Answer:
1) The angle of projection of the ball is approximately 52.496° above the horizontal
2) The velocity with which the boy throws the ball to enable him accomplish his desire is approximately 14.769 m/s
Explanation:
In the projectile motion of the ball, the parameters are;
The distance the boy stands from the front of the house = 5 m
The depth of the house, front to back = 6 m
The height of the opening of the front window above him = 5 m
The height of the back window = 2 m higher than the front window
Therefore, the height of the back window = 5 m + 2 m = 7 m
1) The general formula for the vertical height of a parabolic projectile motion is given as follows;
y = a·x² + b·x + c
At y = 0, x = 0, therefore, c = 0
At y = 5, x = 5, we have;
5 = a·5² + b·5
∴ 5 = 25·a + 5·b...(1)
At y = 7, x = 11, we have;
7 = a·11² + b·11
7 = 121·a + 11·b...(2)
Making 'a' the subject of equation (1) and (2) and equating both values of 'a' gives;
For equation (1);
a = (5 - 5·b)/25 = 1/5 - b/5
a = 1/5 - b/5
For equation (2);
a = (7 - 11·b)/121 = 7/121 - b/11
a = 7/121 - b/11
∴ 1/5 - b/5 = 7/121 - b/11
1/5 - 7/121 = b/5 - b/11
86/605 = 6·b/55
b = (86/605) × (55/6) = 43/33
b = 43/33
a = 1/5 - b/5 = 1/5 - (43/33)/5 = -2/33
∴ y = (-2/33)·x² + (43/33)·x
The slope of the curve = dy/dx = d((-2/33)·x² + (43/33)·x)/dx = -4/33·x + 43/33
The slope of the curve at any point on the projectile = -4/33·x + 43/33
The slope at the origin is given by plugging x = 0 as follows
The slope at the origin = -4/33 × 0 + 43/33 = 43/33
The slope at the origin = tan(θ) = 43/33
Where;
θ = The angle of projection of the ball
∴ θ = arctan(43/33) ≈ 52.496°
The angle of projection of the ball, θ ≈ 52.496° above the horizontal
2) At the back widow, the equation for the vertical height, 'h', is given as follows;
[tex]h = (tan \angle \theta) \cdot x - \left(\dfrac{g}{2 \cdot v_1^2 \cdot cos^2 \angle \theta } \right )\cdot x^2[/tex]
Where;
h = The vertical height of the back window = 7 m
tan∠θ = 43/33
x = The horizontal distance of the back window from the boy = 5 m + 6 m = 11 m
g = The acceleration due to gravity = 9.8 m/s²
v₁ = The velocity with which the boy throws the ball
cos²∠θ = cos²(arctan(43/33)) = 1089/2938
Plugging in the values gives;
[tex]7 = \left (\dfrac{43}{33} \right) \times 11 - \left(\dfrac{9.8}{2 \cdot v_1^2 \cdot \dfrac{1089}{2938} } \right )\cdot 11^2[/tex]
[tex]\therefore v_1^2 = \dfrac{71981}{330}[/tex]
[tex]\therefore v_1 = \sqrt{\dfrac{71981}{330}} \approx \pm14.769[/tex]
The velocity with which the boy throws the ball to enable him accomplish his desire, v₁ ≈ 14.769 m/s.
How do we know when an object is in static or dynamic equilibrium?
Answer:
First Condition of Equilibrium
Explanation:
This means that both the net force and the net torque on the object must be zero. The condition Fnet=0 F net = 0 must be true for both static equilibrium, where the object's velocity is zero, and dynamic equilibrium, where the object is moving at a constant velocity.The sum of the forces on it in each direction is zero. The sum of the torques on it in each direction is zero. Its linear momentum is zero.Hey can someone please help answer this question?
A child rides near the edge of a merry-go-round that rotates on a frictionless axis. If the child walks
toward the center of the merry-go-round, will the angular momentum change if a) the child is the
system? b) the system is the child-merry-go-round
Wouldn’t the two be the same? Because it is simply speaking about the child’s angular momentum?
Answer:
yes ............................................ks
Explanation: is good
definition of angle of incidence
A human cannonball act uses springy bungee cords instead of gunpowder to launch a person through a long cylindrical tube into the air. If a cannon is capable of launching a 55 kg test dummy 11 m into the air when launched straight up, how much energy is stored in the bungee cords? *
A. 539J
B. 605 J
C. 2965J
D. 5929 J
Answer:
Energy stored, E = 5929 J
Explanation:
Given that,
The mass of a test dummy, m = 55 kg
It is launched 11 m into the air.
We need to find the energy stored in the bungee cords. It can be calculated as follows :
[tex]E=mgh\\\\E=55\times 9.8\times 11\\\\E=5929\ J[/tex]
So, 5929 J of energy is stored in the bungee cords.
4. Premature wrinkling due to overexposure to the Sun, what am I?
Premature Aging
Mark as brainlist
Which of the following shows a balanced nuclear reaction?
Answer:
No. 2
Explanation:
The balanced nuclear reaction is shown by the following: ²³⁷₉₃ Np[tex]\rightarrow[/tex]⁴ ₂He +²³³₉₅ Am nuclear fission reaction.
What are nuclear reactions?There are two types of nuclear reactions which are nuclear fusion and nuclear fission .They involve the combination and disintegration of the element's nucleus respectively.
In nuclear fission, the nucleus of the atom is bombarded with electrons of low energy which splits the nucleus in to two parts .Large amount of energy is released in the process.It is used in nuclear power reactors as it produces large amount of energy.
In nuclear fusion,on the other hand, is a reaction which occurs when two or more atoms combine to form a heavy nucleus.Large amount of energy is released in the process which is greater than that of the energy which is released in nuclear fission process.
Learn more about nuclear reactions,here:
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What is the man’s weight on Mars where the acceleration due to gravity is 3.7 m/s2?
Answer:
8.14n in mars
Explanation:
gravitational
what are the different benefit of walking?
Answer:
U can walk to the bathroom
Explanation:
Whatb19 ÷117= some help me with this
Answer:
0.16239316239316239316239
Explanation:
ang haba nang solve ko dito hehe
Anyone able to help with these questions, will give brainliest to first correct anwser
Answer:
b
Explanation:
I did this question earlier
So if any of ya got like, screenshots of all the answers for Edge, 2020. Lab-Kinetic Energy-student guide, That would be really helpful. If you could help me, then I will mark you brainliest. And for you trollers out there who just want the points, could you not steal them for this one? Anyways, thanks ya'll!
Answer:
has any one finished the lab yet?????
Explanation:
State the Law of Electric Charges in your own words.
[tex] \\ [/tex]
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.
Things that are negatively charged and things that are positively charged pull on (attract) each other. This makes electrons and protons stick together to form atoms. Things that have the same charge push each other away (they repel each other). This is called the Law of Charges.
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Hope It Helps!
The speed of a 1200 kg car increases from 5 to 29 m/s in 12 s.
What force accelerated the car?
Answer:I think I’m not sure But I think that the force that would be accurated the car would be friction or something like that and to solve the equation you would do f/m
Explanation:
It just makes sense
what is aerobic activities
Answer:
Aerobic exercise is any type of cardiovascular conditioning. It can include activities like brisk walking, swimming, running, or cycling. You probably know it as “cardio.”
By definition, aerobic exercise means “with oxygen.” Your breathing and heart rate will increase during aerobic activities. Aerobic exercise helps keep your heart, lungs, and circulatory system healthy.
Aerobic exercise differs from anaerobic exercise. Anaerobic exercises, such as weightlifting or sprinting, involve quick bursts of energy. They’re performed at maximum effort for a short time. This is unlike aerobic exercises. You perform aerobic exercises for a sustained period of time.
Explanation:
Aerobic exercise is physical exercise of low to high intensity that depends primarily on the aerobic energy-generating process. "Aerobic" is defined as "relating to, involving, or requiring free oxygen", and refers to the use of oxygen to adequately meet energy demands during exercise via aerobic metabolism
1. If you were the organizer of this dance event, are you favor in moving the date on May? Why
or why not?
Answer:
I am in favor of the dance event being in may. Because it is nice weather outside, more people will decide to come and spend their time there. It is also light in the evening in may, meaning that you could have the dance event at any time, and younger people will still feel safe at night, meaning their parents will be more open to lwtting kids go.
2. a) A student obtained ice at 0°C from a refrigerator and placed it in a beaker on a
bench. After 4 minutes, the temperature rose to 4°C. State the changes that would be observed in the water in terms of;
(i) volume
(ii) mass
(iii) density
(b) Sketch a graph of density against temperature if the ice is warmed from 0°C to
8°C.
Answer:
2 4
Explanation:
because
Between steel and iron which is more suitable for making permanent magnets electromagnet and magnetic screen give reason for your answer
Answer:
steel is suitable for making permanent magnet
as still has hi factor coercity.
iron is for electromagnet and magnetic screen as iron loses its magnetism as soon as the switch is open and a current is switched off.
Steel is better suitable for making permanent magnets than soft iron since it has higher retentivity and lower coercivity. Compared to soft iron, steel has a lower retentivity and higher coercivity. Compared to soft iron, steel is more resilient and coercive.
What is retentivity and coercivity ?Retentivity : The ability to retain the generated magnetization in a magnetic material when the magnetizing force is removedCoercivity : A measure of the ability of a material to withstand an external magnetic field without becoming demagnetized.What is Permanent magnet and Electromagnet?Permanent magnet : To be suitable for permanent magnet, material should retain its magnetism for longer time, since steel have high retentivity and coercivity . Electromagnet : To be suitable for electromagnet , material should have magnetization and demagnetizing property .
Since , steels have high remanence which means it will remain magnetized even after magnetic field is removed which is not suitable for electromagnetic . iron has high permeability so magnetization is larger and have low retentivity so that material will not retain the magnetic properties . Magnetic screen , Iron has high permeability hence it can shield better than steel
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Displacement a combination of
Answer:
Displacement a combination of distance
Explanation:
I'm not sure eh
Calculate the volume of this regular solid.
A cone 4.5 centimeters high with a radius of 3 centimeters. Label B is pointing to the circular base of the cone.
What is the volume of the cone?
Use the button on your calculator to complete this problem.
Round at the end to the nearest hundredth.
Answer:
42.41
Explanation:
A scientist heats a red powder. Upon heating, a liquid and a gas form.
Which type of substance is the red powder?
O A. anion
B. an isotope
O c. an element
O D. a compound
Answer:
Compound
Explanation:
Example 4:
Find the index of refraction for diamond if the speed of light in diamond is 1.24 x 10m/s
Use the proper FORMAT
Answer:
Given speed of light in diamond =1.24*10m/s
speed of light (c) =3*10^8m/s
refractive index of diamond =3*10^8/1.24*10=2.41*10^7m/s
1/2 means that the voltage (or charge) of the system will increase to half more of what is left in a time equal to t1/2 seconds. Therefore if a system is already at half charge (t1/2 seconds after starting) then after t1/2 more seconds the system will be charged to 50% plus half of 50%. That is 25% more, or 75% of the entire charge. Let's say that four t1/2's have gone by. That means that the charge (or voltage) is at (50% + 1/2*50% + 1/2*1/2*50% + 1/2*1/2*1/2*50%) = 93.75% of maximum charge. Yikes! Now look in your manual for a more simple mathematical derivation of this concept. Given t1/2 to be 0.4406 seconds, how long should it take to reach 75% of maximum charge? answer in seconds.
Answer:
The answer is "0.047".
Explanation:
Given value:
[tex]\to t_{\frac{1}{2}}= 0.4406\\\\\to V=0.9375 V_{max}[/tex]
Calculating the capacitance:
[tex]\to V=V_{max} (1-e^{\frac{-t}{Rc}})[/tex]
In this, the t = time, which is taken to calculates its maximum voltage.
[tex]\to 0.9375 V_{max} = V_{max}(1-e^{- \frac{t}{103\times(165.279\times10^{-6})}})\\\\\to e^{- \frac{t}{103\times(165.279\times10^{-6})}}= 0.0625\\\\\to - \frac{t}{103\times(165.279\times10^{-6})} = \ln(0.0625)\\\\\to -t= 0.01702\times(-2.77258) \\\\ \to -t = -0.04719 \\\\ \to t= 0.04719 \approx 0.047 \ s[/tex]
Can someone help me answer this question what type of rock will form in this type of environment. Pls don’t guess and actually answer it
Answer:
Looks like A but I'm not sure.
Explanation:
dont take my word for it I might be wrong
Answer:
deforestación en el mundo es incontrolable
Energy in an ecosystem's energy pyramid always flows from __________.
A. decomposers to producers
B. producers to consumers
C. consumers to producers
D. decomposers to consumers
The Answer is B because primary consumers need to get their food from plants.
Answer:
The Answer is B because primary consumers need to get their food from plants
Explanation:
please help me guys please please please please please please please please please please please please please
Answer:
1.F = 256 N
2.a = 8 m/s/s
By looking at the given information, you know force, and an acceleration. Therefore you have enough information to use the first formula.
F = ma
256 N = m * 8 m/s/s
m = 256 N/8 m/s/s
m = 32 Kg
Does the mass of the objects you are charging influence the amount of electric force created in an electric field?
Explanation:
Both gravitational and electric forces decrease with the square of the distance between the objects, and both forces act along a line between them. In Coulomb's law, however, the magnitude and sign of the electric force are determined by the electric charge, rather than the mass, of an object.
A protein-digesting enzyme when mixed with starch solution would
Answer:
It would produce fat..........
Brad has three beakers of water. Each beaker contains 500 mL of water. The temperature of the water in the first beaker is 40°C. The water in the second beaker is at 100°C, and the water in the third beaker is at 60°C. As part of a lab experiment he will carefully combine the water in all three beakers. He predicts that the combined water will have a final temperature of 50°C.
Evaluate Brad’s claim and clearly state whether he is correct or not. Explain your answer to support your evaluation.
Explanation:
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1. What is the velocity of an 250-kg that has 6,250 J of energy?
Please help
Explanation:
KE = 1/2mv^2
6,250 J =1/2(250kg) v ^2
6250 J = 125kgv^2
125kg. 125kg
v =
[tex] \sqrt{50} [/tex]
Anita rides a bicycle to market 60km from her house in 3.5 hours. What is Anita’s
speed?