A coil set-up without an iron core, featuring thirty loops, functioned as the control in the experiments. This configuration served as a baseline to compare the outcomes all other setups contained within the experiment.
How to explain the informationIt is essential that any testing environment deploys a control to create a standard of reference when assessing alterations made to the conditions of the experiment.
The inclusion of an iron core to the coiling design led to the most significant modifications being brought about for the strength of the electromagnet. These changes were evidence by the rise in paperclips collected when inserting an iron nucleus into both the thirty-loop and sixty-loop configurations.
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How much energy would be required to accelerate a particle of mass m from rest to a speed of
a) 0.5c
b) 0.9c
c) 0.99c
Express your anwser in multiples of the rest energy
The energy required to accelerate a particle to speeds of 0.5c, 0.9c, and 0.99c can be calculated as 1.15E₀, 2.29E₀, and 7.08E₀, respectively, where E₀ represents the rest energy of the particle.
Einstein's mass-energy equivalence states that the total energy (E) of an object is equal to its mass (m) multiplied by the speed of light (c) squared, E = mc². To calculate the energy required to accelerate a particle to a specific speed, we need to consider the relativistic effects.
To express the energy in terms of the rest energy (E₀), we divide the total energy (E) by mc², resulting in E/E₀. Thus, for speeds of 0.5c, 0.9c, and 0.99c, we can calculate the energy required as follows:
a) For a speed of 0.5c:
E/E₀ = (mc²)/(mc²) = 1E₀
The energy required is equal to the rest energy.
b) For a speed of 0.9c:
E/E₀ = γmc²/mc² = γ = 1/(1 - v²/c²)^(1/2)
Here, v = 0.9c, so γ = 2.29
The energy required is 2.29E₀.
c) For a speed of 0.99c:
E/E₀ = γmc²/mc² = γ = 1/(1 - v²/c²)^(1/2)
Here, v = 0.99c, so γ = 7.08
The energy required is 7.08E₀.
Therefore, the energy required to accelerate a particle to speeds of 0.5c, 0.9c, and 0.99c is 1.15E₀, 2.29E₀, and 7.08E₀, respectively, where E₀ represents the rest energy of the particle.
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How is kinetic energy different from potential energy? akinetic energy is stored energy that has the capacity to do work, and potential energy is the energy of motionbkinetic energy is energy that an object possesses as a result of its location, and potential is the same as heat energyckinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structuredkinetic energy can be created or destroyed, while potential energy cannot be created and destroyed
We will have that kinetic energy is different from potential energy as follows:
Kinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structure. [Option C]
a person riding in an elevator stands on a metric scale. if the mass of the person is 60.0 kg and the elevator accelerates upward with an acceleration of 4.90 m/s2, what is the reading on the scale?
The reading on the scale is 882.6 N when the elevator accelerates upwards with an acceleration of 4.90 m/s².
Given that the mass of a person is 60.0 kg and the elevator accelerates upwards with an acceleration of 4.90 m/s², we have to determine the reading on the scale.
Let F be the force exerted by the scale on the person. Then, by Newton's second law of motion, the net force acting on the person is Fnet= m * a
where m = 60.0 kg is the mass of the person and a = 4.90 m/s² is the acceleration of the elevator. Hence, the net force acting on the person is given by;
Fnet = 60.0 kg * 4.90 m/s²
Fnet = 294.0 N
Therefore, the scale reading is equal to the force exerted by the scale on the person. Since the elevator is accelerating upwards, the force exerted by the scale on the person is greater than the weight of the person, which is the force of gravity acting on the person.
The force of gravity acting on the person is given by;
Fg = m * g, where g = 9.81 m/s² is the acceleration due to gravity. Hence, the force of gravity acting on the person is given by;
Fg = 60.0 kg * 9.81 m/s²Fg = 588.6 N
Therefore, the scale reading is given by the sum of the force of gravity acting on the person and the net force acting on the person;
F = Fg + Fnet
F = 588.6 N + 294.0 N
F = 882.6 N
Thus, the reading on the scale is 882.6 N when the elevator accelerates upwards with an acceleration of 4.90 m/s².
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the distance from the end of the straight section of conduit to the bend, measured to the centerline or to the inside or outside of the bend or rise.
The distance from the end of the straight section of conduit to the bend can be measured either to the centerline, inside, or outside of the bend or rise. This distance is important for determining the position and alignment of the conduit.
When installing conduits, particularly in electrical or plumbing systems, it is crucial to accurately measure the distance from the end of the straight section to the bend. This measurement helps ensure proper alignment and positioning of the conduit.
The measurement can be taken in different ways depending on the specific requirements of the installation.
Centerline: In some cases, the distance is measured to the centerline of the bend or rise. This means the measurement is taken to the midpoint of the curved section.
Inside of the bend: Alternatively, the distance can be measured to the inner edge or inside surface of the bend. This measurement is useful when considering the clearance required inside the bend for the passage of wires or pipes.
Outside of the bend: Lastly, the distance can be measured to the outer edge or outside surface of the bend. This measurement is relevant when considering the overall size and space requirements of the conduit system.
The specific measurement method used depends on the design and specifications of the installation, ensuring proper fit, alignment, and functionality of the conduit system.
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An object with mass 30 kg travelling as speed of 11 m/s receives an impulse of
240 kg m/s. What is the final velocity of the object?
Answer:
V₂ = 19 [m/s]
Explanation:
The final linear momentum will be equal to the sum of the initial momentum plus the momentum received. By means of the following equation, we can determine the final momentum.
\(m_{1}*v_{1} + IMP_{1-2} = m_{2}*v_{2}\)
where:
m₁ = m₂ = mass = 30 [kg]
v₁ = velocity = 11 [m/s]
IMP₁-₂ = 240 [kg*m/s]
v₂ = final velocity [m/s]
\((30*11) + 240 = 30*V_{2}\\330 + 240 = 30*V_{2}\\v_{2}=19 [m/s]\)
The final velocity of the object is 19 m/s
The impulse is given by:
Impulse = m(v - u)
where m is the mass, v is the final velocity and u is the initial velocity.
Given that impulse = 240 kgm/s, u = 11 m/s, m = 30 kg. Hence:
Impulse = m(v - u)
240 = 30(v - 11)
8 = v - 11
v = 19 m/s
The final velocity of the object is 19 m/s
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a cd has a diameter of 12.0 cm. if the cd is rotating at a constant angular speed of 20 radians per second, then the linear speed of a point on the circumference is
the circumference of the CD is moving at a constant speed of 120 cm/s when the CD is rotating at a constant angular speed of 20 radians per second.
The circumference of the CD can be calculated using the formula C = πd, where d is the diameter. So, for a CD with a diameter of 12.0 cm, the circumference is C = π(12.0 cm) = 37.7 cm (rounded to one decimal place).
The linear speed of a point on the circumference can be found using the formula v = ωr, where ω is the angular speed and r is the radius of the circle. Since the radius of the CD is half the diameter, it is 6.0 cm.
So, the linear speed of a point on the circumference is v = (20 rad/s) x (6.0 cm) = 120 cm/s.
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Which type of modulation is applied to radio-controlled toys?
amplitude
frequency
phase
pulse
Pulse type of modulation is applied to radio-controlled toys, therefore the correct answer is option D.
What is the frequency?It can be defined as the number of cycles completed per second. It is represented in hertz and inversely proportional to the wavelength.
Toys controlled by remote control operate by emitting infrared radiation. These infrared rays have a frequency of 34–48 kilo Hertz.
Different types of modulations, such as frequency and amplitude modulation for transmitting and receiving video and music, are employed for other reasons.
Thus, the Pulse-type of modulation is applied to radio-controlled toys, therefore the correct answer is option D.
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The compounds that make up
plastic are ___________
because they contain carbon and
hydrogen
Answer:
ethylene
Explanation:
ethylene is a compound consist of two double bonded carbon atom and four hydrogen atoms at room temperature is a gas
Answer:
Ethylene
Explanation:
Because Ethylene is a simple molecule composed of two double-bonded carbon atoms and four hydrogen atoms. It's a gas at room temperature. Ethylene molecules can be chemically bonded, end to end, to form a polymer named polyethylene.
a block is resting on an slope. (figure 3) which of the following forces act on the block?
The forces that act on the block that is at rest on the slope are:
weightstatic frictionnormal forceWhat is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Static Friction: What Is It?A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.
A contact force is a normal force. A normal force cannot be applied to two surfaces that are not in contact.
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question
A block is resting on an slope. (Figure 3) Which of the following forces act on the block?
Check all that apply.
weight
static friction
normal force
kinetic friction
A concave mirror has a focal length of 8em. A real object of height 2em is placed 12cm from the mirror. Calculate the distance of the image from the mirror. If the height of the image formed is 4cm.
If the height of the image formed is 4cm, the distance of the image from the mirror is - 24 cm
According to mirror formula,
\(\frac{1}{f} = \frac{1}{v} + \frac{1}{u}\)
f = Focal length
v = Image distance
u = Object Image distance
m = Magnification
\(h_{o}\) = Object height
\(h_{i}\) = Image height
f = - 8 cm
u = - 12 cm
\(h_{o}\) = 2 cm
\(h_{i}\) = 4 cm
1 / ( - 8 ) = 1 / v - 1 / 12
1 / v = - 1 / 24
v = - 24 cm
The formula used to relate focal length with image and object length is mirror formula. This formula can be used for both plane mirror and spherical mirrors such as concave and convex mirrors.
Therefore, the distance of the image from the mirror is - 24 cm
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how many satellites are required to determine the latitude and longitude of a location via gps?
In order to use GPS, four satellites are needed to calculate a location's latitude and longitude.
The receiver must account for the effects of the ionosphere and troposphere, which can cause delays in signal transmission or variations in signal speed. Using information on the distances to three satellites and the location of the satellite at the moment the signal was transmitted, the receiver may determine its own three-dimensional position. An atomic clock that is synchronized to GPS is required to calculate distances from these three signals. Nevertheless, the receiver eliminates the need for an atomic clock by getting a readout from a fourth satellite. The receiver uses four satellites to calculate latitude, longitude, altitude, and time.
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what field would be needed if the wire were made of silver instead? express your answer with the appropriate units.
When a wire is made of silver instead, the field would be required so that the wire is stretched by an amount equal to its original length. In other words, the field should be such that the silver wire stretches by a factor of two. This factor of two is because the Young’s modulus of silver is two times that of copper.
Young’s Modulus (E) is the measure of the resistance of a material to deformation under load. Young’s Modulus is a measure of the stiffness of a material. It is calculated as the ratio of the stress applied to the material to the strain deformation caused in the material in the direction of the applied force.
Explanation: Given that Young’s modulus of copper is 1.1 × 10¹¹ N/m2.
Let's assume that a 1.0 mm diameter wire of copper and its length increases by 0.10%.
The mass of the wire is then calculated as follows;
The original length of the wire is given by;
Length = πd2/4 × L
Length = π × (1.0 × 10-3 m)2/4 × 0.10 m
Length = 7.85 × 10⁻⁷ m3
The new length of the wire ;
L' = L(1 + ε) where L is the original length of the wire and ε is the strain in the wire.
L' = 0.10 m(1 + 0.10%)
L' = 0.1001 m
The new cross-sectional area of the wire;
A' = A(1 + ε) where A is the original cross-sectional area of the wire and ε is the strain in the wire.
A' = πd2/4 × (1 + ε)A'
= π × (1.0 × 10⁻³ m)2/4 × (1 + 0.10%)A'
= 7.865 × 10⁻⁷ m2
The new volume of the wire;
V' = A'L'V'
= 7.865 × 10⁻⁷ m² × 0.1001 mV'
= 7.875 × 10⁻⁸ m³
The mass of the wire;
M = V'ρM
= 7.875 × 10-8 m³ × 8.9 × 103 kg/m³
M = 7.01 × 10⁻⁴ kg
The force required to load the content is;
F = EA/LF = (1.1 × 1011 N/m²) × 7.85 × 10⁻⁷ m3/(0.1001 m - 0.10 m)
F = 3.44 × 10⁻² N
The field required if the wire were made of silver is such that the wire is stretched by a factor of two. The field required is then given by
F = kx where k is the field constant and x is the displacement produced by the field.
The field constant is then calculated as follows;
k = F/x
k = 3.44 × 10⁻² N/(2L)k
= 1.72 × 10⁻² N/m
Thus, the field required if the wire were made of silver instead is 1.72 × 10⁻² N/m.
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Where an electromyogram is used to record information about electrical activity
Electromyography (EMG) is a technique used to evaluate muscle response or electrical activity in response to nerve stimulation of the muscle. The test is intended to aid in the detection of neuromuscular disorders. A tiny needle (also known as an electrode) is introduced through the skin into the muscle during the test.
Is an EKG or ECG used to monitor electrical activity?An electrocardiogram (ECG or EKG) is a test that measures the electrical signal from the heart in order to detect various cardiac problems. Electrodes are implanted on the chest to record the electrical signals generated by the heart, which cause it to beat. On an associated computer display or printer, the signals appear as waves.
The needle is introduced into the bone marrow via the bone and the syringe is linked at the top.
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Describe a scenario to show that waves carry energy, not matter.
Imagine standing at the edge of a calm ocean, holding a buoyant ball in your hand. You toss the ball into the water, and it begins to float away from you. As the ball moves away, you notice that it bobs up and down with the waves, but it does not move in the same direction as the waves.
This scenario demonstrates that waves carry energy, not matter. The ball is made up of matter, and it floats on the surface of the water. However, the waves that pass through the water are made up of energy, not matter. When the waves encounter the ball, they transfer some of their energy to the ball, causing it to bob up and down.
The ball itself is not being carried along by the waves, but is instead being influenced by the energy of the waves as they pass through the water. This is why waves are often described as a disturbance that travels through a medium, rather than as a physical object that moves through space.
In summary, the scenario of a buoyant force ball floating on the surface of the ocean and being influenced by passing waves is a clear example of how waves carry energy, not matter.
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A net force of 15N acts on a 5-kg object. What is the net acceleration
Answer:
using Newton's second law answer would be 3 m/s²
he rate constant of a chemical reaction is found to triple when the temperature is raised from 24 °c to 49 °c. evaluate the activation energy.
Chemical reactions involve the breaking and formation of chemical bonds between atoms and molecules. These reactions are influenced by factors such as temperature, concentration, and the presence of a catalyst. The rate constant of a chemical reaction is a measure of the reaction rate, which is defined as the change in concentration of a reactant or product per unit time. The rate constant is dependent on the temperature of the reaction system and is affected by the activation energy of the reaction.
In this scenario, the rate constant of the chemical reaction tripled when the temperature was raised from 24°C to 49°C. This change in the rate constant is related to the activation energy of the reaction. The activation energy is the minimum amount of energy required for a reaction to occur. It is determined by the Arrhenius equation, which relates the rate constant to the activation energy and temperature.
Using the Arrhenius equation, we can calculate the activation energy of the reaction as follows:
\(\frac{k_{2} }{k_{1}} = exp((\frac{Ea}{R} )(\frac{1}{T_{1}} -\frac{1}{T_{2}}))\)
where \(k_{1}\) and \(k_{2}\) are the rate constants at temperatures \(T_{1}\) and \(T_{2}\) , respectively; Ea is the activation energy of the reaction; R is the gas constant (8.314 J/mol.K).
Substituting the given values, we have:
\(\frac{k_{2} }{k_{1} } = 3\)
T1 = 24 + 273 = 297 K
T2 = 49 + 273 = 322 K
Solving for Ea, we get:
Ea = \(\frac{(1.0986 × 8.314)}{\frac{1}{297}-\frac{1}{322} }\)
Ea = 59.2 kJ/mol
Therefore, the activation energy of the chemical reaction is 59.2 kJ/mol.
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Question 3
When a police officer is trying to decide if a driver is speeding, what is his point of reference?
The ground
His car
The speed limit
All of these
for series circuits, you saw that the current was the same through every element. use your rule for current in parallel to explain why this would happen.
According to the rule for current in parallel circuits, the current through each branch of the circuit is determined by the resistance of that branch and the total voltage applied to the circuit. In a series circuit, there is only one path for the current to flow, so the same current flows through every element.
In a parallel circuit, on the other hand, there are multiple paths for the current to flow, and the current through each branch is determined by the resistance of that branch and the total voltage applied to the circuit. Because the voltage is the same across each branch of a parallel circuit, the current through each branch will depend only on the resistance of that branch. Therefore, the current through each branch can be different in a parallel circuit. In contrast, because there is only one path for the current to flow in a series circuit, the same current flows through every element.
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A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.
Answer:
Density= 2.78 g/cm³
Relative density=2.8
Explanation:
To calculate the density of the cube we have to use the formula ρ=mass/volume
ρ stands for density.
So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³
3³= 9 cm³
Now plug in the values. ρ= 25 g/9 cm³
ρ= 2.78 g/cm³
To find the relative density, we have to use the formula ρsample/ρH20
The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.
Now we have to make the units same so you change the unit of the density of cube to kg/m³
So, 25/1000= 0.025 kg
9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)
=0.000009 m³
The new density= 0.025 kg/ 0.000009 m³
= 2777.78 kg/m³
Now plug the values into the formula:
relative density= 2.777.78 kg/m³ / 997 kg/m³
=2.8
There is no unit since kg/m³ and kg/m³ cancels
Instructions:Draw a speed graph in the box that matches thefollowing scenario:A runner jogged 40m at a slow pace for 40seconds. She then stopped for 40 seconds to gea drink of water. After that, she sped up and ran60m more in 20 seconds.Tip:y axis - total of 100 mx axis - total of 100 s
Given data:
1) Runner jogged 40 m at a slow pace for 40 sec.
2) Stopped for 40 sec.
3) Again funs for 60 m in 20 sec.
Which kind of wind is most likely responsible for the movement of this
weather system from Dallas to St. Louis and then to Pittsburgh?
O A. Trade winds
B. Westerlies
C. Southern polar easterlies
O D. Northern polar easterlies
pls answer fast
Answer:
A. Trade winds
Explanation:
Dallas is located in southern US northern taxes, the city is bounded by highland park and hills. Dallas is a humid subtropical climate and is continental in nature is characterized by extreme weather events such as tornadoes and hailstorms.Answer:
b
Explanation:
Thx to random guy I know this
Consider the polynomial
() = −0. 14 − 0. 153 − 0. 52 − 0. 25 + 1. 2
The true value of its derivative at x=0. 5 is ′
(0. 5) = −0. 9125. Use backward, forward, and centered
first finite differences to estimate the derivative numerically if the step size ∆ = 0. 25, and determine
the percent error between the true value and each of the estimated values (percent error is given by
= −
converted to a percentage. ) What value of ∆ would you have to use for the backward and forward
finite differences to get the same percent error as the centered finite difference (hint: it should be less
than 0. 25. )
The backward finite difference method for estimating the derivative at x=0.5 is:
(f(0.5) - f(0.25)) / (0.5 - 0.25) = (-0.14 - (-0.4025)) / (0.5 - 0.25) = 0.2625 / 0.25 = 10.5
The percent error between this estimate and the true value is:
|(10.5 - (-0.9125)) / (-0.9125)| * 100% = |11.4125 / (-0.9125)| * 100% = 12.48%
The forward finite difference method for estimating the derivative at x=0.5 is:
(f(0.75) - f(0.5)) / (0.75 - 0.5) = (-0.6275 - (-0.14)) / (0.75 - 0.5) = -0.4875 / 0.25 = -1.95
The percent error between this estimate and the true value is:
|(-1.95 - (-0.9125)) / (-0.9125)| * 100% = |-1.0375 / (-0.9125)| * 100% = 1.14%
The centred finite difference method for estimating the derivative at x=0.5 is:
(f(0.75) - f(0.25)) / (0.75 - 0.25) = (-0.6275 - (-0.4025)) / (0.75 - 0.25) = -0.225 / 0.5 = -0.45
The percent error between this estimate and the true value is:
|(-0.45 - (-0.9125)) / (-0.9125)| * 100% = |0.4625 / (-0.9125)| * 100% = 0.51%
To get the same percent error as the centred finite difference, we would have to use a step size of ∆ = 0.125.
This is because a smaller step size means a smaller difference between the estimates and the true value, and therefore a smaller percent error.
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Is the process of science described in this lesson similar to your initial ideas about how science is carried out? Explain why or why not.
The process of science followed my initial ideas e because it involved experiments.
What is the process of science?The process of science or the scientific method refers to the process which scientists follow in their discovery and explanation of natural phenomena.
The scientific method is given below:
making an observation,develop a hypothesis,making a prediction,conducting an experiment analyzing the resultspropound a lawThe process of science follows my initial ideas about the process of science because I always thought science involved experiments.
In conclusion, the process of science involves making hypothesis and conducting research.
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the electrical force, f, between two point charges is directly related to the product of the charges and inversely related to the distance between them. what happens to an electrical force if the distance between two charges doubles while all other factors remain constant?
The product of the charges and the distance have a direct relationship with the electrical force, F, between two point charges.
How does the distance between two charged objects affect the electrical force?The square of the distance between the two charges and the strength of the force are inversely related. As a result, if the gap between the two charges is increased, the attraction or repulsion is reduced.
What is the change in force between two point charges?Coulomb's law states that the force of attraction or repulsion between two charged bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their charges.
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Wagonium-292 has a half-life of 1 hour. If you started with an 80 gram sample, how much Wagonium-292 will remain after 4 hours? A.) 10g B.) 40g C.) 160g D.) 5G
After 1 hour, 80 g decays to 40 g.
After another hour (total 2 hours), 40 g decays to 20 g.
After another hour (total 3), 20 g decays to 10 g.
After one more hour (total 4), 10 g decays to (D) 5 g.
An electric iron is connected to the mains power supply of 220 V. When the electric iron is
adjusted at 'minimum heating' it consumes a power of 360 W but at 'maximum heating' it takes a
power of 840 W. Calculate the current and resistance in each case.
Answer:
Given: V = 220V, Pmin = 360W, Pmax = 840W
For minimum heating case:
We know that
Pmin = VI
360 = 220 X I
I = 1.63 amp
R = V/I
R = 220/1.63
R = 134.96ohms
For maximum heating case:
We know that
Pmax = VI
840 = 220 X I
I = 3.81 amp
R = V/I
R = 220/3.81
R = 57.74 ohms
A ray of light strikes a plane mirror at an angle of incidence of 60°, is reflected from the mirror and then strikes a second plane mirror placed so that the angle beftween the mirrors is 45°. The angle of reflection at the second mirror, in degrees, is
A 15
B 25
C 45
D 65
E 75
plz help me guys ASAP!
Answer:
60 - 45 = A. 15
Explanation:
Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.
60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.
What is Plane mirror?A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.
A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.
The image that follows illustrates how an object appears when viewed via a plane mirror.
Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.
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What does it mean when an
electromagnetic wave has low energy?
A. it has a long wavelength
B. It has a short wavelength
C.it has a short amplitude
D. It has a high frequency
Answer:
A
Explanation:
Low energy photons (such as radio photons) behave more like waves, while higher energy photons (such as X-rays) behave more like particles.
Please give brainliestAnswer:
B. It has a short amplitude.
:)
Calculate the minimum height that 7.0 kg of water must fall to gain 1300 J of kinetic energy.
Explanation:
K=mgh\\1300=(7)(9.8)h\\h=19\ mK=mgh
1300=(7)(9.8)h
h=19 m
what is the acceleration of a car that starts at 0 and goes to 45mph in 5 seconds
The acceleration of the car will be 9m/s2.
What is acceleration?Acceleration is the rate of change in velocity. Involves a change in speed and direction. When acceleration involves a change in speed only: Positive acceleration it occurs when an object speeds up. Negative acceleration occurs when an object slows down. Acceleration is a change of velocity over a period of time.
Using the formula;
\(a = \frac{v-u}{t}\)
v = final velocity (45mph)
u = initial velocity (0)
t = 5 seconds
\(a = \frac{45 - 0}{5}\)
a = 9m/s2.
In conclusion, the acceleration of the car will be 9m/s2.
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The acceleration of the car moving with a velocity of 13.37m/s in 5s is 2.67m/s²
What is acceleration?Acceleration is the rate of change of velocity with time. It is the measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is a vector quantity.
Acceleration = change in velocity/ time
therefore a= (v-u)/t
where v = final velocity and u= initial velocity, t is the time
since 1meter = 0.000621miles and 60×60 seconds is 1hour, then
45 mph to m/s is 45×1609.344/60×60
= 48120.48/3600= 13.37m/s
a= (13.37-0)/5
a= 13.37/5
a= 2.67m/s²
therefore the acceleration of the car is 2.67m/s²
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