If 18 wave cycles pass by in a medium in 6 seconds, what is the period of the wave? Which formula did you use?
Answer:
The period of the wave is 0.33 seconds. The formula used to calculate this is T=T/f, where T is the total time (6 seconds) and f is the frequency (18).
Calculate the volume of a parallelepiped with sides give as
a
=
(
7,2
,
4
)
,
b
=
(
4,7
,
6
)
and
c
=
(
3,4
,
7
)
Select one:
105
cubic units
125
cubic units
115
cubic units
135
cubic units
To calculate the volume of a parallelepiped given the sides, we can use the scalar triple product. The formula for the volume of a parallelepiped with sides a, b, and c is:
Volume = |a · (b × c)|
where · represents the dot product and × represents the cross product.
Using the given sides:
a = (7, 2, 4)
b = (4, 7, 6)
c = (3, 4, 7)
First, calculate the cross product of b and c:
b × c = (7*7 - 4*4, 6*3 - 7*7, 4*4 - 2*3)
= (49 - 16, 18 - 49, 16 - 6)
= (33, -31, 10)
Next, calculate the dot product of a and the cross product (b × c):
a · (b × c) = 7*33 + 2*(-31) + 4*10
= 231 - 62 + 40
= 209
Finally, take the absolute value of the result to obtain the volume:
Volume = |209| = 209 cubic units
Therefore, the correct answer is:
209 cubic units
In a DC generator, the generated emf is directly proportional to the
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
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Speed has what properties?
A) magnitude
B) direction
C) magnitude and direction
D)scalar and direction
Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude, and then spin rapidly at about 1100 rpm to spray the water off their bodies. When the dragonflies do this "spin-dry," they tuck themselves into a "ball" with a moment of inertia of 2.0×10−7kg⋅m2 . How much energy must the dragonfly generate to spin itself at this rate?
The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:
Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)
ω ≈ 115.28 rad/s
The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².
Use the formula for rotational kinetic energy:
Rotational Kinetic Energy (KE_rot) = (1/2) I ω²
Substituting the given values:
KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²
Calculate the value inside the parentheses:
KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)
KE_rot ≈ 1.331 × 10^-3 J
Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.
KE_rot ≈ 4.8 × 10^-4 J
Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
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50 POINTS
A velocity vs time graph is shown. What is the acceleration of the object?
Answer:
Explanation:
Given:
V₀ = 0 m/s
V = 20m/s
t = 5 s
___________
a - ?
The acceleration:
\(a = \frac{(V -V_{0} )}{t} \\\\\)
\(a=\frac{(20 - 0)}{5} = 4 \frac{m}{s^{2} } \\\)
I have multiple voltage sources of different rating like 5V,6V,1V and 20V draw schematic diagram using these sources to power a light of rating 11 volt
Answer:
add molecules
Tell me the max amount you should owe on this card.
Your credit limit is $1,000.
What is the max you should ever owe on this card?
$
Your credit limit is $2,500.
What is the max you should ever owe on this card?
$
Answer:
the max is 2,500 or less
Explanation:
because you cant owe anymore
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
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If in the figure below, the friction between the block and the incline is negligible, (a) how much must the object on the right weigh if the 200-N block is to remain at rest? Ans: 115 N (b) if the system remains at rest when F= 220 N. What are the magnitude and direction of the friction force on the 200-N block? Ans: 105 N down the incline 200 N Fw 35.0⁰
The magnitude of the acceleration and its direction however depends on the resultant force.
What is the resultant force?
In a system of forces, the resultant force is the force that has the same effect in magnitude and direction as all the forces acting together.
In an inclined plane, the friction, weight and applied force all act together on the object. The magnitude of the acceleration and its direction however depends on the resultant force.
This question is incomplete as the diagrams are missing hence the numerical values can not be computed.
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Which two terms is velocity the combination of?
gravity and direction
force and direction
speed and direction
speed and momentum
The term velocity is the combination of speed and direction.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. The generally considered unit for velocity is a meter per second. It depends on the magnitude as well as the direction of the moving body. The unit of velocity is meter/second. It can also be represented by the infinitesimal rate of change of displacement with respect to time.
If an object is moving eastwards, then its velocity is expressed as being eastwards. If an object is moving southwards, then its velocity is described as being southwards. So an airplane moving towards the north with a speed of 450 km/hr has a velocity of 450 km/hr northward.
Speed has no effect on direction as the speed of any object or body is a scalar quantity and the velocity at any given time is expressed with the magnitude of velocity as well as with the direction of motion of an object.
The term velocity is the combination of speed and direction. therefore the correct option is option C.
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Aluminum foil crunched between teeth with gold fillings (which one is negatively charged and which one is positively charged?)
Answer:
Aluminum foil is negatively charged and gold fillings are positively charged.
Hope this helps :)
Without looking at the numbers, does the graph above show a greater speed at 10 s or at 40 s?How can you tell?
We are given a graph of position vs time, and we are asked to determine which speed is greater at two different points. In this type of graph, the velocity is represented by the slope of the line of the graph. First, we need to determine which line corresponds to each of the required times. We need to determine which line corresponds to 10 seconds and which line corresponds to 40 seconds. We can do this by observing which line is above each time point, like this:
We notice that the slope of the line above the 10 seconds is larger than the slope of the line above the 40 seconds, therefore, the speed at 10 seconds is greater than the speed at 40 seconds.
A 10^3 kg load is placed on top of a lead bar of length 3.0 m. If the bar is compressed by 2.0
mm, calculate the cross-sectional area of the bar.
The cross-sectional area of the lead bar is \(9.188 \times 10^{-4} \ m^2\).
Young's modulus of lead barThe Young's modulus (E)of lead bar is given as 1.6 x 10¹⁰ Pa.
Cross-sectional area of the barThe cross-sectional area of the bar is calculated as follows;
\(E = \frac{stress}{strain} = \frac{F/A}{e/l} = \frac{Fl}{Ae} \\\\A = \frac{Fl}{Ee}\)
where;
A is cross-sectional areaF is applied force due to its weightE is Young's moduluse is compressionl is length\(A = \frac{(mg) l}{Ee} \\\\A = \frac{(10^3 \times 9.8) \times 3}{1.6 \times 10^{10} \times 2 \times 10^{-3}} \\\\A = 9.188 \times 10^{-4} \ m^2\)
Thus, the cross-sectional area of the lead bar is \(9.188 \times 10^{-4} \ m^2\).
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which geological features are produced when continental plates converge?
Answer:
Deep ocean trenches, volcanoes, island arcs, submarine mountain ranges, and fault lines.
Explanation:
In an oil drop experiment, a drop with a weight of 1.9 x 10-14 N was suspended when the potential difference between 2 plates that were 63 mm apart was 780 V. What was the charge on the drop?
Answer:
Study More You will get it :L
A cat of mass 5.5 kg was observed going from rest to sprinting at 20 m/s. How much work was required for this acceleration?
The amount of work required for the cat to accelerate from rest to sprinting at 20 m/s depends on the change in its kinetic energy. The work done is equal to the change in kinetic energy.
The work required for the cat to accelerate is 1100 Joules.
To calculate the work done, we need to determine the change in kinetic energy, which is given by the formula:
Change in Kinetic Energy = 1/2 * mass * (final velocity)^2 - 1/2 * mass * (initial velocity)^2
Given data:
Mass of the cat (m) = 5.5 kg
Initial velocity (u) = 0 m/s (rest)
Final velocity (v) = 20 m/s (sprinting)
Calculate the change in kinetic energy using the formula:
Change in Kinetic Energy = 1/2 * mass * (final velocity)^2 - 1/2 * mass * (initial velocity)^2
Plugging in the values:
Change in Kinetic Energy = 1/2 * 5.5 kg * (20 m/s)^2 - 1/2 * 5.5 kg * (0 m/s)^2
= 1/2 * 5.5 kg * (400 m^2/s^2)
= 1/2 * 5.5 kg * 400 J
= 5.5 kg * 200 J
= 1100 J
The work required for the cat to accelerate is equal to the change in kinetic energy, which is 1100 Joules.
Therefore, the work required for the cat to accelerate from rest to sprinting at 20 m/s is 1100 Joules.
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Principle 7: An object will continue to remain at rest or move at a constant speed and in a straight line
unless it is subjected to unbalanced forces.
1. List the supporting phenomena:
The supporting phenomena for Principle 7, also known as Newton's first law of motion or the law of inertia, include:
Inertia of an object: An object's tendency to resist changes in its motion. If an object is at rest, it will remain at rest unless acted upon by an unbalanced force. Similarly, if an object is moving at a constant speed in a straight line, it will continue to do so unless acted upon by an unbalanced force.
Conservation of momentum: If the net external force acting on a system is zero, the total momentum of the system remains constant. This implies that objects in motion will continue moving at a constant velocity in the absence of external forces.
Smooth and frictionless surfaces: When an object is placed on a smooth and frictionless surface, it can continue to move at a constant speed and in a straight line due to the absence of external forces such as friction or resistance.
Space travel: In outer space, where there is no significant gravitational or atmospheric resistance, objects can continue moving at a constant speed and in a straight line once set in motion, due to the absence of significant external forces.
Free-falling objects: In the absence of air resistance, objects falling freely near the surface of the Earth experience negligible external forces. As a result, they continue to accelerate downward at a constant rate (due to gravity) without any change in their direction until they encounter other forces like air resistance or contact with the ground.
These phenomena provide evidence and support for the principle that an object will remain at rest or move at a constant speed and in a straight line unless acted upon by unbalanced forces.
A car turns a certain curve of radius 24.98 m with constant linear speed of
15.67 m/s. If the centripetal force experienced by that car is 34.652 kN, what is the
mass of the car?
Answer:
3525.19 kg
Explanation:
The computation of the mass of the car is shown below:
As we know that
Fc = m × V^2 ÷ R
m = Fc × R ÷ V^2
Provided that:
Fc = 34.652 kN = 34652 N
R = Radius = 24.98 m
V = speed = 15.67 m/s
So,
m = 34652 × 24.98 ÷ 15.67^2
= 3525.19 kg
EARTH AND SPACE SCIENCE! PLEASE HELP! Question: Tree with unknown height has a shadow that is 4200 centimeters long while a meter stick has a shadow when held vertical that 325 centimeters long. Identify below, the height of the tree in centimeters. The height of the meter stick is 100 centimeters(cm).
Potential answers:
a.) 1292 cm
b.) 1520 cm
Therefore, the answer is (a) 1292 cm is stick has a shadow when held vertical.
What causes the shadow's location to change?Additionally, since light moves in a straight path from its source to an object, the shadow of the object moves with the light source.
Let's use h centimetres to represent the tree's height. We have the following percentage in the problem:
height of tree/length of its shadow = height of meter stick/length of its shadow
or
h / 4200 = 100 / 325
We can solve this proportion for h:
h = 4200 * 100 / 325 = 1292.31 cm
Rounding to the nearest centimeter, we get:
h ≈ 1292 cm
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Describe the change to the graph of Y= X +3 when Y=2X -3 is graphed 
Answer: a stretch of 2
Explanation: because it 2 (x) - 3
Light is a form of ........
Explanation:
Light is a form of energy that travels as waves.
Please help me
Explain why driver age 16-18 are most likely to be involved in traffic accidents
Answer:Lack of experience.
Explanation:
Research from the CDC points to a few key reasons teen drivers are likely to be involved in car accidents: Lack of experience. Teen drivers have triple the fatal crash risk of older drivers, in part because they do not have the skills to recognize and avoid road hazards.
Bx = -1.33 m and By = 2.81 m.
Find the direction of the vector.
Answer:
Explanation:
The vector in unit vector notation is:
B = (-1.33m)i + (2.81m)j
To find the direction relative to the x-axis. Do inverse tangent of opposite/adjacent
\(tan^-^1=|\frac{2.81}{1.33}| = 2.11\\180-2.11=177.89\)
This is relative to the positive x-axis
2.11 would be the correct answer if relative to the negative x axis
In which situation is the maximum possible work done? A. when the angle between the force and displacement is 0° B. when the angle between the force and displacement is 180° C. when the angle between the force and displacement is 45° D. when the angle between the force and displacement is 90°s the work done by the force on the box? A. 6.0 × 101 joules B. -6.0 × 101 joules C. 5.9 × 102 joules D. -5.9 × 102 joules
Answer:
C
Explanation:
Answer:
c
Explanation:
a piano dropped from a plane in the air. As it falls, upward force of air resistance gets greater as the piano picks up speed eventually, the resistance forces equal to the downward force of gravity. the piano now
Answer:
When the piano is dropped, the first force acting on it will be the gravitational force, that accelerates the piano at 9.8m/s^2 downwards.
As the piano accelerates, the velocity increases, now appears other force, the air resistance, that opposes to the motion of the piano.
As the velocity of the piano increases, also does the force that the air applies on the piano.
There is a point where the velocity of the piano is such that the air resistance is equal in magnitude, but in the opposite direction, to the force of gravity.
Then the net force on the piano is zero, which means that there is no acceleration, so the piano will keep falling down at constant velocity after this point.
A group of students were playing basketball together during recess. The temperature outside was 30.5 oC (87 oF) and the sun was out. The students ran, shot baskets, and dribbled the ball for 30 minutes. When they finished their game some of the students made the following comments:
Our muscles need more oxygen to make energy (in the form of ATP) while we workout.
When the respiratory rate picks up to fulfill this need, more oxygen can enter the body and more carbon dioxide can be exhaled.
Student 3 is breathing more forcefully than usual in this situation because of the high temperature and physical activity.
The respiratory system is the organ system engaged in this process.
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# complete question:
A group of students were playing basketball together during recess. The temperature outside was 30.5 oC (87 oF) and the sun was out. The students ran, shot baskets, and dribbled the ball for 30 minutes. When they finished their game some of the students made the following comments:
Student 1: Wow! I am so hot and sweaty! I need some water to cool down.
Student 2: My cheeks are really red.
Student 3: I am breathing so hard, I can barely catch my breath!
Explain what is happening to the students and how their bodies are trying to maintain homeostasis. Be sure to include any of the organ systems involved with each student.
In which type of mixture do the physically distinct component parts each have distinct properties?
Answer:
In heterogeneous mixture do the physically distinct component parts each have distinct properties.
The half-life of cesium-137 is 30 years. Suppose that we start with 60 grams of cesium-137 in a storage pool.
How many half-lives will it take for there to be 10 grams of cesium-137 in the storage pool? (Round answer to two decimal places.)
How many years is that? (Round answer to one decimal place.)
9514 1404 393
Answer:
2.58 half-lives77.5 yearsExplanation:
The remaining amount, in terms of t half-lives, is ...
q(t) = 60·(1/2)^t
We want t when q(t) = 10, so ...
10 = 60·(1/2)^t
1/6 = (1/2)^t . . . . . . divide by 60
log(1/6) = t·log(1/2) . . . . take logs
t = log(1/6)/log(1/2) = -0.778151/-0.30103 ≈ 2.58496
It will take about 2.58 half-lives for there to be 10 grams remaining.
In years, that is 2.58×30 = 77.5 years.
Julianna walks 10 meters East, 15 meters South and 20 meters North. What is her resultant displacement?
Julianna's resultant displacement when she walks 10 meters East, and 15 meters South and 20 meters North is 11.18m North-East.
What is displacement?displacement can be defined as distance in a specified direction.
To calculate the resultant displacement of the Julianna, we use the formula below.
Formula:
R = √[D²+(d-d')²]............ Equation 1Where:
R = Julianna's resultant displacementD = Julianna's First displacementd' =Julianna's Second displacementd = Julianna's Third displacementFrom the question,
Given:
D = 10 m Eastd = 20 m Northd' = 15 m SouthSubstitute these values into equation 1
R = √[10²+(20-15)²]R = √(100+5²)R = √125R = 11.18 m North-EastHence, Julianna's resultant displacement is 11.18 m North-East.
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