1. The rank of the vector combinations on the basis of their magnitude
a+b = a +d > a+c > f +c = d > a + e.
2. The rank of the vector combinations on the basis of their magnitude
a+d = a +b > a+c > f +c =d > a+e.
What is vector quantity?Any physical quantity having both magnitude and direction is called vector quantity.
According to figure:
a = 2 unit b = 2 unit c = 1 unit d = 2 unit e = 1 unit and f = √5 unit.
a + c = 2+1 unit = 3 unit
a + b = 2√2 unit
a + e = 2 -1 = 1 unit
a +d = 2√2 unit
f+ c = 2 unit
a+d = 2√2 unit
f+c = 2 unit
a+b = 2√2 unit
a+e = 1 unit
a+c = 3 unit
Hence, rank of the vector combinations on the basis of their magnitude
a+b = a +d > a+c > f +c = d > a + e.
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What are the magnitude and direction of the current in the 20 Ω resistor in (Figure 1)?
Express your answer with the appropriate units. Enter positive value if the current is clockwise and negative value if the current is counterclockwise.
To solve this we must be knowing each and every concept related to net current. Therefore, the circuit's overall net current is 0.1 A, flowing clockwise.
What is the net current?The term "net current" refers to the total currents after taking current direction into account. If a node sends 1 mA inside and 5 mA out, the total current equals 4 mA out.
The sum of all entering currents must match the sum of all exiting currents, according to KCL. According to Ohm's Law, the current flowing is equivalent to the combined voltage dividing by the entire resistance. In contrast to a series circuit, where the total current is the same across all of the components, the total current inside a parallel connection is really only equal to the particular current in that part of the circuit.
Net current
i = V / Ri
= (9 - 6) / (10 + 20)i
= 0.1 A
in clockwise way
Therefore, the circuit's overall net current is 0.1 A, flowing clockwise.
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The Astronomical Unit (AU) as defined by astronomers is
Answer:
a unit of length effectively equal to the average, or mean, distance between Earth and the Sun
Explanation:
a three tiered birthday cake rests on a table. From the bottom to the top, the cake tiers weigh 15 N, 8N, and 6N, respectively. What is the magnitude and direction of the normal force acting on the base of the seconf tier
The normal force on the second tier of the cake is 14N. It is the sum of the weight of the last and the second tier of the cake.
What is Normal force?The normal force is the force which the surfaces exert to prevent solid objects from passing through each other. Normal force is a contact force. If two objects or surfaces are not in contact, they cannot exert a normal force on each other.
Fₙ = mg
Fₙ = Normal force
Fₙ on the second tier is the sum of the first and second tier of the cake is:
Fₙ = 8N + 6N
Fₙ = 14N
The normal force on the second tier is 14N.
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Heat Transfer 12 Directions: Drag the arrows to the correct locations on the image. directions in which heat flows. The diagram below shows three solid objects. Two of the objects are hot and one is cold. If heat is transferred between these objects via conduction, use the arrows to indicate the direction.
That's the question and please someone help me I can't figure this out because of how much I've been absent throughout this lesson
If heat is transferred between these objects via conduction, both arrows will point towards the cold.
Heat energy is transferred through the mechanism of conduction when nearby atoms or molecules collide. In solids and liquids, where particles are more closely spaced, conduction happens more easily than in gases, where particles are more widely spaced. Heat transfers through solid materials via conduction. The roof, walls, and windows of your house all carry heat on hot days.
The act of heating a skillet on a stovetop is a typical illustration of conduction. The surface of the pan receives heat directly from the burner. The amount of kinetic energy that the particles in a sample of matter have converted to heat is measured by temperature. Conduction mostly comes in two flavors. Steady-state conduction is what they are. temporary conduction.
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What are the horizontal and vertical components of a cat's displacement when the cat has climbed 5 m
directly up a tree © = 90°? Sin90=1
cos90=0
The horizontal component of the cat's displacement, Dx = 0 m
The vertical component of the cat's displacement, Dy = 12 m
What are the horizontal and vertical components of a vector?The horizontal component of a vector is the value of that vector acting in the horizontal direction.
The horizontal component of a vector is given as Dx.
Dx = Dcosθ
where;
D is the resultant of the vector
θ is the angle of the vector from the horizontal
The horizontal component of the cat's displacement is:
Dx = 12 * 0
Dx = 0 m
The vertical component of a vector is the value of that vector acting in the vertical direction.
The vertical component of a vector is given as Dy.
Dy = Dsinθ
where;
D is the resultant of the vector
θ is the angle of the vector from the horizontal
The vertical component of the cat's displacement is:
Dy = 12 * 1
Dy = 12 m
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H
Question 12 of 15:
Select the best answer for the question.
12. A 150-lb block of ice has a temperature of 22 F. How much heat will the ice absorb before it begins to melt?
O A. 1500.0 Btu
O B. 1663.2 Btu
C. 756.0 Btu
OD. 2419.2 Btu
Answer:
I think it is A
Explanation:
It is A because if you calculate the weight minus the F, then you have to divide that by the amount of absorbation (the lb) before timsing it by 1000.
What will be the change in temperature if 600 g of water absorbs 5200 J of heat?
The change in temperature of the 600 g of water, given that the water aborbs 5200 J of heat energy is 2.07 °C
How do I determine the change in temperature of the water?First, we shall list out the given parameters from the question. This is given below:
Mass of water (M) = 600 gHeat absorbed (Q) = 5200 JChange in temperature (ΔT) = ?Calorimetry suggest the following formula:
Q = MCΔT
Where
Q is the heat transferred M is the mass C is the specific heat capacity ΔT is the change in temperatureUsing the above formula, the change in temperature of the water can be obtained as follow:
Note: Specific heat capacity of water (C) = 4.184 J/gºC
Q = MCΔT
5200 = 600 × 4.184 × ΔT
5200 = 2510.4 × ΔT
Divide both sides by 2510.4
ΔT = 5200 / 2510.4
ΔT = 2.07 °C
Thus, we can conclude from the above calculation, that the change in temperature of the water is 2.07 °C
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A single movable pulley is used to lift 4000N load to the height of 50 cm. If the efficiency of the pulley is 75%, Calculate effort distance,effort applied,output work and mechanical advantage.
Since the efficiency of the pulley is 75% and the single movable pulley is used to lift 4000N load to the height of 50 cm, the effort distance, effort applied, output work and mechanical advantage are as follows:
Effort Distance = 50 cm
Effort Applied = 5333.33 N
Output work = 2000 J
Mechanical Advantage = 0.75.
When a single movable pulley is used to lift a load, the effort applied is equal to the weight of the load being lifted, and the effort distance is the distance the effort is applied.
Load (output force) = 4000 N
Height lifted = 50 cm = 0.5 m
Efficiency of the pulley = 75%
Given the above information, we can calculate the effort applied, output work, and mechanical advantage as follows:
Effort applied (input force) = Load ÷ Efficiency
= 4000 N ÷ 0.75
= 5333.33 N
Output work = Load x Height lifted
= 4000 N x 0.5 m
= 2000 J
Effort distance = Height lifted
= 50 cm
Mechanical advantage = Load ÷ Effort applied
= 4000 N ÷ 5333.33 N
= 0.75
It is worth noting that pulley efficiency is the ratio of output work to the input work. And since the efficiency of the pulley is 75% so the input work is greater than the output work, which means some of the energy is wasted in overcoming friction and other losses.
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Two students push on a box in the same direction, and one student pushes in the opposite direction. What is the net force on the
box if each student pushes with a force of 50 N?
Net force on the box is 50 N if 2 students push it in the same direction with 50 N of force each and one student pushes it in the other direction with 50 N of force.
Define force.An object with mass experiences a pull or push, which changes its velocity. An agent with the ability to change a body's rest or moving condition is known as an external force. It has both magnitude as well as direction.
The force formula according to Newton is what?F = ma, meaning force is equal to the mass times acceleration, is the second of Newton's three laws of motion.
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Hi, can anyone help me with this question I have?
Assume a tornado is in the vicinity of your neighborhood. Which would
be the most useful information to determine your safety - speed or
velocity? Explain your answer.
Answer:
speed
Explanation:
you need to move fast so the tornado can't reach you
Your friend Christy has always been good at making schedules-she plans her days out to the minute and
loves helping others be more productive in this way too. Which career in astronomy might she be suited for?
Ground Control
CAPCOM
Flight Controller
Flight Director
She might be best suited for a profession as an astronomy flight controller. The target speed for every one of the 4 motors is determined by the flight controller using the information acquired by the sensors.
Why study astronomy?The goal of astronomy is to explain whatever we see within the universe, including the planets and comets inside our own solar system, far-off galaxies, and echoes of something like the Big Bang.
Is math required for astronomy?Math is constantly used by astronomers. When using a telescope to see celestial objects, one application of it is this. The camera that is mounted on the telescope essentially captures a series of numbers, which could represent the amount of light that various celestial objects emit.
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A 3.00kg mass is attached to an ideal spring with k=200N\m if the velocity of body at 0.25m Is 2.3m\s find the amplitude and maximum velocity
To solve this we must be knowing each and every concept related to velocity. Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.
What is velocity?V is the velocity measurement of an object's rate of motion and direction of motion. As a result, in order to calculate velocity using this definition, we must be familiar with both magnitude and direction.
For example, if an item travels west with 5 meters a second (m/s), its velocity to the west will be 5 m/s. The most frequent and simplest approach to determine velocity is using the formula shown below.
v = √(k / m) ×A
v = velocity of the mass
k= spring constant
m =mass of the object
A= amplitude of the oscillation.
substituting all the given values in the above equation, we get
2.3 m/s = √(200 N/m / 3.00 kg)×A
A = 2.3 m/s / √(200 N/m / 3.00 kg)
= 0.23 m
v =√(200 N/m / 3.00 kg) ×0.23 m
= 2.75 m/s
Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.
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Which of the following best illustrates an application of the principles of behaviorism?
A therapist is helping a client explore feelings about past events.
O A parent is using "time out" as a consequence for bad behavior.
O A friend is listening intently and showing concern for another.
O A mechanic is developing a mental map of the engines she routinely fixes.
The statement that best illustrates the application of the principles of behaviorism is -
"A parent is using "time out" as a consequence for bad behavior".
What is behaviorism?The theory that human and animal behaviour can be explained in terms of conditioning, without appeal to thoughts or feelings, and that some mental conditions are best treated by altering behaviour patterns.
Given are the applications of the principles of behaviorism.
The statement that best illustrates the application of the principles of behaviorism is -
"A parent is using "time out" as a consequence for bad behavior".
Therefore, the statement that best illustrates the application of the principles of behaviorism is -
"A parent is using "time out" as a consequence for bad behavior".
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A Ferris wheel, rotating initially at an angular speed of 0.16 rad/s, accelerates over a 8.0-s interval at a rate of 0.040 rad/s2. What is its angular speed after this 8.0-s interval?
Answer:
0.48 rad/s
Explanation:
We can use this equation to find the final velocity
[tex]w_f=w_0+at[/tex]
We are given
[tex]w_0=0.16[/tex]
[tex]t=8.0[/tex]
[tex]a=0.04[/tex]
Inserting those numbers into our equation gives us
[tex]w_f=0.16+0.04*8[/tex]
Lets solve for [tex]w_f[/tex].
[tex]w_f=0.16+0.32[/tex]
[tex]w_f=0.48[/tex]