A proton is released from rest in a uniform electric field of magnitude 50000 v/m directed along the positive x axis and undergoes a displacement of 0.5 m in the direction of the electric field as shown. find the amount of the kinetic energy gained after it has moved 0.5 m..
The amount of kinetic energy gained after it has moved 0.5 m is calculated as [tex]4\times10^{-15}\ J[/tex].
Given:
Electric field, [tex]E = 50000\ V/m[/tex]
Displacement, [tex]d= 0.5\ m[/tex]
Kinetic energy is a term used in physics to refer to the energy that an item has as a result of motion. It's a fundamental idea that explains how an object's motion and energy state are connected.
The particle physics community frequently refers to energy in terms of electron volts , especially when addressing the energies of atomic and subatomic particles. An electron is said to have one electron volt of kinetic energy when it accelerates through an electric potential difference of one volt.
The kinetic energy is given as:
[tex]KE = eV\\KE = e\timesE\timesd\\KE = 1.6\times10^{-19}\times50000\times0.5\\KE = 4\times10^{-15}\ J[/tex]
Hence, the amount of kinetic energy gained after it has moved 0.5 m is calculated as [tex]4\times10^{-15}\ J[/tex].
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A capacitor with capacitance (c) = 4.50 μf is connected to a 12.0 v battery. what is the magnitude of the charge on each of the plates?
The magnitude of the charge on each plate of a 4.50 μF capacitor connected to a 12.0 V battery is 54 μC.
Explanation:To find the magnitude of charge stored on each plate of a capacitor when a voltage is applied, you can use the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage applied. Given a capacitor with a capacitance (C) of 4.50 μF and a voltage (V) of 12.0 V, we can calculate the charge (Q) as follows:
Q = CV = (4.50 μF) (12.0 V) = (4.50 × 10-6 F) (12.0 V) = 54 × 10-6 C = 54 μC
Therefore, the magnitude of the charge on each of the plates of the capacitor is 54 μC.
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To find the charge stored on a capacitor with given capacitance and voltage, use the formula Q = C × V. Substituting 4.50 μF and 12.0 V into the equation yields a charge of 5.40 × 10⁻⁵ C on each plate.
To determine the charge stored on a capacitor's plates, we use the formula:
Q = C × V
Where:
C is the capacitance in farads (F).V is the potential difference in volts (V).Q is the charge in coulombs (C).In this case, we have a capacitance C = 4.50 μF (which is 4.50 × 10⁻⁶ F) and a voltage V = 12.0 V.
By substituting these values into the formula, we get:
[tex]Q = 4.50 \times 10^{-6} \, \text{F} \times 12.0 \, \text{V}[/tex]
Q = 5.40 × 10⁻⁵C
Therefore, the magnitude of the charge on each of the plates is 5.40 × 10⁻⁵ C.
Which of the following is the main evidence of life in the early universe?
A.) Dinosaur fossils
B.) Rock layering
C.) Plant remains
D.) Cyanobacteria
Answer:
Cyanobacteria.
Explanation:
The oldest forms of life would be considered the cyanobacteria from the options, this bacteria are called extremists because they can survive in environments with littlo to zero oxygen andis thought that they have been present from the early begining of the universe because they are the only living organisms known to mankind that are able to survive under those conditions.
An isotope of the element fluorine has 9 protons and 10 neutrons. What is the name of this isotope? fluorine-
Answer:
19
Explanation:
Fluorine-19.
The isotope of fluorine with 9 protons and 10 neutrons is named Fluorine-19. This is because the mass number of an isotope equals the sum of its protons and neutrons, and in this case, 9 (protons) + 10 (neutrons) = 19. The atomic number of fluorine is 9, which means any atom of fluorine will always have 9 protons. A normal (most commonly occurring) atom of fluorine also has a mass number of 19, deriving from 9 protons and 10 neutrons. This makes Fluorine-19 the only stable and naturally-occurring isotope of fluorine.
What resistance is needed in this rc circuit if the flash is to charge to 90% of its full charge in 22 s ?
In a thermostat, what property of the bimetallic coil allows it to contract and expand? The two metals absorb different amounts of thermal energy. The two metals are placed perpendicular to each other. The two metals burn at different temperatures. The two metals turn into liquids when absorbing energy.
Answer:
The two metals absorb different amounts of thermal energy.
Explanation:
Temperature controlling device in an electric equipment like a heater, is called a thermostat.
A bimetallic strip contains two different metals. Each metal has its own characteristic property of expansion or cooling. Coefficient of thermal expansion has a different value for different metals.
The metal that has a higher expansion coefficients will expand more when heated, compared to the metal that has a lower coefficient of expansion.
In a thermostat used in a heating circuit, the electric contact is cut off due to the bending of the bimetallic strip, when the desired temperature is reached.
A proton is fired from far away toward the nucleus of a mercury atom. mercury is element number 80, and the diameter of the nucleus is 14.0 fm. part a if the proton is fired at a speed of 3.4×107 m/s , what is its closest approach to the surface of the nucleus? assume the nucleus remains at rest. express your answer to two significant figures and include the appropriate units.
Answer:
[tex]27fm[/tex]
Explanation:
Kinetic Energy of proton
[tex]Kinetic Energy (K)=\frac{1}{2}mV^{2}[/tex]
[tex]m=Mass of proton[/tex]
[tex]V=Velocity of proton[/tex]
[tex]m=1.67\times 10^{-27} kg[/tex]
[tex]V=3.4\times 10^{7}ms^{-1}[/tex]
[tex]K=\frac{1}{2}\times 1.67\times 10^{-27}kg\times \left (3.4\times 10^{7}ms^{-1} \right )^2[/tex]
[tex]K=\frac{19.305}{2}\times 10^{-13}J[/tex]
[tex]K=9.65\times 10^{-13}J[/tex]
For conservation of energy;
[tex]Kinetic Energy=Potential energy[/tex]
[tex]K= U[/tex]
So,
[tex]U= 9.65\times 10^{-13}J[/tex]
Here,
[tex]U=Potential Energy[/tex]
[tex]U=k_{e}\frac{q_{1}q_{2}}{r}[/tex]
Here,
[tex]k_{e}=Coulomb's law constant[/tex]
[tex]k_{e}=8.99\times 10^{9}Nm^{2}C^{-2}[/tex]
[tex]q_{1}=80e[/tex]
[tex]q_{2}=e[/tex]
[tex]e=1.602\times 10^{-19}C[/tex]
[tex]r=The distance that proton will stop from the center of the nucleus[/tex]
[tex]U=k_{e}\frac{80e\times e}{r}[/tex]
[tex]9.65\times 10^{-13}J=8.99\times 10^{9}Nm^{2}C^{-2}\frac{80\times1.6\times 10^{-19}\times1.6\times 10^{-19} }{r}[/tex]
[tex]r=8.99\times 10^{9}Nm^{2}C^{-2}\frac{80\times1.6\times 10^{-19}\times1.6\times 10^{-19} }{9.65\times 10^{-13}J}[/tex]
[tex]34fm[/tex]
[tex]r_{0}=Radius of the atom[/tex]
[tex]Radius\left ( r_{0} \right )=\frac{diameter\left ( d \right )}{2}[/tex]
[tex]Diameter of the nucleus of mercury atom=14fm[/tex]
[tex]Radius of atom =\frac{14fm}{2}[/tex]
[tex]r=7fm[/tex]
[tex]d=r-r_{0}[/tex]
[tex]d=34fm-7fm[/tex]
[tex]d=27fm[/tex]
Further Explanation:
When a proton approaches a nucleus, it decelerates. Because the repulsive electric field and its kinetic energy converts into electric potential energy.
Then due to this, the proton will stop at a distance “r” from the center of the nucleus.
To find the distance from the surface where the proton hits, we have to subtract the radius of the nucleus.
Learn more:
1. Kinetic energy https://brainly.com/question/1621817 (answer by skyp)
2. Potential energy https://brainly.com/question/12489105 (answer by nitrotype2000)
3. Conservation of energy https://brainly.com/question/11911812 (answer by hrishisup)
Keywords:
Kinetic energy, potential energy, conservation of energy.
An electrical drill has 100 J of chemical energy. Of the 100 J, 45 J are transformed into kinetic energy and 20 J are transformed into sound. The remaining energy is given off as thermal energy.
What is the thermal energy of the drill?
According to law of conservation of energy, the thermal energy of the drill is 35J.
What is law of conservation of energy?The law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time.
Total energy = Kinetic energy + Sound energy+ Thermal energy
100 = 45+20+ Thermal energy
Thermal energy = 35J
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When a clock reads 5.0 seconds a cart's velocity in the negative x direction is 3.0 m/s. when the clock reads 6.0 seconds, the cart's velocity in the positive x direction is 4.0 m/s. what is the magnitude (in m/s2) of the average acceleration of the cart?
The kinematic we find the average acceleration of the body is 7 m/s²
Given parameters
The velocity at two instant of time t₁ = 5.0 s, v₁ = -3.0 m / st₂= 6.0 s, v₂ = 4.0 m / s
To find
The average acceleration of the bodyKinematics studies the movement of the carpus, establishing relationships between their position, speed and acceleration.
Average acceleration is defined as the change in velocity in a given time interval
a_ {avg} = [tex]\frac{\Delta v}{\Delta t}[/tex]
Let's apply this expression to our case
let's set a reference frame where the positive direction of the x axis is positive, so v₁ is negative
a_ {avg} = [tex]\frac{v_2 -v_1}{t_2 -t_1}[/tex]
a_ {avg} = [tex]\frac{4- (-3)}{6-5}[/tex]
a_ {avg} = 7 m / s²
In conclusion using kinematics we find the average acceleration of the body is 7 m / s²
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If an object that enters the Earth’s atmosphere does not completely disintegrate, its remains can impact the Earth true or flase
A boy on a bicycle approaches a brick wall as he sounds his horn at a frequency 400 hz. the sound he hears reflected back from the wall is at a frequency 408 hz. at what is the speed is the boy riding his bicycle toward the wall? assume the speed of sound in air is 340 m/s.
The boy on the bicycle is approaching the brick wall at a speed of 5.88 m/s. This is calculated using the formula for the Doppler effect which describes a frequency shift due to relative motion of the source and the observer.
Explanation:This problem deals with the Doppler effect, which is a shift in frequency perceived by an observer due to relative motion between the source of a wave (here, the bicycle horn) and the observer (the bicyclist hearing the reflected sound from the wall). In this case, we can use the formula for the Doppler effect when both the source and observer are moving towards each other:
f' = f (v + vo) / (v - vs)
where f' is the observed frequency (408 Hz), f is the source frequency (400 Hz), v is the speed of sound (340 m/s), vo is the observer's speed (the boy's speed) and vs is the source's speed (in this case, zero, since the wall is stationary).
Setting up the equation gives us:
[tex]408 = 400 (340 + vo) / (340 - 0).[/tex]boy, gives us vo = 5.88 m/s. Thus, the boy is riding his bicycle towards the wall at a speed of 5.88 m/s.
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Using the Doppler effect principle, the speed of the boy on the bicycle relative to the air is approximately 6.8 m/s.
Explanation:The scenario given in the problem is a classic example of the Doppler Effect: the change in frequency or wavelength of a wave in relation to an observer moving relative to the wave source. In this case, we have the frequency of the sound wave as observed in the stationary frame (400 Hz) and in the moving frame (the boy on the bicycle, 408 Hz). The speed of sound in air is given as 340 m/s.
The observed frequency f is related to the source frequency f0 and the speed of the observer v with respect to the medium (air in this case) by the formula: f = f0*(v + v0) / v, where v0 is the speed of the source of the wave.
Substituting the given values into the equation gives 408 Hz = 400 Hz * (340 m/s + v) / 340 m/s. Solving the equation yields the speed of the boy on the bicycle relative to the air, which comes out to be approximately 6.8 m/s.
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A generator has a terminal voltage of 113 v when it delivers 13.6 a, and 91 v when it delivers 25.3
a. calculate the emf. answer in units of v. 002 (part 2 of 2) 10.0 points calculate the internal resistance. answer in units of Ï.
An arrow is shot from a bow at an angle of 35 degrees above horizontal with an initial speed of 50 m/s what is the arrows horizontal x and y components ?
Answer: Horizontal component of arrow :40.955 m/s
Vertical component of arrow :28.675 m/s
Explanation:
The initial speed of the arrow = u = 50 m/s
The horizontal component of the arrow =[tex]u_x=u\cos\theta [/tex]
The horizontal component of the arrow =[tex]u_y=u\sin\theta [/tex]
Angle between the velocity vector and x component = 35°
Horizontal component of arrow :
[tex]\cos\theta=\frac{u_x}{u}[/tex]
[tex]\cos35^o=0.8191=\frac{u_x}{50}[/tex]
[tex]u_x=0.8191\times 50=40.955 m/s[/tex]
Vertical component of arrow :
[tex]\sin\theta=\frac{u_y}{u}[/tex]
[tex]\sin35^o=0.5735=\frac{u_y}{50}[/tex]
[tex]u_y=0.5735\times 50=28.675 m/s[/tex]
Horizontal component of arrow :40.955 m/s
Vertical component of arrow :28.675 m/s
Why does light refract when it encounters the glass in a lens?
A) because it speeds up, which causes it to bend
B) because it slows down, which causes it to bend
C) because it hits a dense medium, which causes it to bounce off
D) because it gets absorbed, which causes it to lessen in intensity
Answer:
B) because it slows down, which causes it to bend
Explanation:Light hits the glass in a lens because it slows down, which causes it to bend. The material of a lens is more optically dense than the air it is traveling from.
A book rests on a table, exerting a downward force on the table. the reaction to this force is:
This theory lost its appeal when astronomers discovered quasars and cosmic background radiation.
Answer:
The steady state theory
Explanation:
According to the steady state model of the universe, the universe is continuously expanding while maintaining average density as constant. According to the theory, matter is continuously being formed and creating new stars and galaxies while the old ones are becoming un-observable. There is no beginning or end of time.
On the other hand, the big bang theory describes that the entire matter of the universe was confined in a point and with the big bang, this point started expanding. This happened about 13.8 billion years ago. Of course the density and temperature of the universe was very high at the beginning. In the initial few minutes of the big bang, the universe expanded rapidly which resulted in the decrease in its density and temperature. After million years, the universe transparent for radiation to freely travel through space. Cosmic Microwave background is the remnant of this early universe and is a strong evidence of the Big Bang Theory. The number of quasars were greater in past than present which shows that universe is evolving with time.
David’s doctor suspects that he has diabetes. Which of these should be performed by the doctor to confirm the suspicion?
Answer: D.
Explanation: Glucose levels are only option that relates to realistic diagnosis
Rest of the answers-
a DNA analysis to identify genetic abnormalities
a physical exam to look for tumors
a study to observe David’s social behaviors
a test to check David’s glucose levels
Consider a ball rolling down the decreasing slope inside a semicircular bowl (the slope is steep at the top rim, gets less steep toward the bottom, and is zero (no slope) at the bottom). As the ball rolls from the rim downward toward the bottom, its rate of gaining speed
The earth's radius is about 4000 miles. kampala, the capital of uganda, and singapore are both nearly on the equator. the distance between them is 5000 miles as measured along the earth's surface. part a the flight from kampala to singapore takes 8.3 hours. what is the plane's angular velocity relative to the earth's surface? give your answer in â/h.
Explanation:
Radius of earth, r = 4000 miles
Angular velocity is the ratio of linear velocity and radius.
[tex]\omega =\frac{v}{r}[/tex]
Linear distance from Kampala to Singapore = 5000 miles
Time taken = 8.3 hours
Distance = Time x Velocity
5000 = 8.3 x Velocity
Velocity, v = 602.41 mph
Substituting in angular velocity equation
[tex]\omega =\frac{v}{r}=\frac{602.41}{4000}=0.15rad/hr[/tex]
Plane's angular velocity relative to the earth's surface = 0.15 rad/hr
The plane's angular velocity in hours can be calculated using the angle in radians covered in one hour's flight and the Earth's radius, applying the formula for angular velocity.
Explanation:To find the plane's angular velocity relative to the Earth's surface, we need to calculate how many radians the plane covers in an hour and then convert this to angular velocity in degrees per hour. The formula for angular velocity (ω) is ω = θ / t, where θ is the angle in radians and t is the time in seconds. Given that the Earth's circumference is approximately 24,900 miles, we can determine the angle by using the proportion θ / (2π) = distance / Earth's circumference. With the plane's distance being 5000 miles and the Earth's radius being 4000 miles, we use the arc length formula s = rθ, where s is the arc length (5000 miles), r is the radius of the Earth (4000 miles), and θ is the angle in radians. Solving this for θ gives us θ = s / r.
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a 50kg box is being pushed along a horizontal surface. the coefficient of kinetic friction between the box and the ground is 0.35.what horizontal force must be exerted on the box for it to accelerate at 1.20m/s^2
Answer:
Net horizontal force, [tex]F_{net}=231.5\ N[/tex]
Explanation:
It is given that,
Mass of the box, m = 50 kg
The coefficient of kinetic friction between the box and the ground is 0.35, [tex]\mu=0.35[/tex]
Acceleration of the box, [tex]a=1.2\ m/s^2[/tex]
We know that the frictional force acts in opposite direction to the direction of motion. The net force acting on it is given by :
[tex]F_{net}=f+ma[/tex]
[tex]F_{net}=\mu mg+ma[/tex]
[tex]F_{net}=m(\mu g+a)[/tex]
[tex]F_{net}=50\times (0.35\times 9.8+1.2)[/tex]
[tex]F_{net}=231.5\ N[/tex]
So, the net force acting on the box is 231.5 N. hence, this is the required solution.
The compound PCl5 decomposes into Cl2 and PCl3. The equilibrium of PCl5(g) Cl2(g) + PCl3(g) has a Keq of 2.24 x 10-2 at 327°C. What is the equilibrium concentration of Cl2 in a 1.00 liter vessel containing 0.235 mole of PCl5 and 0.174 mole of PCl3? Remember to use the correct number of significant digits. Cl2 = Are the products or reactants favored?
To find the equilibrium concentration of Cl2 in the decomposition of PCl5, we start with initial concentrations, assume x is the change at equilibrium, and apply the equilibrium expression using Keq = 2.24 x 10^-2. Solving this for x yields the equilibrium concentration of Cl2, showing whether reactants or products are favored.
To determine the equilibrium concentration of Cl2 when PCl5 decomposes into Cl2 and PCl3, we can start with the provided concentrations and use the equilibrium constant (Keq).
The equilibrium equation for this decomposition is:
PCl5(g) \<=> Cl2(g) + PCl3(g)
and the given Keq is 2.24 x 10-2 at 327°C.
Let's assume x is the amount of PCl5 that decomposes to form x moles of Cl2 and x moles of PCl3 at equilibrium:
Initial moles of PCl5 = 0.235 molInitial moles of PCl3 = 0.174 molChange for PCl5 = -xChange for Cl2 = +xChange for PCl3 = +xAt equilibrium, we will have:
[PCl5] = (0.235 - x) mol / 1.00 L[Cl2] = x mol / 1.00 L[PCl3] = (0.174 + x) mol / 1.00 LThe Keq expression is:
Keq = [PCl3][Cl2] / [PCl5]
Plugging in the equilibrium concentrations:
2.24 x 10-2 = ((0.174 + x) × x) / (0.235 - x)
This equation can be solved for x to find the equilibrium concentration of Cl2. With the calculated value of x, it is possible to determine the favorability of the reaction. A small Keq value (< 1) typically indicates that reactants are favored, which suggests in this case, PCl5 would be favored at equilibrium.
A uniform rod XY of weight 10.0N is freely hinged to a wall at X. It is held horizontal by a force F acting from Y at an angle 30° to the horizontal, as shown.
What is the value of F?
A- 5.0 N B- 8.7cm C- 10.0cm D-20.0cm
The value of the horizontal force acting on the rod is 10 N. Therefore option (C) is correct.:
Given data:
The weight of rod is, W = 10.0 N.
The angle made by force with respect to horizontal is, [tex]\theta = 30^\circ[/tex].
To maintain the steady position (equilibrium condition), the vertical component of force F must be balanced by the moment of force due to weight.
Therefore,
[tex](Fsin\theta) \times L = W \times \dfrac{L}{2} \\\\(F \times sin30^{\circ}) = \dfrac{10}{2} \\F = 10 \;\rm N[/tex]
Thus, the value of the horizontal force acting on the rod is 10 N. And option (C) is correct.
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a college student exerts 100N of force to lift his laundry basket the weighs 75N. at what rate is the basket accelerated upwards?
The _____ point is the point at which a liquid boils when at a pressure of 14.7 pounds per square inch absolute (psia). A. Boiling B. Combustion C. Flash
Warhol's early paintings of these objects made him famous.
Campbell's soup cans
Coke bottles
comic strips
urinals
A soccer ball is traveling at a velocity of 50 m/s the kinetic energy of the ball is 500 j what is the mass of the soccer ball?
Answer:
Its 0.4kg
Explanation:
Describe the energy transformations that occur from the time a skydiver jumps out of a plane until landing on the ground.
Answer:
Before jumping from the plane, the skydiver has potential energy. When the skydiver jumps, the potential energy is transformed into kinetic energy, which increases until the skydiver reaches terminal velocity. Potential energy is then transformed into thermal energy.
Explanation:
Thats the answer
What properties of titanium make it attractive for use in race-car and jet-engine components?
What does the law of conservation of energy state about energy in a closed system
Explanation:
Law of conservation of energy: The energy of the system can neither be created nor destroyed. It can be transformed from one form to another.
In a closed system, the energy remains conserved. It is isolated from the surrounding.
For example, the ball is rolling from the inclined plane. At the top of the inclined plane, the potential energy is maximum. When the ball starts rolling then the kinetic energy starts increases. Here, the potential energy is converted into kinetic energy. The energy transformation takes place.
5. Amy and Josh are coasting on their bicycles down a 10° slope at 15 m/s through still air. The mass of Amy and her bicycle is 60 kg. The mass of Josh and his bicycle is 90 kg. The cross-sectional area of Amy and her bicycle is 0.45, while the cross-sectional area of Josh and his bicycle is 0.60. The drag coefficient for both cyclists is 0.70. Other than gravity and air resistance, the external forces acting on the two bicycle and rider systems are the same. Which cyclist is more affected by air resistance? The Answer is Amy but what is the math invovled, Please Show Work and Help!
Amy experiences less air resistance due to her smaller cross-sectional area compared to Josh, but as she has a lower mass, the air resistance has a more significant effect on her, making her more affected by air resistance.
Explanation:To determine which cyclist, Amy or Josh, is more affected by air resistance, we can examine the force due to air resistance, which can be calculated using the formula:
Fd = (1/2)ρCdAv2
where Fd is the force of drag (air resistance), ρ is the air density (which we'll assume to be constant for both cyclists), Cd is the drag coefficient, A is the cross-sectional area, and v is the velocity.
Given that both cyclists have the same drag coefficient (Cd = 0.70) and are traveling at the same velocity (v = 15 m/s), the only variables that differ between the two are their cross-sectional areas. Since Amy has a smaller mass and a smaller cross-sectional area (A = 0.45 m2), the force of air resistance will be smaller in magnitude compared to Josh's due to his larger cross-sectional area (A = 0.60 m2).
However, air resistance's impact on an object is also related to the object's mass. A smaller force applied to a smaller mass can have a more significant effect than the same force applied to a larger mass. Therefore, even if the force of air resistance is absolutely higher for Josh, Amy, with her lower mass, would be more affected by it, as it would constitute a more substantial proportion of her total mass.