The unit vector to express a displacement of 120 km at 29° counterclockwise from x- axis is 104.9544kmi + 58.17715kmjl
Evaluating the vector :
A = Aχ × i + Aу × j
= 120km × cos (29) × i + 120km × sin (29) × j
let i, j be the unit ve cot s along x and y axis
Vector A = 104.9544kmi + 58.17715kmjl
How do you find the displacement of a unit vector?
The displacement vector d from P1 to P2 can be written as d = (x2 - x1)i + (y2 - y1)j. The displacement d is (x2-x1) units in the x direction and (y2-y1) units in the y direction.
Why are unit vectors used?These unit vectors are commonly used to indicate direction, and scalar coefficients indicate magnitude. A vector decomposition can be written as a sum of unit vectors and scalar coefficients.
Why are they called unit vectors?A unit vector is a vector whose magnitude is exactly one unit. They are very useful for many reasons. In particular, the unit vectors [0,1] and [1,0] can be taken together to form other vectors.
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If your mass is 63.7kg and standing 7.5m away from a boulder with a mass of 9750.6kg what is the gravitational force?
The gravitational force is determined as 7.37 x 10⁻⁷ N.
What the gravitational force?
The gravitational force is determined by applying Newton's law of universal gravitation.
Mathematically, the formula for the Newton's law of universal gravitation is given as;
Fg = ( Gm₁m₂ ) / ( r² )
where;
G is universal gravitation constantm₁ is your massm₂ is the mass of the boulderr is the distance between you and the boulderFg = ( 6.67 x 10⁻¹¹ x 63.7 x 9750.6 ) / ( 7.5² )
Fg = 7.37 x 10⁻⁷ N
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Question 2 of 25
Which three statements are true about the wave shown?
A. The wave is a longitudinal wave.
B. The wave could be an electromagnetic wave.
C. The wave could be a sound wave.
D. The wave is a mechanical wave.
Answer:
ACD
Explanation:
according to it's description above
The wave is a mechanical wave and can also be sound wave also the wave is a longitudinal wave. The correct option is A, C, and D.
What is mechanical wave?A mechanical wave is one whose energy cannot be transmitted via a vacuum. To transfer their energy from one place to another, mechanical waves need a medium.
A mechanical wave is something like a sound wave. A vacuum can not be traversed by sound waves.
Waves like mechanical waves require a medium to travel through. Non-mechanical waves are those that can travel through any medium.
Mechanical waves include, but are not limited to, sound waves, water waves, and seismic waves.
The three claims are accurate as follows: The wave is a longitudinal wave and can also be a mechanical wave or a sound wave.
Thus, the correct option is A, C, and D.
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Your question seems incomplete, the missing image is:
How can you tell whether an object is neutral
or charged? What would you have to do to test
that object?
Answer:
The number of electrons that surround the nucleus will determine whether or not it is electrically charged or electrically neutral
Explanation:
An object's mass has a greater influence on its kinetic energy than does its velocity. True or False?
Answer: I think false
Explanation:The velocity at which an object is sent moving and the mass of the object both play a hand in the level of kinetic energy that object produces. Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.
You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 5.00 s after it was thrown. What is the speed of the rock just before it reaches the water 22.0 m below the point where the rock left your hand? Ignore air resistance.
Answer:
Explanation:
for vertical movement , time to reach the top = time to reach the hand = 2.5 s
v = u - gt
At the top , v = 0 , time t = 2.5 s
0 = u - g x 2.5
u = 2.5 x 9.8 = 24.5 m /s
velocity of throw = 24.5 m /s
So , when it passes the hand on its way down , it will have velocity equal to 24.5 m /s and it will accelerate downwards . Let its velocity down by 22 m be v
v² = u² + 2 g s
= 24.5² + 2 x 9.8 x 22
= 600.25 + 431.2
= 1031.45
v = 32.11 m /s .
Magnus has reached the finals of a strength competition. In the first round, he has to pull a city bus as far as he can. One end of a rope is attached to the bus and the other is tied around Magnus's waist. If a force gauge placed halfway down the rope reads out a constant 2100 Newtons while Magnus pulls the bus a distance of 1.30 meters, how much work does the tension force do on Magnus
Answer:
Workdone = -2730 J
Explanation:
Formula for workdone is;
W = Force × Displacement
Now, according to Newton's 3rd law of motion, to every action, there is an equal and opposite reaction.
In the question given, we are told that a force gauge placed halfway down the rope reads out a constant 2100 Newtons while Magnus pulls the bus. This means that the force exerted by the rope on Magnus acts in an opposite direction to that which Magnus does to the rope.
Therefore, the force will be in the negative direction.
So;
Workdone = -2100 N × 1.3 m
Workdone = -2730 J
A 150.0 g baseball has a velocity of 28.5 m/s. What is its kinetic energy in J
Answer:
KE = 60.91875 J
Explanation:
First, convert the mass of the ball into kg, since we want the answer in J (SI system):
150 g = 0.15 kg
then use the kinetic energy formula
[tex]KE=\frac{1}{2} m*v^{2} \\KE=\frac{1}{2} (0.15)*(28.5)^{2}\\KE=60.91875 J[/tex]
In which direction does Earth’s gravitational force act?
a. opposite the direction of motion
b. downward toward the center of Earth
c. upward away from the center of Earth
d. in the direction of motion
1 What is a vector field?
2 How do you know that potential energy is converted into kinetic energy in certain force fields?
3 What is the rule on electric charges attracting or repelling?
Opposites attract, equals repel
4 How can atoms use electric charges to bond?
5 Where is the potential energy of a magnet stored?
6 How can you tell which pole is the north and which pole is the south in a magnet?
7 How can you increase the potential energy of a magnetic field?
8 If you have two charges alone in space, what will they do to each other?
9 What must occur in magnets to have it generate a magnetic field?
10 What is an electromagnet? A magnet that is made from metal and electrified and with a coil
Answer:
1. a vector field is an assignment of a vector to each point in a subset of space.
2. The direct answer is that it happens through Newton’s second law. If an object is in a potential field that is different at different points in space, then the object will experience a force in the direction in which the potential energy decreases. Newton’s second law says that a force causes a change in motion, which changes the kinetic energy.
3. According to Coulomb, the electric force for charges at rest has the following properties: Like charges repel each other; unlike charges attract. Thus, two negative charges repel one another, while a positive charge attracts a negative charge. The attraction or repulsion acts along the line between the two charges.
4. Ions are charged atoms that form when an atom donates or accepts one or more negatively charged electrons. Cations (ions with a positive charge) are attracted to anions (ions with a negative charge). This attraction is called an ionic bond.
5. Magnetic Field
Hope it Helps!!!!
A bicyclist accelerates from rest to a speed of
5.0 meters per second in 10 seconds. During the
same 10 seconds, a car accelerates from a speed
of 22 meters per second to a speed of 27 meters
per second. Compared to the acceleration of the
bicycle, the acceleration of the car is
Answer:
They have the same acceleration of 0.5m/s2 (please note m/s2 is the unit for acceleration and 2 is the power of s)
Explanation:
acceleration= velocity ÷ time
and the time is said to be 10seconds
velocity of car will be the new velocity- the initial velocity = 27-22= 5
acceleration= 5÷10
acceleration= 0.5
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4. What is the acceleration of the car in each section?
b
с
d
a
Answer:
0-4 acceleration comes at 12 m/s where (B) stagnates at 12 m/s and remains for 4 seconds (C) is breaks being activated slowing the car to 6 m/s in 2 seconds and (D) over the course of 4 seconds brings the car to 10 m/s.
Explanation:
The cylinder with piston locked in place is immersed in a mixture of ice and water and allowed to come to thermal equilibrium withthe mixture. The piston is then moved inward very slowly, that thegas is always in thermal equilibrium with the ice-water mixture,what happens to the following(increase, decrease, same)?
a. volume of gas
b. temperature of gas
c. internal energy of gas,
d. pressure of gas
Answer:
a. volume of gas: (decreases)
b. temperature of gas: (same)
c. internal energy of gas: (same)
d. pressure of gas: (increases)
Explanation:
We have a gas (let's suppose that is ideal) in a piston with a fixed volume V.
Then we put in a reservoir at 0°C (the mixture of water and ice)
remember that the state equation for an ideal gas is:
P*V = n*R*T
and:
U = c*n*R*T
where:
P = pressure
V = volume
n = number of mols
R = constant
c = constant
T = temperature.
Now, we have equilibrium at T = 0°C, then we can assume that T is also a constant.
Then in the equation:
P*V = n*R*T
all the terms in the left side are constants.
P*V = constant
And knowing that:
U = c*n*R*T
then:
n*R*T = U/c
We can replace it in the other equation to get:
P*V = U/c = constant.
Now, the piston is (slowly) moving inwards, then:
a) Volume of the gas: as the piston moves inwards, the volume where the gas can be is smaller, then the volume of the gas decreases.
b) temperature of the gas: we know that the gas is a thermal equilibrium with the mixture (this happens because we are in a slow process) then the temperature of the gas does not change.
c) Internal energy of the gas:
we have:
P*V = n*R*T = constant
and:
P*V = U/c = constant.
Then:
U = c*Constant
This means that the internal energy does not change.
d) Pressure of the gas:
Here we can use the relation:
P*V = constant
then:
P = (constant)/V
Now, if V decreases, the denominator in that equation will be smaller. We know that if we decrease the value of the denominator, the value of the quotient increases.
And the quotient is equal to P.
Then if the volume decreases, we will see that the pressure increases.
YALL PLEASE HELP I BARELY HAVE TIME
Which of the following is not a property of light?
Light travels in a straight line.
Light travels through empty space.
Light moves in a compressional wave.
All options are true
Answer:
All of then are true
I need brainliest so I can rank up
Explanation:
Answer:
I think all options are true is the right answer
Explanation:
Mark me the brainliest plzzz
Scientists have investigated how quickly hoverflies start beating their wings when dropped both in complete darkness and in a lighted environment. Starting from rest, the insects were dropped from the top of a 50 - cm tall box. In the light, those flies that began flying 200 m s after being dropped avoided hitting the bottom of the box 87 % of the time, while those in the dark avoided hitting only 25 % of the time.
Required:
a. How far would a fly have fallen in the 200 ms before it began to beat its wings?
b. How long would it take for a fly to hit the bottom if it never began to fly? In seconds.
Answer:
Explanation:
a )
Hoverfly will fall with acceleration equal to g .
Initial velocity of fall of hoverflies u = 0
displacement ( vertical ) h = ?
time t = 0.2 s
acceleration due to gravity g = 9.8 m / s²
h = ut + 1/2 g t²
= 0 + .5 x 9.8 x .2²
= .196 m
= 19.6 cm
b )
Time taken to fall by 50 cm or 0.5 m under free fall from initial position .
.5 = 0 + .5 x 9.8 t²
t² = .1020
t = .319 s = 319 ms .
The electric field 30cm from a van de Graaff generator is measured to be 28,300N/C. What is the charge of the van de Graaf?
Answer:
14
Explanation:
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how could you get the pancake to cook faster without burning it?
Answer:
put it in medium to full heat and set an alarm so that it doesn't burn
Answer:
when you're cooking your pancakes, use clarified butter and cook on medium heat.
a 2kg bowling bowl is at a top of the hill with a speed of 9.8 m/s with a height of 40m. what is its potential energy
To calculate potential energy, use the formula
[tex]ep \: = mgh[/tex]
Where m is mass in kg, g is gravitational field strength in m s^-2 and h is height in metres.
So in this case, calculate
2kg × 9.8m/s × 40m
and you should find your answer.
Honeybees accumulate charge as they fly, and they transfer charge to the flowers they visit. Honeybees are able to sense electric fields; tests show that they can detect a change in field as small as 0.77 N/C. Honeybees seem to use this sense to determine the charges on flowers in order to detect whether or not a flower has been recently visited, so they can plan their foraging accordingly. As a check on this idea, let's do a quick calculation using typical numbers for charges on flowers.If a bee is at a distance of 24 cm, can it detect the difference between flowers that have a +30 pC charge and a +40 pC charge?
Answer:
difference between the field = 1.56 N/C
as; 1.56 N/C is greater than 0.77 N/C;
Hence, Honeybees can detected the difference
Explanation:
Given the data in the question;
distance r = 24 cm = 0.24 m
charge 1 Q1 = +30 pC = 30×10⁻¹² C
charge 2 Q2 = +40 pC = 40×10⁻¹² C
Now, electric field due to +30 pC charge
E1 = kQ1/r²
where coulomb constant k is 9 × 10⁹ N.m²/C²
so we substitute
E1 = [( 9 × 10⁹ ) × (30×10⁻¹²)] / (0.24)²
E1 = 0.27 / 0.0576
E1 = 4.69 N/C
electric field due to +40 pC charge
E2 = kQ1/r²
E2 = [( 9 × 10⁹ ) × (40×10⁻¹²)] / (0.24)²
E2 = [( 9 × 10⁹ ) × (40×10⁻¹²)] / (0.24)²
E2 = 0.36 / 0.0576
E2 = 6.25 N/C
Now,
E2 = E1 = 6.25 N/C - 4.69 N/C = 1.56 N/C
difference between the field = 1.56 N/C
as; 1.56 N/C is greater than 0.77 N/C;
Hence, Honeybees can detected the difference
The power lines are at a high potential relative to the ground, so there is an electric field between the power lines and the ground. To maximize the potential difference between one end of the fluorescent tube and the other, how should the tube be held? Select the best answer from the choices provided. View Available Hint(s) Select the best answer from the choices provided. The potential difference between the ends of the tube does not depend on the tube's orientation. The tube should be held horizontally, parallel to the ground. The tube should be held vertically, perpendicular to the ground.
Answer:
The tube should be held vertically and perpendicular to the ground.
Explanation:
Answer: The tube should be held vertically and perpendicular to the ground. The reason is as follows:
Reasoning:
The power lines are parallel to the ground hence, their electric field will be perpendicular to the ground and equipotential surface will be cylindrical.
Hence, if you will put fluorescent tube parallel to the ground then both the ends of the tube will lie on the same equipotential surface and the potential difference will be zero.
So, to maximize the potential the ends of the tube must be on different equipotential surfaces. The surface which is near to the power line has high potential value and the surface which is farther from the line has lower potential value.
hence, to maximize the potential difference, the tube must be placed perpendicular to the ground.
Sketch the resultant field pattern around the following current carrying conductors and
show the direction of the forces acting on the conductor.
What is the measure of minor arc AB?
To increase the gravitational force between the two objects above, I could
Your answer:
A. increase the mass of the objects and decrease the distance between the objects.
B. increase BOTH the distance and the mass between the two objects
C. decrease the mass of the objects and increase the distance between the objects.
D. decrease BOTH the mass and distance between the two objects.
Answer:
Option A
Explanation:
Jack weighs 170 lbs and is 72 inches tall. He is pulling horizontally on a door handle situated at his shoulder height. Actually, it is his body weight and lean that creates this pulling action (a hint). His center of mass while standing erect is 61 percent of his body height, measured from the floor upwards. The door handle is 60 inches above the ground, and again he is pulling purely horizontally on this handle.
If Jack's lean angle is 20 degrees and he is leaning back - pivoting about his heels, how much force does he apply to the door handle?
Include units in your answer, lbs.
Express your answer to the nearest 0.1 lbs.
Answer:
He is pulling horizontally on a door handle situated at his shoulder height. ... His Center Of Mass While Standing Erect Is 61 Percent Of His Body Height, Measured ... Actually, it is his body weight and lean that creates this pulling action (a hint).
72ibs
How is a charged object created?
Charges are created when an object touches water.
Charges are created when the object is exposed to light.
Charges are transferred from one object to another.
Charges are transferred from the air to the object.
Answer:
Charges are transferred from one object to another.
Explanation:
The charges from one object to another are sharing there energy.
An electrically charged object creates an electric field. The electric potential due to this object:Group of answer choicesis a vector that points either towards or away from the object, depending on the sign of the chargeis a vector that makes circular paths around the objectis a non-negative scalaris a scalar but will be positive or negative depending on the sign of the charge
Answer:
It's a scalar but will be positive or negative depending on the sign of the charge.
Explanation:
The electric potential, at a given point, can be defined as the work per unit charge needed to bring a positive test charge from infinity to this point.It's positive if the charge creating the potential is positive (because it's needed that an external force do work on the test charge against the electric field that repels the positive charge).It's negative if the charge creating the potential is negative, because in this case the field will attract the positive test charge.What does a mass extinction look like in the fossil record?
O A. A layer of rock contains only fossils of living things that no longer
exist on Earth.
B. A layer of rock contains only fossils of species that presently exist
on Earth.
O C. A younger layer of rock contains a much greater variety of fossils
than a slightly older layer of rock does.
D. An older layer of rock contains a much greater variety of fossils
than a slightly younger layer of rock does.
Answer:
the answer is D
Explanation:
Mass extinctions were first identified by the obvious traces they left in the fossil record. ... Such dramatic changes in adjacent rock layers make it clear that mass extinctions were geologically rapid and suggest that they were caused by catastrophic events (e.g., a period of intense volcanic activity).
Mass extinction events wiped out many species at the same time resulting in older rock layers having more fossil variety than younger rock layers.
What are mass extinction events?Mass extinction events are events which resulted in the mass death of many species of organisms.
Mass extinction events are presumed to have occurred in the past as seen from gaps in the fossils records.
Mass extinction events are thought to have occurred through intense volcanic activity in a particular area.
A mass extinction event in the fossil record will show an older layer of rock containing a much greater variety of fossils than a slightly younger layer of rock does.
Therefore, mass extinction events wiped out many species at the same time.
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What force acts in the opposite direction to
an object moving through the air?
Air resitances also know as drag is a force that is caused by air the force acts in oppsite directions to an object moving through the air ..
HOPE THIS HELP YOU ..
HELP ITS FOR SCIENCE
1. Explain why a wrecking ball can destroy a building, but a yo-yo can’t. Use the term kinetic energy in your explanation.
2. How is speed related to kinetic energy?
Answer:
A wrecking ball has the capability to destroy a building due to the greater mass and kinetic energy than the yo-yo.
Do you ever have a sensation of loneliness?
Answer:
nope
Explanation:
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a man is trying to pull a box a distance of 3 m with a force of 20 N that makes a 35º with the horizontal.
Answer:
34.4Joules
Explanation:
Complete question
a man is trying to pull a box a distance of 3 m with a force of 20 N that makes a 35º with the horizontal. Find the workdone
Work done = Fdsin theta
Force F = 20N
distance d = 3m
theta = 35 degrees
Substitute
Workdone = 20(3)sin 35
Workdone = 60sin35
Workdone = 34.4Joules
Hence the workdone by the man is 34.4Joules