Answer:
(C) 16
Explanation:
Given:
The amplitude of first wave (s₁) = 20 mm
The amplitude of second wave (s₂) = 5 mm
Intensity of first wave = Iₓ
Intensity of second wave = [tex]I_y[/tex]
The intensity associated with a wave depends on the amplitude of the wave.
The intensity (I) is directly proportional to the square of the amplitude (s) of the wave and is expressed as:
[tex]I=ks^2\\Where\ k\to constant\ of\ proportionality[/tex]
Now, the intensities of the two waves are given as:
[tex]I_x=ks_1^2=k(20)^2\\\\I_y=ks_2^2=k(5)^2[/tex]
Dividing both the intensities, we get:
[tex]\frac{I_x}{I_y}=\frac{k(20)^2}{k(5)^2}\\\\\frac{I_x}{I_y}=\frac{400}{25}\\\\\frac{I_x}{I_y}=16[/tex]
Therefore, the option (C) is correct.
The intensity of a wave is directly proportional to the square of its amplitude. The ratio of Ix to Iy is 16. Therefore, the correct answer is C. 16.
The intensity (I) of a wave is related to its amplitude (A) by the following equation:
I = (1/2) * ρ * v * ω^2 * A^2
Where:
I is the intensity.
ρ is the density of the medium through which the wave is traveling.
v is the velocity of the wave in the medium.
ω is the angular frequency (equal to 2π times the frequency of the wave).
A is the amplitude of the wave.
Since both waves have the same frequency and are traveling through the same medium, ρ and v will be the same for both waves. Therefore, we can simplify the intensity ratio (Ix/Iy) using the amplitude ratio (Ax/Ay) as follows:
Ix/Iy = (1/2) * (ρ * v * ω^2 * Ax^2) / (1/2) * (ρ * v * ω^2 * Ay^2)
The ρ, v, and ω^2 factors cancel out:
Ix/Iy = (Ax^2) / (Ay^2)
Now, we can plug in the values given:
Ix/Iy = (20mm)^2 / (5mm)^2
Ix/Iy = (400mm^2) / (25mm^2)
Ix/Iy = 16
So, Ix/Iy = 16.
Therefore, the correct answer is C. 16.
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Which of the following is an example of a wheel and axle?
A. wheel barrow
B. automobile steering wheel
C. jar lid
D. pencil
Answer:
A. Wheel barrow
can't rlly explain-
The correct answer to the question is B. automobile steering wheel, as it represents a wheel and axle system where the steering wheel turns the axle (steering column), steering the vehicle.
A wheel and axle is a simple machine where a wheel is attached to a central rod known as an axle. The combination is designed to amplify force and can be found in many tools and machines. In the context of the provided options, B. automobile steering wheel is the correct answer, as it exemplifies a wheel and axle system. The steering wheel serves as the wheel that, when turned, rotates the axle (steering column) which ultimately steers the vehicle.
Other examples provided, such as a wheelbarrow, jar lid, and pencil, do not fit the definition of a wheel and axle as accurately. The wheelbarrow indeed has a wheel, but the axle's function and setup differ from the wheel and axle mechanism. The jar lid is more similar to a screw, and a pencil lacks the rotational mechanics involved in a wheel and axle system.
A car moves along a horizontal road with constant velocity v0 = v0xi until it encounters a smooth inclined hill, which it climbs with constant velocity v1 = v1xi + v1yj as indicated in the figure. The period of time during which the car changes its velocity is Δt.
Answer:
a ave = ( v1x - v0x ) i/Δt + v1y j/Δt
Explanation:
The acceleration of a body is the rate of change of the velocity of the body
The correct equation and value for the average acceleration vector and magnitude of the acceleration of the car are as follows;
Part (a) The average acceleration vector is [tex]\overset \rightarrow a_{av} =\dfrac{(v_{1x} - v_{0x})}{\Delta t} }\mathbf{i} + \dfrac{v_{iy} }{\Delta t} \mathbf{j}[/tex]
Part (b) The magnitude of the cars acceleration is [tex]\mathbf{ 2.\overline{518} }[/tex] m/s²
The reason the above values are correct is as follows:
Question: The parts of the question that appears to be missing are;
Part (a); The vector expression for the average acceleration in the time periods
Part(b); Find the magnitude of the cars acceleration
Variables:
v₀ₓ = 31 m/s
v₁ₓ = 31 m/s
[tex]v_{1y}[/tex] = 6.8 m/s
Δt = 2.7 s
Solution:
Part (a) The average acceleration vector, [tex]\mathbf{\overset \rightarrow a_{av}}[/tex], is given as follows;
[tex]Average \ acceleration \ vector, \overset \rightarrow a_{av} = \mathbf{\dfrac{\overset \rightarrow v_2 - \overset \rightarrow v_1}{t_2 - t_1}} =\dfrac{\Delta \overset \rightarrow v}{\Delta t}[/tex]
The given parameters in the question;
v₀ = v₀ₓ i
v₁ = v₁ₓ i + [tex]v_{1y}[/tex]j
∴ v₁ - v₀ = v₁ₓ i + [tex]v_{1y}[/tex]j - v₀ₓ i
The average acceleration vector becomes;
[tex]\overset \rightarrow a_{av} = \mathbf{\dfrac{\overset \rightarrow v_1 - \overset \rightarrow v_0}{\Delta t}} =\dfrac{(v_{1x} - v_{0x})\mathbf{i} + v_{iy} \mathbf{j}}{\Delta t}[/tex]
Therefore;
[tex]\mathbf{The \ average \ acceleration \ vector} \overset \rightarrow a_{av} =\dfrac{(v_{1x} - v_{0x})}{\Delta t} }\mathbf{i} + \dfrac{v_{iy} }{\Delta t} \mathbf{j}[/tex]
Part (b) The magnitude of the car's acceleration is given by plugging values of the variables v₀ₓ, v₁ₓ, [tex]\mathbf{v_{1y}}[/tex], and Δt in the above equation as follows;
[tex]\overset \rightarrow a_{av} =\dfrac{(31 \, m/s - 31 \, m/s)\mathbf{i} + 6.8 \, m/s \mathbf{j}}{2.7 \, s} = 2.\overline{518} \ m/s^2 \ \mathbf{j}[/tex]
The magnitude of the cars acceleration, a = [tex]\sqrt {(2.\overline{518} \ m/s)^2 } = \mathbf{ 2.\overline{518} \ m/s^2}[/tex]
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How fast is a ball going when it hits the ground after being dropped from a
height of 13 m? The acceleration of gravity is 9.8 m/s2
Answer:
16 m/s.
Explanation:
potential energy = kinetic energy.
mgh = ½mv².Cancelling m from both sides,
gh = ½ v².
9.8*13 = ½ v²
2(127.4) = v²
v² = 254.8
v = √254.8
v = 15.96 ~ 16m/s.
Answer:
v = 16.1 m/s
Explanation:
Where is the input force
in the use of this simple
machine?
A. The feet planted in the snow
B.
The shovel lifted
C. The gravity pushing down on
the snow
D. The hands on the shovel
Answer:
the answer is B The shovel lifted
hope it helps!
If you push a block of wood under the water if a force on your hand. explain.
Answer:
The buoyant force pushing up is greater than the force of gravity pushing down, and you feel the unbalanced force pushing on your hand.
Explanation:
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Answer:
The buoyant force pushing up is greater than the force of gravity pushing down, and you feel the unbalanced force pushing on your hand.
Explanation:
Hope this help
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Have a nice day!!!!
Calculate the force of gravity between two planets with masses 5 x 1023 kg and 1 x 1022 kg when the distance
between them is 7 x 1016 m. Do not use scientific notation. Round to one decimal.
Answer:
68.1N
Explanation:
Check attachment
I hope this was helpful, Please mark as brainliest
The weather is warm and dry.
Which change would a cold front bring?
Answer:
rain or thunder
Explanation:
Explain why a law is accepted as fact, but a theory is not
In scientific discourse, a law is generally considered a descriptive generalization about how some aspect of the natural world behaves under stated circumstances. A theory, on the other hand, is a well-substantiated explanation of some aspect of the natural world that incorporates facts, laws, inferences, and tested hypotheses. The principal difference is that a law describes what happens and a theory explains why it happens.
Laws are accepted as fact because they are simple, true statements about how things occur in nature, usually summed up in a mathematical formula. They are typically based on empirical evidence from observations and experiments. For example, the Law of Gravity describes the attraction between two objects but doesn’t explain the mechanism. Theories, however, go through rigorous testing and are only sustained after consistent empirical support. They aim to provide the most reasonable explanation based on the evidence at hand. Consider the Theory of Evolution by Natural Selection - it explains the mechanisms behind the changes in species over time. Unlike a law, a theory can be adjusted or discarded if new evidence presents itself that doesn't align with the current theory. This flexibility is why theories, despite being well-supported, are not accepted as unchanging facts, but rather as the best explanations we have based on current knowledge.
Which statement is the best interpretation of the ray diagram shown below?
A) A concave mirror forming a larger, virtual image
Explanation:
The figure is missing; see attachment.
There are two types of mirror:
Concave (converging) mirrors: a concave mirror is a mirror that reflects the light inwardConvex (diverging) mirrors: a convex mirror is a mirror that reflects the light outwardThe image formed by a mirror can also be of two types:
Real image: it is formed on the same side of the object, with respect to the mirrorVirtual image: it is formed on the opposite side of the object, with respect to the mirrorIn the figure of this problem (see attachment), we see that:
- The mirror reflects the light from the object inward --> so it is a concave mirror
- The image is formed on the other side of the mirror --> it is a virtual image
So the correct option is
A) A concave mirror forming a larger, virtual image
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What is the cost of using an electric iron rated 340v,1000w for 24hrs. If electric energy costs 3000tsh per unit?(1unit=1kwh)
Total cost of electric iron used for 24 hrs is 72000 tsh.
Explanation:
Given
Voltage, V = 340 V
Power, P = 1000 W = 1 kW
Time, T = 24 hrs
Cost per unit = 3000 tsh /unit
Total cost, T = ?
We know,
The cost is calculated in kWh
Therefore,
Total Power consumed = 1 kW X 24 hrs
Total Power consumed = 24 kWh
Total cost = total power X cost per unit
Total cost = 24 kWh X 3000 tsh/unit
Total cost = 72000 tsh
Therefore, total cost of electric iron used for 24 hrs is 72000 tsh.
Complete.
For a positive point charge, the lines radiate ………. . While, for a negative point charge, the lines converge …………. .
Answer:
For a positive point charge, the lines radiate outward. While, for a negative point charge, the lines converge inward.
Explanation:
The electric field produced by a single point charge has a radial shape and follows an inverse square law. The magnitude is given by
[tex]E=k\frac{q}{r^2}[/tex]
where
k is the Coulomb's constant
q is the magnitude of the charge
r is the distance from the charge
The direction of the field depends on the sign of the charge. In particular, we have:
For a positive charge, the direction of the field is out of the chargeFOr a negative charge, the direction of the field is towards the chargeThis is due to the fact that the direction of the field shows the direction of the force that a positive test charge would experience in this field. Therefore, since a positive test charge would feel a repulsive force in the field produced by a positive charge, then the direction of the field is outward; on the other hand, a positive test charge would feel an attractive force in the field produced by a positive charge, therefore the direction of the field is inward.
A 10,844.0 kg truck is initially at rest. The truck then accelerates across a level road and reaches a constant speed. It takes the truck 25.4 seconds to reach its final speed. At this speed, the truck has 41,505.4 joules of kinetic energy. How much power did the truck require to accelerate the truck in this time? Round your answer to the tenths place.
Answer:
1,634.1 W
Explanation:
Power = work / time
P = 41,505.4 J / 25.4 s
P = 1,634.1 W
A shallow slope on a phase-change graph indicates _____.
A. a little temperature increase for a lot of heat
B. a phase change
C. a large change in kinetic energy of the molecules
D. a high latent heat
A shallow slope on a phase-change graph indicates - A. a little temperature increase for a lot of heat.
To understand this, let's break down the concepts involved:
Latent Heat: When a substance undergoes a phase change (like melting or boiling), it absorbs or releases heat without changing temperature. This heat is known as latent heat.
Phase Changes: During a phase change, such as ice melting into water, the temperature of the ice remains at 0°C until it has completely melted. Only after the phase change is complete does the temperature of the water begin to increase.
Shallow Slope on Graph: In a graphical representation, the shallow slope during a phase change signifies that while a large amount of heat is added, the temperature remains constant until the phase change is completed. This reinforces the idea that energy is being used to break molecular bonds rather than increasing kinetic energy.
Estimate how much farther a person can jump on the Moon as compared to Earth if the take off
speed and angle are the same? The acceleration due to gravity on the moon is one-sixth what it
is on Earth.
Explanation:
Let us assume , an Object is thrown with initial Velocity u m/s and angle of θ above the horizontal level. The horizontal and vertical velocities are (x,y)
vₓ = v₀cos θ
[tex]v_{y}[/tex] = v₀ sinθ
now, the time when the object reaches the maximum height can be calculated from
[tex]v_{y}[/tex] = v₀ sinθ - at₀ = 0
t₀ = v₀ sinθ/a
thus, the total time in air is two times higher ; t = 2t₀ = 2 (v₀ sinθ) /a
the maximum distance can be calculated from this equation
X = vₓ t= v₀ cos θ x 2 (v₀ sinθ) /a
it implies x is inversely proportional to a.
we know the acceleration on the Moon is 1/6 th of Earth.the ratio between between maximal distance on the moon and on the earth is 6.
Find the sum of the vectors:10km west.5 km south
Answer:
11.2km
Explanation:
Using Pythagoras theorem
R² = 10² + 5²
R² = 100 + 25
R² = 125
R = √125
R = 11.2km
The sum of the vectors 10 km west and 5 km south results in a resultant vector with a magnitude of 11.18 km and a direction of 26.57 degrees south of west, calculated using vector addition and trigonometric functions.
To find the sum of the vectors mentioned in the question, we need to apply the principles of vector addition. The first vector is given as 10 km west, which we can represent as (-10, 0) in Cartesian coordinates assuming the west is the negative x-direction. Similarly, the second vector is 5 km south, which we can represent as (0, -5) since south is the negative y-direction.
The sum of the vectors is found by adding their respective components. Hence, we add the x-components and the y-components separately:
x-component: -10 km (west) + 0 km (south's x-component) = -10 kmy-component: 0 km (west's y-component) + (-5) km (south) = -5 kmTherefore, the resultant vector from the sum of these two vectors is (-10 km, -5 km). To find the magnitude and direction of this resultant vector, we use the Pythagorean theorem and trigonometry. The magnitude (R) of the resultant vector is given by:
R = √((-10 km)² + (-5 km)²) = √(100 km² + 25 km²) = √(125 km²) = 11.18 km
The direction is found by calculating the angle to the negative x-axis (west) using the arctan function: θ = arctan(|y-component|/|x-component|) = arctan(5/10) = 26.57 degrees south of west.
The distance from the start point to the destination is 11.18 km, and the direction is 26.57 degrees south of west.
While in flight, a hot air balloon decreases its elevation by 83 meters and then increases its elevation by 83.7 meters,
Enter an inequality in the ber to compare the changes in elevation of the hot air balloon while in flight. this is math that i dont get pls help
Explanation:
Let the initial height of the balloon is L .
The lower level is L - 83 , because it goes 83 m downwards
The upper limit is L + 83.7 , because it goes up by 83.7 m
Thus the inequality becomes
L-83 ≤ L ≤ L + 83.7
E14. A ball rolls off a table with a horizontal velocity of 5 m/s. If
it takes 0.6 seconds for it to reach the floor,
a. What is the vertical component of the ball's velocity just
before it hits the floor? (Use g = 10 m/s2.)
b. What is the horizontal component of the ball's velocity
just before it hits the floor?
a) To get the vertical component of the ball's velocity just before it hits the floor, we will use the equation of motion expressed as:
[tex]v_y = u + gt[/tex]
where:
u is the initial velocity
g is the acceleration due to gravity
t is the time taken
Given the following:
u = 0m/sg = 10m/s²t = 0.6secsSubstitute into the formula as shown:
[tex]v_y=0+10(0.6)\\v_y=6.0m/s[/tex]
Hence the vertical component of the ball's velocity just before it hits the floor is 6.0m/s
b) Since the ball rolls off a table with a horizontal velocity of 5 m/s, hence the horizontal component of the ball's velocity just before it hits the floor
is 5m/s
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The vertical component of the ball's velocity just before it hits the floor is 6 m/s and the horizontal component of the ball's velocity just before it hits the floor is 5 m/s.
Explanation:a. The vertical component of the ball's velocity just before it hits the floor can be calculated using the formula v = gt, where g is the acceleration due to gravity and t is the time. Therefore, v = 10 m/s2 x 0.6 s = 6 m/s.
b. The horizontal component of the ball's velocity just before it hits the floor remains the same as the original horizontal velocity, which is 5 m/s. This is because in the absence of air resistance, there are no horizontal forces acting on the ball after it leaves the table, so its horizontal velocity remains constant.
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What do the lines making a circle around the low-pressure area indicate?
areas of equal altitude
areas of equal pressure
a stationary front
an occluded front
Answer:
Areas of equal pressure.
Explanation:
The line making a circle means equal pressure.
Final answer:
The lines around a low-pressure area on a weather map are isobars, indicating areas of equal pressure crucial for predicting weather conditions.
Explanation:
The lines making a circle around the low-pressure area indicate areas of equal pressure, also known as isobars. These isobars connect places with the same atmospheric pressure measurements, typically in millibars. On a weather map, isobars form almost circular shapes around low-pressure centers, like cyclones, and indicate areas where the pressure decreases towards the center.
Understanding these pressure patterns is essential for meteorologists to describe and predict weather, as they directly affect weather conditions. For instance, the approach of a low-pressure system often brings cloudiness, winds, and precipitation.
What does the standard deviation of a set of data tell you?
O
A. The number of experiments that were performed
O
B. How many data points there are in the set
O
C. The largest and smallest data values of the set
O
D. How much each data point differs, on average, from the mean
value of the set
SUBMIT
Answer:D
Explanation:
The standard deviation of a set of data tell you how much each data point differs, on average, from the mean value of the set. The correct option is D.
What is standard deviation?A standard deviation is a measure of how far apart the data is from the mean. A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation indicates that data is more spread out.
When data is distributed, standard deviation is important because it aids in understanding the measurements. The higher the standard deviation, the more evenly distributed the data is.
To summarize continuous data, the standard deviation is used in conjunction with the mean.
Furthermore, like the mean, the standard deviation is normally only appropriate when the continuous data is not significantly skewed or has outliers.
Thus, the correct option is D.
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The purpose of conducting wires in a circuit is to _____.
Answer:to transfer electric current from one point to another
Explanation:
To transfer electric current from one point to another
Answer:
To conduct electricity.
Explanation:
The purpose of conducting wires in a circuit is to conduct electricity. The wire conducts electricity by allowing current flow through it from one point to another in the circuit .
A skier is skiing down a slope on the mountain.
Is the mechanical energy conserved? Why or why not?
The mechanical energy isn't conserved. Some energy is lost to gravity.
The mechanical energy isn't conserved. Some energy is lost to friction.
Mechanical energy is always conserved.
The mechanical energy is conserved. There is as much KE at the end as there was PE at the beginning.
The mechanical energy isn't conserved. Some energy is lost to friction.
Option A.
Explanation:The mechanical energy is defined as the energy of a body which it achieves by virtue of its position and velocity. The mechanical energy are of two types - potential energy and kinetic energy. The potential energy is the energy of the body which it achieves by means of its relative position and is directly proportional to the height of the body from its relative plane. Whereas the kinetic energy of the body is achieved by virtue of its velocity and is directly proportional to the square of velocity of the body.
As the mountaineer is skiing down the slope of a mountain, the potential energy of the person is gradually changing into his kinetic energy. Had it been in an ideal situation, the potential energy lost would have been just equal to the kinetic energy gained by the person. But there's friction which opposes the speed of the body and reduces the velocity. Thus the kinetic energy will be lost to some extent and the energy won't be conserved.
the correct answer is B) The mechanical energy isn't conserved. Some energy is lost to friction.
Which of the following is most closely related to the unit of time that humans call the month?
A.
the rotation of the Earth once on its axis
B.
the cycle of the Moon through all its phases
C.
the rotation of the Sun once on its axis
D.
the revolution of the Earth once around the Sun
Never mind found the answer
Answer:
the rotation of the earth once on its axis
Why are airbags, helmets, and other safety devices important? Physics
Answer:to prevent serious damage when an accident occur
Explanation:to prevent serious damage when accident occur
Airbags and other safety devices are important as they use the physics concept of impulse to reduce the force on an individual by increasing the impact duration during collisions, thereby reducing the likelihood of injuries or fatalities.
Airbags, helmets, and other safety devices are crucial because they employ the concept of impulse from physics, which helps in reducing the force felt by individuals during collisions. Impulse is defined as the net force multiplied by the time duration over which it acts ([tex]F_{net}[/tex] Δt). When a vehicle is involved in an accident, safety devices such as airbags extend the time over which a person's momentum is brought to a stop. Consequently, the force exerted on their body is significantly reduced, minimizing the risk of severe injuries or fatalities. The concept is that by increasing the time Δt, while the momentum change Δp remains constant, the net force [tex]F_{net}[/tex] is decreased, which illustrates an inverse relationship between force and time during impact. This principle not only applies to airbags, which allow for a more gradual deceleration and less forceful impact but to other vehicle safety aspects, such as crumple zones that extend the collision time, hence reducing the force and potential injury.
Baseball players wear batting gloves to increase
Answer:
They are worn because they help increase the quality of the grip on the bat.
Explanation:
the chances of cathcing the ball
100 ml of water is initially at 20°C. 30,000 J of heat is added to the water. What is temperature change for the water?
Answer:
Therefore the new temperature of the water is 91.67°C
Explanation:
Specific heat of water = 4.186 joule /gram °C
The equation to calculate change of temperature
Q=s×m×ΔT
Q = the amount of heat = 30,000 J
s= Specific heat of water = 4.186 joule /gram °C
m = mass of the water = volume ×density=(100×1)gram =100 gram
ΔT = the change of temperature = (T-20)
Therefore,
30000= 4.186×100×(T-20)
⇔(T-20)= 71.67
⇔T = 71.67+20
⇔T = 91.67
Therefore the new temperature of the water is 91.67°C
what are 3 types of potential energy?
Answer:
Three types of potential energy include: Elastic potential energy, which is the energy stored in something when you push, pull, or force it out of shape: think of rubber bands or springs. Chemical potential energy, which is the energy something stores because of its chemical makeup: batteries have this kind of energy.
Explanation:
Potential energy, kinetic energy, and gravitational potential energy are three types of potential energy.
Explanation:Energy is the capacity to do work or create change. It exists in various forms, including kinetic (movement), potential (stored), thermal (heat), electrical, and chemical energy. Energy is a fundamental concept in physics and is vital for all processes in the universe, from powering machines to sustaining life and ecosystems.
Potential energy, kinetic energy, and gravitational potential energy are three types of potential energy. Potential energy is the energy an object has due to its position or condition, while kinetic energy is the energy an object possesses due to its motion. Gravitational potential energy is a specific type of potential energy that an object has due to its position relative to the Earth's surface.
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An example of a metalloid, elements with properties between metals and non-metals, is:
A. silicon
B. iron
C. oxygen
D. copper
Answer: A
Explanation: The answer is silicon
Answer: silicon
Explanation:
what might be happening since 1880 for average global temperatures to increase
Answer:
The average global temperatures has increased since 1880 due to the emission of toxic gases in the atmosphere.
Explanation:
In average the global temperature of the earth has increased by 1 degree Celsius (2 degrees Fahrenheit). It includes the combined land and ocean's temperature.The main reason for this increase in global temperature is the emission of gases like carbon dioxide, CFC's and other greenhouse gases.Human activities, industrialization, modernization etc. are majorly responsible for this increment in temperature through the centuries.what would the velocity of a bullet that strikes a tin can 350 meters away in 0.25 seconds
Answer:
87.5 m/s
Explanation:
350m * 0.25s = 87.5 m/s
A piece of cork has a volume of 10 cm cube. find the net force on the cork if it is completely submerged and then released.
(density of cork=200kg/m^3)
Answer:
Explanation:
The force required to submerge something underwater can be found from Archimedes principle:
FB=pwVg
Where FB is the buoyant force, pw is the density of water (1g/ml), V is volume of the water displaced, and g is gravity. The key here is V. The volume of water displaced by the cork is equal to the volume of cork. Therefore, the required force is
F=1 g/cm³ x 10 cm³ x 9.8 m/s²= 98 N