A soccer player takes a free kick from a spot that is 26m from the goal. The ball leaves his foot at an angle of 26˚, and it eventually hits the crossbar of the goal, which is 2.4m from the ground
At what speed did the ball leave his foot?
The speed of the ball when it left his foot is 11.13 m/s.
What is the motion of the projectile?A projectile is an object that is launched or projected into the air and is only subject to the acceleration of gravity. Projectile and trajectory both refer to the same thing: an object.
The given parameters;
distance of the goal, d = 26 m
angle of projection of the ball, = 26°
height of the cross bar, H = 2.4 m
The speed of the projectile will be calculated by applying the formula for maximum height reached by a projectile;
\(H=U^{2} sin^{2}/2g\)
\(u^{2} =2gh/x=sin^{2}\)
\(u^{2} =2*9.8*2.4/sin^{2} 26\)
\(u^{2} =81.10\) m/s
u=9 m/s
Thus, the speed of the ball when it left his foot is 9 m/s.
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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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Of the three websites you read that weren't trying to sell a product (Wikipedia, American
Pregnancy, and Health Prep), which site did you feel presented the most objective, unbiased
information about cord blood banking? Of all the sites you looked at, which did you feel was least
objective and most biased? Why?
The site that i think feel presented the most objective, unbiased information about cord blood banking is Wikipedia because it tends to give you different opinions or views from different expert in those field.
What is cord blood banking used for?Anyone who needs stem cells, including a member of your close family, can benefit from cord blood banking. Your baby's cord blood contains stem cells. Numerous life-threatening diseases, including cancer, have been found to benefit from the use of stem cells from cord blood.
The following are some drawbacks of cord blood banking: Since there aren't enough stem cells in cord blood, adults who need transplants will need cord blood stem cells from several donors. In a private bank, people must pay a fee to store their cord blood, which could be pricey.
Therefore, the American Medical Association and the American Academy of Pediatrics advise against saving cord blood as a sort of "biological insurance," as the rewards are insufficient to outweigh the disadvantages. Hence i believe Wikipedia gave me varieties of text about the issue.
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1. What is a cast? How is a cast formed?
Answer:
a cast is something that holds a item in place weather it be a iron sword or a broken arm. a cast is made by hollowing out the inside and placing your item in it.
Explanation:
WILL GIVE BRAINLIST ANSWER Read about early warning systems and use the topographic map and road map of Virginia to answer the following questions. A hurricane watch for a category five storm has been issued for the coast of Virginia.
What natural disasters could be associated with this storm in coastal regions?
What would be the best emergency action plan?
What would be a safe evacuation route if needed?
Answer:
What natural disasters could be associated with this storm in coastal regions?
• wave surges
• tides and tsunami.
What would be the best emergency action plan?
• Evacuation of the current residents.
What would be a safe evacuation route if needed?
• in the attachment
Answer:
Natural disasters that could be associated with this storm in coastal regions could include wave surges, tides, and tsunamis. The best emergency action plan under these circumstances would be the evacuation of residents in the at risk areas. The best evacuation routes depend on where residents and/or tourists are coming from. Residents north of I-164 should take 1-64 West, toward Richmond. Residents south of I-264 and oceanfront residents/tourists should take I-264 to 1-64 East, toward Suffolk.
Explanation:
Given a material of specific heat c in Cal/gramC^o and mass 5 grams. If the material is heated from a temperature of 10 C^o to a temperature of 37 C^o then which of these expressions yields the amount of heat added to the material in calories? A)5 times c times (37 - 10) B)5 divided by c times (37 - 10) C)5 times c divided by (37 times 10)
Given:
The specific heat of the material is c Cal/(gram°C)
The mass of the material, m=5 g
The initial temperature of the material, T₁=10 °C
The final temperature of the material, T₂=37 °C
To find:
The expression for the amount of heat added to the material.
Explanation:
The specific heat of a material is the heat required to raise the temperature of the unit mass of the material by one degree celcius.
From the equation of specific heat, the amount of the heat added to a material is given by,
\(\begin{gathered} Q=mc\Delta T \\ =mc(T_2-T_1) \end{gathered}\)On substituting the known values,
\(Q=5\times c\times(37-10)\text{ calories}\)Final answer:
Thus the correct answer is option A.
Wraps may be worn in the Raw Division on the wrists, elbows and knees in all lifts. True False
The statement "Wraps may be worn in the Raw Division on the wrists, elbows, and knees in all lifts" is True.
In powerlifting competitions, athletes are classified into different divisions, with the Raw Division being one of them. In this division, athletes are not allowed to wear supportive equipment like knee wraps, bench shirts, and squat suits. However, they are allowed to wear wrist wraps, elbow sleeves, and knee sleeves.
These supportive gears are meant to provide extra support to the joints during heavy lifts, and the use of them can aid in the prevention of injuries. Wrist wraps can help support the wrists during heavy pressing movements like bench presses and overhead presses. Knee sleeves and elbow sleeves can help keep the joints warm and provide some compression, which can aid in reducing joint pain and swelling.
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a system undergoes a two-step process. in the first step, the internal energy of the system increases by 228 j when 166 j of work is done on the system. in the second step, the internal energy of the system increases by 115 j when 177 j of work is done on the system. for the overall process, find the heat. what type of process is the overall process? explain.
1) Q total = 0J
2) Since there has been no net heat exchange, the entire system is cooling.
From where do we get our energy?In accordance with the U.S. Energy Statistics Management, coal, nuclear power, and natural gas made up the majority of the country's electrical generation in 2020. Renewable energy sources like wind, hydropower, solar, biomass, breezes, and geothermal are also used to generate electricity.
According to the first law of thermodynamics
ΔE = Q - W
where ΔE= change in internal energy , Q = heat and W= work done by the system to the surroundings
in the first step
Q1 = ΔE + W = 228 J + (-166 J) = 62 J
in the second step
Q2 = ΔE + W = 115 J + (- 177 J) = -62J
the total heat is
Q total = Q1 +Q2 = 62 J + (-62J) = 0
since the total heat exchanged is 0, the overall process is a cooling process .
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Why is the global temperature increasing? Explain the science behind it.
What can affect gravity
Helpppppp!!!
Which is the work required to move a charge?
electric field
electric field line
electric potential
electric potential energy
Answer:
electric potential
Explanation:
W=qΔV
Answer:
Electric Potential
Explanation:
I hope this helps you :)
Question 1 of 16
A bowling ball with a mass of 8 kg is moving at a speed of 5 m/s. What is its
kinetic energy?
Answer:
mass energy
Explanation:
because of the kinetic energy
An object moves at a constant velocity, v, for some distance, x. How long has it been in motion?
A. x/v
B. v/x
C. x∗v
D. v/2x
E. None of the above
Answer:
V = m / s correct units for V
x = V * t = m / s * s = m where x is in meters
Thus t = x / V = m / (m / s) = sec
A) has to be the correct equation
note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. the bob of a simple pendulum of length l = 40 in. is released from rest when θ = 5°. Assuming simple harmonic motion, determine the magnitudes of the velocity and acceleration of the bob after the pendulum has been in motion for 1.75 s. The magnitude of the velocity of the bob after the pendulum has been in motion for 1.75 s is __________ ft/s. The magnitude of the acceleration of the bob after the pendulum has been in motion for 1.75 s is __________ ft/s2
The magnitude of the velocity of the bob after the pendulum has been in motion for 1.75 s is 3.25 ft/s. The magnitude of the acceleration of the bob after the pendulum has been in motion for 1.75 s is 33.6 ft/s2.
To determine the magnitudes of the velocity and acceleration of the bob of a simple pendulum after it has been in motion for 1.75 s, we need to use the equations of motion for a simple harmonic oscillator. The general equation for the position of a simple pendulum is given by:
θ(t) = θ0 cos(ωt + φ)
where θ0 is the amplitude of the oscillation, ω is the angular frequency, t is time, and φ is the phase constant.
In this case, we know that the pendulum is released from rest at an angle of 5°, which means that θ0 = 5°. We also know that the length of the pendulum is 40 inches, so we can use the formula for the period of a simple pendulum to find the value of ω:
T = 2π√(l/g)
where T is the period, g is the acceleration due to gravity (32.2 ft/s2), and l is the length of the pendulum. Substituting the given values, we get:
T = 2π√(40/32.2) = 2.14 s
Therefore, the angular frequency is:
ω = 2π/T = 2.94 rad/s
Now we can use the equation for the velocity of the bob at any time t:
v(t) = -ωθ0 sin(ωt + φ)
To find the velocity after 1.75 s, we need to find the value of the phase constant φ. Since the pendulum is released from rest, we know that the velocity is initially zero, which means that φ = 0. Substituting the given values, we get:
v(1.75) = -2.94(5/180) sin(2.94(1.75)) = -3.25 ft/s
Therefore, the magnitude of the velocity of the bob after the pendulum has been in motion for 1.75 s is 3.25 ft/s.
Next, we can use the equation for the acceleration of the bob at any time t:
a(t) = -ω2θ0 cos(ωt + φ)
Substituting the given values, we get:
a(1.75) = -2.942(5/180) cos(2.94(1.75)) = -33.6 ft/s2
Therefore, the magnitude of the acceleration of the bob after the pendulum has been in motion for 1.75 s is 33.6 ft/s2.
The negative sign in the equations for the velocity and acceleration indicates that the bob is moving in the opposite direction of the initial displacement (i.e., towards the equilibrium position). This is because the bob of a simple pendulum oscillates back and forth around the equilibrium position, with the displacement, velocity, and acceleration changing direction at the endpoints of each swing.
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Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. Part (b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder I, and its radius r. Part (c) Express B in terms of J and r. Part (d) For r=0.5 a, calculate the numerical value of B in Tesla. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a and J. Part (f) Express the magnitude of the magnetic field, B, at r>a in terms of I and r. Part (g) Express B in terms of J, a and r. Part (h) For r = 2 a, calculate the numerical value of B in Tesla.
Part (a) When r is less than a, the current inside the imaginary cylinder I can be expressed as I = J * pi * r^2, where r is the radius of the cylinder and J is the current density.
Part (b) Using Ampere's law, the magnitude of the magnetic field B at r can be expressed as B = (μ₀ * I) / (2 * pi * r), where μ₀ is the permeability of free space.
Part (c) Substituting the expression for I from part (a), we get B = (μ₀ * J * pi * r^2) / (2 * pi * r), which simplifies to B = (μ₀ * J * r) / 2.
Part (d) To calculate the numerical value of B in Tesla, we need the values for μ₀, J, and a. Please provide these values to calculate B for r = 0.5a.
Part (e) When r is greater than a, the current inside the imaginary cylinder can be expressed as I = J * pi * a^2, since the entire cross-sectional area of the conductor is now enclosed by the cylinder.
Part (f) Using the expression for B from part (b), we have B = (μ₀ * I) / (2 * pi * r), with I from part (e) as J * pi * a^2.
Part (g) Substituting the expression for I from part (e), we get B = (μ₀ * J * pi * a^2) / (2 * pi * r), which simplifies to B = (μ₀ * J * a^2) / (2 * r).
Part (h) To calculate the numerical value of B in Tesla for r = 2a, we again need the values for μ₀ and J. Please provide these values to calculate B.
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New problem. suppose we have two positively charged particles a distance of 2 m apart from
each other. particle 1 has a charge of 3 c and particle 2 has a charge of 1.3 x 10^3 c. what
amount of electrostatic force exists between these two particles?
8.7 x 10^12 n
3.51 x 10^13 n
1.3 x 10^3 n
Answer:
The force between two charged particles can be calculated using Coulomb's law, which states:
F = k * |q1*q2| / r^2
where:
F is the force between the charges,
q1 and q2 are the magnitudes of the charges,
r is the distance between the charges, and
k is Coulomb's constant, approximately 8.99 x 10^9 N m^2/C^2.
Given the charges q1 = 3C and q2 = 1.3 x 10^3 C, and the distance r = 2m, we can plug these values into the formula:
F = 8.99 x 10^9 N m^2/C^2 * |3C * 1.3 x 10^3 C| / (2m)^2
= 8.99 x 10^9 N m^2/C^2 * 3.9 x 10^3 C^2 / 4 m^2
= 8.99 x 10^9 N m^2/C^2 * 9.75 x 10^2 C^2 / m^2
= 8.74 x 10^12 N
Therefore, the amount of electrostatic force that exists between these two particles is approximately 8.74 x 10^12 N. The closest option to this calculation is 8.7 x 10^12 N, which might be due to rounding or significant figures.
PLEASE EXPLAIN IN TWO PARAGRAPHS (A PARAGRAPH IS 4-5 SENTENCES) SOME HEALTHFUL TIPS THAT CAN HELP PREVENT YOU FROM GETTING PHYSICAL FITNESS INJURIES.
Answer:
A workout injury can happen to anyone, no matter your experience or fitness level. People hurt themselves in all kinds of ways when they work out. Even walking can cause an injury. But you can significantly cut your risk of getting hurt by following certain workout precautions. There are simple steps that can help keep you injury-free during your workout.
Every workout should begin with a warm-up and end with a cool-down period. A warm-up helps your body get ready for exercise. It gradually increases your heart rate and loosens your muscles and joints. Cool-down after you work out so, it brings your heart rate back to normal. Walking for 5 to 10 minutes after you work out is one way to cool down. Do dynamic stretching before and after you work out. This will help increase flexibility. Don't push yourself too hard. As your fitness abilities increase and you will be able to challenge yourself more.
Hope this helps
Maintaining physical fitness is very important in today's world. Each and everyone should be involved in physical fitness.nowaday people are so busy with their work that they have forgotten health is wealth.
Even if we get engaged in physical fitness activity we can some time get insuries . some of tips that can help prevent from getting physical fitness injury, warm up exercises should be done before exercise to avoid muscle strength.safety precautions should be taken if you are dealing with heavy objects .
hence we should maintain physical fitness with getting rid of injury that may occur
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with what speed will the ball hit the floor? express the speed in terms of k, s, m, g, y, and/or h.
We can calculate by using conservation of energy the speed of ball is √ks² / m - 2 gy.
What is conservation of energy?Conservation of energy is defined as a physics principle that states that in a closed system, the energy of interacting things or particles stays constant. Energy cannot be created or destroyed, according to the law of conservation of energy.
According to law of conservation of energy
1/2 ks² + mgH = mg(H + y) + 1/2 mv²
On solving v
1/2 mv² = 1/2 ks² + mgH - mg(H + y)
1/2 mv² = 1/2 ks² + mgy
v² = ks² / m - 2gy
v = √ks² / m - 2 gy
Thus, we can calculate by using conservation of energy the speed of ball is √ks² / m - 2 gy.
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When two or more capacitors are connected in parallel across a potential difference?.
Explanation:
1. the potential difference of each capacitors is the same.
PLS HELP ME I'LL GIVE BRAINLIEST
A bug crashes into a high-speed bus. The force experienced by the bug is equal to (less than, equal to, greater than) the force experienced by the bus. The resulting acceleration of the bug is ____________ (less than, equal to, greater than) the resulting acceleration of the bus.
Answer:
equal to
i hope this helps
Calculate the force of gravity on a 1.2 × 10 5 kg space station at a distance of 3.5 × 10 5 m from the earth surface.
The force of gravity on the space station is 1.96 × 10⁴ N.
The Formula to calculate the force of gravity is given by:
Force = G * m1 * m2 / r^2
Here,
F is the force of gravity
G is the gravitational constant
m1 is the mass of the first object
m2 is the mass of the second object
r is the distance between the centers of the two objects
G = (6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻²)
m1 = (1.2 × 10⁵ kg × 5.97 × 10²⁴ kg)
m2 = (5.97 × 10^24 kg)
r = 3.5 × 10⁵ m
Substituting the values in the above-given formula, we have:
F = 6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻² × 1.2 × 10⁵ kg × 5.97 × 10²⁴ kg / (3.5 × 10⁵ m)² = 3.61 × 10¹⁵ N
F = 1.96 × 10⁴ N
Therefore, the force of gravity on the space station is 1.96 × 10⁴ N.
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Using the information in the introduction, complete a simple circuit and sketch it below, labeling each individual component according to its value as verified by the multimeter. (The instructor may want a picture of the circuit and multimeter readings.).
The circuit consists of two main components, a 9V battery and a 100Ω resistor.
What is component?A component is a part or element of a larger system. In computing, components are pieces of software that have a well-defined interface and provide a specific service or function. Components are often modular, meaning they can be reused in different applications or systems. They are also meant to be extensible, making it easier to add additional features or modify existing ones.
The circuit is sketched below, with the 9V battery connected to the resistor, and the resistor connected back to the negative terminal of the battery. The multimeter is used to verify the values of the components, with the battery voltage being measured at 9V and the resistor resistance being measured at 100Ω.
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A machine used 20 J of energy to make a
bicycle start. However, 6 J of energy was
wasted as heat. What is the percentage
efficiency of the machine?
a 30%
b 75%
C 70%
d 60%
Answer:
a. 30%
Explanation:
Given the following data;
Energy as effort, Ee = 20 J
Energy as heat, Eh = 6 J
To find the percentage efficiency (P.E);
P.E = Eh/Ee * 100
Substituting into the formula, we have;
P.E = 6/20 * 100
P.E = 6 * 5
P.E = 30 %
Therefore, the percentage efficiency of the machine is 30 %.
What are some core features of waves in physics?
Answer:
Waves are disorders that travel through a fluid medium. Several simple wave features include frequency, period, wavelength, and amplitude.
Explanation:
If the activity of a source is 70 Bq after 2 years, and 35 Bq after 15 years. How long will be until the activity is 8.75 Bq?
Answer:
The SI unit for activity is one decay per second and is given the name becquerel (Bq) in honor of the discoverer of radioactivity. That is, 1 Bq = 1 decay/s. Activity R is often expressed in other units, such as decays per minute or decays per year.
Define one metre length.
Answer:
The metre is currently defined as the length of the path travelled by light in a vacuum in 1299 792 458 of a second
If it take you 5 seconds to ride a skateboard down a hill that is 20m long, what is you speed
A) 15m/s
B) 75m/s
C) 4m/s
D) 100m/s
Answer:
My speed is 4 m/s
Explanation:
\(V=\frac{d}{t}=\frac{20m}{5s} =4\frac{m}{s}\)
How do you find the range of a data set?
A. Subtract the smallest value from the largest value
B. Add the largest value to the smallest value
C. Add all the data values together
D. Subtract the smallest value from the average value
SUBMIT
The answer is A.
The answer is A.
The answer is A.
Which of these substances contains a compound made up of 3 different types of atom?
Answer: E
Explanation:
Each colored ball represents an atom. We are looking for a molecule (collection of bonded atoms) with 3 types of atoms. So we are looking for a molecule with 3 colors attached. E had red, blue, and yellow, and is the correct answer.
D is incorrect because while there are 3 atoms present, not all three are bonded.
A projectile has an initial x-velocity of 4 m/s, and an initial y-velocity of 27.7 m/s. What is the range of the projectile
Answer:
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