The potential energy of the block at halfway down the incline is 2.5 J.
What is the block's gravitational potential energy?The gravitational potential energy of the block is calculated by applying the principle of conservation of energy as show below.
Mathematically, the formula for conservation of energy is given as;
E = K.E + P.E
where;
K.E is the kinetic energyP.E is the potential energyBased on law of conservation of mechanical energy, the block will possess maximum potential energy at the maximum height and zero kinetic energy. Also at the half way down the fall of the block, it will have equal kinetic and potential energy.
Finally, at the bottom of the incline the block will have maximum kinetic energy and zero potential energy.
The potential energy of the block at halfway down the incline is calculated as;
P.E = K.E = ¹/₂ x 5 J
P.E = 2.5 J
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Find out the distance, traveled by the body from A to B
From the given picture we can calculate distance traveled by the body from A to B.
Formula of velocity=[tex]\frac{displacement }{time\\}[/tex]
Observe the x-axis
From the graph we say time taken by the body from A to B = 30-20 =10 sec
Observe y-axis velocity=40m/s
Displacement= velocity * time
D=40*10
D=400 meters
Distance means total path covered by the body.
Displacement means shortest path between starting and end point.
The distance traveled by the body from A to B is 400meters
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The gravitational force between two objects is inversely proportional to?
Answer:
is inversely proportional to the square of distance between the two objects
a small motor runs a lift that raises a load of bricks weighing 916 n to a height of 12.2 m in 24.2 s .assuming that the bricks are lifted with constant speed, what is the minimum power the motor must produce?
It is referred to as moving at a constant speed when an object's speed remains constant and neither increases nor decreases.
An endless motion is what?A number that remains constant during motion is known as a constant of motion in mechanics, because it effectively places restrictions on motion. However, it is a mathematical limitation rather than a physical one, resulting naturally from the equations of motion (which would require extra constraint forces).
How quickly does night fall?Darkness moves at the same rate as light. More correctly, darkness is simply the absence of light and not a separate physical entity that exists on its own. whenever you partially or completely obstruct the light, such as by cupping your hands,
W=F×d
P=W/t
W= 816 N × 13.2 m=10771.2
P= 10771.2 J / 28.2 s
P=381.96 watts
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TRUE OR FALSE : If car A and car B have the same acceleration, but car B has three times the mass of car A, what must be true about car A and car B
True. If car A and car B have the same acceleration, but car B has three times the mass of car A, car B will require three times the force to achieve the same acceleration as car A. This is because acceleration is directly proportional to the net force acting on an object and inversely proportional to the mass of the object. The equation that relates force, mass, and acceleration is F = ma, where F is the force, m is the mass and a is the acceleration.
Therefore, if car A and car B have the same acceleration, the force required to accelerate car B will be 3 times greater than the force required to accelerate car A due to its three times greater mass.
It's worth noting that the relationship between force, mass, and acceleration is a fundamental concept in physics, and it's described by Newton's second law of motion.
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a sailor watches a ship with smokestack 30m above water level and the sailor's eye level is 4m above water level how far is the ship from shore when the sailor can't see it anymore
The ship is 26 meters from shore when the sailor can no longer see it.the sailor can't see it anymore.
What is the meters ?
Meters are a unit of length in the metric system, equal to 100 centimeters or approximately 39.37 inches. Meters are used to measure the length of objects, such as the height of a tree, the size of a room, or the width of a river. They are also used to measure distances between two points, such as the distance between two cities. Meters are a convenient way to measure the size of large objects, as well as the distance between them.
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Pan A What is the rms speed of a molecule in Mars's atmosphere? Assume R = 8.315 J/mol. K Express your answer with the appropriate units. UftIu Value Units Submit RequesL Answer
The rms speed of a molecule in Mars's atmosphere is calculated to be 345 m/s.
Mars' atmosphere, which has an average temperature of -63 °C, is almost entirely made up of carbon dioxide.
We are aware that a molecule's rms speed is represented by,
Vrms = √(3RT/M)
Where, R = 8.315 J/mol. K
T = temperature = -63 °C = 210 K
M=molar mass (in kg/mol)
Here, Carbon dioxide is present, so M = 44× 10⁻³ kg/mol
After putting the supplied values into the equation above, we obtain,
Vrms = √(3 × 8.315 × 210)/(44× 10⁻³) = 345 m/s
Hence, the required rms speed of a molecule in Mars's atmosphere is 345 m/s.
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Find the EMF in the circuit using the Lorentz force law, showing the contribution of each piece of the circuit.
So, the total EMF in the circuit is given by the sum of the EMF induced in each segment of the circuit, which is E = ILB.L + IVB.L + E.q
What is Lorentz force law?The Lorentz force law states that when a charged particle moves through a magnetic field, the particle will experience a force equal to the product of its charge and the vector sum of the electric and magnetic fields.
The Lorentz force law states that the force on a moving charge in a magnetic field is given by F = q(v x B), where q is the charge, v is the velocity of the charge, and B is the magnetic field. To find the EMF (electromotive force) in a circuit using this law, we need to take into account the contribution of each piece of the circuit.
Consider a wire segment AB of length L carrying a current I. The force on the charges in this segment due to the magnetic field is given by F = ILB (where B is the magnetic field perpendicular to the wire segment). The work done on the charges as they move through this segment is given by W = F.L = ILB.L, which is equal to the EMF induced in this segment.
Consider a resistor R with a potential difference V across it. The force on the charges moving through the resistor is given by F = IVB, where I is the current through the resistor and V is the potential difference across it. The work done on the charges as they move through the resistor is given by W = IVB.L = IVB.L, which is equal to the EMF induced in this resistor.
Consider a battery or generator in the circuit with an EMF of E. The work done on the charges as they move through the battery or generator is given by W = E.q, where q is the charge that moves through the battery or generator.
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a cluster of atoms whose magnetic fields are aligned in the same direction is a . the end of a magnet where the force is the strongest is the . the region where a magnetic force is exerted is the . a substance that is easily magnetized is a
An arrangement of atoms with synchronized magnetic fields is referred to as a "Magnetic Domain."
What is a magnetic field, to put it simply?The magnetic field is the area in which a magnet produces its magnetic effects. We use the magnetic field as a tool to describe how the magnetic force is distributed in the vicinity and inside something magnetic in nature.
What generates a magnetic field?While opposite poles are drawn to one another, the same poles repel one another. When iron is rubbed against a magnet, the iron's atoms' north-seeking poles align in the same direction. The force generated by the aligned atoms creates a magnetic field.
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which of the three objects experiences the greatest buoyant force. which of the three objects experiences the greatest buoyant force. object a. object b object c. all three objects have the same buoyant force.
Objects A, B, and C in Figure 13.16 have the same volume. Rank in order, from largest to smallest, the size of the buoyant forces F(A), F(B), and F(C) on A, B, C.
Which item has the strongest buoyancy?Aluminum suffers the highest buoyant force since it has the highest volume and the largest amount of water displaced.
What kind of force is buoyant, for instance?Here are a few real-world instances of the buoyant force.A ship floating in the ocean, a boat moving down a river, an iceberg floating in the water, a person wearing a life jacket floating in the water, a helium balloon ascending in the sky, etc.The density has a direct relationship with the buoyant force.
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Two basketballs are sitting 1 m apart and are not moving. Which best explains why the gravitational force does not cause the to move?
A. No gravitational force exists between the two objects Because they are not touching.
B. The gravitational force between the two objects is weak because they are 1 m apart.
C. No gravitational force exists between the two objects because their masses are small.
D. The gravitational force between the two objects is weak because their masses are small.
The gravitational force between the two objects is weak because their masses are small. The correct option to this question is D.
What is gravitational forceWhen the mass of either object doubles, the gravitational force between them doubles. If the mass of either object triples, the gravitational force between them triples. If the masses of both objects double, the gravitational force between them quadruples. etc
The gravitational force between two bodies of mass 1 kg at a distance of 1 m is:6.67N
As the two masses move, the value of G in Newton's law of universal gravitation is constant and does not change. Bringing two masses closer together increases the gravitational force between them, but never changes the value of G.
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two students want to know the spring constant of a small spring. when a 70 gram mass is hung vertically from the spring the change in length is 3.08 cm. assuming this spring follows hooke's law, what is the spring constant of this spring?
The spring constant of this spring is -22,275 N/m.
Spring constant is a physical constant that describes the stiffness of a spring. It is used to calculate the force that is needed to extend or compress a spring by a given amount.
Hooke's law states that the force applied to a spring (F) is proportional to the displacement of the spring (x). The equation is:
F = -kx
where k is the spring constant.
To calculate the spring constant (k) of the spring, we need to rearrange the equation to isolate k:
k = -F/x
To solve for the spring constant, we need to know the force applied to the spring. Since we know that the mass hung from the spring is 70 g, we can calculate the force with the equation F = mg, where m is the mass of the object and g is the acceleration due to gravity.
F = 70 g * 9.81 m/s^2
F = 686.7 N
Now we can plug in the values for F and x into the equation k = -F/x to calculate the spring constant:
k = -686.7 N / 0.0308 m
k = -22,275 N/m
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what is the wavelength of the line corresponding to n=4 in the balmer series?
Expression for the Balmer series to find the wavelength of the spectral line is as follows: [tex]\frac{1}{\pi } = R ( \frac{1}{2^{2} } - \frac{1}{n^{2} } )[/tex]
Substitute [tex]1.097 * 10^{7} m^{-1}[/tex]
for R and 4 for n in the above equation
[tex]\frac{1}{\pi } = (1.097 * 10^{7} m^{-1} ) ( \frac{1}{2^{2} } - \frac{1}{4^{2} } )\\ = 0.20568 * 10^{7} m^{-1} \\\pi = 4.86 * 10^{7} m[/tex]
Balmer series is the series of lines of the atomic hydrogen in the visible and the ultraviolet spectrum. The wavelength of the photon emitted in this series corresponds to the electronic transition at the energy level 4 is in visible range of wavelengths.
How to calculate the wavelength using balmer series?
First, calculate the wavelength using the formula for the Balmer series of the spectral line for different values of n. After that, calculate the smallest wavelength in the Balmer’s series by using the formula for Balmer series. Later, calculate the largest wavelength in the Balmer’s series by using the formula for Balmer series. Later, calculate the smallest value of n, which is the lower limit for wavelength in the visible spectrum by using the formula for Balmer series. Finally, calculate the range for the wavelengths for the corresponding values of m by using the generalized formula for Balmer series.
Therefore, [tex]4.86 * 10^{7} m[/tex] is the answer.
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two ships are docked next to each other. their centers of gravity are 40.0 meters apart. one ship weighs 9.8 x 107 n and the other weighs 1.96 x 108 n. what gravitational force exists between them?
The gravitational force between them is 8.34 Newtons, if the weight of one ships is 9.8 × 10⁷ N and the other ship is 1.96 × 10⁸ N.
The weight of first ship = 9.8 × 10⁷ N
Mass of the first ship, m₁ = (9.8 × 10⁷)/9.81 = 1 × 10⁷ kg
Similarly the mass of the second ship, m₂ = (1.96 × 10⁸)/9.81 = 2 × 10⁷
Distance between ships, d = 40 m
Universal Gravitational constant, G = 6.67 × 10⁻¹¹ Nm²/kg²
Gravitational force, F = Gm₁m₂/d²
F = (6.67 × 10⁻¹¹ × 1 × 10⁷ × 2 × 10⁷)/40²
F = 8.34 N
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find the point or points in the region we are interested in where the magnitude of the pressure gradient is the smallest.
The point or points in the region where the magnitude of the pressure gradient is the smallest is at the point where the pressure is the highest, or at the peak of the pressure gradient.
What is pressure?Pressure is a physical quantity that measures the force applied on a surface per unit of area. It is a measure of how much force is being exerted on a particular area and is typically expressed in pascals (Pa). Pressure is often used to describe the forces that are experienced in liquids, gases, and solids. In general, pressure is the result of a force being applied over a given area and can be calculated by dividing the force by the area. Pressure is an important measurement in many fields of science, engineering, and medicine, and can be used to measure the amount of stress and strain experienced by materials.
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Part B
Rank these throws based on the amount of time it takes the ball to hit the ground.
Rank from largest to smallest. To rank items as equivalent, overlap them.
10 m/s 60 degree angle
15 m/s 45 degree angle
20 m/ s 0 degree
10 m/s 90 degree angle
15 m/s 30 degree angle
15 m/s 60 degree angle
The rank of the given throws based on the amount of time it takes the ball to hit the ground will be - 1) 10 m/s 90-degree angle 2) 15 m/s 60-degree angle 3) 20 m/s 0 degrees 4) 15 m/s 30-degree angle 5) 15 m/s 45-degree angle 6) 10 m/s 60-degree angle
What happens to a ball when it is thrown?As you throw a ball up in the air, its velocity rises into the air, but actually, it is decreasing. On its way up, its speed lowers, until it stops at the very top of the ball's motion. Its acceleration is -9.8 m/s^2 at the top.
What law of motion is followed by throwing the ball?When a ball is thrown, the resulting motion of the ball is determined by Newton's laws of motion. From Newton's first law, the moving ball will stay in motion in a straight line unless external forces act on it.
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A student is given a sample of gas that is at room temperature and is sealed in a container by a movable piston. Which of the following adjustments would allow the student to increase the pressure of the gas? SELECT TWO ANSWERS O Put the container in a tank of hot water and hold the piston in place. O Put the container in a tank of room temperature water and pull the piston outward. O Put the container in a tank of cold water and hold the piston in place. O Put the container in a tank of room temperature water and push the piston inward.
The adjustments that would allow the student to increase the pressure of the gas are putting the container in a tank of room-temperature water and pushing the piston inward and putting the container in a tank of hot water and hold the piston in place.
As the gas is sealed in a container by a movable piston, the pressure of the gas can be increased by decreasing the volume of the container. This can be done by pushing the piston inward, which will decrease the volume of the container and thus increase the pressure of the gas.
Putting the container in a tank of hot water will increase the temperature of the gas and thus increase the pressure according to Gay-Lussac's law, which states that the pressure of a gas is directly proportional to its temperature.
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explain in terms of momentum and newton's laws how a car's air resistance is due in part of the fact that it pushes air in its direction of motion
In terms of momentum and Newton's laws, the resistance of the car is increased by the fact that it will push air in the direction of its travel. Since the car is encountering air resistance.
An imbalanced force will be present. You will use some energy working on the car, equal to the work the air resistance does. The relationship between two forces is illustrated here. According to Newton's third rule, the action and reaction forces are equal. As a result, the system is subject to no net force. According to Newton's Second Law, which states that: f = dP/dT, therefore F12 = -F21 , F12 + F21 = 0, the momentum will be retained because there is no net force.
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what are the magnitude and direction of the electric field e at location if there is a negative point charge of at location. include units
If there is a negative point charge of -q at location (r), the magnitude of the electric field at that location would be: E = k * |-q| / r^2 and the direction would be away from the point charge.
What is magnitude ?Magnitude is "distance or quantity." In a kinematic sense, it displays the absolute or relative direction or magnitude of movement of an object. Size is related to both quantity and distance.
The magnitude of the electric field (E) at a point in space due to a negative point charge (q) is given by Coulomb's Law: E = k * q / r^2, where k is the Coulomb constant (approximately 8.99 x 10^9 N * m^2/C^2) and r is the distance from the point charge to the location where the electric field is being calculated. The direction of the electric field is away from the point charge.
So, if there is a negative point charge of -q at location (r), the magnitude of the electric field at that location would be: E = k * -q / r^2 and the direction would be away from the point charge.
The units of Electric field E is N/C (Newton per Coulomb) and the units of distance r is meters.
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Select the correct answer. If the coefficient of static friction is 0.35 and the normal force is 80 newtons, what is the maximum frictional force of the surface acting on the object
The maximum frictional force of the surface acting on the object is greater than or equal to 28 N.
Given that,
Coefficient of static friction = 0.35
It is represented by μ.
Normal force = 80 N
Let us calculate the maximum frictional force of the surface exerted on the object.
The surface's frictional force is equal to the product of the static friction coefficient and the normal reaction.
Mathematically, f = μ N = 0.35 × 80 = 28 N
The answer is 28 N if the static friction coefficient mentioned in the question is equivalent to limiting friction.
The maximum frictional force exceeds 28 N if it is less than the coefficient of limiting friction.
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the shortest path from point a to point b goes through a pond. to avoid the pond, you must walk straight 23 meters along one edge of the pond, then take a 90-degree turn, and again walk straight 57 meters along another edge of the pond to reach point b. if you could walk through the pond, what would be the distance from point a to point b? a. 24 m b. 80 m c. d.
If you could walk through the pond, the distance from point 'A' to point 'B' will be 61.4 meters using Pythagoras theorem.
What is the theory of the Pythagorean Theorem?
Pythagoras discovered that the square of the hypotenuse of a right-angled triangle, where one of the angles is 90 degrees, equals the sum of the squares of the other two sides: a2+b2=c2.
In layman's words, what is the Pythagorean theorem?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a2 + b2, are equal to the squares on the legs.
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a small ball with a mass of 0.6 kg and a velocity of 12 m/s hits another ball with the same mass. the first ball stops moving, and the second ball then moves forward and hits a third ball with a mass of 0.2 kg. if the system is closed, what is the velocity of the third ball? brainly
A little ball that has a mass de 0.6 kg and travels at a speed of 12 m/s collides with another ball that has the same mass. When the first ball ceases moving, the second one advances and collides with a third ball that weighs 0.2 kg. The third ball travels at 36 m/s speed if the mechanism is closed.
What is the straightforward definition of velocity?The displacement an object / particle experiences with regard to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude, sometimes referred to as speed.
What is a good illustration of velocity?Simply said, velocity is the rate of movement in a specific direction. like the speed of the a car driving north on the a highway or the pace at which a rocket takes off.
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What is the thermal speed of hydrogen (H2) molecules at 800 K?
Please give your answer in km/s
The above statement states that at 800 K, hydrogen (H2) molecules have a thermal speed of 0.844 Km/s.
What is the straightforward meaning of speed?Its speed is the rate at which a object's position shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed is a numeric value since it just has a path and no magnitude. The Pressure gauge scale of speed is defined in terms of duration and distance as its fundamental units. The SI unit describing speed is M/s, or meters a second.
V = sqrt(3RT/M)
V= sqrt(3*8.314* 800/28*10⁻³)
v=0.844 Km/s
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If the mass of a satellite is doubled while the radius of its orbit remains constant, the speed of the satellite is increased by a factor of 2. reduced by a factor of 2. reduced by a factor of 8. increased by a factor of 8. not changed.
If the mass of a satellite is doubled whereas the radius of its orbit remains constant, the speed of the satellite is E: not changed.
Orbital speed is the speed required to obtain the balance between the inertia of the satellite's motion and gravity's pull on the satellite. This is estimated at 27,359-kilometer m per hour at an altitude of 242 kilometers. Without gravity, the inertia of the satellite would carry it off into space. If the mass of a satellite is doubled whereas the radius of its orbit is kept constant, then the speed of the satellite also remians constant.
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after the string is cut and the two carts move apart, the magnitude of which quantity is the same for both carts?
after the string is cut and the two carts move apart, The kinetic energy of the carts.
What is the energy ?
Energy is the ability to do work or cause change. It can take many different forms, including thermal, electrical, chemical, nuclear, and mechanical forms. All matter contains energy, which can be harnessed and used to perform various tasks. Energy is essential to life, allowing us to do work, heat our homes, and power our vehicles. It is also necessary to generate electricity, which powers many of the technologies we use every day. Energy is constantly being converted from one form to another, and can never be created or destroyed. By using energy in an efficient and responsible manner, we can help protect the environment and ensure a sustainable future.
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a 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground. determine the total mechanical energy possessed by the skydiver-earth system.
The total mechanical energy possessed by the skydiver-earth system is 707,672 J.
What is the Gravitational?Gravitational force is a physical force that attracts objects with mass to each other. This force of attraction is caused by the gravitational field which is generated by the mass of an object. The gravitational force between two objects is inversely proportional to the square of the distance between them.
The strength of the gravitational force between two objects is determined by the product of their masses and the distance between them. On Earth, the gravitational force of the planet is what keeps us and objects on the ground. Gravity also plays an important role in the motion of planets and other bodies in the Solar System.
Total mechanical energy = kinetic energy + gravitational potential energy
Kinetic energy = 0.5 x 78 kg × (62 m/s)2 = 24,912 J
Gravitational potential energy = 78 kg × 9.8 m/s2 × 870 m = 682760 J
Total mechanical energy = 24912 + 682760 = 707672 J.
Thus, The total mechanical energy possessed by the skydiver-earth system is 707,672 J.
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an electric current is produced using a bar magnet and a solenoid. which changes will cause a decrease in the electric current produced? check all that apply.
The correct answers are B) using fewer wire loops in the solenoid, and C) using a stronger magnet moving the solenoid instead of the magnet moving the magnet more slowly.
This is because, when a bar magnet is moved through a solenoid, it produces a changing magnetic field which induces an electric current in the solenoid. The strength of the electric current produced is determined by the number of wire loops in the solenoid and the speed of the magnet moving through the solenoid.
Therefore, decreasing the number of wire loops in the solenoid and increasing the strength of the magnet moving through the solenoid will cause a decrease in the electric current produced.
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a ball is thrown vertically upward with a speed of 25.0 m/s from a height of 2.0 m. a. how long does it take to reach its highest point? b. how long does the ball take to hit the ground after it reaches its highest point?
To find the time it takes for the ball to reach its highest point, we can use the following kinematic equation: vf = vi + a*t= 2.02 seconds.
Calculation-where
vf = final velocity (0 m/s, since the ball, is at its highest point)
vi = initial velocity (25.0 m/s, upward)
a = acceleration (9.8 m/s^2, downward)
t = time
Substituting in the given values, we get: 0 = 25.0 + (-9.8)t
Solving for t, we get: t = 25.0 / -9.8 = 2.55 seconds
To find the time it takes for the ball to hit the ground after it reaches its highest point, we can again use the kinematic equation:x = vi*t + (1/2)at^2
where
x = distance fallen (2.0 m, the initial height)
vi = final velocity (0 m/s, since the ball is at its highest point)
a = acceleration (9.8 m/s^2, downward)
t = time
Substituting in the given values, we get:
2 = 0t + (1/2)(-9.8)*t^2
Solving for t, we get:
t = √(2/(-9.8)*(1/2)) = 2.02 seconds
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imagine that spacex has created a spacecraft that allows travels to visit black holes safely. which part of a black hole would you expect to see first on your itinerary
When I look outside the black hole things will look warped.
What is a black hole?
A black hole is a region of spacetime where gravity is so strong that nothing, including light or other electromagnetic waves, has enough energy to escape the event horizon.General relativity predicts that sufficiently compact matter can warp space-time and create a black hole.The escape boundary is called the event horizon. Although it has a great influence on the fate and circumstances of the object that crosses it, it has no locally detectable features according to general relativity.In many ways, a black hole behaves like an ideal black body because it does not reflect any light.Additionally, quantum field theory in curved spacetime predicts that event horizons emit Hawking radiation with the same spectrum as a blackbody with a temperature inversely proportional to its mass.To know more about black hole, click the link given below:
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Answer:
Event Horizon
Explanation:
The total voltage dropped across a series-parallel circuit equals one-half of the supply voltage.a. Trueb. False
The total voltage dropped across a series-parallel circuit which equals one-half of the supply voltage is a true statement.
The total voltage drop in the series-parallel circuit corresponds to half the supply voltage. In the parallel part of a series-parallel circuit, the voltage across the branches can be found by multiplying the sum of the branch currents by the equivalent resistance of the resistors in the parallel part. If three resistors are placed in a parallel branch and powered by a 12-volt battery, the voltage drop across each of the three resistors will be 12 volts. The charge flowing through the circuit sees only one of these three resistors and therefore sees a single 12-volt drop.
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The electric field of a plane EM wave is given by Ex = E0cos(kz+ωt),Ey=Ez=0.
Part A: Determine the direction of propagation. (x, y, z,-x,-y,or -z direction)
Part B: Determine the peak value of B⃗ . Express your answer in terms of the variables E0 and appropriate constants.
B0 = ____________
Part C: Determine the direction of B⃗ at location z = 0 and time t = 0. (x, y, z,-x,-y,or -z direction)
The direction of propagation is —z-direction, The peak value of [tex]B_0= \frac{E_0}{c}[/tex], the direction of B at location z = 0 and time t = 0 is along —y-axis.
What is electric field?An electrically charged particle or object creates an electric field, which is the area of space where an electric charge would experience force. Bring another charge into the electric field to observe the electric field, which is present everywhere in space. If the charges are separated enough from one another, the electric field can be practically approximated as zero.
Electric fields are a vector quantity that can be pictured as arrows pointing in the direction of or away from charges. The directions of the lines are either radially outward, away from a positive charge, or radially inward, toward a negative charge.
Part A:
If we write the argument of the cosine function as,
kz +ωt =k(z + ct)
we see that the wave is traveling the —z-direction.
Because E and B are perpendicular to each other and to the direction of propagation, and E is in the x-direction, B can have only y-component, with magnitude [tex]$ B_0= \frac{E_0}{c}[/tex]
Thus, the wave is traveling in the —z-direction.
Part B:
Since, [tex]E_0 = cB_0[/tex]
⇒ [tex]$ B_0= \frac{E_0}{c}[/tex]
Part C:
[tex]E_{x_0}[/tex], B and V must be perpendicular to each other, So, B must be along the y-axis. Also, V is in the x—z. So, B will along —y-axis.
Thus, The direction of propagation is —z-direction, The peak value of [tex]$ B_0= \frac{E_0}{c}[/tex], the direction of B⃗ at location z = 0 and time t = 0 is along —y-axis.
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