The vectors can be expressed using unit vectors as follows:
Vector A = 96N i + 96N j + 0N k
Vector B = 76.6N i + 64.3N j + 0N k
Vector C = 64N i + 48N j + 0N k.
In the given diagram, let's consider the vectors as follows:
Vector A with magnitude 120N, Vector B with magnitude 100N, and Vector C with magnitude 80N.
To express these vectors using unit vectors i, j, and k, we need to determine their respective components in the x, y, and z directions.
For Vector A (120N), we have the following information:
Magnitude = 120N
Direction: X-axis (cosine component) with an angle of 37° and Y-axis (sine component) with an angle of 53°.
Using the trigonometric values provided:
cos37° = 0.8 and sin53° = 0.8
Therefore, the components of Vector A are:
Ax = 120N * 0.8 = 96N (in the X-direction)
Ay = 120N * 0.8 = 96N (in the Y-direction)
Az = 0N (no component in the Z-direction)
Thus, Vector A can be written as 96N i + 96N j + 0N k.
Similarly, using the trigonometric values for Vector B and Vector C, we can calculate their components:
For Vector B (100N):
Bx = 100N * cos40° = 100N * 0.766 = 76.6N
By = 100N * sin40° = 100N * 0.643 = 64.3N
Bz = 0N
Vector B can be expressed as 76.6N i + 64.3N j + 0N k.
For Vector C (80N):
Cx = 80N * cos37° = 80N * 0.8 = 64N
Cy = 80N * sin37° = 80N * 0.6 = 48N
Cz = 0N
Vector C can be written as 64N i + 48N j + 0N k.
In summary, the vectors can be expressed using unit vectors as follows:
Vector A = 96N i + 96N j + 0N k
Vector B = 76.6N i + 64.3N j + 0N k
Vector C = 64N i + 48N j + 0N k.
For more questions on Magnitude , click on:
https://brainly.com/question/30337362
#SPJ8
An archer shoots an arrow that goes 210m in 1.5 seconds. What is it’s velocity in m/s
what is the final speed of an object that starts from rest and accelerates uniformly at 4.0 meters per second over a distance of 8.0 meters
A virtual image of a marble is located 13 cm in front of a diverging lens with a focal length of 29 cm.
Where is the marble located?
PLS ANSWER AM IN DESPERATE NEED OF HELP
Answer:
Image distance = 23.6cm
Explanation:
Given
[tex]Focal\ Length\ (f) = 29cm[/tex]
[tex]Object\ Distance (u) = 13\ cm[/tex]
Required
Determine the image distance (v)
This can be calculated using:
[tex]\frac{1}{f} = \frac{1}{u} + \frac{1}{v}[/tex]
[tex]\frac{1}{29} = \frac{1}{13} + \frac{1}{v}[/tex]
Collect Like Terms
[tex]\frac{1}{v} = \frac{1}{29} - \frac{1}{13}[/tex]
[tex]\frac{1}{v} = \frac{13 - 29}{29 * 13}[/tex]
[tex]\frac{1}{v} = \frac{-16}{377}[/tex]
[tex]v = \frac{-377}{16}[/tex]
[tex]v = -23.5625[/tex]
[tex]v = -23.6\ cm[/tex]
This implies that the image distance is 23.6cm and it is a virtual image.
a car's initial velocity is +25 m/s, and it accelerated at a rate of +7.5 m/s over a
period of 8.0 seconds what is the car's final velocity?
Use the definition of average acceleration:
a = ∆v / ∆t
Let x be the final velocity. Then
7.5 m/s² = (x - 25 m/s) / (8.0 s)
x = 25 m/s + (7.5 m/s²) (8.0 s)
x = 85 m/s
Question: How is a triple beam balance used to find mass?1. Observe: The riders have masses of 10 grams (top), 100 grams (middle), and 1 gram (bottom). Drag the 100-gram rider to 300. At this position it balances a 300-gram mass.What happens to the pointer? ________________________________________________2. Compare: Place each object on the measurement tray, one at a time. Which objects have a mass greater than 300 grams? ________________________________________________ How do you know? _________________________________________________________
Answer:
1) For the weight to be correct, the pointer must be below the reference (zero) or in it
2) mass greater than 300 g leave the pointer below the reference,
3) put weight on the other arms the pointer gets closer to the reference
Explanation:
1) A three-arm scale is used to determine the weight of a body by successive approximations, starting with the arm with the greatest mass (middle), when the pointer is close to zero without going over, weights are placed on the second arm (above ) weight is placed to bring the pointer closer to the reference without going over and when it is used the arm with the lowest mass is used (below) with this one, masses are placed until reaching the reference,
Taking all the jinetillos placed the total weight, the product of the position of the jinetillo by the precision of the arm and then the three values are added.
In the example given, the jinetillo is placed in position 3 of the 100 arm, so the weight is 300 gr.
For the weight to be correct, the pointer must be below the reference (zero) or in it
2) objects with a mass greater than 300 g leave the pointer below the reference, it must be completed with the other two arms to reach the correct weight
3) when you put weight on the other arms the pointer gets closer to the reference
7.In North America, a magnetic compass will point to
a - magnetic north
b- Santa's workshop
C - the South Pole
d - Italy
Answer:
I think then answer for this question is number c. the South pole
The kinetic energy of an object increases as its ____ increases.
Question 12 options:
gravitational energy
potential energy
specific heat
velocity
Answer:
velocity
Explanation:
velocity is the answer
The kinetic energy of an object increases as its velocity increases. The correct option is D.
An object's kinetic energy is linearly related to the square of its velocity. In other words, an object's kinetic energy grows more quickly the faster it moves. The equation below describes this relationship:
Kinetic Energy = (1÷2) × mass × velocity²
Therefore, the increase in kinetic energy of an item depends on its velocity. Potential energy, not kinetic energy, includes gravitational and potential energy.
Specific heat is a quality associated with a substance's ability to retain heat; it is unrelated to the kinetic energy of an object.
Thus, the correct option is D.
For more details regarding kinetic energy, visit:
https://brainly.com/question/999862
#SPJ6
Your question seems incomplete, the probable complete question is:
The kinetic energy of an object increases as its ____ increases
A. gravitational energy
B. potential energy
C. specific heat
D. velocity
Extra water is absorbed from undigested food in the _____.
small
intestine
stomach
large intestine
rectum
Answer: large intestine
Explanation:
mouth grind and moisten food
saliva break down starch into sugar
esophagus transport food from mouth to stomach
stomach churn food, break down food with enzymes
liver add bile to break down fat
pancreas add enzymes to digest protein
gallbladder store bile
small intestine absorb food through villi
large intestine absorb extra water and remove waste from body
If you have a gold brick that is 2.0 cm by 3.0 cm by 4.0 cm and has a density of 19.3 g/ml, what is its mass
Answer:
It is
Explanation:
1 Answer. The volume is 37.0 cm3Au .
definition of density
Answer:
the degree of compactness of a substance
Explanation:
So how much pressure that is inside something
_______ is a judgement about how true or false a conditional statement is.
A. Related conditional statement
B. Biconditional statement
C. Truth Value
D. Conditional statement
E. Hypothesis
F. Conclusion
G. Definition
Answer: F. Conclusion
Explanation:
Answer:
I think the answer is C. Truth Value
Explanation:
a Truth Value is the attribute assigned to a proposition in respect of its truth or falsehood, which in classical logic has only two possible values
What is the amount of heat, in calories, given off from a 5 g piece of aluminum when it cools from 80°C to 20°C? The specific heat capacity of aluminum is 0.215 cal/g∙°C. Show your work.
Answer:
Q (heat) = S * m * (T2 - T1) where Q is heat gained (loss), S the specific heat capacity of the substance and T2, T1 are the final and initial temps
Q = .215 cal / (g deg C) * 5 g * (20 - 80) deg C = -64.5 cal
Since the question specifies the heat emitted, then 64.5 cal is the
heat emitted (loss).
How can empty - shampoo bottles become useful?
A crane lifts 4 bricks per minute through a height of 1.5m. Find the power that is expected if each brick weighs 100N
A. 2.5w
B. 10.0w
C. 150.0w
D. 600.0w
please help. ill make you BRAINLIEST
Answer:
because well I dont even know sorryy but you got this
Kyle is wondering what he is getting for his birthday. He decides to shake the box that contains his present. Kyle did not realize it, but he was acting like a scientist. What was the first step Kyle took in this situation that a scientist also takes?
Answer: Asking questions
Explanation:
Scientists always start with their question before
Observing anything
pls help with these two last questions
Answer:
F = 50[N], to the left.
v = 10.52 [m/s]
Explanation:
First problem
In order to solve this problem we must apply Newton's laws, in such a way that we must perform a summation of forces on the horizontal axis. In this way we will analyze each force and the direction of action.
The offensive player is applying a force of 100N to the right, while the defensive player applies a force of 150N to the left. In this way performing the summation of forces we have.
100 - 150 = F
F = - 50 [N]
Note: The negative sign indicates that the resulting force is to the left.
Second problem
We must remember that the definition of speed is equal to the relationship between distance over time.
x = distance = 100 [m]
t = time = 9.5 [s]
v = x/t
v = 100/9.5
v = 10.52 [m/s]
A man walks 30 m to the west than 5 m to the east in 45 seconds.
A). what is his total distance walked?
B). What is his average velocity?
Answer:
35 m
0.56 m/s west
Explanation:
A) Total distance is the length of the path taken.
30 m + 5 m = 35 m
B) Velocity is displacement over time. Displacement is the difference between the final position and the initial position.
If west is -x, and east is +x, then:
Δx = -30 m + 5 m
Δx = -25 m
v = Δx / t
v = -25 m / 45 s
v = -0.56 m/s
v = 0.56 m/s west
The total distance travelled = 35 m and average velocity = 0.55 [tex]m/s^{2}[/tex]
We have a man who walked 30 m to the west than 5 m to the east in 45 seconds.
We have to find out his total distance walked and his average velocity?
Define Average velocity of a body?The average velocity is defined as the rate of change of displacement per unit time.
[tex]v_{avg} = \frac{x_{2} -x_{1} }{t_{2} -t_{1} }[/tex]
According to the question -
A). The total distance travelled will be equal to = [tex]X_{W} +X_{E}[/tex] = 30 + 5 = 35m
Since, the distance travelled is a scalar quantity, we have used simple addition method.
B). In order to calculate the average velocity, first we will calculate the displacement -
Consider the direction to the west as the + x axis, then -
displacement = [tex]30\overrightarrow{a_{x} } - 5\overrightarrow{a_{x} } = 25\overrightarrow{a_{x} }[/tex]
Magnitude of displacement = 25 x | [tex]\overrightarrow{a_{x} }[/tex]| = 25 x 1 = 25 m
[tex]v_{avg} = \frac{25}{45 } = 0.55[/tex] [tex]m/s^{2}[/tex]
Hence, the total distance travelled = 35 m and average velocity = 0.55[tex]m/s^{2}[/tex]
To solve more questions on Kinematics, visit the link below -
https://brainly.com/question/28149286
#SPJ2
To ancient peoples, why were planets special?
Answer:
Planets were like gods.
Explanation:
To the people of many ancient civilizations, the planets were thought to be deities. Our names for the planets are the Roman names for these deities. For example, Mars was the god of war and Venus the goddess of love.
The magnitude of the force associated with the gravitational field is constant and has a value FF . A particle is launched from point BB with an initial velocity and reaches point AA having gained U0U0 joules of kinetic energy. A resistive force field is now set up such that it is directed opposite the gravitational field with a force of constant magnitude 12F12F . A particle is again launched from point BB . How much kinetic energy will the particle gain as it moves from point BB to point AA ?
Answer:
The kinetic energy of the particle will be 12U₀
Explanation:
Given that,
A particle is launched from point B with an initial velocity and reaches point A having gained U₀ joules of kinetic energy.
Constant force = 12F
According to question,
The kinetic energy is
[tex]U_{0}=Fx[/tex]....(I)
Constant force = 12F
A resistive force field is now set up ,
Resistive force is given by,
[tex]F_{r}=12F[/tex]
When the particle moves from point B to point A then,
We need to calculate the kinetic energy
Using formula for kinetic energy
[tex]U=F_{r}x[/tex]
Put the value of [tex]F_{r}[/tex]
[tex]U=12Fx[/tex]
Now, from equation (I)
[tex]U=12U_{0}[/tex]
Hence, The kinetic energy of the particle will be 12U₀.
Pedro is pushing the car with a force of 300 N. A car moved a distance of 7m. Compute the work done by pedro
Answer:
W = 2100 [J]
Explanation:
We must remember that work is defined as the product of force by the distance traveled.
W = F*d
where:
W = work [Joules]
F = force = 300 [N]
distance = 7 [m]
Now replacing:
W = 300*7
W = 2100 [J]
who was the creator of sports
Answer:
James Naismith (November 6, 1861 – November 28, 1939) was a Canadian-American physical educator, physician, Christian chaplain, sports coach, and innovator.
Explanation:
egg drop lab report (high school)
Answer:
watch mark rober on yt he explains how to win
Explanation:
look up "Mark rober egg drop"
Answer:
does anyone have the lab report???
Explanation:
The questions at the bottom are 1. Both moving at a constant a velocity.2.Both accelerating.3.Both stopped.4.Bith have a force on them so what is the answer
why would a sound wave travel faster through a solid than a gas? Why can they not travel in outer space (which is a vacuum) at all? explain
Answer:
They travel fastest when the particles are able to collide more. Because there is no medium in a vacuum, it will travel the fastest. ... Solids, because of how close the particles are.
Explanation:
They travel fastest when the particles are able to collide more. Because there is no medium in a vacuum, it will travel the fastest. ... Solids, because of how close the particles are.
Jason walks 20 m East, turns around and 20 m West, Finally, he walks 10 rn North. This takes 20 s. what is Jason's velocity
Answer:
0.5 m/s north
Explanation:
Take east to be +x, west to be -x, north to be +y, and south to be -y.
His displacement in the x direction is:
x = 20 m − 20 m = 0 m
His displacement in the y direction is:
y = 10 m
His total displacement is therefore 10 m north.
His velocity is equal to displacement divided by time.
v = 10 m north / 20 s
v = 0.5 m/s north
These littler girls are trying to shoot a question to research for the school science fair. Which question may not be answered through scientific investigation
Answer:
i had this question as well
Explanation:
9 write the Greek etymological meaning of Tracheophyta.
Answer:
Etymology. From Ancient Greek τραχεῖα (trakheîa, “windpipe”) + -ophyta; compare English trachea
Explanation:
A car traveling at a speed of 30 m/s comes to a stoplight. How much time will it take for the car to stop if its acceleration is -4.0 m/s2?
A) 0.75 sec
B) 1.3 sec
C) 7.5 sec
D) -7.5 sec
Answer:
i belive its a or c
Explanation:
are pool ball collisions elastic
Yes pool ball collisions elastic
Explanation:
I Think yes
