m_2}{r^2}[/tex]
Where [tex]m_1[/tex] is mass of object 1, [tex]m_2[/tex] is mass of object 2, r is the distance between centers of the masses and G is the Gravitational constant ( [tex]6.67408 * 10^{-11} m^3/kgs^2[/tex] )
We substitute our values into the equation
[tex]F = (6.67408 * 10^{-11} m^3/kgs^2) \frac{50000kg*50000kg}{(1000m)^2} \\\\F = \frac{0.166852kgm^3/s^2}{1000000m^2}\\\\ F = 1.67 * 10^{-7}kg.m/s^2\\\\F = 1.67 * 10^{-7}N[/tex]
Therefore, the gravitational force between the two identical asteroids is 1.67 × 10⁻⁷ Newton.
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What is shown by the pattern of iron filings around these two magnets?
A. Opposite poles repel because no magnetic field forms between them.
B. Like poles attract because the magnetic field lines extend between them.
C. Like poles repel because the magnetic lined bend away from each other.
D. Opposite poles attract because the magnetic field lines cross each other.
The pattern of iron fillings around the magnet depicts that like poles repel because the magnetic lined bend away from each other. Thus, option C is correct.
What are magnetic field lines?The North Magnetic Pole would move via magnetic field lines, which are hypothetical lines. The magnet's oppositely polarized poles attract and repel one another.
Since the magnetic field lines inside the magnet run from the south pole to the north pole, Never do magnetic field lines cross one another. A closed loop is formed by magnetic field lines.
Because magnetic force lines are bending in the direction of the south pole in the illustration, like poles repel one another. If the magnetic lines are bent away from one another, like poles repel one another.
Thus, image given has the presence of lines bending away from each other, thereby are like poles repel. Hence, option C is correct.
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How much net force is required to accelerate a 6 kg toy car initially at rest to a velocity of 2m/s in 4s?
Answer:
3N
Explanation:
Given parameters:
Mass of toy car = 6kg
Initial velocity = 0m/s
Final velocity = 2m/s
Time = 4s
Unknown:
Net force = ?
Solution:
The net force is given by;
Force = mass x acceleration;
Force = mass x [tex]\frac{v - u}{t}[/tex]
v is the final velocity
u is the initial velocity
t is the time taken
Now insert the parameters and solve;
Force = 6 x [tex]\frac{2 - 0}{4}[/tex] = 3N
a flywheel turns at 600 rpm compute the angular speed at any point on the wheel and the tangential speed 0.5 m from the centre
Answer:
30m÷hour
Explanation:
600÷0.5=30m÷hour
What does Newton's first law describe?
A. The tendency of moving objects to stay in motion
OB. The attractive force between two objects due to their masses
O C. How forces balance out to zero net force
D. The change in an object's position over time
Answer:
A. the tendency of moving objects to stay in motion
Explanation:
just did it on ap3x
An object traveling at a constant velocity of 15 m/s is experiencing no net
force.
True or
False
A physics student swings a tennis ball connected to a rope in a vertical circle with a constant speed of 6.29 m/s. The ball has a period of 0.5 seconds. Determine the length of the rope (the radius of the circle.
Answer:
r = 0.5 m
Explanation:
First we find the angular speed of the ball by using its period:
ω = θ/t
For the time period:
ω = angular speed = ?
θ = angular displacement = 2π rad
t = time period = 0.5 s
Therefore,
ω = 2π rad/0.5 s
ω = 12.56 rad/s
Now, for the radius:
v = rω
r = v/ω
where,
v = linear speed = 6.29 m/s
r = radius = ?
r = (6.29 m/s)/(12.56 rad/s)
r = 0.5 m
An 856 kg drag race car accelerates from rest to 105 km/h in .934s. What change in momentum does the force produce? Answer in units of kg • m/s
Part 2: what average force is exerted on the car? Answer in N
Hello!
Topic: Dinamic
Value to calculate: Force
First, we have to calculate the aceleration, for that, lets aplicate the formula:
[tex]\boxed{a=\frac{V-Vi}{t} }[/tex]
How the final velocity is in km/h, we have to convert it on m/s, so:
m/s = km/h / 3,6
m/s = 105 / 3,6
m/s = 29,16
Then, lets replace formula according problem information:
[tex]a = \dfrac{29,16m/s-0m/s}{0,934s}[/tex]
[tex]a =31,22\ m/s^{2}[/tex]
Now, how we have the aceleration, lets applicate second law of newton for calculate the force produced:
[tex]\boxed{F=ma}[/tex]
Replace and resolve it:
F = 856 kg * 31,22 m/s^2
F = 26724,32 kg * m/s^2
Then the force is of 26724,32 kg * m/s^2
But how we know an 1 kg * m/s^2 = 1 N
Then the average of the force is of 26724,32 N
(1) The change in momentum of race car is 89880 kg-km/h.
(2) The average force exerted on the car is of 96231.26 N.
Given data:
The mass of race car is, m = 856 kg.
The initial speed of car is, u = 0 km/h.
The final speed of car is, v = 105 km/h.
The time interval is, t = 0.934 s.
1)
The change in the impact due to average force is known as momentum change. The expression for the change in momentum is given as follows,
[tex]\Delta P = m(v-u)[/tex]
Solving as,
[tex]\Delta P = 856 \times (105-0)\\\\\Delta P = 89880 \;\rm kg.km/h[/tex]
Thus, we can conclude that the change in momentum of race car is 89880 kg-km/h.
2)
Now, use the concept of impulse-momentum which says that the impulse is equal to change in momentum. Which means,
[tex]I = \Delta P[/tex]
And impulse is,
[tex]F \times t = \Delta P\\\\F = \dfrac{\Delta P}{t}[/tex]
Solving as,
[tex]F = \dfrac{89880}{0.934}\\\\F = 96231.26 \;\rm N[/tex]
Thus, we can conclude that the average force exerted on the car is of 96231.26 N.
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a 110 volt wall outlet supplies power to a stereo with a resistance of 10 ohms. how much current is flowing through the stereo?
Answer:
look in internet u can find online converter and there u will get a rel answer
Explanation:
A shopper walks westward 2.8 meters in the first 5 minutes and then eastward 9.2 meters in the next 10 minutes. What is the shopper's total travel distance?
Answer:
12m
Explanation:
Given parameters:
Distance walked westward = 2.8m
Time of travel = 5min
Distance walked eastward = 9.2m
Time of travel = 10min
Unknown:
The total shopper's travel distance = ?
Solution:
Total distance traveled is the sum of the length of path covered by a body. It is a scalar quantity.
Total distance = distance walked westward + distance walked eastward
Total distance = 2.8m + 9.2m = 12m
What is the best way to dress for an outdoor trip in cold weather?
A. Wear several thin layers and a waterproof top layer.
B. Wear two layers of heavy clothing and a waterproof jacket.
C. Wear dark colors for insulation.
D. Wear only cotton clothing.
Answer:
A: wear several thin layers and a waterproof top layer
Explanation:
The most common cause of hypothermia is getting wet. Wet clothes combined with wind can pull heat away from the body very quickly. Wool is a good insulator even when it is wet, but wet cotton will bolster heat loss. When dressing for cold weather, put on several thin layers, rather than one or two heavy ones, and top with windproof and waterproof outer layers.
The best way to dress for an outdoor trip in cold weather is to wear several thin layers and a waterproof top layer, the correct option is A.
What is insulation?Insulation is a type of material used to create barriers to the transmission of the form of energy which either is in form of heat or electricity.
For outdoor trips in cold weather, several thin layers act as better insulating barriers for heat transfer.
Learn more about insulation
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Having good etiquette and sports ethics will make you a more respected player.
Answer:
this is true
Explanation:
just did the it on edg 2020
Answer:
True
Explanation:
b.A certain piece of copper wire is determined to have a mass of 2.00 g per meter.
How many centimeters of the wire would be needed to provide 0.28 g of
copper?
Help please!!
Answer:
14cm
Explanation:
Mass per gram of the piece of wire;
2g of the wire is found in 1m
Since
100cm = 1m;
So;
100cm of the wire contains 2g of the wire
To provide 0.28g
Since;
2g of wire is made up of 100cm
0.28g of wire will be contained in [tex]\frac{100 x 0.28}{2}[/tex] = 14cm
14cm of the wire will contain 0.28g
Who is son of nation
Explanation:
well the father of nation is Mahtma Gandhi.
Which type of heating system includes fans to circulate warm air?
(DIsclaimer: Unless you have an explanation on how you got your answer, don't bother awnesering.)
A. Radiant heating
B. Electric baseboard heating
C. Forced-air heating
D. Hot water heating
Answer:
C.Forced air
Explanation:
HVAC system
"By far the most common HVAC system in modern North American homes is the forced-air system that uses a furnace with a blower fan that delivers warmed air to the various rooms of the home through a network of ducts."
So can you please mark me brainliest?
After 20 seconds, a 200-kg object increases its velocity from 15 m/s to 40 m/s. Determine the impulse applied to the object. (Also show your work so I can understand it better and ty)
Answer:
Imp_{1-2}=5000[kg*m/s]
Explanation:
In order to solve this problem, we must use the principle of conservation of momentum, which is defined as the product of mass by Velocity.
It must be defined that the impulse after the force is applied is equal to the momentum before the impulse applied on the body.
ΣPbefore = ΣPafter
P = momentum = m*v [kg*m/s]
In this way, we will construct the following equation.
[tex](m_{1}*v_{1})+ Imp_{1-2}=(m_{1}*v_{2})[/tex]
where:
m₁ = mass of the object = 200 [kg]
v₁ = velocity of the object before the impulse = 15 [m/s]
v₂ = velocity of the object after the impulse = 40 [m/s]
Now replacing:
[tex](200*15) + Imp_{1-2} = (200*40)\\Imp_{1-2}=5000[kg*m/s][/tex]
Define Continental Drift
Answer:
the gradual movement of the continents across the earth's surface through geological time.
Answer:
Continental drift is the hypothesis that the Earth's continents have moved over geologic time relatives to each other.
Which statement best describes scientific laws? (2 points)
O Scientific laws are scientists' opinions of why events occur.
Scientific laws are facts that describe observed reoccurring natural events.
Scientific laws explain why natural events occur.
Scientific laws were theories that have been proven to be true.
Answer:
Scientific laws are facts that describe observed reoccurring natural events.
Explanation:
Scientific laws are explanations for the behavior of the natural world. Scientific theories are explanations for scientific laws.
Pls help, I have a test on this, with explanation.
Answer:
the answer is B
Explanation:
we assume that all of these springs have tha same k , the spring constant
elastic energy for the initial system = Ep1= [tex]\frac{kd^{2} }{2}[/tex]
for the new changed system , the spring constant = k1+k2 = k+k = 2k , but the displacement is also reduced to 0.5 d
so Ep2 = [tex]\frac{2k(0.5d)^{2} }{2} = \frac{kd^2}{4}[/tex]
so the new total Ep stored in the new system is 1/2Ep
hope it helps
What would take more work: a 10 kg bowling ball lifted 1 meter off the ground, or a 1 kg laptop lifted 10 meter off the ground? Explain how you arrived at your answer. PLEASE HELP!!!!!!!!!! 50 POINTSSSSS
Answer:
10kg ball
Explanation:
a laptop is a lot less in weight so you have to use less force to lift it
Answer:
10 kg bowling ball
Explanation:
A h e m.
It would be easy to lift 1kg laptop 20 meters without breaking a sweat and would be less than your body weight. But a 10kg bowling ball is that x10 so its heavier
what is the process of subduction
Answer:
Subduction is a geological process that takes place at convergent boundaries of tectonic plates where one plate moves under another and is forced to sink due to high gravitational potential energy into the mantle. Regions where this process occurs are known as subduction zones.
slope or velocit ime graph represent
2. What is instantaneous acceleration?
3. What is unit vector?
Answer:
Please check the explanation.
Explanation:
The slope of the velocity-time graph illustrates the change in velocity with respect to change in time.
In other words, the acceleration of the object is defined by the slope of a velocity graph. The acceleration can be obtained by finding the slope at a particular time.
Hence, the slope of the velocity time graph represent represents acceleration.
2. Also the acceleration of any object, like a car or bike, at some discrete instant in time 't' is termed as instantaneous acceleration which can be determined if we may take the derivate of the given velocity function.
3. A vector that has a direction and magnitude of 1 is termed as a unit vector, often called a direction vector.
Determine the momentum of a 25kg freshman football player moving southward at 2m/s.
Answer:
50 kg*m/s southward
Explanation:
p=mv
=25kg(2m/s)
=50 kg*m/s
Write a letter to a Friend congratulating her / him for her excellent result in annual examination. class 5 the
Answer:
ok will do that
Explanation:
What can affect the properties of a substance?
A. Only the arrangement of atoms
B. Only the types of atoms
C. Neither the arrangement nor the types of atoms
D. The arrangement and types of atoms
What part of the plant takes in carbon dioxide?
1.Roots
2.Stomata
3.Minerals
4.Soil
The answer is number 2 stomata.
Which of the following concerning thermal energy flow be correct?
Heat would flow from a hot cup of coffee to a room temperature table.
Heat would flow from a cold glass of lemonade to your hand.
Heat would flow from an ice cube to your hand.
Heat would flow from your hand to a hot cup of coffee.
Answer:
Heat would flow from a hot cup of coffee to a room temperature table.
Explanation:
Thermal energy will flow from a hot cup of coffee to a room temperature table.
Heat is a form of thermal energy which is the average kinetic energy of the particles of system.
Typically heat flows from a place system at high temperature to one with a low temperature. Heat never flows from a cold to a hot bodyHeat moves from a hot to a cold body in a system.4. A car, initially traveling east with a speed of
5.0 m/s, is accelerated uniformly at 2.0 m/s2 east for
10 s along a straight line. During this 10 s
interval the car travels a total distance of
A. 50 m
B. 60 m
C. 100 m
✓ D. 150 m
Answer:
150 m
Explanation:
Given,
u=5m/s
a=2m/s2
t=10s
v=?
s=?
Now,
v=u+at
=5+2×10
=5+20
=25m/s
So,
s=u+v/2×t
=5+25/2×10
=30/2×10
=15×10
=150m