9514 1404 393
Answer:
0.2 m/s
Explanation:
The average velocity is the change in position divided by the change in time:
(8 m -4 m)/(20 s) = (4/20) m/s = 1/5 m/s = 0.2 m/s
The boy's average velocity is 0.2 m/s.
Emmy kicks a soccer ball up at an angle of 45° over a level field. She watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. Assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. Consider only the time that the ball is in the air, after being kicked but before landing. Take "north" and "up" as the positive x ‑ and y ‑directions, respectively, and use g≈10 m/s2 for the downward acceleration due to gravity.
Answer:
v_y = 10 - 10t
v_x = 10 m/s
Explanation:
This is a projectile launch where the x axis and y axis will be treated independently.
Now, towards the north on the x-axis, there will be no acceleration and so the speed is constant
So, vₓ = v₀ₓ
Whereas, on the vertical y - axis, the acceleration due to gravity with be negative since it's in a downward direction.
Thus, the equation is;
v_y = v_oy - gt
Now, the initial velocity component will be;
cos 45 = v₀ₓ/v₀
And sin 45 = v_₀y/v₀
Thus, we have;
v₀ₓ = v₀(cos 45)
Also, v_oy = v₀(sin 45)
Now, the initial velocity would be gotten from the equation of range which is;
R = (v₀² × sin 2θ)/g
Making v₀ the subject, we have;
v₀ = √(Rg/sin 2θ)
We are given;
R = 20 m
g = 10 m/s²
θ = 45°
Thus;
v₀ = √[20 × 10/(sin (2 × 45))]
v₀ = √200
v₀ = 14.14 m/s
Thus;
v₀ₓ = 14.14(cos 45) = 10 m/s
v_oy = 14.14(sin 45) = 10 m/s
Earlier we saw that;
v_y = v_oy - gt
Thus;
v_y = 10 - 10t
Also,we saw that;
vₓ = v₀ₓ
Thus;
v_x = 10 m/s
For the graph, we will use times of t = 0, 0.2, 0.4, 0.6, 0.8, 1.0, 1.2
Thus, for each of those values of t, we will have the following values of v_oy
t (s) v_oy (m / s)
0 10
0.2 8
0.4 6
0.6 4
0.8 2
1.0 0
1.2 -2
Graph is attached
MULTIPLE CHOICE QUESTION
What is the acceleration of the object?
(Remember a = Fnet/m and acceleration needs a
direction)
8 m/s/s
0.125 m/s/s to the right
8 m/s/s to the left
8 m/s/s to the right
Which object? More information is needed to answer this question
A force of 50n is applied to an object at an angle of 50 degrees measured relative to the horizontal. Determine the horizontal and vertical components of the applied force?
Answer:
Fx = 32.14 [N]
Fy = 38.3 [N]
Explanation:
To solve this problem we must decompose the force vector, for this we will use the angle of 50 degrees measured from the horizontal component.
F = 50 [N]
Fx = 50*cos(50) = 32.14 [N]
Fy = 50*sin(50) = 38.3 [N]
We can verify this result using the Pythagorean theorem.
[tex]F = \sqrt{(32.14)^{2}+ (38.3)^{2}} \\F = 50 [N][/tex]
A ball is dropped from a 19m high cliff. The acceleration on the ball was 9.8m/s². What was the ball's final velocity before hitting the ground?
Answer:
19.3 m/s
Explanation:
Take down to be positive. Given:
Δy = 19 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: v
v² = v₀² + 2aΔy
v² = (0 m/s)² + 2 (9.8 m/s²) (19 m)
v = 19.3 m/s
Select the correct answer from each drop-down menu.
Rocky metallic objects found between the orbits of Mars and Jupiter are(drop down). The largest known of these is(drop down).
Answer:
Blank 1 (asteroids)
Blank 2 (Ceres)
Explanation:
Rocky metallic objects found between the orbits of Mars and Jupiter are asteroids The largest known of these is ceres.
What are asteroids?Asteroids are stony elements that circle the Sun. Although asteroids circle the Sun in the same way as planets, they are considerably smaller.]
A dwarf planet located between Mars and Jupiter in the asteroid belt. Ceres was the first asteroid discovered, it was originally classed as a planet,
Rocky metallic objects found between the orbits of Mars and Jupiter are asteroids The largest known of these is ceres.
The correct option from the drop-down menu is asteroids and ceres.
To learn more about the asteroids refer to the link;
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Question 5 of 10
Two hockey pucks, each with a mass of 0.15 kg, slide across the ice and
collide. Before the collision, puck 1 is moving 14 m/s to the west and puck 2
is moving 10 m/s to the east. After the collision, puck 1 is moving at 10 m/s
to the east. What is the velocity of puck 2?
A. 14 m/s east
B. 10 m/s west
C. 10 m/s east
D. 14 m/s west
Answer: D. 14 m/s west
Explanation:
I just did it on A p e x
A placekicker kicks a football at and angle of 40.0 degrees and the initial speed of the ball is 22 m/s. Ignoring air resistance, determine the maximum height that the ball attains.
Answer:
10.18mExplanation:
in this problem, we are expected to solve for the maximum height of a projectile (the ball)
Firstly, the expression for maximum height is
h = u ^2 *sin ^2 θ /2 g
Given data
initial velocity u=22m/s
angle of projection, θ= 40degrees
substituting into the expression we have
h = 22^2 *sin (40)^2 /2 *9.81
h = 484*0.413 /19.62
h =199.892 /19.62
h=10.18m
The maximum height is 10.18m
The maximum height attains by ball is 48.64 meter.
The maximum height is given by using formula,
[tex]h=\frac{u^{2}*sin2\theta }{g}[/tex]
Where u is initial velocity, and value of [tex]g=9.8m/s^{2}[/tex]
Given that, [tex]u=22m/s,\theta=40,g=9.8m/s^{2}[/tex]
Substituting above values in formula.
[tex]h=\frac{(22)^{2}*sin80 }{9.8} =\frac{484*0.98}{9.8} =48.64m[/tex]
Hence, the maximum height attains by ball is 48.64 meter.
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If the force from the tibia on the femur illustrated below was 1000 N acting at 30° to the femur,
what are the components of this force Fs and Fl:
1000 N
F
300
Answer:
tibia would be 100N x 300
Explanation:
When an atom gains or loses electrons, it has an electrical charge. It is known as
Answer:
ion
Explanation:
Atoms can gain or lose making them no longer neutral they become charged and it is called ion.
2
A crane has an arm to which is attached a frictionless pulley. A cable passes over the pulley and
supports a load of 10 kN as shown.
frictionless pulley
104N
30
30°
crane arm
load
10 KN
The crane arm exerts a force F on the pulley.
What is the value of F?
C
8.7 KN
10 KN
D
A
17 kN
B
5.0 KN
Answer:
17kN
Explanation:
The force of 10 kN in the cable and the load of 10 kN both have a component along the crane arm.
The force F exerted by the crane arm on the pulley is the sum of these 2 components.
Component of force in cable along the crane arm = 10 cos 30°
Component of load along the crane arm = 10 cos 30°
Considering the forces on the pulley,
F = 10 cos 30° + 10 cos 30°
Force F = 17.32 kN = 17 kN
PLEASE HLEP ME ASAP
Tom, a 13 year old boy, wants to train for a 5k Fun Run that his school is organizing. What area of fitness should Tom focus on? What activities should he do to improve this area?
Answer:
cardiovascular endurance
Explanation:
In order for Tom to successfully complete the marathon, he should focus on being able to maintain a constant pace without tiring easily.
If I kick a ball off the top of a mountain cliff, will it take longer to hit the ground than if I just drop it? Explain your answer. Your answer:
Answer:
they will drop at the same time
Explanation:
projectile motion consists of two components, horizontal and vertical, which are independent of one another. That means that if you drop a ball and kick another one straight out, they will both hit the ground at the same time so long as they have the same initial drop height .
Consider two current-carrying circular loops. Both are made from one strand of wire and both carry the same current, but one has twice the radius of the other. If the magnetic field strength at the center of the smaller loop is B, what is the magnetic field strength at the center of the larger loop
Explanation:
The magnetic field at the center of a current-carrying circular loop is given by :
[tex]B=\dfrac{\mu_o I}{2r}[/tex]
Where, I is current and r is radius of loop
We have, two current-carrying circular loops. Both are made from one strand of wire and both carry the same current, but one has twice the radius of the other.
For smaller loop, the magnetic field is B (with radius r)
For larger loop, let the magnetic field be B' (with radius r', r'=2r). So,
[tex]B'=\dfrac{\mu_o I}{2r'}\\\\B'=\dfrac{\mu_o I}{2(2r)}\\\\B'=\dfrac{1}{2}\times \dfrac{\mu_o I}{2r}\\\\B'=\dfrac{1}{2}B[/tex]
Hence, the magnetic field strength at the center of the larger loop is half of the magnetic field strength at the center of the smaller loop.
please answer please please
Physics
Answer:
about -1.26 m/s²
Explanation:
The acceleration can be found from the formula ...
a = (v2² -v1²)/(2d)
Here, we have the initial velocity v1=23 m/s, the final velocity v2=0, and teh distance d=210 m. Using the formula, we find the acceleration to be ...
a = (0 -23²)/2(210) ≈ -1.2595 . . . m/s²
Perception of color is determined by the wavelength of light that an object reflects
Please select the best answer from the choices provided
T
Or
F
Answer:
True
Explanation:
hope I could help :)
Answer:
true
Explanation:
i know my stuff
Which statement describes earthquakes?
They release energy
They are caused by reduced stress in rocks
They begin at the epicenter
The result for movement on earth’s surface
Answer:
they release energy
Explanation:
An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus , seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity . therefore the correct answer is option A.
What is the equator?The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude .
An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus, seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity .
Thus, the correct answer is option A .
To learn more about the equator here , refer to the link given below ;
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Organ system that is responsible for breaking down food
a.Digestive
b.Respiratory
c.Circulatory
d.Nervous
Answer:
A. Digestive
Explanation:
Answer:
digestive system
Explanation:
since the digestive system secretes enzymes like amylase,lipase etc. required by the body for the proper breakdown of food.
Please help me if you know physics
Answer:
19. down
20. True
Explanation:
The examples I saw were projectiles launched at different angles and speeds. In each case, the only acceleration was ...
19: down
20: due to gravity (true)
Which of the following fields can only exist in one direction?
A vector is 9.55m long and points in a -48.0 degree direction. find the x component
Answer:
x=6.39 m
Explanation:
Rectangular Components of a Vector
Vectors can be expressed in several forms, including the magnitude-angle form, and the rectangular-coordinates form.
If the magnitude r and angle β are given, we can find the rectangular coordinates (x,y) as follows:
[tex]x=r\cos\beta[/tex]
[tex]y=r\sin\beta[/tex]
The vector of the question has a magnitude of r=9.55 m and an angle β=-48°. The x-component is:
[tex]x=9.55\cdot\cos(-48^\circ)[/tex]
Using a digital calculator:
x=6.39 m
4. State in words how acceleration is calculated.
Acceleration can be calculated by dividing the change in velocity by the change in time. If we have a mass and force that makes the acceleration, the divide the force by mass to get the acceleration.
What is acceleration ?Acceleration is a physical quantity which describes the rate of change in velocity. Like velocity, acceleration is a vector quantity having both magnitude and direction.
If both speed and direction are changing and if we want to know the acceleration at any particular moment in time, calculating acceleration can be challenging.
However, since just speed is changing, it is quite simple to determine average acceleration over time. After then, acceleration is equal to the time change divided by the velocity change.
a = ΔV/Δt
Similarly if have the force which accelerates a body of mass m, then the acceleration is the ratio of that force to the mass.
a = F/m
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10. The electron dot diagram for the element Ne would have
Answer:
2,8
Explanation:
The first electron shell would have 2 electrons, the second shell would have 8 electrons. This is because Neon has a relative charge of 10.
an airplane travels down a Runway at 1500 m in 17s what is the average speed
Answer:
88.23 m/s
Explanation: The equation for speed is s=d/t so in other words, speed equals distance over time so the distance is 1500 and the time is 17 seconds so you just devide 1500 by 17 and you get the speed. Remember to include your unit m/s after your answer
After a wave passes through a medium, particles in the medium
are permanently displaced in a direction opposite to the direction of the wave
remain in the new location
are moved along with the wave
return to the original position
Answer:
D. Return to the original position
Explanation:
I took the test
I need helpppppppppppppppppp!
Answer:
i think its B
Explanation:
but check it before do it
Answer:
A
Explanation:
Hope it helps I tried looking for think I found it hit the heart pls
Calculate the maximum energy that a 3-MeV alpha particle can transfer to an electron in a single collision.
Answer:
The maximum energy that can be transferred to an electron in a single collision of alpha particle is 1.63 keV
Explanation:
let mass of electron, Me = 1
let mass of proton, Mp = 1836Me = 1836
let mass of alpha particle, Ma = 4Mp = 7344
The maximum energy that can be transferred to an electron in a single collision is given by;
[tex]Q_{max} = \frac{4mME}{(M+m)^2}\\\\Q_\alpha_{max} = \frac{4(1)(7344)(3\ MeV)}{(1+7344)^2} = 0.00163 \ MeV = 1.63 \ KeV[/tex]
Therefore, the maximum energy that can be transferred to an electron in a single collision of alpha particle is 1.63 keV
The barren-ground caribou shown below is a large herbivore that lives in a subarctic climate near Yellowknife, Canada. Which of these is NOT an adaptation found in caribou?
A. Caribou have wide feet to help them avoid sinking into deep snow.
B. Caribou can digest a diet of grasses, twigs, and mushrooms.
C. Caribou can hold their breath for up to nine minutes underwater.
D. Caribou migrate between a summer location with abundant food and a winter location where conditions (weather, food, snow cover) are more favorable.
Answer:
C - Caribou can hold their breath for up to nine minutes
Explanation:
The other three are true.
The statement which is NOT an adaptation found in Caribou is:
C. Caribou can hold their breath for up to nine minutes underwater.According to the given question, we need to find the adaptation which is false from the answer choices about the large herbivore called Caribou.
As a result of this, the adaptation which cannot be found in Caribou is the statement that Caribou can hold their breath underwater for up to nine minutes which is false.
Therefore, the correct answer is option C
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The table represents the speed of a car in a northern direction over several seconds. Column 1 would be on the x-axis, and Column 2 would be on the y-axis. Which best lists the titles of each column? Column 1 0 2. 4 6 8 10 Column 2 5 10 15 20 25 30 O Column 1 should be titled "Time," and Column 2 should be titled "Velocity." O Column 1 should be titled "Velocity," and Column 2 should be titled "Time." O Column 1 should be titled "Time," and Column 2 should be titled "Acceleration." O Column 1 should be titled "Acceleration," and Column 2 should be titled "Time."
Answer:
Column 1 should be titled “Time,” and Column 2 should be titled “Velocity.”
Explanation:
Are renewable resources always renewable, or can they become non-renewable
Answer:
Can become non-renewable but it depends on the object
Explanation:
Answer:
Renewable resources are so abundant or are replaced so rapidly that, for all practical purposes, they can't run out. Fossil fuels are the most commonly used non-renewable resources
Explanation:
Hope this helps (:
An area that has been re-colonized after an environmental disturbance has undergone ____________. Group of answer choices Stratification Zonation Primary Succession Secondary Succession
Answer:
Secondary succession
Explanation:
Secondary succession is one of the two major types of ecological successions (the other being primary succession). Succession, generally, is characterized by the series of changes that occurs to an ecological community within a period of time.
However, secondary succession occurs when an already colonized area (with soil formed) becomes disturbed by environmental disasters or occurrences, leading to the recolonization of the area by certain organisms. Therefore, an area that has been re-colonized after an environmental disturbance has undergone SECONDARY SUCCESSION.