Suppose a block a mass of 2.50 kg is resting on a ramp. If the coefficient of static friction between the block and ramp is 0.350, what maximum angle can
Answers
The maximum angle at which the block of mass 2.50 kg can rest on the ramp is approximately 19.8 degrees.
Mass of the block (m) = 2.50 kg
Coefficient of static friction (μ) = 0.350
The maximum angle at which the block can rest on the ramp can be determined by considering the balance of forces acting on the block. When the block is at the verge of sliding, the force of static friction between the block and the ramp reaches its maximum value.
The force of static friction can be calculated using the formula:
F_friction = μN,
where F_friction is the force of friction and N is the normal force acting on the block.
The normal force (N) can be determined by considering the forces acting perpendicular to the ramp. In this case, it is equal to the weight of the block:
N = mg,
where g is the acceleration due to gravity (approximately 9.8 m/s²).
Substituting the values into the equations, we have:
N = (2.50 kg) × (9.8 m/s²) = 24.5 N,
F_friction = (0.350) × (24.5 N) = 8.57 N.
At the maximum angle, the force of static friction is equal to the component of the weight of the block parallel to the ramp:
F_friction = mg sinθ,
where θ is the angle of the ramp.
Rearranging the equation, we get:
θ = arcsin(F_friction/mg).
Substituting the given values, we find:
θ = arcsin(8.57 N / (2.50 kg × 9.8 m/s²)).
Calculating this expression gives us:
θ ≈ 19.8 degrees.
Therefore, the maximum angle at which the block of mass 2.50 kg can rest on the ramp is approximately 19.8 degrees.
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Related Questions
Make a quantitative graph for the motion of the two cars
Answers
A current flows through a 6
resistor and the potential
difference across the resistor is
15V. What current flows through
the resistor? (don't use any units,
numbers only)
Answers
Answer:
2.5 A
Explanation:
Ohms law is a physical law relating the voltage difference between two points, the electric current flowing between them, and the resistance of the path of the current. Mathematically, the law states that V = IR, where V is the voltage difference, I is the current in amperes, and R is the resistance in ohms. It is can easily be deduced from the foregoing that the voltage is directly proportional to current and the resistance is the constant of proportionality.
From ohm's law;
R= 6Ω
V= 15V
I= ???
V=IR
I= V/R
I= 15 V/6Ω
I= 2.5 A
Two negative charges are moved closer together. Write one or two sentences to describe the energy conversion that happens.
Answers
Answer:
They will repell each other so they both will give lots of energy and the situation is exothermic.
Explanation:
Got it right
As two negative charges are moved closer together, the electrostatic potential energy between them increases.
This increase in potential energy occurs because the like charges repel each other, and as they move closer, the force of repulsion becomes stronger, resulting in a higher potential energy state.
Hence, As two negative charges are moved closer together, the electrostatic potential energy between them increases.
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1. A student carries a 12 kg box up a flight of stairs at a slow constant speed in 4. 5 seconds. The height
of the flight of stairs is 3. 6 meters.
a. What is the weight of the box? (in other words, its force in Newtons)
Want:
Given:
Can someone help me which this physic homework please?
Formula:
Solve:
b. How much work does the student do on the box? Draw a problem solving box!
c. What is the student's output power? Draw a problem solving box!
can someone help me with this physic homework pleas?
Answers
The weight of the box is 120N and work done is 432J.
We know that weight is just the force.
Weight = F = mg
where, m = mass of the body = 12kg
g = acceleration due to gravity = 10 m/s^2
Putting these values in above equation we get : F = 120 N
So, the weight of the box is 120N.
We know that work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Now Work done by an object is given by : W = F.d
where,
F = force acting
d = displacement = 3.6 m
Putting these values in above equation we get: W = 120 * 3.6 = 432J
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when a mass m hangs from a vertical wire of length l, waves travel on this wire with a speed v.A. what will be the speed of these waves if we triple M without stretching the wire?
B. what will be the speed of these waves if we replace the wire with an identical one, except twice as long?
C. What will be the speed of these waves if we replace the wire with one of the same length, but two times as heavy
D. what will be the speed of these waves if we stretch the wire to thrice its original length
E. What will be the speed of these waves (in terms of V) if we increase M by a factor of 18.0, which stretches the wire to double its origina length?
Answers
A. The speed of the waves will remain unchanged if the mass is tripled without stretching the wire.
B. The speed of the waves will be halved if the wire is replaced with an identical one, except twice as long. This is because the waves will have to travel twice the distance in the same amount of time.
C. The speed of the waves will remain unchanged if the wire is replaced with one of the same lengths, but two times as heavy.
D. The speed of the waves will be halved if the wire is stretched to thrice its original length. This is because the waves will have to travel thrice the distance in the same amount of time.
E. The speed of the waves will be halved if the mass is increased by a factor of 18.0 and the wire is stretched to double its original length. This is because the waves will have to travel twice the distance in the same amount of time. The speed of the waves will thus be V/2.
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why is a vacuum line attached to a fuel-pressure regulator on many por-fuel-injected engines?
A) to draw fuel back into the intake manifold through the vacuum hose
B) to create an equal pressure drop across the injectors
C) to raise the fuel pressure at idle
D) to lower the fuel pressure under heavy engine load conditions to help improve fuel economy
Answers
A vacuum line is attached to a fuel-pressure regulator on many port-fuel-injected engines to create an equal pressure drop across the injectors and ensure consistent fuel delivery. Therefore, Option B is the correct answer.
The vacuum line attached to the fuel-pressure regulator helps create an equal pressure drop across the injectors. This is necessary because the fuel injectors require a specific pressure to deliver the correct amount of fuel to the engine cylinders.
The fuel-pressure regulator's primary function is to maintain a steady fuel pressure within the fuel rail. By connecting the vacuum line to the regulator, the intake manifold's vacuum is used to counterbalance the fuel pressure. As engine load and throttle position change, the intake manifold's vacuum also varies, which in turn affects the fuel pressure delivered to the injectors.
The vacuum line helps ensure that the fuel pressure at the injectors remains consistent regardless of engine load. This is important for maintaining fuel efficiency, engine performance, and emission control. By providing an equal pressure drop across the injectors, the vacuum line helps deliver the correct fuel-air mixture for optimal combustion and engine operation.
Hence, the vacuum line attached to the fuel pressure regulator in port-fuel-injected engines plays a crucial role in maintaining consistent fuel pressure and ensuring proper fuel delivery to the engine's cylinders. Therefore, Option B is the correct answer.
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A multidimensional database (MDDB) is a type of database in which data can be viewed from multiple dimensions; commonly used with ____.
Answers
A multidimensional database (MDDB) is a type of database in which data can be viewed from multiple dimensions; commonly used with MOLAP.
A multidimensional database offers the capacity to swiftly process records and generates answers quickly. MDBs allow customers ask questions about agencies' operations and traits.
The multidimensional databases employ MOLAP (multidimensional on line analytical processing) to get entry to its records. They allow the customers to speedy get solutions to their requests through producing and studying the information as a substitute speedy. The information in multidimensional databases is saved in a statistics dice layout.
In a dimensional database, you've got rows and columns, represented by way of X and Y. In a multidimensional database, you've got were given X, Y, Z, etc. depending on the number of dimensions to your statistics. below is an example of a 3-Dimensional information Array represented in a relational desk and in three-D.
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how do atomic structures apply to the formation of stars?
Answers
Answer:
Stars create new elements in their cores by squeezing elements together in a process called nuclear fusion. First, stars fuse hydrogen atoms into helium. Helium atoms then fuse to create beryllium, and so on, until fusion in the star's core has created every element up to iron.
Explanation:
Hope this helps.
Answer:
hahahahahaha hahahahaha hahah
It costs 2.6 cents to charge a car battery at a voltage of 12 V and a current of 15 A for 120 minutes.
What is the cost of electrical energy per kilowatt-hour at this location?
Express your answer indollars per kilowatt-hour. Express your answer using two significant figures.
Answers
To two significant numbers, the cost of electrical energy per kilowatt-hour at this location is roughly 0.072 dollars/kWh.
To start, let's figure out how many kilowatt-hours (kWh) of energy were used:
Convert the time units to hours as follows: 120 minutes / 60 minutes each hour = 2 hours.
Use the following formula to get the energy consumed in kilowatt-hours:
certifies a............... (hours)
Power (kW) is calculated as Voltage (V) x Current (A) / 1000, where 12 V x 15 A / 1000 is 0.18 kW.
Energy (kWh) equals 0.18 kW times two hours, or 0.36 kWh.
Then, using the stated cost of battery charging, we can determine the price of electrical energy per kilowatt-hour:
Price (in dollars) equals 2.6 cents to 0.026 dollars.
Cost per kWh is calculated as Cost/Energy, which is 0.026 dollars/0.36 kWh, or 0.072 dollars/kWh.
Hence, to two significant numbers, the cost of electrical energy per kilowatt-hour at this location is roughly 0.072 dollars/kWh.
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Which of the following requires the most work done by the brakes of a car?
A. slowing down from 80 mph to 55 mph
B. Stopping from 55 mph
C. equal amounts of work for both
Answers
Stopping from 55 mph requires the most work done by the brakes of a car.
Hence, the correct option is B.
When a car slows down or comes to a complete stop, the work done by the brakes is directly related to the change in kinetic energy of the car. The kinetic energy of an object is given by the equation:
Kinetic energy = (1/2) * mass * \(velocity^2\)
Comparing the options:
A. Slowing down from 80 mph to 55 mph: In this case, the car is experiencing a decrease in velocity, resulting in a decrease in kinetic energy. However, the change in kinetic energy is less compared to option B.
B. Stopping from 55 mph: In this case, the car comes to a complete stop, resulting in a significant decrease in velocity and a substantial change in kinetic energy. The brakes need to dissipate the entire kinetic energy of the car, requiring the most work.
C. Equal amounts of work for both: This option is incorrect. Slowing down from a higher speed to a lower speed (option A) requires less work than coming to a complete stop (option B). The work done by the brakes is directly proportional to the change in kinetic energy, and stopping from a higher speed involves a greater change in kinetic energy.
Therefore, Stopping from 55 mph requires the most work done by the brakes of a car.
Hence, the correct option is B.
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A car starts from rest and accelerates along a straight line path in one minute. it finally attains a velocity of 40 meters per second. what is the car's average acceleration
Answers
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a person wearing roller skates is standing in front of a wall. assume that the wheels on the skates are good enough that they roll ideally. the person pushes off the wall and begins traveling away from the wall. call the initial state when the person was standing at rest in front of the wall with her hand touching the wall. the final state is when she has traveled 2.1 m away from the wall and is moving at a constant speed of 0.69 m/s. for which of the following systems does the energy remain constant? click for a hint a. system: girl b. system: wall c. system: girl wall d. none of the above. a person is jumping on a trampoline. after coming off of the trampoline, the person is in the air for 1.1 seconds. call the initial state when the trampoline is at its lowest point with the person still on the trampoline. the final state is 0.88 seconds after the person comes off the trampoline. for which of the following systems does the energy remain constant? a. system: person earth b. system: trampoline c. system: person trampoline earth d. system: person e. system: person trampoline f. none of the above. pushing a box up a ramp / car crash you push a box up a ramp (friction between the box and the ramp is not negligible). call the initial state when you begin to push the box. call the final state after you have pushed the box up the ramp a distance of 0.5 m and it is moving with a speed of 2 m/s for which of the following systems does the energy remain constant? a. system: box ramp earth you b. system: box ramp c. system: you d. system: box e. system: box ramp earth f. none of the above. two cars are driving down the road. they notice that they are going to crash, so both drivers slam on the brakes. the cars skid, but still collide. the cars stick together and eventually slide to a stop. call the initial state just before the drivers apply the brakes and the final state just after the collision had occurred. treat this situation as realistically as possible. for which of the following systems does the energy remain constant? a. system: both cars b. system: both cars the ground c. system: the first car d. system: the second car e. none of the above.
Answers
In the first scenario, the energy would be conserved in the system of the girl-wall, The correct answer is option c
In the second scenario, the energy would be conserved in the system of the person-trampoline-earth, The correct answer is option c
In the third scenario, the energy would be conserved in the system of the box-ramp-earth, The correct answer is option a
In the fourth scenario, in a realistic scenario, the energy would not be conserved in any of the given systems due to external work done on the system. The correct answer is option e
For the first scenario of a person wearing roller skates, assuming there is no external work done on the system, the system of the girl-wall would be the appropriate system to consider. The energy would not be conserved in any other system, as there would be external work done on the system due to forces acting on the girl, wall, or both. Therefore option c is correct.
For the second scenario of a person jumping on a trampoline, assuming there is no external work done on the system, the appropriate system to consider would be the system of the person-trampoline-earth, as the energy would be conserved within this closed system.
None of the other systems would conserve energy, as external work would be done on the system due to the forces acting on the person, trampoline, and/or Earth. Therefore option c is correct.
For the third scenario of pushing a box up a ramp, assuming there is no external work done on the system, the appropriate system to consider would be the system of the box-ramp-earth, as the energy would be conserved within this closed system.
None of the other systems would conserve energy, as external work would be done on the system due to the forces acting on the box, ramp, and/or Earth. Therefore option a is correct.
For the fourth scenario of two cars colliding and coming to a stop, it is important to note that in a realistic scenario, there would be external work done on the system due to forces such as friction, air resistance, and deformation of the cars.
Therefore, the energy would not be conserved in any of the given systems. However, if the scenario were simplified to only consider idealized, perfectly elastic collisions in a vacuum, then the system of both cars would conserve energy. Therefore option e is correct.
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An electric current can be generated in a wire in a circuit when at least part of the wire ____________.is coated in plastic.is made of aluminum.moves through and cuts magnetic field lines.is not moving.
Answers
Answer:
Explanation:
When a coil of wire is moved around a magnet, it induces electrons into the wire and creates electric current. Thus, the correct option is
moves through and cuts magnetic field lines
In what direction do the velocity vectors point in circular motion?
Answers
The velocity vector is always perpendicular to the radius. By radius, I mean the inward centripetal force that pulls the object to continue on its curved path. Without this inward force, the object would continue on a straight path tangential to the curve it was previously on.
what will be the value of g if both masses are halved?
Answers
Answer:
f/4
Explanation:
Explanation: Gravitational force between two objects varies directly as their masses and inversely as the square of the distance between them. So, when the masses of both objects are halved without changing the distance, the gravitational force between them would become one-fourth of the original value
was newton a realist or anti-realist?
Answers
Answer: Newton was a realist
Explanation: Newton held a realist reading of scientific theory as based upon inference from facts and observation, and his gravitational theory (or NGT) as deduced from observed phenomena and Kepler's laws.
Fighter jets on aircraft carriers are accelerated down a 270 foot "runway" in two seconds when they are taking off. A fully loaded, combat ready F-15 has a maximum take-off weight of 62,000 pounds. To ensure the pilot can reach sufficient velocity within 2 seconds a pneumatic cannon propels the plane down the runway. If this same cannon was used to launch your Toyota Corolla (mass is 2646lbs), how fast in miles per hour would you be going after reaching the end of the runway?
Answers
The speed of the Toyota Corolla would have been 143.9 mph.
What is the acceleration of the F-15?
The acceleration of the F-15 can be calculated as follows:
Acceleration = Velocity Change / Time = (Take-off Speed) / Time
where;
Take-off Speed = √(2dg /t²)
Take-off Speed = √(2 x (270 ft) x 32.2 ft/s² / (2 s)²)
T = √(17496) = 131.6 ft/s
Acceleration = Velocity Change / Time
= (131.6 ft/s) / (2 s) = 65.8 ft/s²
We can use the same acceleration to launch the Toyota Corolla, and calculate its final velocity:
Final Velocity = Initial Velocity + Acceleration x Time
where;
Initial Velocity = 0 (because the car is not moving initially), Time = 2 sFinal Velocity = 0 + (65.8 ft/s²) * (2 s) = 131.6 ft/s
Finally, we can convert the velocity from feet per second to miles per hour:
Velocity (mph) = Velocity (ft/s) x (1 hour/3600 s) x (5280 ft/mile)
= 131.6 ft/s x (1 hour/3600 s) x (5280 ft/mile)
= 143.9 mph
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840 inches to cm show work pls
Answers
if the wave velocity and frequency of a wave are both doubled, the wavelength is
Answers
If the wave velocity and frequency of a wave are both doubled, the wavelength will remain the same.
The wavelength of a wave shows the spatial orientation of distance between two successive crest in a wave medium.
The wavelength λ is expressed by using the relation:
\(\mathbf{\lambda = \dfrac{v}{f}}\)
Now, if velocity and frequency of wave is both doubled, the wavelength will remain the same.
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assuming that one british horsepower 550 ft • lb/s is equal to 746 w, what will be the horsepower rating of a 85-w lightbulb?
Answers
The horsepower rating of an 85-watt light bulb is approximately 0.1139 horsepower.
One British horsepower 550 ft · lb/s is equal to 746 W.
The horsepower rating of an 85 W light bulb can be calculated using the given information.
The power rating of a lightbulb is given in watts, and one watt is equivalent to 1/746 horsepower.
Therefore, to calculate the horsepower rating of an 85-watt light bulb, we can use the following formula:
Horsepower rating = Power rating in watts / 746 horsepower1 horsepower = 550 ft · lb/s
Hence,Horsepower rating = 85 W / 746 horsepower= 0.1139 horsepower
Therefore, the horsepower rating of an 85-watt light bulb is approximately 0.1139 horsepower.
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How does negative feedback influence the behavior of a system?
A. It maintains control by reinforcing the direction the system is
going.
B. It controls the system by ensuring that output is higher than input.
C. It maintains control by reversing the direction the system is going.
D. It controls the system by ensuring that input is higher than output.
Answers
Negative feedback influence the behavior of a system by maintaining the control by reversing the direction the system is going and is denoted as option C.
What is Negative feedback?This type of feedback occurs when outputs from a system are subsequently fed back into it which leads to the reduction of the effect of subsequent iterations.
The negative feedback system influences the behavior of a system by maintaining control through reversing the direction the system is going while on the other hand a positive feedback is direct as a result of more inputs being fed into the system.
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helppppppppppppppppppppppp
Answers
Explanation:
v²= u² + 2as
v= final velocity.
u= initial velocity.
a= acceleration.
s= distance.
At time t=0, a particle is located at the point (3,8,8). It travels in a straight line to the point (8,9,4), has speed 7 at (3,8,8) and constant acceleration 5i+j−4k. Find an equation for the position vector r(t) of the particle at time t The equation for the position vector r(t) of the particle at lime t is r(t)= (Type exact answers, using radicals as needed.)
Answers
The equation for the position vector r(t) of the particle at time t is :r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
Given,Initial velocity, v0= 7 m/s
Final velocity, v = ?
Acceleration, a= 5i + j - 4k
Time, t = ?
Distance between the points, d= √(8 - 3)² + (9 - 8)² + (4 - 8)²
= √25 + 1 + 16
= √42 m
We know that,v = v0 + at
On substituting the given values in the above equation, we get,
7 + a×t = v
⇒ v = 7 + (5i + j - 4k)×t
Now, the equation of motion can be given by the following equation,r(t) = r0 + v0t + 1/2at²
Here,r0 = (3i + 8j + 8k) is the initial position of the particle
On substituting the given values in the above equation, we get,
r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
Hence, The particle's location vector at time t is represented by the equation:r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
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Please help with this problem
Answers
Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.
Which minerals fall under the main categories?Based on their chemical compositions, scientists divide minerals into groups. Nine major mineral classes were originally specified in the Dana Classification System: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There are four basic types of mineral formation: (1) igneous, or magmatic, when minerals form crystals from a melt, (2) Sedimentary, where minerals are produced by a process called sedimentation that uses fragments of other rocks that have suffered weathering or erosion as their raw material, and (3) Metamorphic.Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.To learn more about minerals refer to:
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Among the mineral groups, barite is a sulfide mineral, bornite is a sulfide mineral, cuprite is an oxide mineral, and magnesite is a carbonate mineral.
What are the different mineral groups?Scientists mainly classifies the minerals based on their chemical compositions. The Dana Classification System originally defined nine major mineral classes: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There have been mainly four basic types of mineral formation: (1) igneous, or magmatic, in which minerals form crystals from a melt, (2) sedimentary, in which minerals are produced by a process called sedimentation, which uses fragments of other rocks that have weathered or been eroded as their raw material, and (3) metamorphic.Barite is a sulfate, bornite is a sulfide, cuprite is an oxide, and magnesite is a carbonate mineral.To learn more about minerals refer to :
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I really need help with this question
Answers
What is thermodynamics?
the movement of energy
the classification of energy
the way energy changes
the movement of heat
Answers
Answer:
The movement of energy
Explanation:
Answer:
the movement of energy
Which modulation method represents logical data by changing the carrier wave’s frequency?
Answers
The modulation method that represents logical data by changing the carrier wave's frequency is known as frequency shift keying (FSK).
The modulation method that represents logical data by changing the carrier wave's frequency is called Frequency Shift Keying (FSK). In FSK, different frequencies are used to represent different states or symbols of the logical data. Typically, a specific frequency is assigned to each binary value (0 or 1), and the carrier wave's frequency is shifted between these frequencies to transmit the corresponding binary sequence. FSK is commonly used in various communication systems, including radio, wireless, and digital data transmission applications.
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A magic school bus travelled along this path. What is the magnitude of the total
displacement of the school bus from the start to the end of its trip? (1 point
answer, 1 point work shown)
Answers
how much pressure is applied to the ground by a 109 kg man who is standing on square stilts that measure 0.06 m on each edge? answer in units of pa.
Answers
The pressure applied to the ground by a 109 kg man standing on square stilts that measure 0.06 m on each edge is: 59.935 Pa.
This can be calculated using the formula Pressure = Force/Area.
First, calculate the Force.
Force = Mass x Acceleration due to gravity, so Force = 109 kg x 9.8 m/s2 = 1072.2 N.
Next, calculate the Area.
Area = Length x Width, so Area = 0.06 m x 0.06 m = 0.0036 m2.
Finally, use the Pressure formula:
Pressure = Force/Area, so Pressure = 1072.2 N / 0.0036 m2 = 59.935 Pa.
To summarize, the pressure applied to the ground by a 109 kg man standing on square stilts that measure 0.06 m on each edge is 59.935 Pa.
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What is the energy of a photon with a frequency of 2.2 x 1016 Hz? Planck's constant is 6.63 x 10-34 Jos.
O 1.5 x 10-17
8.8 x 10-17
O 1.5 10-16
O 8.8 10-16
Answers
Answer: 1.5 × 10^-17
Explanation:
Given the following :
Frequency(f) = 2.2 × 10^16 Hz
Planck's constant(h) = 6.63 × 10^-34
The energy of a photon 'E' is given as the product of frequency and the planck's constant
E = hf
E = (6.63 × 10^-34) × (2.2 × 10^16)
E = 6.63 × 2.2 × 10^(-34 +16)
E = 14.586 × 10^-18
E = 1.4586 × 10^-17
E = 1.5 × 10-17 (2 S. F)
Answer:
C. 1.5 × 10–16 J
Explanation: