Answer:
[tex]57.24^{\circ}[/tex]
24.21 m/s
Explanation:
x = Displacement in x direction = 55 m
y = Displacement in x direction = 0
[tex]y_0[/tex] = Height of the ball when the ball is kicked = 1 m
t = Time taken = 4.2 s
[tex]a_y=g[/tex] = Acceleration due to gravity = [tex]-9.81\ \text{m/s}^2[/tex]
u = Initial velocity of ball
Displacement in x direction is given by
[tex]x=u_xt+\dfrac{1}{2}a_xt^2\\\Rightarrow 55=4.2u_x+0\\\Rightarrow u_x=\dfrac{55}{4.2}\\\Rightarrow u\cos\theta=13.1\ \text{m/s}\\\Rightarrow u=\dfrac{13.1}{\cos\theta}[/tex]
Displacement in y direction is given by
[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow 0=1+4.2u\sin\theta+\dfrac{1}{2}\times (-9.81)\times 4.2^2\\\Rightarrow 0=4.2u\sin\theta-85.5242\\\Rightarrow u\sin\theta=20.36\ \text{m/s}\\\Rightarrow u=\dfrac{20.36}{\sin\theta}[/tex]
[tex]\dfrac{13.1}{\cos\theta}=\dfrac{20.36}{\sin\theta}\\\Rightarrow \dfrac{20.36}{13.1}=\dfrac{\sin\theta}{\cos\theta}\\\Rightarrow \theta=\tan^{-1}\dfrac{20.36}{13.1}\\\Rightarrow \theta=57.24^{\circ}[/tex]
The ball should be kicked at an angle of [tex]57.24^{\circ}[/tex]
[tex]u=\dfrac{13.1}{\cos\theta}=\dfrac{13.1}{\cos57.24^{\circ}}\\\Rightarrow u=24.21\ \text{m/s}[/tex]
The initial speed of the ball is 24.21 m/s.
The number of unknowns in the question are two therefore two equations
are required to find a solution.
Part A: The angle at which the ball should be kicked is approximately 57.56°
Part B: The initial speed with which the ball should be kicked is approximately 24.41 m/s.
Reasons:
The given parameters are;
Time the ball should be in the air = 4.2 s
Point the ball should land, d = 5.5 m from where it was kicked
Height at which the ball leaves the ground = 1.0 m
Part A;
The angle at which the ball should be kicked.
Solution;
The horizontal distance, d = uₓ·t
Therefore;
[tex]u_x = \dfrac{d}{t} = \dfrac{5.5}{4.2} = \dfrac{55}{42}[/tex]
[tex]u_x = u \cdot cos(\theta)= \dfrac{55}{4.2}[/tex]
Where;
u = The initial velocity
[tex]Vertical \ motion , \ h =\mathbf{h_0 + u_y\cdot t - \dfrac{1}{2} \cdot g \cdot t^2}[/tex]
Which gives;
[tex]0 =1 + u_y\times 4.2 - \dfrac{1}{2} \times 9.81 \times 4.2^2 = 4.2\cdot u_y - 86.5242[/tex]
[tex]u_y =u \cdot sin(\theta) = \dfrac{86.5242}{4.2} = 20.601[/tex]
[tex]\dfrac{u_y}{u_x} =\dfrac{20.601}{\left(\dfrac{55}{4.2} \right)} = \mathbf{ \dfrac{u \cdot sin(\theta)}{u \cdot cos(\theta)}} = tan\left( \theta)[/tex]
[tex]\mathrm{The \ angle \ at \ which \ the \ ball \ should \ kicked } \ \theta = arctan \left(\dfrac{20.601}{\left(\dfrac{55}{4.2} \right)} \right) \approx \underline {57.56 ^{\circ}}[/tex]
Part B
[tex]u \cdot cos(\theta)= \dfrac{55}{4.2}[/tex]
[tex]The \ initial \ speed, \ u= \dfrac{55}{4.2 \times cos(57.56^{\circ })} \approx 24.41[/tex]
The initial speed of the ball, u ≈ 24.41 m/s
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compound name: for C3N6
Answer:
C3N6 is also known as propene(Meythlethylene)
Explanation:
Propene has 3 Carbon molecules and 6 nitrogen molecules. This makes the new substance a non-metal.
. A car going 50 m/s accelerates to pass a truck. Five seconds later the car is going 80m/s. Calculate the acceleration of the car.
Npk fertilizer is called a complete fertilizer,why?
Answer:
Complete fertilizers or balanced fertilizers are so-called because of their amounts of nitrogen, phosphorus, and potassium. ... If your soil already had an excess of one of the three nutrients in NPK, you could actually be harming some of your plants by adding more of it to the soil
Explanation:
In boiling water, water molecules move apart and escape in the form of water vapor. The process is called_
Answer:
Evaporation
Explanation:
Evaporation occurs when a liquid changes to a gas. During evaporation, molecules gain enough thermal energy to escape from the liquid surface into the air as water vapor. Water-vapor molecules spread out, breaking completely free of each other, and then disperse or spread out among the other gas molecules in the air.
Hope this helps stay safe
love anyla..
Answer:
evarporation that is the answer i think because molecules of liqid are sperated thats why when in boiling water The molecules move apart and escape in vapour even i don't think it is the right answer
14. Determine the kinetic energy of a 1000-kg roller coaster car that is moving with a speed of
40.0 m/s.
Answer:
200,000 JExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass
v is the velocity
From the question we have
[tex]k = \frac{1}{2} \times 1000 \times {40}^{2} \\ = 500 \times 400[/tex]
We have the final answer as
200,000 JHope this helps you
Hello!!
Sorry to contradict the before answer, but he's wrong.
The formula is correct:
k = 1/2 * mv²
If we replace it with our data:
k = 1/2 * (1000 kg) (40 m/s)²
Here is the problem, 40^2 is = 1600, so the result is wrong:
k = 500 Kg * 1600 m²/s²
And if we resolve it:
k = 800 000 Joules
Then the kinetic energy of the roller coaster car is 800 000 Joules.
Come up with your own team sports game and make your own rules and regulation.
SO my sports name would be called " Basvollball" It's where you have to hit in a volleyball into a basketball hoop, of course, the time is the same as football with increments of 5 minutes for junior high and 7 minutes for high school with halftime. Also, the ball can never touch the ground and if the ball ever hits the floor its the other's team ball. To decide which team gets the ball, a coin flip will decide it. For the point system, it depends on how far the ball is hit from so it's like basketball from 3 pointers to 2 points inside the line. If the team ever reaches 30 points without the other team scoring, the team who's winning will automatically win after the time runs out in that period or quarter. You can use every body part, as long as, the ball doesn't touch the floor, and you can only use your body to push someone, no pushing with hands or arms. You can play this sport indoors or outside whether the team has a field available. There's also a maximum of 14 players on the field, so 7 players on each team.
Explain how to identify a starting position on a line.
Answer: You can easily find out the beginning point of the line by using dot representation. When it comes to position vector, it expresses the exact position of certain object from the starting point of the coordinate system. The vector is a straight line that has a certain end which is fixed to its body.
brainliest please :)
Answer:
We can easily find out the beginning point of the line by using dot representation. When it comes to the position vector, it expresses the exact position of a certain object from the starting point of the coordinate system. The vector is a straight line that has a certain end that is fixed to its body.
What sport was inspired by basketball adapted for older adults who were still interested in being physically active
Answer:
shes right, I just took the test
If a car with an initial velocity of 10 m/s accelerates at a rate of 50 m/s^2
for 3 s. What will be the final velocity? *
Given:
Initial velocity (u) = 10 m/s
Acceleration (a) = 50 m/s²
Time taken (t) = 3 s
To Find:
Final velocity (v)
Answer:
By using equation of motion, we get:
[tex] \bf \longrightarrow v = u + at \\ \\ \rm \longrightarrow v = 10 + 50 \times 3 \\ \\ \rm \longrightarrow v = 10 + 150 \\ \\ \rm \longrightarrow v = 160 \: m {s}^{ - 1} [/tex]
[tex] \therefore [/tex] Final velocity (v) = 160 m/s
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Free Weights and Machines What are some things to consider when deciding to use free weights or machine weights?
Machine weights are safer when used correctly, but free weights can be dropped and cause injury. These are safety considerations to keep in mind whether using free weights or machine weights. But because they aren't big, complicated machinery, free weights are less expensive.
What are free weights or machine weights?Resistance machines and free weights are very different from one another in terms of how they work and the results they can create.
Machines are set in place and can only move in a few directions, whereas free weights can be moved in whatever direction the user selects. This is the main distinction between machines and free weights. Free weights require you to utilize more stabilizing muscles to control them, whereas resistance machines help you by stabilizing you while you move.
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What is the velocity of a 0.06
kg ball moving with 75 J of energy?
Answer:
The ball moves at 50 m/s
Explanation:
Kinetic Energy
Is the energy that it possesses an object of mass m due to its motion at speed v. The kinetic energy is calculated as follows:
[tex]\displaystyle K=\frac{1}{2}m\cdot v^2[/tex]
If we know the value of the kinetic energy and need to calculate the speed, we can solve it for v:
[tex]\displaystyle v=\sqrt{\frac{2K}{m}}[/tex]
Since the ball has a mass of m=0.06 kg and moves with a kinetic energy of K=75 Joule:
[tex]\displaystyle v=\sqrt{\frac{2\cdot 75}{0.06}}[/tex]
[tex]\displaystyle v=\sqrt{\frac{150}{0.06}}[/tex]
[tex]\displaystyle v=\sqrt{2500}[/tex]
v=50 m/s
The ball moves at 50 m/s
Answer:50m/s
Explanation:divide
what is a Harmful mutation
Caregivers should begin reading to children:
When they are babies.
When they can talk.
When they show an interest.
When they are two.
When they are preschoolers.
Answer:
When they are babies. to get them familar with it
Explanation:
Pls choose brainliest.
Answer:
When they are babies
Explanation:
Because they could hear the words and laern them.
While a dog runs forward, its
owner pulls back with a 22.4 N
force at a 115º direction, doing
-42.3 J of work. How far did the
dog move?
(Unit = m)
HELP ME
Answer:
d = 4.47 [m]
Explanation:
To solve this problem we must make a free body diagram, where we can see the direction of the force acting with the appropriate angles. In the attached image we can see the free body diagram mentioned.
So in the image, we can see an angle of 65° with respect to the horizontal, therefore we can calculate the horizontal component of the force.
Fx = 22.4*cos (65)
Fx = - 9.46 [N] (it's negative because the force is pointing in the negative direction).
We can obtain the same result using 115° as the angle.
Fx = 22.4*cos (115)
Fx = 9.46 [N]
Now we know that work is defined as the product of the force by the distance, therefore we have.
Note: Always the work must be calculated with the force parallel
to the movement
W = F*d
Where:
W = work = 42.3 [J] (units of joules)
F = force parallel to the movement = 9.46 [N]
d = distance [m]
d = W/F
d = 42.3/9.46
d = 4.47 [m]
Answer:
Explanation:
the person on top of me is right it’s 4.47
PLEAASSEEEE HELLLPPP !
Answer: It moves in the direction of Fb at a constant rate of speed, because the same amount of force is being added the whole time.
Explanation:
GIVING BRAINLY, FOLLOW AND STARS, HELP!
When a solid object absorbs infrared rays, what happens to the particles
in that object?
Answer:
All objects emit and absorb infrared radiation. The hotter an object is the more energy it radiates per second. Infrared radiation can travel through a vacuum. When infrared radiation hits an object some of the energy is absorbed, making the objects temperature increase, and some is reflected.
Explanation:
15 points :) plz hurry tho
Answer:
The rock in Diagram A seems to not have that much stress on it, the one in B seems to be pushing itself together, the one in C seems to be pulling itself apart and the one in D seems to be sliding past each other. A has not had any stress as its staying still while B seems to be a tectonic plate where subduction is occurring, in rock C it also seems to be a tectonic plate where it is a Convergent Boundary, rock C seems to be a Divergent Boundary and D seems to be a Transform Boundary.
Explanation:
FLVS Science 7
Can you give be brainliest please? It took me a while to think of this answer.
A force of 16 N to the west is applied to each object below. Which object will
undergo the greatest change in momentum?
A. A 41 kg object that is moving east at 5 m/s
B. A 41 kg object that is moving east at 10 m/s
C. A 44 kg object that is moving east at 10 m/s
D. A 44 kg object that is moving east at 5 m/s
41kg object that is moving east at 5 m s
Answer:
41kg object that is moving east at 5 m s
Explanation:
GIVING BRAINLIEST TO THE RIGHT ANSWER examine the information for the two samples described in the chart. How are zinc and sodium alike?
A. They have the same hardness at room temperature.
B. They are both dolids at room temperature.
C. They have the same color.
D. They have the same boiling point.
Children are ready for more complex storybooks:
Around one.
Around two.
Around two and a half to three years old.
Around three.
Around four years old.
Answer:
4
Explanation:
Because that is when they're mind learns how to read
The Young’s modulus for steel is 2.0 x 10 11 N/m 2 and the interatomic spacing is 2.6A . Find the increase in inter atomic spacing, when a steel wire is subjected to a stress of 5 x 10 9 N/m
Answer:
Increase in Atomic Spacing = 6.5 x 10⁻¹² m = 6.5 pm
Explanation:
The young's modulus of a material is given by the following formula:
Young's Modulus = Stress/Strain
2 x 10¹¹ N/m² = (5 x 10⁹ N/m²)/Strain
Strain = (5 x 10⁹ N/m²)/(2 x 10¹¹ N/m²)
Strain = 0.025
Now, the formula for the strain in the steel wire can be written in terms of atomic spacing as follows:
Strain = Increase in Atomic Spacing/Initial Atomic Spacing
0.025 = Increase in Atomic Spacing/2.6 °A
Increase in Atomic Spacing = (0.025)(2.6 x 10⁻¹⁰ m)
Increase in Atomic Spacing = 6.5 x 10⁻¹² m = 6.5 pm
A tablecloth can be pulled out from underneath a fully set table without breaking plates or glassware. The reason is that the objects follow Newton's:
Answer:
newtons law of force
newtons law of force explains that something may or can or canot move depending on the objexts mass.
You leave Chicago, Illinois at 8am and fly to Portland, Oregon. Your flight takes 2.5 hours. What time do you arrive in Portland?
Answer:
10:30am ........................
Answer:
maybe around 10:30 I would say
Car 1 of mass m1 is waiting at a traffic light.
Car 1 is struck from behind by Car 2 of mass m2.
The two cars stick together after the collision.
Car 2 was traveling at v2i = 30.0 m/s before the collision.
What is the initial kinetic energy, in [J], of car 1, if m1= 2500kg?
Answer: KE= 1/2 m v^2
KE= 1/2 2500 (0)^2
KE= 0
Explanation: since initial velocity is 0, the KE is 0.
The initial kinetic energy, in [J], of car 1 is 0.
KE= 1/2 m v^2
KE= 1/2 2500 (0)^2
KE= 0
What is kinetic energy?Kinetic energy is a form of energy that an object or a particle has by means of reason of its movement. If paintings, which transfer strength, are carried out on an object via making use of an internet pressure, the object hastens and thereby gains kinetic energy.
What's the initial and very last kinetic strength?The kinetic strength of an object depends on its velocity. To trade its pace, one must exert pressure on it. It turns out there's a connection between the pressure one applies to an object and the resulting change in its kinetic electricity: KE(very last) - KE(initial) = (force) (distance)
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tell me something stupidbthe stupidest one gets brainliest
Why are many adults and youth in the United states overweight?
Answer:
I'd imagine fast food is a lot more popular than most countries over there and easier to get hold of.
Explanation:
america
Answer:
There are different answers to that, like if you read a passage or something.
Explanation:
These days many people do not get exercise. A lot of jobs are now done indoors and do not require any physical activities. Technology is becoming more advanced and many people prefer using machines to do the heaving lifting.
There are a lot of fast-food restaurants and this is where a lot of people in the US choose to eat. The food is cheap and easy to pick up. This food is convenient for people on the go. The food is not healthy and it causes weight gain.
In the US, many young children find it cool to smoke. Smoking decreases the body's strength and it causes a decrease in physical health, causing people to gain weight.
Everyone has a phone these days, if not some kind of electronic device to chat with people or play games. Over time, playing on electronic devices replaces doing physical activities.
Which refers to the rate of change in velocity?
speed
O acceleration
O direction
O magnitude
Can someone define 'work' for me please? I looked it up but there are a lot of different answers.
Answer:
Work- Activity involving mental or physical effort done in order to achieve a purpose or result.
Explanation:
This was the first definition from the dictionary on google :)
How is power calculates
Answer:
Explanation:
Power is a measure of the amount of work that can be done in a given amount of time. Power equals work (J) divided by time (s). The SI unit for power is the watt (W), which equals 1 joule of work per second (J/s). Power may be measured in a unit called the horsepower.
How much does a 200 kg car weigh?
Answer:
42,000 lbs
Explanation:
100 kg is 210 lbs.
200 x 210 lbs =
42,000 lbs
The weight of the car is product of its mass and acceleration due to gravity of earth. Hence, the weight of the 200 kg car is 1960 N.
What is acceleration due to gravity ?The gravitational force of an object is the force by which attracts other objects into its center of mass. Earth attracts every objects into its center and that is why we are all standing on the ground.
The weight we experience on earth is due to this gravitational force and it decreases when we move far from earth. The acceleration due to gravity is the acceleration by which an object accelerates downwards due to earth's gravity (g).
Weight of an object = mass × g
g for earth = 9.8 m/s²
mass of the car = 200 Kg.
then, weight = 200 kg × 9.8 m/s² = 1960 N.
Therefore, the weight of the car is 1960 N.
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