Find the magnitude and direction of the displacement vector.
Answer:
1. The magnitude of the vector is 26.9 m
2. The magnitude of direction of the vector is 21.8°.
Explanation:
From the question given, we obtained the following data:
Displacement along x (Bₓ) = 25 m
Displacement along y (Bᵧ) = 10 m
Magnitude of displacement (B) =?
Magnitude of direction (θ) =.?
1. Determination of the magnitude of displacement of the vector (B)
Displacement along x (Bₓ) = 25 m
Displacement along y (Bᵧ) = 10 m
Magnitude of displacement (B) =?
B² = Bₓ² + Bᵧ²
B² = 25² + 10²
B² = 625 + 100
B² = 725
Take the square root of both side
B = √725
B = 26.9 m
Therefore, the magnitude of the vector is 26.9 m
2. Determination of the magnitude of the direction of the vector.
Displacement along x (Bₓ) = 25 m
Displacement along y (Bᵧ) = 10 m
Magnitude of direction (θ) =.?
The magnitude of direction of the vector can be obtained by using Tan ratio as illustrated below:
Adjacent = Bₓ = 25 m
Opposite = Bᵧ = 10 m
Magnitude of direction (θ) =.?
Tan θ = Opposite /Adjacent
Tan θ = Bᵧ / Bₓ
Tan θ = 10 /25
Tan θ = 0.4
Take the inverse of Tan
θ = Tan¯¹ (0.4)
θ = 21.8°
Therefore, the magnitude of direction of the vector is 21.8°.
What is the equation for theoretical velocity of a projectile motion???? Please help I’m crying
a ship sends a sound wave straight to the seabed and receives the echo 1.5s later. the speed of sound in sea water is 1500 m/s how deep is the sea at that place
Answer:
Approximately [tex]1125\; \rm m[/tex].
Explanation:
Calculate the distance that sound would travel in [tex]1.5\; \rm s[/tex] at [tex]1500\; \rm m \cdot s^{-1}[/tex]:
[tex]s = v\cdot t = 1500\; \rm m\cdot s^{-1}\times 1.5\; \rm s = 2250\; \rm m[/tex].
Sound waves in this question here needs to:
travel from the ship to the bottom of the sea,get reflected at the ocean floor, andtravel back to the ship from the bottom of the ship.Hence, the total distance that sound travelled in that [tex]1.5\; \rm s[/tex] would be the sum of:
the length of the path from the ship to the ocean floor, and the length of the path from the ocean floor back to the ship.Therefore, the distance [tex]2250\; \rm m[/tex] here is supposed to be approximately twice the depth of the sea at that place. The depth of the sea would thus be approximately:
[tex]\displaystyle \frac{1}{2}\times 2250\; \rm m = 1125\; \rm m[/tex].
A wildebeest and chicken participate in a race over a 2.00km long course. the wildebeest travels at a speed of 16.0m/s and chicken can do 2.50m/s. the wildebeest runs for 1.600km and then stops to tease the slow-moving chicken, which eventually passes by. the wildebeest waits for a while after the chicken passes and then run toward the finish line. both animal cross the finish line at the exact same instant. assume boat animals, when moving, move steadily at their respective speed.
(a) how far (in m) is the chicken from the Finish Line when the wildebeest resume the race?
(b) for how long in time (in s) was the wildebeest stationary?
Answer:
(a) The distance of the chicken from the finish line is 62.5 m
(b) The stationary time of the wildebeest is 675 s
Explanation:
Given;
total distance traveled by wildebeest and chicken, d = 2 km = 2000 m
speed of the wildebeest, [tex]v_w[/tex] = 16 m/s
speed of the chicken, [tex]v_c[/tex] = 2.5 m/s
Time for wildebeest to finish the race without stopping, 2000 / 16 = 125 s
Time for chicken to finish the race without stopping, 2000/2.5 = 800 s
(b) for how long in time (in s) was the wildebeest stationary?
t(stationary) = t(chicken) - t(wildebeest)
t = 800s - 125 s
t = 675 s
(a) how far (in m) is the chicken from the Finish Line when the wildebeest resume the race?
The time taken for the wildebeest to run 1.6 km (1600 m) is given by;
t = 1600 / 16 = 100 s
The total time spent by the wildebeest before it resumed the race = stationary time + 100s
t (total) = 675 s + 100 s = 775 s
Distnace traveled by the chicken when the wildebeest resumed the race = 2.5m/s x 775s = 1937.5 m
Thus, the distance of the chicken from the finish line = 2000 m - 1937.5 m
the distance of the chicken from the finish line = 62.5 m
According to the question,
Distance, [tex]S = 2 \ km \ or \ 2000 \ m[/tex][tex]S_1 = 1.6 \ km \ or \ 1600 \ m[/tex]
Speed, [tex]V_w = 16 \ m/s[/tex][tex]V_c = 2.5 \ m/s[/tex]
Time, [tex]t_1 = \frac{S_1}{V_w}[/tex][tex]= \frac{1600}{16}[/tex]
[tex]= 100 \ s[/tex]
[tex]t_2 = \frac{400}{16}[/tex]
[tex]= 25 \ s[/tex]
Now,
→ [tex]T= \frac{S}{V_c}[/tex]
[tex]= \frac{2000}{2.5}[/tex]
[tex]= 800 \ s[/tex]
(a)
Distance will be:
→ [tex]S_c' = V_c\times t_2[/tex]
By substituting the values,
[tex]= 2.5\times 25[/tex]
[tex]= 62.5 \ m[/tex]
(b)
Time will be:
→ [tex]T_{static} = T-(t_1+t_2)[/tex]
[tex]= 800-125[/tex]
[tex]= 675 \ s[/tex]
Thus the responses above are correct.
Find out more information about speed here:
https://brainly.com/question/4931057
Select the appropriate shape for the given volume formula.
V = trh
va
V = jwh
V=
Answer: hope this helps
Explanation:
how does the rocket engine work?
Answer:
The vacuum of space
Heat management problems
The difficulty of re-entry
Orbital mechanics
Micrometeorites and space debris
Cosmic and solar radiation
The logistics of having restroom facilities in a weightless
Explanation:
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:
Measure Your Reaction Time Here's something you can try at home-an experiment to measure your reaction time. Have a friend hold a ruler by one end, letting the other end hang down vertically. At the lower end, hold your thumb and index finger on either side of the ruler, ready to grip it. Have your friend release the ruler without warning. Catch it as quickly as you can. If you catch the ruler 6.4 cm (~2.5 inches) from the lower end, what is your reaction time?
Answer:
Explanation:
The reaction time will be equal to the time the ruler takes to fall by 6.4 cm .
the ruler is falling with acceleration due to gravity which is equal to
9.8 m /s²
S = ut + 1/2gt²
s is distance of fall , u is initial velocity , t is time and g is acceleration due to gravity .
6.4 = 0 + 1/2 x 9.8 t²
t = 1.14 s .
So reaction time is 1.14 s .
Answer:
0.114s
Explanation:
--------------------------------------------------------------------------------------------------------------
The reaction time is simply how long it takes the ruler to fall 6.4 cm.
For this problem, all you gotta do is convert your units and then plug them into a kinematic equation for t (time).
{*0.01 the conversion from cm to m}
--------------------------------------------------------------------------------------------------------------
Units:
Δx (change in x) or d = 6.4 cm = 0.064m
Vi = 0 m/s
a = 9.81 m/s^2
t = ?
--------------------------------------------------------------------------------------------------------------
[tex]d = Vi * t + \frac{1}{2} *a*t^{2}[/tex]
(0.064) = 0 * t + 1/2 * (9.81) * t^2
↓
0.064 = 1/2 * (9.81) * t^2
↓
0.064 = 4.905 * t^2
↓
0.01304791 = t^2
↓
t = 0.114s
--------------------------------------------------------------------------------------------------------------
Your reaction time is 0.114s
1.How are elements arranged on the periodic table in terms of valence electrons?
2. Show some evidence using data tables
3. Explain how the evidence supports your claim. Explain how the evidence from your data table shows the trends for valence electrons for both groups and periods on the periodic table.
Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration.
1. Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration. The valence electrons are the outermost electrons in an atom's electron shell, and they are crucial in determining the chemical properties and reactivity of elements.
2. Evidence from data tables can be shown by examining the electron configuration and the group and period numbers of various elements on the periodic table. Here is a simplified example:
Element | Electron Configuration | Group | Period |
--------------------------------------------
Hydrogen | 1s^1 | 1 | 1 |
Lithium | [He] 2s^1 | 1 | 2 |
Carbon | [He] 2s^2 2p^2 | 14 | 2 |
Oxygen | [He] 2s^2 2p^4 | 16 | 2 |
Neon | [He] 2s^2 2p^6 | 18 | 2 |
--------------------------------------------
3. The evidence from the data table supports the claim that the arrangement of elements on the periodic table is based on valence electrons.
- Group Trend: Elements within the same group (vertical columns) share the same number of valence electrons. In the example table, Hydrogen, Lithium, and Neon are all in Group 1, indicating they have 1 valence electron.
- Period Trend: Elements within the same period (horizontal rows) have the same number of electron shells. In the example table, Hydrogen and Lithium are in Period 1, indicating they have their valence electron in the first energy level. Carbon, Oxygen, and Neon are in Period 2, indicating they have their valence electrons in the second energy level.
By examining the electron configurations, group numbers, and period numbers, we can clearly see the trends and patterns in the number of valence electrons for both groups and periods on the periodic table. This evidence supports the claim that the arrangement of elements on the periodic table is based on their valence electrons, which play a crucial role in determining their chemical behavior and properties.
For more such questions on the periodic table:
https://brainly.com/question/15987580
#SPJ8
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
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
What do physicist use to help us understand how things move and work?
choose all that applies
Models
Religion
Mathematics
Answer:
Models,Mathematics
am not sure pliz mark brainliest
Explanation:
Which word contains a prefix that means against?
A
microwave
B
antidepressant
с
macrobiotic
D
overdramatic
Which of the following will cause an increase in the mass of an object? (1 point)
a
b
Increase in the gravitational pull
Decrease in the gravitational pull
Increase in the amount of matter present in the object
с
d
Decrease in the amount of matter present in the object
What are the 6 factors of sustainability
Answer:
social impact, focused business strategy, economic viability
Explanation:
Just like the journalism industry, the factors of sustainability are ever-evolving. Community Wealth Partners recommends that nonprofit organizations consider how they are performing across five key drivers of sustainability which is social impact, focused business strategy, economic viability
A car advertisement states that a certain car can accelerate from rest to
40 km/hr in 5 sec. Find the car's average acceleration.
Answer:
a = 2.22 [m/s^2]
Explanation:
First we have to convert from kilometers per hour to meters per second
[tex]40 [\frac{km}{h}]*[\frac{1h}{3600s}]*[\frac{1000m}{1km}] = 11.11 [m/s][/tex]
We have to use the following kinematics equation:
[tex]v_{f}= v_{i}+(a*t)[/tex]
where:
Vf = final velocity = 11.11 [m/s]
Vi = initial velocity = 0
a = acceleration [m/s^2]
t = time = 5 [s]
The initial speed is taken as zero, as the car starts from zero.
11.11 = 0 + (a*5)
a = 2.22 [m/s^2]
Refer to the attachment.
true or false. both the incident and reflected ray lie in the same plane.
Answer:
I think its false...........
What are some important attitudes to keep in mind when working with parents and families with special needs?
Answer:
You need to be patient with them. Also, a positive attitude is the single most important quality for anyone who works with children with special needs. I’ve seen highly trained specialists unable to interact with Louie because of their negative attitude and assumptions
The relation of each of the three laws of Kepler with the Universal law of Gravitation.
Answer:
Kepler's three laws of planetary motion can be described as follows: ... Kepler's first law is rather simple - all planets orbit the sun in a path that resembles ... Newton was able to combine the law of universal gravitation with circular motion ... The net centripetal force acting upon this orbiting planet is given by the relationship ...
People also ask
Explanation:
Conjecture: The population of White is 80% of the total population.
Is this conjecture true?
A. No, the percentage of White is found by dividing 301,461,533 by 224,469,780 and gives 1.34%
B. No, the percentage of white is found by diving 301,461,533 by (301,461,533 - 224,469,780) and gives 3.92%
C. Yes.
D. No, the percentage of white is found by dividing (301,461,533 - 224,469,780) by 301,461,533 and gives 25.54%
E. No, the percentage of White is found by diving 224,469,780 by 301,461,533 and gives 74.46%
Answer:
E. No, the percentage of White is found by dividing 224,469,780 by 301,461,533 and gives 74.46%
Explanation:
Remember, the term percentage or finding a percentage means finding the proportion or share out a whole.
From the attached image we could notice that the total population is 301,461,533. According to the rules of mathematics, to find the percentage of White citizens by dividing 224,469,780 by 301,461,533
[tex]\frac{224,469,780}{301,461,533}[/tex] x 100 = 74.46%.
At the end of the school day, at exactly 2:30 pm, a group of students run out of the school building and reach the edge of the school property at 2:30:45 s. Which of the following correctly describes the motion in terms of time?
Question 2 options:
A)
t1= 0, t2 = 2:30:45 s, ∆t = 45 s
B)
t1= 2:30, t2 = 45 s
C)
∆t = 2:30
D)
t2= 2:30:45 s, ∆t = 45 s
Explanation:
Initial time, t₁ = 2:30 pm
Final time, t₂ = 2:30:45
We need to find the motion of students in terms of time. Final time is 45 seconds more than the initial time.
Change in time,
[tex]\Delta t=t_2-t_1\\\\\Delta t=2:30:45-2.30\\\\\Delta t=45\ s[/tex]
Hence, this is the required solution.
The students need 45 seconds to reach out at the edge of the school property with the final interval of 2:30:45 s. Hence, option (D) is correct.
What is a time interval?The difference between the moment of starting an event and the completion of the same is known as the time interval.
Given data -
The exact time to start the day at school is, t1 = 2:30 pm.
The time given to reach the edge of the school property is, t2 = 2:30:45 s.
In order to describe the motion, we need to obtain the change in the time interval. Then the expression for the change in the time interval is,
Δt = t2 - t1
Solving as,
Δt = 2:30:45 - 2:30
Δt = 45 s
Thus, we can conclude that the students need 45 seconds to reach out at the edge of the school property with the final interval of 2:30:45 s.
Learn more about the time interval here:
https://brainly.com/question/25996105
Ability to make things move is called
Answer:
Force
Explanation:
You can't "make" things move but you can apply enough force on to an object for it to move, pls brainliest!
If an arrow is fired from a bow with a perfectly horizontal velocity of 60 m/s and the arrow
was 2 m above the ground when it was released, how far will the arrow fly horizontally before it strikes the ground?
Explanation:
This problem is solved by determining how long it takes the arrow to fall to the ground in exactly the same manner as if the arrow was dropped with no horizontal velocity. The time required for the arrow to fall to the ground will be the same time that the arrow flies horizontally at 60.0 m/s, so
d=1/2at^2
solved for t=√2d/a
t=√(2)(2.00m)/9.80m/s^2 =0.639s
The time required for the fall is multiplied by the horizontal velocity to get the horizontal distance.
d(horizontal)=v(horizontal)×time=60.0m×0.639s =38.3m
The arrow will fly 37.8 meters in the horizontal direction before it strikes the ground.
What is projectile motion?Projectile motion is a form of motion experienced by an object or particle that is projected near Earth's surface and moves along a curved path under the action of gravity only.
Given is an arrow fired perfectly along the horizontal direction with velocity of 60 m/s. The arrow was 2 m above the ground when it was released.
initial horizontal velocity = u[H] = 60 m/s
initial vertical velocity = u[V] = 0 m/s
Horizontal acceleration = a[H] = 0 m/s²
Vertical acceleration = a[V] = 9.8 m/s²
Vertical distance = S[V] = 2 m
Using second equation of motion for vertical direction to calculate time taken to reach the ground.
S[V] = u[V] × t + 1/2 a[V] × t²
S[V] = 1/2 × a[V] × t²
2 = 1/2 x 9.8 x t²
4/9.8 = t²
t² = 0.4081
t = 0.63 seconds
Horizontal distance covered = S[H] = u[H] x t
S[H] = 60 X 0.63 = 37.8 meters
Therefore, the arrow will fly 37.8 meters in the horizontal direction before it strikes the ground.
To solve more questions on Projectile motion, visit the link below-
https://brainly.com/question/19654389
#SPJ2
During a journey, a bus travelled 319 miles in 6 hour and 221 miles in 3
hours. What was the average speed for the whole journey?
mph
Explanation:
i hope i have been useful buddy.
good luck ♥️♥️♥️.
Given parameters:
Distance 1 = 319 miles
Time taken 1 = 6 hours
Distance 2 = 221 miles
Time taken 2 = 3 hours
Unknown:
Average speed = ?
To find the average speed we need find the total distance traveled and divided by the total time taken for the travel.
Speed is a scalar quantity that expresses the distance covered per unit of time.
Mathematically;
Average speed = [tex]\frac{Total distance }{Total time taken }[/tex]
= [tex]\frac{distance 1 + distance 2}{time taken 1 + time taken 2}[/tex]
= [tex]\frac{319 + 221}{6 + 3}[/tex]
= 60miles/hr
The average speed of the bus is 60miles/hr
You take a break from doing your physics homework and go to the grocery store to buy pasta. The store is out of your favorite kind of pasta so, instead, you buy pasta that is the same shape as your usual pasta but is twice as big in every dimension (twice as long, twice as wide, etc.). One box of the bigger pasta pieces has the same net weight as one box of your usual pasta.
Required:
a. How many of the individual pieces are in one box of the larger pasta?
b. Suppose it takes you 5 tablespoons of olive oil to coal all the pasta in one box of the normal pasta with a thin layer of oil. How many tablespoons of oil will you need in order to coat all the pieces in one box of big pasta with the same thin layer of oil?
Answer:
a) #_pastes = N / 8 , b) 5 tablespoons oil
Explanation:
a) For this exercise we can use the inverse proportions rule. So if each pasta has more volume in the same box size, tame pasta will fit.
Let's find the volume of the new pasta
V = 2L 2W 2H
V = 8 L W H
V = 8 V₀
where V₀ is the volume of the usual pasta and we assume that there is N quantity in the box. therefore for the new pasta
#_pastas = N V₀ / 8V₀
#_pastes = N / 8
unfortunately you do not give the number of usual pastes to finish the calculation.
b) Let's analyze the situation, if the size of the box is the same, I initially need 5 tablespoons for charring and then I have the same box I will need the same amount of oil since the number of pastes is less
What is the distance an object travels and the direction of its motion from starting point?
Answer: Well you didn't give any answers so my guess would be it depends how much force you put into it and where you throw it.
Explanation:
A cheetah can run at a maximum speed 107 km/h and a gazelle can run at a maximum speed of 71.8 km/h. If both animals are running at full speed, with the gazelle 95.6 m ahead, how long before the cheetah catches its prey? Answer in units of s.
Answer:
9.8 seconds
Explanation:
Let's start by changing the speeds of both animals into meters per second:
107 km/h = 107000 m/3600s = 29.72 m/s
71.8 km/h = 71800 m/3600s = 19.94 m/s
The distance covered equation for the cheetah is:
Dc = 29.72 t
The distance covered equation for the gazelle considering as origin the cheetah's starting location, is:
Dg = 95.6 + 19.94 t
We make both equations equal at the time (t) the cheetah catches with the gazelle:
Dc =Dg
29.72 t = 95.6 + 19.94 t
solve for "t":
29.72 t - 19.94 t = 95.6
9.78 t = 95.6
t = 95.6 / 9.78
t = 9.775 seconds
We can approximate it to 9.8 seconds
Why do people calculate net force and make force diagrams?
O It allows us to calculate speed of an object
It allows us to predict the mass of objects
It allows us to predict motion and changes in motion
It allows us to calculate mass and weight
As shown in the figure below, a cow runs leftward 50 m to eat some apples, then walks leftward another
100 m to munch on some flowers. The cow's total travel time is 230 s.
Answer:velocity =-.65 speed=.65
Explanation:
i got the answer right on kahn academy
ayuden ha resolver este ejercicio porfa
Answer:
un café y a seguir pensando porque no se la respuesta xd
