The magnitude of the normal force on the car to the highway surface is 6,356.6 N.
What is normal force on the car?
The normal force on the car to the highway surface is equal to weight of the car acting downwards. The magnitude of the weight of the car is calculated as follows;
Fn = T = ma - mg
Fn = m ( a - g )
Fn = m ( v²/r - g )
where;
m is the mass of the carv is the speed of the car = 75 mi/h = 33.52 m/sr is the radius of the curveg is acceleration due to gravityFn = 1277 ( 33.52²/233 - 9.8 )
Fn = -6,356.6 N
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9. A .1-kg hockey puck traveling 7 m/s at 42 degrees collides with another hockey puck of the same mass that is traveling 5 m/s at 120 degrees. Afterwards, the first puck moves at 6 m/s at an angle of 130 degrees. What is the speed and direction of the second puck after the collision?
two objects colliding inelastically in one dimension. Kinetic friction is not conserved, but momentum is. (a) Two equal-mass objects initially move in the same direction.
What does physics mean when it refers to friction?
The force preventing sliding against one another of hard substrates, fluid sheets, and material components is known as friction. There are various kinds of friction: ... Friction between two surfaces causes kinetic energy from moving surfaces to be converted into infrared radiation
What does kinetic friction look like?
In the case of static friction or kinetic friction, the force of tension is always applied to counteract actual or potential movement between the contacting materials. A bent stone sliding all along ice, for instance, encounters a kinetic force that slows it down.
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a suspension bridge cable is connected to its anchor at a 20 degree angle. calculate the vertical component force on the anchor by the cable.
The question is missing some parts. Here is the complete question.
A suspension bridge cable is connected to its anchor at a 20° angle. Find the vertical and horizontal component of the force on the anchor by the cable.
Answer: \(F_{x}=\) 14095.4 N
\(F_{y}=\) 5130.3 N
Explanation: The force applied to the anchor is not perpendicular to the horizontal plane. So, it can be decomposed into 2 components: a vertical component, which is on the y-axis, and a horizontal component, which is on the x-axis.
The force and its components forms a right triangle, so we can calculate the components by using trigonometric relations:
Horizontal
\(cos(20)=\frac{F_{x}}{F}\)
\(F_{x}=F.cos(20)\)
\(F_{x}=15,000(0.9397)\)
\(F_{x}=\) 14,095.4 N
Vertical
\(sin(20)=\frac{F_{y}}{F}\)
\(F_{y}=Fsin(20)\)
\(F_{y}=\) 15,000(0.3420)
\(F_{y}=\) 5,130.3 N
The vertical and horizontal components of force on the anchor by the cable are 5130.3 N and 14095.4 N, respectively.
What is the best definition of a
wave
A. A wave is a disturbance that transfers matter.
B. A wave is electric charges that flow through
wires really fast.
C. A wave is a disturbance that transfers energy.
Answer: C
Explanation:
In hiking, what fitness component is required of you
Select the correct answer from each drop-down menu. Because of location, the has become a center for transportation. The is also a center for transportation and home to the nation’s busiest airport.
Because of location, the Hartsfield Jackson international airport has become a center for transportation. The is also a center for transportation and home to the nation’s busiest airport.
What is transportation?It should be noted that transportation simply means the movement of people and animals from one location to another. It should be noted that there are different means of transportation such as rail, air, road, etc.
In this case, because of location, the Hartsfield Jackson international airport has become a center for transportation. The is also a center for transportation and home to the nation’s busiest airport. This is located in Atlanta Georgia.
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Select the correct answer from each drop-down menu. Because of location, the has become a center for transportation. The is also a center for transportation and home to the nation’s busiest airport.
a. Dallas International Airport.
b. Denver International Airport.
c. John Kennedy International Airport
d. Hartsfield Jackson international airport
50 N
60 deg
Vas
In the figure above, 50 Newtons of Force are pushing at a downward 60 degree angle as shown,
The part of the force parallel to the ground is 25 Newtons. If the lawnmower is pushed 20 meters
in a straight line what work is done by the force pushing the mower?
O 500 J
O 250 J
1000 J
60 J
The work is done by the force pushing the mower is determined as 500 J.
Work done by the forceThe work done by the force is calculated as follows;
W = Fsinθ x d
where;
Fsinθ = Fx is the applied force parallel to the groundd is the distanceθ is the angle of inclinationW = Fx(d)
W = 25 x 20
W = 500 J
Thus, the work is done by the force pushing the mower is determined as 500 J.
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What is the net force on a 4.12kg dog that accelerates at 3.02 m/s^2
Answer: Net force = 12.4 N
Explanation:
We would apply the formula which is expressed as
Net force = mass x acceleration
From the information given,
mass = 4.12
acceleration = 3.02
Net force = 4.12 x 3.02
Net force = 12.4 N
When a low-pressure gas of hydrogen atoms is placed in a tube and a large voltage is applied to the end of the tube, the atoms will emit electromagnetic radiation and visible light can be observed. If this light passes through a diffraction grating, the resulting spectrum appears as a pattern of four isolated, sharp parallel lines, called spectral lines. Each spectral line corresponds to one specific wavelength that is present in the light emitted by the source. Such a discrete spectrum is referred to as a line spectrum.
What is the wavelength of the line corresponding to n =4 in the Balmer series? Express your answer in nanometers to three significant figures. EVO AV Om ? X (n) = 4.86.10? By the early 19th century, it was found that discrete spectra were produced by every chemical element in its gaseous slale. Even though these spectra were found to share the common feature of appearing as a set of isolated lines, it was observed that each element produces its own unique pattern of lines. This indicated that the light emitted by each element contains a specific set of wavelengths that is characteristic of that element. Submit Previous Answers Request Answer X Incorrect; Try Again; 19 attempts remaining
Answer:a) λ = 4.862 10⁻⁷ m, b) λ = 4.341 10⁻⁷ m
Explanation:
The spectrum of hydrogen can be described by the expression
in the case of the initial state n = 2 this series is the Balmer series
a) Find the wavelength for n = 4
let's calculate
= 1,097 10⁷ ()
\frac{1}{ \lambda} = 1.097 10⁷ 0.1875 = 0.2056 10⁷
λ = 4.862 10⁻⁷ m
b) n = 5
\frac{1}{ \lambda} = 1,097 10⁷ ()
\frac{1}{ \lambda} = 1.097 10⁷ 0.21 = 0.23037 10⁷
λ = 4.341 10⁻⁷ m
Two hot air balloons with the same mass and amount of helium put inside of them if one is a rigid material and the other expands which one would be the highest?
Answer:
One is that atmospheric pressure is dramatically reduced at high altitudes, so a helium balloon expands as it rises and eventually explodes. If you inflate a balloon beyond its limits at room temperature, it will break into small pieces up to about ten centimetres long
Explanation:
2. A well 1000m deep at an angle of 45 degree, what is the true vertical depth of the well?
Answer: 707.11m
Explanation:
since the well is at 45 degrees, we can use trig ratios to figure out the vertical depth of the well as u can see image attached.
then since we are looking for the vertical depth and we have information on the hypotenuse we can say
sin45= \(\frac{verticle height}{1000}\)
therefore, we can say.
1000sin(45) = vertical height
hence
vertical height = 707.11m
You work in the special effects department of a movie studio. You are currently working on a superhero movie where the hero is very strong and cannot be hurt by normal weapons such as a sword. In the next scene, the villain is going to hit the hero with a lead pipe. The hero's costume is mostly made of foam and carbon so that is it very light and easy to move around in but will crumble if hit with anything hard. For this scene, a section of the costume needs to be replaced with a different material that will only dent, not crumble, when hit with the pipe. You are on a deadline and look around the props department for ideas, what could you use?
A. You find sheets of copper (Cu) used in an industrial factory scene.
B. You find large discs of chlorine (Cl) used to kill bacteria in pools.
C. You find a barrel of phosphorus (P), used as a component in explosive powder.
D. You find a tank of helium (He) used for balloons.
A. Sheets of copper (Cu) could be a good option for replacing the foam and carbon material in the hero's costume. Copper is a relatively soft metal and can easily be shaped and molded. When hit with a lead pipe, it will dent but not crumble like foam and carbon. Additionally, copper has a distinctive color that could look interesting on the hero's costume.
B. Large discs of chlorine (Cl) would not be a good option for replacing the foam and carbon material. Chlorine is a highly reactive and dangerous gas that is used to disinfect swimming pools. It is not a solid material and would not provide the desired effect when hit with a lead pipe.
C. A barrel of phosphorus (P) would also not be a good option for replacing the foam and carbon material. Phosphorus is a highly reactive and flammable substance that is used as a component in explosive powder. It is not a solid material and would not provide the desired effect when hit with a lead pipe. Additionally, it is highly dangerous and should not be used in a movie set.
D. A tank of helium (He) would also not be a good option for replacing the foam and carbon material. Helium is a gas and would not provide the desired effect when hit with a lead pipe. Additionally, it is not a solid material and would not be suitable for the costume.
Overall, the best option would be A, sheets of copper, as it is a solid material that can easily be shaped and molded, and will dent but not crumble when hit with a lead pipe.
Set the initial bead height to 3.00 m. Click Play. Notice that the ball makes an entire loop. What is the minimum height required for the ball to make an entire loop
Answer:
h> 2R
Explanation:
For this exercise let's use the conservation of energy relations
starting point. Before releasing the ball
Em₀ = U = m g h
Final point. In the highest part of the loop
Em_f = K + U = ½ m v² + ½ I w² + m g (2R)
where R is the radius of the curl, we are considering the ball as a point body.
I = m R²
v = w R
we substitute
Em_f = ½ m v² + ½ m R² (v/R) ² + 2 m g R
em_f = m v² + 2 m g R
Energy is conserved
Emo = Em_f
mgh = m v² + 2m g R
h = v² / g + 2R
The lowest velocity that the ball can have at the top of the loop is v> 0
h> 2R
A 0.842g sample of Hydrogen 3 decays until 0.0526g remains. How many half lives have occurred?
A 0.842g sample of Hydrogen-3 decays to 0.0526g. Approximately 4.206 half-lives have occurred.
To determine the number of half-lives that have occurred, we can use the decay equation and the concept of exponential decay. The decay equation for radioactive decay is given by:
N(t) = N₀ * (1/2)^(t/T),\((1/2)^(^t^/^T^),\)
where N(t) is the remaining amount of the substance at time t, N₀ is the initial amount, t is the time elapsed, and T is the half-life of the substance.
In this case, we have an initial mass of 0.842g (N₀) and a remaining mass of 0.0526g (N(t)). We can set up the equation as follows:
0.0526g = 0.842g \(* (1/2)^(^t^/^1^2^.^3^2)\),
where t represents the number of half-lives that have occurred.
To solve for t, we can take the logarithm of both sides of the equation:
log(0.0526g/0.842g) = log\([(1/2)^(^t^/^1^2^.^3^2^)\)].
Using the logarithmic property log(\(a^b\)) = b*log(a), we can rewrite the equation as:
log(0.0526g/0.842g) = (t/12.32) * log(1/2).
Simplifying further:
log(0.0526g/0.842g) = (t/12.32) * (-log2),
where log2 is the logarithm base 2.
Now, we can solve for t:
t = (12.32 * log(0.0526g/0.842g)) / (-log2).
Using the given values and performing the calculation, we find:
t ≈ 4.206.
Therefore, approximately 4.206 half-lives have occurred.
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An unbalanced force of 15 N is applied to a 13 kg mass. What is the acceleration of the mass?
Answer:
the acceleration of an object equals the net force acting on it divided by its mass, or a = F m .
Explanation:
Which metal is the hardest?
Copper
Lead
Nickel
Titanium
Which metal is the hardest?
Copper
Lead
Nickel
Titanium
A cup of coffee with a lid is enclosed in an insulated cup 0.5cm thick in the shape of a cube 7.3cm on a side. The thermal conductivity is 0.02w/m the temperature of the coffee is 90 and the temperature of the surrounding is 22
\(\begin{align}Q &= \frac{kA\Delta T}{d} \ &= \frac{(0.02)(0.0315)(90 - 22)}{0.005} \ &= 237.6\ \text{W}\end{align}\)
This is the rate of heat transfer through the insulated cup. Note that this assumes that the heat transfer is steady and one-dimensional, which may not be strictly accurate in reality.
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\(\begin{align}\colorbox{purple}{\textcolor{lime}{Please mark as brillinest !}}\end{align}\)
\(\textcolor{cyan}{\small\textit{If you have any further questions, feel free to ask!}}\)
List three sources of energy being transferred by radiation.
Answer: light, gamma waves, radiowaves
Explanation:
What wavelength of light (in nm) is associated with a frequency of 5.72 E14 Hz
Answer: 520 nm; 5.77 × 1014 Hz; 3.82 × 10−19 J
Which of the following is not a true statement?
A
B
C
D
Answer:
I think A
Explanation:
because I don't think a unknowned number can be a division problem
A ball of mass 0.200 kg has a velocity of 150m/s; a ball of mass 0.300 kg has a velocity of - 0.4m/s. They meet in a head-on elastic collision. (a) Find their velocities after the collision. (b) Find the velocity of their center of mass before and after the collision.
(a) The velocity of 0.2 kg after the collision is 30.48 m/s and the velocity of the 0.3 kg mass is 119.92 m/s.
(b) The velocity of their center of mass before collision is 60.24 m/s and after the collision is 84.14 m/s.
Velocity of the balls after collision
Apply the principle of conservation of linear momentum to determine the velocity of the balls;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
0.2(150) + (0.3)(-0.4) = 0.2v₁ + 0.3v₂
29.88 = 0.2v₁ + 0.3v₂
Apply one directional linear velocity
u₁ + v₁ = u₂ + v₂
v₁ = u₂ + v₂ - u₁
v₁ = -0.4 + v₂ - 150
v₁ = v₂ - 150.4
Substitute the value of v₁ into the first equation;
29.88 = 0.2(v₂ - 150.4) + 0.3v₂
29.88 = 0.2v₂ - 30.08 + 0.3v₂
59.96 = 0.5v₂
v₂ = 59.96/0.5
v₂ = 119.92 m/s
v₁ = 119.92 - 150.4
v₁ = -30.48 m/s
Velocity of their center mass before collisionV(cm) = (0.2 x 150 + 0.3 x 0.4) / (0.2 + 0.3)
V(cm) = 60.24 m/s
Velocity of their center mass after collisionV(cm) = (0.2 x 30.48 + 0.3 x 119.92) / (0.2 + 0.3)
V(cm) = 84.14 m/s
Thus, the velocity of 0.2 kg after the collision is 30.48 m/s and the velocity of the 0.3 kg mass is 119.92 m/s.
The velocity of their center of mass before collision is 60.24 m/s and after the collision is 84.14 m/s.
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If the total _______ on an object is not zero, its motion will change. A Speed B Gravity C Force D None of the above
Answer:
The correct answer is C) Force. If the total force on an object is not zero, its motion will change according to the second law of motion by Isaac Newton.
What happens to the gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer?
(Options are seen in the picture provided)
Answer: It increases by a factor of 1 9/16
Explanation: I just took the test :)
The gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer increases by 1\(\frac{9}{16}\), so option C is correct.
What is Gravitation force?The universal force of attraction operating on all matter is known as gravity, usually spelled gravitation, in mechanics. The weakest known force in nature, it is by far and does not influence how everyday matter's internal properties are determined.
Measurements of gravity around the Earth, other planets, and the Moon, as well as experiments on the nature of gravitation, have greatly improved as a result of the launch of spacecraft and the research that has resulted from it.
The formula for gravitational force is given below,
F = (G * m₁ * m₂) / \(r^2\)
Here, F is the gravitational force.
Applying the condition of Que
\(F_1 = (G * m_1 * m_2) / 15^2\)
\(F_2 = G * m_1 * m_2 / 12^2\)
\(F_1 / F_2 = 15^2 / 12^2\)
\(F_1 / F_2 = 25/16\)
Therefore, the gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer increases by 1\(\frac{9}{16}\).
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What is the answer please help
Answer:
I think c
Explanation:
cold air pushes warm air up and then the air mixes(im not sure)
Which of the following most directly limits the number of organisms in a community?
A. Amount of available shelter
B. Wind
C. Hours of daylight/day
D. UV radiation
The following most directly limiting the number of organisms in a community is the amount of available shelter. Option A.
Examples of limiting factors are biological in nature such as competition with other organisms for food mates and resources. Others are abiotic such as space temperature altitude and the amount of sunlight available in the environment. Limiting factors are usually expressed as a lack of a particular resource.
Limiting factors are resources or other factors in the environment that can limit population growth. The limiting factors are the lack of food supplies and the lack of space. Competition for resources such as food and space will stop the rate of increase and the population will plateau. Immigration is the permanent immigration of some individuals coming into an existing population from outside.
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Predict the magnitude of force applied on you if you push against a tree with a force of 50 and directed to the
Answer: -50N
Explanation:
Newton's 3rd law says that for every force applied, there is an opposite force with equal magnitude. The person pushing on the tree will experience a force of -50N
What is the net force acting on a car cruising at a constant velocity of 70 km/h (a) on a level road, (b) on an uphill road?
The net force on the car for either case will be zero, since the car is moving at a constant velocity.
Net force on the car
The net force on the car is the sum of all the forces acting on the car.
∑F = ma
When the car is on a level roadWhen the car is on a level road, the only two forces acting on the car is the applied force and frictional force of the road.
F - Ff = 0
The net force will be zero, since the car is moving at a constant velocity.
When the car is on uphillThe forces acting on the car at the uphill is the applied force, weight of the car acting downwards and the frictional force acting opposite direction.
F - Wsinθ - μFₙcosθ = 0
The net force will be zero, since the car is moving at a constant velocity.
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What is the difference between special relativity and general relativity? Briefly describe each theory and cite one piece of evidence supporting each theory.
Special relativity and general relativity are both theories proposed by Albert Einstein. Special relativity deals with the laws of physics in the absence of gravity, while general relativity extends special relativity to include gravity and explains the curvature of spacetime caused by mass and energy.
Special relativity, proposed in 1905, deals with the laws of physics in the absence of gravitational fields. It introduces the concepts of time dilation and length contraction, stating that the laws of physics are the same for all observers moving at constant speeds relative to each other.
One piece of evidence supporting special relativity is the famous Michelson-Morley experiment, which failed to detect the existence of the hypothetical luminiferous aether.
On the other hand, general relativity, formulated in 1915, is an extension of special relativity that incorporates gravity. It postulates that gravity arises from the curvature of spacetime caused by mass and energy. General relativity explains the motion of celestial bodies, the bending of light in the presence of massive objects, and phenomena like black holes.
One piece of evidence supporting general relativity is the observed gravitational redshift, where light emitted from a source in a strong gravitational field is shifted to longer wavelengths.
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prepare a report on why a vehicle needs to be maintained/serviced after a certain period of time. How is servicing different in a petrol/diesel and electric vehicle?
Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.
Why should cars be maintained and / or serviced ?First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.
The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.
This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.
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A horse is dragging a crate behind it. The horse applies a force of 60.0 N to accelerate the crate to the right, and the crate experiences a 10.0-N force in the opposite direction due to a force called friction from the ground. The crate's acceleration is 0.67 m/s?. Determine the crate's mass.
The mass of the crate is approximately 74.63 kg.To determine the crate's mass, we can use Newton's second law of motion.
The Newton's law of motion states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, this can be expressed as:
Net Force = mass × acceleration
In this case, the net force acting on the crate is the force applied by the horse (60.0 N) minus the force of friction (10.0 N), which is given as:
Net Force = 60.0 N - 10.0 N = 50.0 N
The acceleration of the crate is given as 0.67 m/s².
We can now rearrange the equation to solve for mass:
mass = Net Force / acceleration
mass = 50.0 N / 0.67 m/s²
mass ≈ 74.63 kg
Therefore, the mass of the crate is approximately 74.63 kg.
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The matter in this series of images is going threw a change. Draw a conclusion about the type of change shown. Is it a physical change or a chemical change
The matter in this series of images is going through a change and a conclusion about the type of change is shown which indicates that it is a chemical change.
What is a Chemical change?This is referred to as the type of change which occurs when the substance's composition is changed and it also occurs when a substance combines with another to form a new substance or when one is broken down into two or more different substances.
The image shown indicates that fire was lit and the substance was subjected to heat which therefore means that there will be gases produced as bubbles are likely to be seen also which indicates a new substance being formed and it is a characteristic of a chemical change which is therefore the reason why it was chosen as the correct choice.
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