The voltage in the circuit with current 0.59 A is 141.6 volts.
How to calculate voltage?Resistance R = 110 + 130 = 240 ohm. Given what has just been said G= 0.59 A V= GR V= 0.59 240 V= 141.6 volts When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they are able to carry out tasks like lighting a lamp. In a nutshell, voltage equals pressure and is measured in volts (V).Electric charge travels past a pokindly int in a circuit at a constant rate called current. In other terms, current is the pace at which an electric charge flows. Voltage, also known as electromotive force, is the potential difference in charge between two locations in an electrical field.For more information on voltage kindly visit to
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A train is moving to the right. The force of air resistance and the surface friction from the tracks totals 259,800 N . In order for the train to keep moving at a constant velocity, how much forward force is the engine providing?
The engine is providing a forward force of 259,800 N to keep the train moving at a constant velocity.
What is forward force?
Forward force is the force applied in the direction of motion, which causes an object to move or maintain a constant velocity.
Constant velocity refers to the motion of an object moving in a straight line at a steady speed, without changing its direction. The velocity of the object is constant when its speed and direction remain unchanged over time, regardless of whether the object is moving or stationary.
Since the train is moving at a constant velocity, the net force acting on the train is zero. Therefore, the forward force provided by the engine must be equal in magnitude and opposite in direction to the force of air resistance and surface friction.
So, the magnitude of the forward force provided by the engine is:
Magnitude of forward force = Magnitude of force of air resistance and surface friction
Magnitude of forward force = 259,800 N
Therefore, the engine is providing a forward force of 259,800 N to keep the train moving at a constant velocity.
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A conducting wire of 60cm long is moved at a constant speed of 5m/s perpendicular to a uniform magnetic field. If thr EMF induced in the wire is 2volts, deduce the value of tge magnetic induction
The value of magnetic induction is 0.667 T.
The EMF induced in a conductor traveling through a magnetic field is given by:
EMF = B x L x v
where B is the magnetic induction (measured in Tesla), L is the conductor's length (in meters), and v is its speed (in meters per second)
What we have here is
L = 60 cm = 0.6 m (because the length of the wire is specified in centimeters) (since the length of the wire is given in centimeters)
v = 5 m/s
EMF = 2 V
When these values are inserted into the equation, we obtain the following:
2 V = B x 0.6 m x 5 m/s
Calculating for B, we obtain:
B = 2 V / (0.6 m x 5 m/s) = 0.666... T
Thus, the magnetic induction is 0.667 T, rounded to three significant numbers.
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Alyssa would like to consume carbohydrates from a healthy carb source. What would be a good choice for her to consume?
The kind of food that she may have to consume is garlic bread.
Is garlic bread a healthy source of carbohydrates?Garlic bread is a type of bread that is usually made with bread, butter, and garlic.
Garlic bread is generally high in calories, fat, and sodium, and it may also contain added sugars or artificial flavors. Additionally, the type of bread used to make garlic bread is usually white bread, which is refined and low in fiber.
It can help you to have a whole lot of carbohydrates.
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5. What breaks yet never falls, and what falls yet never breaks? not really physics its for leadership in my school but still need help
Answer:
Yes, they never break trust. The answer is water. It falls in the waterfall but never breaks, and it breaks in the surf from the incoming tide, but never falls.
Explanation:
A solid will float in a liquid if it is less dense than the liquid, and sink if it is more dense than the liquid. If the density of seawater is 1.025 g/mL, which types of plastics would definitely float in seawater? JUSTIFY your answer.
Explanation:
Plastics with a density less than or equal to 1.025 g/mL will float in seawater, while plastics with a density greater than 1.025 g/mL will sink.
Here are some examples of plastic densities:
Polyethylene terephthalate (PET) has a density of approximately 1.38 g/mL, so it will sink in seawater.
Polypropylene (PP) has a density of approximately 0.9 g/mL, so it will float in seawater.
High-density polyethylene (HDPE) has a density of approximately 0.95 g/mL, so it will float in seawater.
Polystyrene (PS) has a density of approximately 1.05 g/mL, so it will sink in seawater.
Based on the above examples, we can see that plastics such as polypropylene and high-density polyethylene will definitely float in seawater, while others such as polyethylene terephthalate and polystyrene will definitely sink. Other types of plastics with densities close to 1.025 g/mL may float or sink depending on their exact density and the conditions of the water, such as temperature and salinity.
If hydropower were to be our primary way for generating electricity, what effect would this have on individuals and the environment?
Answer:
If hydropower were to be our primary way for generating electricity, it would have several effects on individuals and the environment, both positive and negative. Here are some examples:
Positive effects:
Hydropower is a renewable energy source, meaning that it does not produce greenhouse gas emissions and does not contribute to climate change.
Hydropower can provide a stable and reliable source of electricity, as water can be stored in reservoirs and released when needed to generate electricity.
Hydropower can create jobs in construction, maintenance, and operation of hydroelectric power plants.
Negative effects:
The construction of large dams for hydropower generation can have significant impacts on ecosystems and communities. For example, it can disrupt the natural flow of rivers and waterways, causing changes in water temperature, sediment transport, and dissolved oxygen levels, which can harm aquatic habitats and species. It can also lead to the displacement of communities living in the area.
Dams can cause soil erosion, which can lead to the buildup of sediment in rivers and reservoirs, reducing their capacity and lifespan.
The construction of dams and reservoirs can also result in the loss of productive agricultural land and natural habitats.
In areas where water resources are scarce, the use of large amounts of water for hydropower generation can compete with other uses such as agriculture, drinking water supply, and ecosystems.
Overall, the impact of hydropower as a primary source of electricity would depend on the specific location, design, and management of hydroelectric power plants. Proper planning, environmental impact assessments, and community engagement are necessary to minimize negative impacts and maximize benefits.
Explanation:
hope it help pa brainliest po
Air passes over the top of an airplane
wing at 170 m/s, and over the bottom
at 130 m/s. What is the difference in
pressure between the top and
bottom of the wing?
Answer:
The difference in airspeed over the top and bottom of an airplane wing results in a difference in air pressure, which generates lift. The Bernoulli's equation relates the pressure of a fluid (including air) to its velocity and the height of the fluid:
P + 1/2 * rho * v^2 + rho * g * h = constant
where P is the pressure of the fluid, rho is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height of the fluid.
Assuming that the density of air is constant and the height of the wing is negligible compared to the other terms in the equation, we can simplify the equation to:
P + 1/2 * rho * v^2 = constant
The constant in the equation is the same at all points along the wing, since the air is a continuous fluid.
The pressure difference between the top and bottom of the wing can be found by calculating the pressure at the top and bottom of the wing using the simplified Bernoulli's equation, and then taking the difference between the two pressures.
Let P1 be the pressure at the bottom of the wing, where the airspeed is 130 m/s, and P2 be the pressure at the top of the wing, where the airspeed is 170 m/s. Then we have:
P1 + 1/2 * rho * (130 m/s)^2 = P2 + 1/2 * rho * (170 m/s)^2
Simplifying and rearranging, we get:
P1 - P2 = 1/2 * rho * (170 m/s)^2 - 1/2 * rho * (130 m/s)^2
Plugging in the density of air (rho = 1.225 kg/m^3), we get:
P1 - P2 = 1/2 * 1.225 kg/m^3 * (170 m/s)^2 - 1/2 * 1.225 kg/m^3 * (130 m/s)^2
Simplifying and calculating, we get:
P1 - P2 = 377.72 Pa
Therefore, the difference in pressure between the top and bottom of the wing is approximately 377.72 Pa.
A force is applied to a 1 kg mass and produces
4.1 m/s
2
acceleration.
What acceleration would be produced by
the same force applied to a 13.4 kg mass?
Answer in units of m/s
2
.
The 2.4 m/s² acceleration would be produced by the same force applied to a 13.4 kg mass.
What is acceleration ?
The pace at which speed changes is known as acceleration. Acceleration typically, but not always, indicates a change in speed. Because the direction of an object's velocity is shifting even while it follows a circular course, it continues to accelerate.
What is force?
A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.
As we know that force= mass × acceleration
So F₁=m₁×4
F₂=m₂×6
now for combined system total acceleration will be "a"= F/ m₁+m₂
m₁= F/4
m₂= F/6
so put the value of m₁ and m₂
Therefore, 2.4 m/s² acceleration would be produced by the same force applied to a 13.4 kg mass.
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an objects potential energy is do to its?
An objects potential energy is due to its state of rest.
Define potential energy
Potential energy is a form of accumulated energy that is dependent on the relationship between different system components. When a spring is compressed or expanded, its potential energy increases. The potential energy of a steel ball is greater when it is raised above the earth than when it is brought to Earth.
Energy that is conserved or kept in a substance or object is known as potential energy. The position, arrangement, or condition of the item or substance determines the amount of stored energy. It can be pictured as energy with the "potential" to perform labor. Mechanical energy, electrical energy, chemical energy, radiant energy, nuclear energy, and heat energy are the six categories of potential energy.
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Find the current in the given cicular loop of circuit if the given voltage is 8
The current flowing through the battery is 46.67 A.
The first step is to calculate the equivalent resistance of the circuit, which includes the resistance of the loop and the internal resistance of the battery. Since the points P and Q are connected to the battery, they are effectively in parallel, so the equivalent resistance is,
1/R = 1/40 Ω + 1/0.5 Ω = 0.025 Ω
R = 40 Ω || 0.5 Ω = 0.024 Ω
The total current flowing through the circuit is given by Ohm's law, I = V / (R + r), where V is the voltage of the battery, r is its internal resistance, and R is the resistance of the loop.
Substituting the given values,
I = 24 V / (0.024 Ω + 0.5 Ω) = 46.67 A
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--The complete question is, A circular loop has a resistance of 40Ω. Two points P and Q of the loop, which are one quarter of the circumference apart are connected to a 24V battery, having an internal resistance of 0.5Ω. What is the current flowing through the battery.--
If a 1800 kg car starts at rest and speeds up to 5. 0 m/s then the work done is 22,500 J
According to the solving the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.
What constitutes work completed?The work performed by a force is the sum of the movement and the component of something like the applied pressure of the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move with a certain amount of acceleration. Work completed is represented by the formula W = F.
According to the given information:KEf = (1/2)mv²
= (1/2)(1800 kg)(5.0 m/s)²
= 22,500 J
The work done on the car is equal to the change in kinetic energy:
W = KEf - KEi
= 22,500 J - 0 J
= 22,500 J
Therefore, the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.
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I understand the the question you are looking for is:
If a 1800 kg car starts at rest and speeds up to 5. 0 m/s then the work done is?
What is a valid frame of reference for observing motion if you
are riding on a bus with a friend?
a the bus driver at the front of the bus
b the wastebasket on the bus
c your friend sitting next to you
d objects like trees and houses outside the windows
Answer: D
Explanation:
Miguel is riding his skateboard down a straight road at 150 meters per minute. If his velocity remains constant, how far will Miguel skate in 3.4 minutes?
Answer:
510m
Explanation:
150m × 3.4 = 510
distance = speed × time
Next >
On a transformer with a turn ratio of 72:1, if the power on the primary side is 2 MW, what
is the power on the secondary side?
answer choices:
36 W
2 MW
27.8 MW
36 MW
Answer:
Explanation:
The power on the primary side of a transformer is equal to the power on the secondary side, neglecting losses. This is because power is conserved in a transformer.
Therefore, if the power on the primary side is 2 MW, then the power on the secondary side will also be 2 MW.
So, the correct answer is: 2 MW.
A body is found at 9:30pm. The temperature of the liver registers 84.6F what is the approximate TOD of the victim
The approximate TOD of the victim is Maybe around 4:30 pm.
How can you gauge the temperature of your liver?The liver temperature can provide a more accurate representation of the genuine core body temperature, hence it is ideal to take the temperature either rectally or by monitoring the liver temperature.To do this, a tiny incision must be made in the right upper belly, and the thermometer must be inserted into the liver tissue.
How is the death date determined?This stiffening process, known as rigor mortis, occurs at a fairly known time, making it possible to predict when someone will pass away.In overall: If the body is warm and there is no rigidity, the time of death was less than three hours ago.If the body is stiff and warm, death happened 3 to 8 hours earlier.
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Isaac uses a lever and applies 42 Newtons to lift a 15-kilogram box. He applies the force over a distance of 6 meters to lift the box a distance of 2 meters. How much work is done?
- 84 Joules
-252 Joules
-630 Joules
-336 Joules
-65 Joules
Answer:
The work done by Isaac can be calculated using the formula:
work = force x distance
where force is the amount of force applied and distance is the distance over which the force is applied. In this case, the force applied by Isaac is 42 Newtons and the distance over which the force is applied is 6 meters. However, we need to calculate the actual distance moved by the box, which is different from the distance over which the force is applied.
To calculate the distance moved by the box, we can use the formula for the mechanical advantage of a lever:
mechanical advantage = distance moved by effort / distance moved by load
In this case, the effort is the force applied by Isaac, the load is the weight of the box (15 kg), and the mechanical advantage is the ratio of the distances moved. We can rearrange this formula to solve for the distance moved by the load:
distance moved by load = distance moved by effort / mechanical advantage
In this case, the distance moved by effort is 2 meters (the height the box is lifted), and the mechanical advantage can be calculated using the ratio of the lengths of the lever arms (assuming the lever is a simple machine). Let's say the lever has two arms, one on each side of the pivot point, with lengths of L1 and L2. The mechanical advantage of the lever is:
mechanical advantage = L2 / L1
Assuming Isaac applied the force at the end of one arm, and lifted the load at the end of the other arm, we can say that the ratio of the lengths of the arms is:
L2 / L1 = 2 / 6
Simplifying, we get:
L2 = L1 / 3
This means that the load is lifted a distance of 2/3 meters (or 0.67 meters), which is the distance moved by the load. Now we can calculate the work done by Isaac:
work = force x distance
= 42 N x 6 m
= 252 J
Therefore, the amount of work done by Isaac to lift the 15-kilogram box is 252 Joules. The correct answer is (B) 252 Joules.
Describe how government helps business provide the goods and services that people need and want
Governments assist in enhancing the infrastructure necessary for companies to flourish and helps business provide the goods and services that people need and want.
What is economics?
Economics is the study of how limited resources are used to create outputs, such as commodities and services, that are then distributed among individuals. Resources serve as the resources for creating outputs. Products and services are created by combining resources. The necessary raw ingredients are provided by land and natural resources. Raw materials are turned into finished products and services by labor.
Businesses perform better when they can effectively transport raw materials to factories and deliver finished goods to plants and markets. Governments assist in enhancing the infrastructure necessary for companies to flourish. Roads, bridges, rail lines, airports, seaports, energy transmission lines, and telecommunications networks are all included in this.
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The force of gravity acting on a satellite points in towards the center of the earth. If gravity is pulling the satellite towards the earth, why does it not fall into the earth?
Answer:
satellites dont fall from the sky
Explanation:
Satellites don’t fall from the sky because they are orbiting Earth. Even when satellites are thousands of miles away, Earth’s gravity still tugs on them. Gravity—combined with the satellite’s momentum from its launch into space—cause the satellite to go into orbit above Earth, instead of falling back down to the ground
You have a ball with mass 2.5 kg tied to a rope, and you spin it in a circle of radius
1.2 m. You know that the rope can withstand a tension of 130 N before it breaks.
How fast can you safely spin the ball without the rope breaking?
Answer:
Approximately [tex]7.2\; {\rm m\cdot s^{-1}}[/tex] (rounded up), assuming that this circle is vertical and [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
Let [tex]v[/tex] denote the tangential speed of the ball, and let [tex]r[/tex] denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration [tex]a = (v^{2} / r)[/tex]. The net force on this ball would be [tex]F_{\text{net}} = m\, a = (m\, v^{2} / r)[/tex].
The net force on this ball is also the vector sum of the tension [tex]T[/tex] in the rope and the weight of the ball [tex]m\, g[/tex]:
[tex]F_{\text{net}} = (\text{weight}) + T[/tex].
[tex]T = F_{\text{net}} - (\text{weight})[/tex].
Note that:
[tex]\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|[/tex].
In other words, the magnitude of tension [tex]T[/tex] is at most equal to [tex]\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)[/tex], which happens when weight and net force are in opposite directions.
When the speed of the ball is maximized, the magnitude of tension [tex]T[/tex] would be at the largest possible value of [tex]130\; {\rm N}[/tex]. Rearrange the equation and solve for speed [tex]v[/tex]:
[tex]\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|[/tex].
[tex]\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}[/tex].
[tex]\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
The right hand rule states that you should always hold a compass in your right
hand.
False. The rule does not necessarily involve holding a compass in your right-hand.
The right-hand ruleThe right-hand rule is a general principle used in physics and engineering to determine the direction of various vectors.
There are different variations of the right-hand rule, but the basic idea is to use your right hand to orient your fingers or thumb in a particular direction to determine the direction of a magnetic field, force, or other vector quantity.
Thus, the rule does not necessarily involve holding a compass in your right hand.
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Determine if the following statement is true or false. The right-hand rule states that you should always hold a compass in your right hand.
Two inflated balloons are of identical size and shape, but one is filled with hydrogen, the other helium. Which has the larger buoyant force on it?
Buoyancy is the upward force wielded on an object that's wholly or incompletely immersed in a liquid. Also, the buoyancy forces of the two balloons don't have to be the same
Buoyancy doesn't depend on the substance present in the body. thus, both balloons will witness the same lift forces.
balloons float because the air pushes them. But the air does not know what is in the ball.
presses on everything unevenly, so the buoyant force is the same for all balloons of the same size. where ρ is the thickness of the air, g is the acceleration due to graveness, and V is the volume of the balloon.
Buoyancy or buoyancy is the upward force wielded by a liquid opposing the weight of a incompletely or completely submerged object. In a column of liquid, the pressure increases with depth due to the weight of the liquid over.
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A car on a freeway ramp starts at a velocity of 12.0 m/s. If its average acceleration over 8 s is 3.20 m/s2, what is the velocity at the end of that interval?
A. 13.6 m/s
B. 99.2 m/s
C.25.6 m/s
D. 37.6 m/s
Answer: D. 37.6 m/s
Explanation: its D
Consider the circuit
The current in the 5.0 Ohm resistor is:
The voltage across each resistors connected in parallel circuit is the same. Hence, according to Ohm's law, the current through the resistor of 5 ohms is 1.5 A.
What is Ohm's law ?Ohm's law states that, the voltage across a circuit is the product of the resistance through and current flowing through the circuit.
V = I R.
The voltage over resistors connected in series circuit will be different whereas , that for a parallel circuit, voltage is constant.
Given v = 12 V
then, the current through the series circuit is the same for all the components in the circuit.
hence, the total resistance in the branch with 3 ohm and 5 ohms is:
R = R1 + R2 = 5. + 3 = 8 Ω
Now, the current passing through the branch will be 12 V/ 8 Ω = 1.5 A.
Therefore, the current passing through the 5 ohm resistor is 1.5 A.
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A 3 kg fish is swimming at 1.5 m/s to the right. It swallows a 0.25kg
fish swimming to the left at 4.0 m/s. What is the velocity of the larger
immediately after lunch?
Show Your Work
Answer:
1.076 m/s
Explanation:
Given a 3.0 kg fish is swimming at 1.5 m/s to the right. it swallows a 0.25 kg fish swimming to the left at 4.0 m/s. what is the speed and direction of the larger fish immediately after lunch?
Mass of fish m1 = 3 kg
Velocity v1 = 1.5 m/s
Mass of small fish m2 = 0.25 kg
Velocity v2 = - 4 m/s (negative sign since the direction is opposite)
Therefore total mass of fish after swallowing will be M = 3 + 0.25 = 3.25 kg
Let the final velocity of fish be V
Now according to the law of conservation of momentum we have
So m1v1 + m2v2 = M x V
3 x 1.5 + 0.25 x – 4 = 3.25 x V
4.5 – 1 = 3.25 V
3.25 V = 3.5
Or V = 1.076 m/s
So speed of the fish will be 1.076 m/s
Problem: Calculate the length and orientation of a road of length 5 meters in a frame of reference which is moving with a velocity 0. 6c in a direction making an angle of 30 deg with the rod. Solution: e = 35 ^ 0 * 45
The length and orientation of the road in a frame of reference that is moving with the given velocity in a direction making an angle of 30 degrees with the road is calculated to be 2.641 meters and 16.83 degrees respectively.
Let's first calculate the velocity of the road in the frame of reference that is moving with a velocity of 0.6c. We can use the velocity addition formula to calculate this:
v' = (v - u) / (1 - uv/c²)
where
v = velocity of the road
u = velocity of the frame of reference = 0.6c
c = speed of light
Since the road is at rest in its own frame of reference, v = 0. Substituting the values, we get:
v' = (-0.6c) / (1 - 0.6c × 0 / c²)
v' = -0.8824c
The negative sign indicates that the road appears to be moving in the opposite direction in the moving frame of reference.
Now, let's calculate the length of the road in the moving frame of reference. We can use the length contraction formula to calculate this:
L' = L × √(1 - v'²/c²)
where
L = length of the road
v' = velocity of the road in the moving frame of reference
Substituting the values, we get:
L' = 5 × √(1 - (-0.8824c)²/c²)
L' = 2.641 meters
Therefore, the length of the road in the moving frame of reference is 2.641 meters.
Finally, let's calculate the orientation of the road in the moving frame of reference. We are given that the direction of the velocity of the frame of reference makes an angle of 30 degrees with the road. We can use the following formula to calculate the angle between the road and the velocity of the frame of reference in the moving frame of reference:
tan(e') = (tan(e) - u/c) / (1 - u×tan(e)/c)
where
e = angle between the road and the velocity of the frame of reference
u = velocity of the frame of reference = 0.6c
e' = angle between the road and the velocity of the frame of reference in the moving frame of reference
Substituting the values, we get:
tan(e') = (tan(30) - 0.6c/c) / (1 - 0.6c×tan(30)/c)
tan(e') = 0.294
Taking the inverse tangent, we get:
e' = 16.83 degrees
Therefore, the orientation of the road in the moving frame of reference is 16.83 degrees and the length of the road in the moving frame of reference is 2.641 meters.
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The complete question is :
Given a road of length 5 meters, calculate the length and orientation of the road in a frame of reference that is moving with a velocity of 0.6c in a direction making an angle of 30 degrees with the road.
The two elements will bond or not bond into one ratio
Ionic compounds can be created when elements from Groups 1 and 17 mix one to one ratio.
To create ionic compounds, group 1 and group 17 elements can combine one to one.
In addition, group 8A (or VIIIA) of the periodic table contains the noble gases or inert gases helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), and radon. As a result, if any elements from this group are present, they will not bond (Rn).
The name of these elements refers to how little they react with other elements or compounds. An example of bonding is, when carbon and oxygen atoms join in a 1:2 ratio, carbon dioxide is produced; when they combine in a 1:1 ratio, carbon monoxide, or CO, is produced.
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the total energy of a system is 300j. if the potential energy is 40j what is the kinetic energy if the object started 300m above the ground?
Answer:
43.3 m/s.
Explanation:
Assuming the potential energy is due to the gravitational potential energy, we can use the conservation of energy to find the kinetic energy:
Total energy = Potential energy + Kinetic energy
Kinetic energy = Total energy - Potential energy
Kinetic energy = 300 J - 40 J = 260 J
However, we need to know the mass of the object to convert the kinetic energy to velocity. We can use the potential energy to find the mass:
Potential energy = mgh
40 J = m(9.81 m/s^2)(300 m)
m = 0.137 kg
Now we can use the kinetic energy to find the velocity:
Kinetic energy = (1/2)mv^2
260 J = (1/2)(0.137 kg)v^2
v^2 = (2*260 J) / 0.137 kg
v = 43.3 m/s (rounded to one decimal place)
Therefore, the kinetic energy is 260 J and the velocity of the object when it reaches the ground is 43.3 m/s.
Which of the following statements best describes what happens to the rocket’s trajectory when the angle of
launch is lowered to 45 degrees?
This means that the rocket will not reach the same height as it would at a higher launch angle, and it will also cover less horizontal distance before hitting the ground.
What is Trajectory angle?
Trajectory angle refers to the angle at which an object is launched or thrown relative to the horizontal plane. It is the angle between the initial velocity vector of the object and the horizontal plane. In physics and engineering, the trajectory angle is an important parameter that determines the trajectory of a projectile or a moving object.
Lowering the angle of launch of a rocket to 45 degrees will result in a shorter and lower trajectory compared to launching the rocket at a higher angle. When the rocket is launched at a lower angle, it will have less vertical velocity and more horizontal velocity compared to a rocket launched at a higher angle.
However, launching the rocket at a lower angle can be useful in certain situations where the goal is to cover a shorter distance or to maintain a lower altitude, such as in a low-altitude reconnaissance mission or in a missile attack where the target is closer.
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1. A child rides a bicycle in a circular path with a radius of 3.2 m. The tangential speed of the
bicycle is 2.7 m/s. The combined mass of the bicycle and the child is 54 kg.
What is the magnitude of the bicycle's centripetal acceleration? What is the magnitude of the
centripetal force on the bicycle?
The magnitude of the bicycle's centripetal acceleration can be calculated using the formula:
a = v^2 / r
where v is the tangential speed and r is the radius of the circular path. Plugging in the given values, we get:
a = (2.7 m/s)^2 / 3.2 m
a = 2.27 m/s^2
The magnitude of the centripetal force on the bicycle can be calculated using the formula:
F = m * a
where m is the combined mass of the bicycle and the child. Plugging in the given values, we get:
F = 54 kg * 2.27 m/s^2
F = 122.58 N
Therefore, the magnitude of the bicycle's centripetal acceleration is 2.27 m/s^2, and the magnitude of the centripetal force on the bicycle is 122.58 N.
Answer:
[tex]\huge\boxed{\sf F_c=123.02 \ N}[/tex]
[tex]\huge\boxed{\sf a_c=2.28 \ m/s^2}[/tex]
Explanation:
Given data:Mass = m = 54 kg
Tangential speed = v = 2.7 m/s
Radius = r = 3.2 m
Required:Centripetal force = [tex]F_c[/tex] = ?
Centripetal acceleration = [tex]a_c[/tex] = ?
Formula:[tex]\displaystyle F_c=\frac{mv^2}{r}[/tex]
[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]
Centripetal acceleration:Put the given data in the above formula.
[tex]\displaystyle a_c=\frac{(2.7)^2}{3.2} \\\\a_c=\frac{7.29}{3.2} \\\\a_c=2.28 \ m/s^2\\\\[/tex]
Centripetal force:Put the given data in the above formula.
[tex]\displaystyle F_c=\frac{(54)(2.7)^2}{3.2} \\\\F_c=\frac{(54)(7.29)}{3.2} \\\\F_c=\frac{393.66}{3.2} \\\\F_c=123.02 \ N\\\\\rule[225]{225}{2}[/tex]
Explain the relationship between angle of plane vs elliptical shape. (The angle of
the plane is represented by the blue with the resulting elliptical shape cut out).
Explanation:
The angle of the plane is directly correlated to the shape of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape cut out is also much shorter in length. Conversely, when the plane is at a steep angle, the resulting elliptical shape cut out is much longer in length.
This is because the angle of the plane determines the amount of material that will be removed when the plane is used to cut the elliptical shape. When the plane is at a low angle, less material is removed, thus producing a shorter elliptical shape. When the plane is at a steep angle, more material is removed, thus producing a longer elliptical shape.
In addition, the angle of the plane also affects the depth of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape is shallow. Conversely, when the plane is at a steep angle, the resulting elliptical shape is deep.
