Answer:
Fn=m(a + g) :
Explanation:
nf=a(m +g)
an=f(g+m)
if a=8i+j-2k and b=5i-3j+k what is the value of b X a
Distribute the product:
a×b = (8i + j - 2k) × (5i - 3j + k)
a×b = 8i × (5i - 3j + k) + j × (5i - 3j + k) - 2k × (5i - 3j + k)
a×b = (40 (i×i) - 24 (i×j) + 8 (i×k))
… … … + (5 (j×i) - 3 (j×j) + k×j)
… … … + (-10 (k×i) + 6 (k×j) - 2 (k×k))
Recall the definition of the cross product:
i×i = j×j = k×k = 0 (the zero vector)
i×j = k
j×k = i
k×i = j
and for any two vectors x and y, we have x×y = -(y×x).
So we have some cancellation and rewriting:
a×b = (40 (i×i) - 24 (i×j) + 8 (i×k))
… … … + (5 (j×i) - 3 (j×j) + j×k)
… … … + (-10 (k×i) + 6 (k×j) - 2 (k×k))
a×b = (-24k - 8j) + (-5k + i) + (-10j - 6i)
a×b = -5i - 18j - 29k
Then
b×a = -(a×b) = 5i + 18j + 29k
A spacecraft drifts through space at a constant velocity. Suddenly, a gas leak in the side of the spacecraft gives it a constant acceleration in a direction perpendicular to the initial velocity. The orientation of the spacecraft does not change, so the acceleration remains perpendicular to the original direction of the velocity. What is the shape of the path followed by the spacecraft in this situation
Answer: The path will be a parabola.
Explanation: The path is a parabola because the motion described is a projectile motion, in which an object thrown or projected is subjected only to the acceleration.
In this motion, velocity must be constant and horizontal and acceleration is perpendicular compared to the direction of the velocity. In these conditions, the path is a parabola and the motion is a projectile.
1) A spring, which has a spring constant k=7.50 N/m, has been stretched 0.40 m from ts equilibrium position . What the potential energy now tored in the spring ?
[tex]\displaystyle U_s = 0.6 \ J[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPhysics
Energy
Elastic Potential Energy: [tex]\displaystyle U_s = \frac{1}{2} k \triangle x^2[/tex]
U is energy (in J)k is spring constant (in N/m)Δx is displacement from equilibrium (in m)Explanation:Step 1: Define
k = 7.50 N/m
Δx = 0.40 m
Step 2: Find Potential Energy
Substitute in variables [Elastic Potential Energy]: [tex]\displaystyle U_s = \frac{1}{2} (7.50 \ N/m) (0.40 \ m)^2[/tex]Evaluate exponents: [tex]\displaystyle U_s = \frac{1}{2} (7.50 \ N/m) (0.16 \ m^2)[/tex]Multiply: [tex]\displaystyle U_s = (3.75 \ N/m) (0.16 \ m^2)[/tex]Multiply: [tex]\displaystyle U_s = 0.6 \ J[/tex]An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma=102 kgma=102 kg and the bag of tools has a mass of mb=10.0 kg.mb=10.0 kg. If the astronaut is moving away from the space station at vi=2.10 m/svi=2.10 m/s initially, what is the minimum final speed vb,fvb,f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever?
Answer:
The answer is "[tex]2.352 \ \frac{m}{s}[/tex]"
Explanation:
[tex]\to mass(m_1)=102 \ kg\\\\\to mass(m_2)=10 \ kg \\\\\to v=2.10\ \frac{m}{s}\\\\[/tex]
momentum before:
[tex]\to p=(m_1+m_2)v[/tex]
[tex]=(102+10)2.10\\\\=(102\times 2.10 +10 \times 2.10)\\\\=214.2+21\\\\=235.2[/tex]
momentum After:
[tex]\to p=(m_1+m_2)v[/tex]
[tex]=(102\times 0 +10 \times v)\\\\ =(0 +10v)\\\\=10v\\[/tex]
Calculating the conservation of momentum:
[tex]\to \text{momentum before = momentum After}[/tex]
[tex]\to 235.2=10v\\\\\to v= \frac{235.2}{10}\\\\ \to v=2.352 \ \frac{m}{s}[/tex]
If an apple experiences a constant net force, it will have a constant
Answer:
As Force = Mass × Acceleration. So If mass is constant, the acceleration would also be constant, in presence of a net external constant force!
1When you look through a magnifying glass, the objects you are looking at
seem larger and you can see them in morsetail. The lenses in a magnifying
glass are
convex lenses.
eyeglasses with convex lenses increase refraction, and accordingly reduce the focal lenght
g In principle, both the motion of a simple pendulum and the motion of a mass on a horizontal ideal spring can be used to measure time (via their periods of oscillation). But one of these two types of clocks loses it's accuracy (must be re-calibrated) when taken to high altitudes. Which type of clock is this, and why? Explain in detail please.
Answer:
In a system with a hanging mass and an inextensible wire, the force is proportional to the sino, in the case of small oscillations, approximately the stop angle, this hiss is lost, the calibration for large amplitudes is lost.
Explanation:
In a spring-mass system the restoring force created by the spring is proportional to displacement from the equilibrium position, therefore this watch does not require streamlining as the amplitude of movement increases.
In a system with a hanging mass and an inextensible wire, the force is proportional to the sino, in the case of small oscillations, approximately the stop angle, this hiss is lost, the calibration for large amplitudes is lost.
Which type of wave needs a medium to travel?
ANSWER: sound waves, because they travel by oscillating molecules
What do both sound and light waves transfer?
ANSWER: Energy
How does an increase in amplitude affect sound and light waves?
ANSWER: louder sound and brighter light
What happens to the wavelength and speed of the waves when the frequency increases?
ANSWER: The wavelength decreases, but speed remains the same.
Which statement about sound waves is correct?
ANSWER: The animated particles are more concentrated along wave crests and less dense along wave troughs.
Answer:
Mechanical Waves
Why I Know:
Science Class
A type of wave that needs a medium to travel is sound wave because it travels through oscillating molecules.
What is a sound wave?A sound wave can be defined as a form of mechanical wave that requires a medium for its propagation and it creates a disturbance in the medium. Also, the energy of a sound wave travels in a perpendicular direction.
This ultimately implies that, a sound wave needs a medium to travel and it creates a disturbance when it travels through any medium.
In conclusion, a type of wave that needs a medium to travel is sound wave because it travels through oscillating molecules.
Read more on sound wave here: https://brainly.com/question/19250621
(PLEASE) You go sledding down a hill and are traveling toward the east. At 0s, your velocity is 0m/s. At 5s, your velocity is 30m/s. Calculate your acceleration.
Answer:
your acceleration is 6 m/s²
Explanation:
Given;
initial velocity, u = 0
initial time, t₀ = 0
final velocity, v = 30 m/s
final time, t = 5 s
The acceleration of is calculated as follows;
[tex]a = \frac{v-u}{t_1-t_0} \\\\a = \frac{30-0}{5-0} \\\\a =\frac{30}{5} \\\\a = 6 \ m/s^2[/tex]
Therefore, your acceleration is 6 m/s²
A pendulum Bob released from some initial height such that the speed of the bob at the bottom of the swing is 1.9m/s. What is the initial height of the bob?
Answer:
h = 18.4 cm
Explanation:
Given that,
The speed of the bob at the bottom of the swing is 1.9m/s.
We need to find the initial height of the bob. Let it is h.
We can find it using the conservation of energy i.e.
[tex]mgh=\dfrac{1}{2}mv^2[/tex]
Where
v is speed of the bob
So,
[tex]h=\dfrac{v^2}{2g}\\\\h=\dfrac{(1.9)^2}{2\times 9.8}\\\\h= 0.184\ m[/tex]
or
h = 18.4 cm
So, the initial height of the bob is 18.4 cm.
The initial height of bob will be "18.4 cm".
Speed and height:Speed would be the scalar quantity that describes "how quickly an attribute moves." This could sometimes be defined as this same rate whereby an object travels a given distance.
According to the question,
The speed of the bob = 1.9 m/s
Let,
The initial height be "h".
By using the conservation of energy, we get
→ mgh = [tex]\frac{1}{2}[/tex]mv²
or,
→ h = [tex]\frac{v^2}{2g}[/tex]
By substituting the values, we get
= [tex]\frac{(1.9)^2}{2\times 9.8}[/tex]
= 0.184 m or,
= 18.4 cm
Thus the above answer is correct.
Find out more information about speed here:
https://brainly.com/question/13665920
how was newton's laws used to solve problems on apollo 13 ship
Explain in two full paragraphs
Answer:
actually ships are made in newtons third law of motion.it states to every action there is equal and opposite reaction. curved is made in downwards to maintain upthrust and to made balance.
actually it prevents ships from drowning and to move with a heavy mass.
I have a voltage source of 12V but a light that only burns at 5V. The lamp works on 18 mA. Calculate the resistance that you EXTRA have to include in this series connection.
Answer:
The resistance that will provide this potential drop is 388.89 ohms.
Explanation:
Given;
Voltage source, E = 12 V
Voltage rating of the lamp, V = 5 V
Current through the lamp, I = 18 mA
Extra voltage or potential drop = 12 V - 5 V = 7 V
The resistance that will provide this potential drop (7 V) is calculated as follows:
[tex]R = \frac{V}{I} = \frac{7 \ V}{18 \times 10^{-3} A} \ = 388.89 \ ohms[/tex]
Therefore, the resistance that will provide this potential drop is 388.89 ohms.
In a close system a gas with constant volume at 20C and pressure
1bar a heat is added to increase its temperature to 120C. Find the
new pressure
I
Answer:
6bar
Explanation:
According to pressure law;
P1/T1 = P2/T2
Given the following;
P1 = 1bar
T1 = 20oC
P2 = ?
T2 = 120oC
Substitute
1/20 = P2/120
20P2 = 120
P2 = 120/20
P2 = 6bar
Hence the new pressure will be 6bar
The magnetic circuit below is excited by a 100-turn coil wound over the central leg. The mean length of the central leg is 5.5cm; the mean length of outer paths (including the part of the iron bar at the bottom) is 15.5cm. The relative permeability of the magnetic material is 2000. The cross-sectional area of all legs is A
Answer:
Hello your question is incomplete attached below is the complete question and solution
answer;
attached below
Explanation:
Given data:
100-turn coil
mean length of central leg = 5.5 cm
mean length of outer paths = 15.5 cm
relative permeability = 2000
cross sectional area ( A ) = 1 cm^2
distance x = 1 cm
attached below is a detailed solution
The angle between A = (-25 m)i +(45 m), and the positive e axis is
Answer:
[tex]\theta=119.06^{\circ}[/tex]
Explanation:
The vector is :
A = -25i+45j
We need to find the angle between angle A and the positive x-axis. It can be calculated as follows :
[tex]\theta=180^{\circ}-\tan^{-1} (\dfrac{45}{25})\\\\=180-60.94\\\\=119.06^{\circ}[/tex]
So, the angle of vector A with the +x axis is [tex]119.06^{\circ}[/tex].
At the bottom of a mine shaft, the air
pressure is 138,000 Pa. How deep is
the mine?
(Unit = m)
1 atm = 101300 Pa
Pair = 1.29 kg/m3
Plz help
Answer:2900
Explanation:
I think
A copper wire of length L and cross-sectional area A has resistance R. A second copper wire at the same temperature has a length of 2L and a cross-sectional area of A. What is the resistance of the second copper wire?
A. 2R
B. 4R
C. R
D. 1/2 R
Answer: 4R
Explanation:R=pL/A
R second wire=p2L/1/2A
=4R
Suppose you have a cylinder filled with diatomic oxygen (O2) and it is running low. The cylinder is shown above, is made of steel, and has a fixed volume of 10 L.
You are asked to determine the number of O2 molecules that are left in the cylinder, so you take a measurement of the temperature to be 20℃. You then note that the pressure gauge reads 100 psi, which you checked at sea level in Bellingham, where the local pressure is one atm (14.7 psi). Calculate the number of O2 molecules left in the container.
Answer:
The number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.
Explanation:
The number of oxygen molecules can be found using the Ideal Gas law:
[tex] PV = nRT [/tex]
Where:
P: is the pressure = 100 psi
V: is the volume = 10 L
n: is the number of moles =?
T: is the temperature = 20 °C = 293 K
R: is the gas constant = 0.082 L*atm/(K*mol)
Hence, the number of moles is:
[tex]n = \frac{PV}{RT} = \frac{100 psi*\frac{1 atm}{14.7 psi}*10 L}{0.082 L*atm/(K*mol)*293 K} = 2.83 moles[/tex]
Now, the number of molecules can be found with Avogadro's number:
[tex]n_{m} = \frac{6.022 \cdot 10^{23}\: molecules}{1\: mol}*2.83 moles = 1.70 \cdot 10^{24} \: molecules[/tex]
Therefore, the number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.
I hope it helps you!
Describe how the boiling point of water on top of a mountain would be different from its boiling point at sea level.
Answer:
At elevated altitudes, any cooking that involves boiling or steaming generally requires compensation for lower temperatures because the boiling point of water is lower at higher altitudes due to the decreased atmospheric pressure.
Explanation:
Answer:
The Lower the air pressure the lower the boiling point.
1c. Using a metric (SI) measuring tape or ruler:
Measure the length L, width Wand height H of the shoebox shaped object and record
them in centimeters plus millimeters. Transform them to decimal format.
height H
Dimensions of shoebox shaped object measured with ruler
Format
length L
width W
In centimeters and
millimeters
28 cm and 6 mm 19 cm and 1 mm
In decimal
centimeters format
(show your work)
9 cm and 5 mm
Lo
Answer:
Format ______Length ______width ___ height
cm and mm _26cm 6mm _19cm 1mm_9cm 5mm
Decimal ____ 26.6cm _____ 19.1 cm __ 9.5cm
Explanation:
Dimension of shoebox shaped object :
Format ______Length ______width ___ height
cm and mm _26cm 6mm _19cm 1mm_9cm 5mm
Decimal ____ 26.6cm _____ 19.1 cm __ 9.5cm
Recall:
1mm = 0.1cm
For the length :
26cm + 6mm = 26cm+(6*0.1) = 26 + 0.6 = 26.6cm
Width:
19cm + 1mm = 19cm+(1*0.1) = 19 + 0.1 = 19.1cm
Height:
9cm + 5mm = 9cm+(5*0.1) = 9 + 0.5 = 9.5cm
Which factors affect the gravitational force between two objects?
-
distance and velocity
O mass and distance
O mass and weight
acceleration and weight
TELE
Answer:
mass and distance
Explanation:
mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
Could I get help on this question please . My parents won’t help me /:
Answer:
Tarzan will be moving at 7.4 m/s.
Explanation:
From the question given above, the following data were obtained:
Height (h) of cliff = 2.8 m
Initial velocity (u) = 0 m/s
Final velocity (v) =?
NOTE: Acceleration due to gravity (g) = 9.8 m/s²
Finally, we shall determine how fast (i.e final velocity) Tarzan will be moving at the bottom. This can be obtained as follow:
v² = u² + 2gh
v² = 0² + (2 × 9.8 × 2.8)
v² = 0 + 54.88
v² = 54.88
Take the square root of both side
v = √54.88
v = 7.4 m/s
Therefore, Tarzan will be moving at 7.4 m/s at the bottom.
Use the graph one more time to help you with this question. Changes in both the North and South occurred due to the .
Answer:
industrial revolution
Explanation:
3) What is the weight of an object with a mass of 5.2 kilograms?
Answer:
50.96 N
Explanation:
weight = mass x gravity
We know that gravity = 9.8 m/s^2 and mass = 5.2 kg.
w = m x g
w = 5.2 kg x 9.8 m/s^2
w = 50.96 N
The weight of the object is 50.96 N (newtons). Hope this helps, thank you !!
It is winter. You are very cold. Your body systems cooperate and respond to the cold in three ways in an effort to keep you warm. Choose the answer that is NOT correct.
Your nervous system slows down and the impulses that move your muscles also slows, helping to retain heat.
The body will try to generate heat itself by allowing muscles and organs to shake within the body: this is known as shivering.
Blood flow is diverted from muscle tissue to fat. The rapid decomposition fat (adipose) tissue generates heat energy that helps to raise the body's temperature.
Cold causes blood vessels to constrict and blood flow resistance to increase. Reducing blood flow to the skin and the extremities reduces heat transferred to the environment.
Answer:
The third option
Explanation:
A and B are true because this can be noticed by just any human. So then you are left with C and D. With these two, D makes more sense. Since when someone gets cold, their blood flow is reduced starting in areas like your fingers, hands, toes and feet. These areas get the coldest since they are the smallest and furthest away from the rest of your body. Also since these areas touch surfaces more than other areas, they will have less heat to transfer.
Blood flow is diverted from muscle tissue to fat. The rapid decomposition fat (adipose) tissue generates heat energy that helps to raise the body's temperature. - This answer is NOT correct.
What is nervous system?nervous system is a network of organized cells with the specific purpose of carrying electrochemical inputs from sensory receptors to the location where a response takes place.
Every living thing has the capacity to recognize changes in both its own surroundings and outside it. Changes in the internal environment include those in the position of the head and limbs as well as those in the internal organs, whereas changes in the exterior environment include those in light, temperature, sound, motion, and odor
.
Two different kinds of systems, physiologic and behavioral, control body temperature.
Learn more about nervous system here:
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when the body said to be in equilibrium
Answer:
Oh! I just learned abt this
Explanation:
the body is said to be in equilibrium if it is resting or moving with uniform velocity.
Answer: The body is said to be in balance if it is at rest or moving at a uniform speed. In other words, if the body's linear and angular acceleration is zero, the body is said to be in balance. 1
WILL GIVE BRAINLIEST
Lucas is carrying his rock collection into class. He carries 30 pounds of rare rocks 15 feet into Classroom 6. It takes him
3 minutes to get them into the classroom What is Lucas's speed and level of work? Be sure to show your work with
equations as part of your answer.
Answer:
10 and 5
Explanation:
Answer:
It is given that,
Force, F = 30 pounds = 133.4 N
Distance, d = 15 feet = 4.572 m
Time taken, t = 3 minutes = 180 seconds
Lucas's speed is given by the ratio of total displacement divided by total time taken. It is given by :
s = 0.0254 m/s
So, her speed is 0.0254 m/s.
Work done, W = F . d
W = 133.4 N × 4.572 m
W = 609.90 J
or
W = 610 J
Hence, this is the required solution.
James makes a treasure map to locate a secret item on McEachern Campus. He uses the
following displacement vectors to locate the treasure
A student wants to simplify this information
5 m East
7 m North
5 m South
7 m East
3 m South
2 m West
A. Determine the Displacement Vector Components. (x componenty component)
Show all work. 2 pts
B. Use the Pythagorean Theorem to calculate the resultant vector. Show all work. 2 pts
Answer format:
a. work & answer...
b. work and answer...
(4 Points)
Answer:
south
Explanation:
unit 2 Lesson 9: Temperature & Heat Unit Test does anyone have the answers
Explanation:
where is the question
I did not understood this question
Answers:
Here are the answers for the U2L9: Temperature & Heat Unit Test
1. Which describes how radiation moves?
B) Radiation moves from a warmer object to a cooler object
2. Which material most likely gets warmer when places in the Sun?
C) brown mulch
3. A thermogram of a house shows high amounts of thermal energy around the windows but not around the roof. Which conclusion is best supported by the thermogram?
C) The windows are not energy efficient, but the roof is.
4. Which best describes convection?
D) It is driven by temperature differences within a fluid.
5. A student heats a liquid on a burner. What happens to the portion of liquid that first begins to warm?
Any answer you choose is correct on Connexus (look at the screenshot)
6. Convection only occurs in ____.
B) fluids
7. Conduction involves the transfer of electric charge or ____.
A) thermal energy
8. A scientist designed a foam container to help keep frozen foods from melting. Which best explains how the foam works?
D) It reduces the amount of thermal energy that is transferred from the inside to the outside of the container.
9. The diagram shows movement of thermal energy. In which areas of the diagram does conduction occur? (look at the screenshot)
B) X and Z
10. Nuclear reactions in a reactor produce a lot of thermal energy. That energy then flows and warms up water, which boils and produces steam. The stream then turns turbines that generate electricity. Which statement below can be made about the production of electricity in a nuclear reactor?
B) Heat flows from the reactor to the water.
11. A stovetop burner on medium reaches 200° C. Which other objects will heat from the burner flow to?
Any answer you choose is correct on Connexus (look at the screenshot)
12. Heat transfer between two substances is affected by specific heat and the
D) amount of time and area of physical contact between the substances.
13. Which of these results in kinetic energy of an object?
B) motion
14. Carmen is heating some water and trying to measure the temperature of water using a Celsius thermometer. Which measurement can she expect once the water begins to boil?
B) 100° C
15. Which shows the formula for converting from degrees to Celsius to degrees Fahrenheit?
A) °F = (9/5 × °C) + 32
16. Which of these indicates that a liquid has transferred thermal energy to the air?
D) The liquid decreases in temperature, and its particles lose kinetic energy.
I took the test ALL of these answers are 100% correct on Connexus (they should be the same for everyone tho)
You're welcome and hope this helps!! :)
A long, thin metal tube of cross-sectional area 1.60 cm2 is sealed into the top of a hollow cube of edge length 0.150 m. Water fills the cube and extends upward a distance h into the tube. Find h if the water exerts a force of 1.00 103 N on the base of the cube. What is the weight of the water?
Answer:
Explanation:
Given that:
The area of the metal tube = 1.60 cm² = 1.60 × 10⁻⁴ m²
Length of cube L = 0.150 m
The exerted force by water = 1.00 × 10³ N
At the top of the cube;
The force on water is F = pgL
F = 9.8 m/s² × (1000 kg/m³) (0.150 m)(0.150 m)²
F = 33.075 N
∴
[tex]pgh = \dfrac{F}{A}[/tex]
[tex]h = \dfrac{F}{Apg}[/tex]
[tex]h = \dfrac{33.075}{(1.60 \times 10^{-4} \ m^2) \times (1000 \ kg/m^3)(9.8)}[/tex]
h = 21.09 m
The volume of the water V = L³
V = (0.150 m)³
V = 0.003375 m³
weight of the water w = p(V + Ah)
w = 1000 (0.003375 + (1.60 × 10⁻⁴ × 21.09))
w = 6.75 kg