The problem involves the principles of projectile motion. The ball thrown upward reaches its peak in 2.5 seconds. The ball dropped from the building cover 15 meters in about 1.75 seconds. Therefore, after the peak, the first ball will take an additional 0.75 second to descend to the point where both balls are at the same height, about 3.25 seconds from the start.
Explanation:This physics problem involves applying the principles of projectile motion. We start by calculating the time it takes for the ball thrown upward to reach its peak. Since acceleration acting against the motion of the first ball is gravity (9.8 m/s²), using the formula final velocity = initial velocity - (acceleration* time), and since the final upward velocity at the top is 0, we calculate the time it takes the throw up ball to peak as 2.5 seconds (0 = 25m/s - 9.8m/s² * t).
Next, we calculate the time it takes for a ball to fall 15m from rest (assume the drop from the building begins from rest). We use the formula h = 0.5*g*t² which we rearrange to solve for time, yielding t=√(2h/g). Using this formula with h = 15m, we get t ≈ 1.75 seconds.
Therefore, the ball thrown upwards must start to descend after reaching peak so that both balls meet at the same height. Subtracting the two times, we get 2.5 seconds - 1.75 seconds = 0.75 second. Ball 1 will take 0.75 seconds to descend so that both balls reach the same height at the same instance. So, after approximately 3.25 seconds from the start of projectile motion, the two balls will be at the same height.
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An object of mass 0.5 kg is swung in uniform circular motion. The radius is 2 meters, and the force exerted is 4 N. Calculate the magnitude of the velocity.
The magnitude of the velocity swung in uniform circular motion is equal 4 m/s.
Given the following data:
Mass of object = 0.5 kgRadius = 2 metersForce = 4 NewtonTo calculate the magnitude of the velocity:
Mathematically, centripetal force is given by the formula:
[tex]F_c = \frac{mv^2}{r}[/tex]
Making v the subject of formula, we have:
[tex]V = \sqrt{\frac{F_c r}{m} }[/tex]
Substituting the parameters into the formula, we have;
[tex]V = \sqrt{\frac{4 \times 2}{0.5} }\\\\V = \sqrt{\frac{8}{0.5} }\\\\V =\sqrt{16}[/tex]
V = 4 m/s
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A certain car is accelerating at 5.0 km/h/s. Explain what is happening to the motion of the car.
Which method will correctly determine whether the forces on an object are balanced or unbalanced?
Add the forces in the horizontal direction to the forces in the vertical direction.
Add the forces in the horizontal and vertical directions separately.
Subtract the forces in the horizontal direction from the forces in the vertical direction.
Subtract the forces in the vertical direction from the forces in the horizontal direction.
Which of the following is an accurate statement?
A. AC Generators produce current that is pulsating, but always remains positive.
B. Step-down voltage transformers have a different number of turns in the primary than in the secondary winding, so they change the incoming voltage to a higher voltage.
C. DC Generators produce current with a voltage that changes from positive to negative.
D. Step-up voltage transformers have a lower number of turns in the primary than in the secondary winding.
Steel has a density of 7.8 g/cm3. what is the mass of a block of steel with a volume of 600.0 cm3?
The mass of a steel block with a volume of 600.0 cm3 and a density of 7.8 g/cm3 is 4680 grams, or 4.68 kilograms.
To calculate the mass of a block of steel given its density and volume, you use the formula mass = density imes volume. Since the density of steel is given as 7.8 g/cm3 and the volume of the block is 600.0 cm3, you can find the mass by multiplying these two numbers together. Therefore, the mass of the steel block is 7.8 g/cm3 imes 600.0 cm3 = 4680 grams or 4.68 kilograms when converted to kilograms.
Turquoise is what types of rocks sedimentary, metamorphic or igneous
4. Which statement best describes the movement of particles when a wave travels through a medium? The particles are (10 points)
A. moved along in a forward motion with the wave as it travels through the medium.
B.gathered by the energy of the wave and move along in the direction of the wave.
C. permanently displaced in a direction opposite to the direction of the wave.
D.temporarily displaced and return to their normal position when the wave passes.
Answer:
D.temporarily displaced and return to their normal position when the wave passes.
Explanation:
When a wave propagates in a medium, it does going through the particles that exist in that space.
Those are altered by the wave that crosses them but, that phenomenon only lasts the time takes to pass through, then the particles return to their natural state.
In order for psychologists to be able to offer patient care, they must be __________.
A.
good
B.
caring
C.
licensed
D.
smart
Which subatomic particle is electrically neutral and found in the nucleus of an atom? proton neutron electron orbital nucleus?
Answer:
Neutron
Explanation:
Neutron is an electrically neutral subatomic particle found in the nucleus of an atom.
Protron is an electrically positive subatomic particle found in the nucleus of an atom.
Electron is an electrically negative subatomic particle found in the orbital of an atom.
The cooling effect inside a refrigerator is produced by
Discuss the properties of a scalar quantity. give an example of a scalar.
Answer:
A physical quantity which is described completely by its magnitude only, is called a scalar quantity.
Examples- Velocity ,Temperature, Speed
Properties
Scalar quantity does not have directions.It has magnitude onlyIt does not have directionIt is specified by a number and a unitIt is represented by quantity symbolWhen ethane (c2h6) reacts with chlorine (cl2) the main product is c2h5cl; but other products containing cl (chlorine), such as c2h4cl2, are also obtained in small quantities. the formation of these other products reduces the yield of c2h5cl. in a certain experiment 145 g of c2h6 reacts with 215 g of cl2. (a) assuming that c2h6 and cl2 react only to form c2h5cl and hcl, calculate the theoretical yield of c2h5cl?
Final answer:
To calculate the theoretical yield of C2H5Cl in the reaction between ethane and chlorine, you need to determine the limiting reactant and use stoichiometry to calculate the yield.
Explanation:
The reaction between ethane (C2H6) and chlorine (Cl2) produces mainly ethyl chloride (C2H5Cl), but other products such as dichloroethane (C2H4Cl2) may also be formed in smaller quantities. These additional products reduce the overall yield of ethyl chloride. To calculate the theoretical yield of C2H5Cl, we first need to determine the limiting reactant. This is done by comparing the stoichiometric ratios of the reactants: C2H6 and Cl2.
The balanced chemical equation for the reaction is:
C2H6 + Cl2 → C2H5Cl + HCl
To calculate the theoretical yield of C2H5Cl, you can use the following steps:
Convert the given masses of C2H6 and Cl2 to moles using their respective molar masses.Determine the mole ratio between C2H6 and C2H5Cl from the balanced equation.Use the mole ratio to calculate the moles of C2H5Cl that can be formed.Convert the moles of C2H5Cl to grams using its molar mass.The resulting value will be the theoretical yield of C2H5Cl.
Through which does light travel best?
Approximating venus's atmosphere as a layer of gas 50 km thick, with uniform density 21 kg/m3, calculate the total mass of the atmosphere.
You throw a ball upward from a window at a speed of 1.5 m/s. how fast will it be moving when it hits the sidewalk 2.6 m below?
You throw a ball upward from a window at a speed of 1.5 m/s. Ball will be moving with velocity when it hits the sidewalk 2.6 m below is 7.3 ms⁻¹.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.
Given in the question,
Initial Velocity (u)= 1.5 ms⁻¹
Final Velocity (v)=?
Acceleration=9.8 ms⁻¹ (remains constant on free fall problems)
Displacement (s)=-2.6 m
v² = u²+2as
v² = (1.5)²+2(-9.8)(-2.6)
v² = 53.21
v = √53.21
v = 7.2945 ≈ 7.3 ms⁻¹
Ball will be moving with velocity when it hits the sidewalk 2.6 m below is 7.3 ms⁻¹.
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The particle moves first along the y axis from the origin to the point (0,6m) and then parallel to the x axis until it reaches (3m,6m). it is subject to a force f⃗ =cxyi^+dj^, where c = 8.0 n/m2 and d = 13 n . calculate the work done by the force. express your answer using two significant figures.
First we calculate the force.
F = 8 *3 * 6 i + 13 j = 144 i + 13 j
F = sqrt (144^2 + 13^2) = 144.59 N
Then calculate the displacement d.
d = sqrt (3^2 + 6^2) = 6.71 m
Work is the produce of force and displacement, therefore:
W = F d = 144.59 N * 6.71 m
W = 970 J
The work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.
How to find work done?Work done is the force applied on a body to move it over a distance. Work done can be calculated with the following formula.
[tex]W=F\times d[/tex]
Here (F) is the magnitude of force and (d) is the distance traveled.
The particle moves first along the y axis from the origin to the point (0,6m) and then parallel to the x axis until it reaches (3m,6m).
The particle is subject to a force,
[tex]\vec F=cxy\hat i+d\hat j[/tex]
Here, c = 8.0 N/m2 and d = 13 N. The final point of the displacement of the particle is (3 m, 6 m).
Put the values of (x,y), c and d to find the value of force.
[tex]\vec F=(8)(3)(6)\hat i+(13)\hat j\\\vec F=144\hat i+13\hat j[/tex]
Solving this equation as,
[tex]F=\sqrt{(144)^2+(13)^2}\\F=144.59\rm\; N[/tex]
The initial position of the particle is at the origin (0, 0) and the final position of the particle is (3 m, 6 m). Thus, the displacement is,
[tex]d=\sqrt{(3-0)^2+(6-0)^2}\\d=6.71\rm\; m[/tex]
The work done will be,
[tex]W=144.59\times(6.71)\\W=970\rm\; J[/tex]
Hence, the work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.
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What best describes the energy in a closed system at the beginning of a day and the energy at the end of the same day? Check all that apply.
Some energy can disappear after it has caused motion.
Some energy can be changed from one form to another.
Some energy can be lost to the environment around the system.
The total initial energy will be equal to the total final energy.
The total initial energy will be greater than the total final energy.
Friction can cause energy to be destroyed during the day.
Friction can cause the amount of thermal energy to increase.
The options which are apply on it;
2. Some energy can be changed from one form to another.
4. The total initial energy will be equal to the total final energy.
7.Friction can cause the amount of thermal energy to increase.
Energy can not be created or destroyed it can only be converted from one form to another.
If you put a straw into a glass of water, the straw looks to be bent, although nothing has really happened to the straw. The term that describes this property of light is
Answer:
Because it is refracting
What properties determine the amount of inertia an object has?
Explain the deeply rooted historical factors that moved america toward independence from britain.
Environmental factors can cause various changes in ecosystems. Which of the following would most likely have the greatest lasting effect on an ecosystem
*100% CORRECT ANSWERS
Question 1
Climate warming trends allow plant and insect species to inhabit larger ranges.
True
Question 2
What is a possible consequence of climate change to species that have a narrow temperature tolerance range?
all of the above
Question 3
Which of the following is not a possible effect of rising carbon dioxide levels on plants?
increased plant mortality
Question 4
How does an early onset of spring through climate change affect plants?
their growing and flowering season starts earlier and is longer
Question 5
Environmental factors can cause various changes in ecosystems. Which of the following would most likely have the greatest lasting effect on an ecosystem?
change to the landscape from construction
Question 6
How does change to an ecosystem that results in succession benefit the ecosystem?
it leads to an increased level of biodiversity
Question 7
How do the benefits of natural change to ecosystems compare to the disadvantages?
the benefits outweigh the disadvantages
Question 8
Environmental factors can have various effects on ecosystems. In August 2005, Hurricane Katrina caused significant damage in several states along the Gulf Coast, including Alabama, Mississippi, and Louisiana. Thousands of people were evacuated from their homes due to flooding and other damage caused by the storm. What environmental impact would Hurricane Katrina not have caused?
early onset of spring
Question 9
Rising levels of carbon dioxide most likely
have a greater detrimental effect on the sea
Question 10
Which scenario best describes how climate trends might affect animal migration?
animals found at the equator may move north
A bag of sugar weighs 1.50 lb on earth. what would it weigh in newtons on the moon, where the free-fall acceleration is one-sixth that on earth?
A bag of sugar that weighs 1.50 lb (or 6.68 N) on Earth would weigh 1.11 N on the moon because the moon's gravity is only one-sixth as strong as Earth's gravity.
Explanation:To find the weight of the bag of sugar on the moon, we first need to convert its weight on earth from pounds to newtons. As 1.0 lb is equivalent to 4.45 N, a 1.50-lb bag of sugar would weigh 6.68 N on Earth. On the moon, where the free-fall acceleration is one-sixth of what it is on Earth, this weight would be reduced by a factor of 6, giving a weight of approximately 1.11 N.
So, a 1.50-lb bag of sugar which weighs 6.68 N on Earth would weigh 1.11 N on the moon.
To understand why this is the case, it's necessary to understand that weight varies depending on location because it depends on the force of gravity. On the moon, gravity is only one-sixth as strong as it on Earth, which is why objects weigh less there.
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An atom with 4 protons, 5 neutrons, and 4 electrons has an atomic mass of _____ amu. (Enter a whole number.)
Answer:
4+5=9 amu
Explanation:
Together, the number of protons and the number of neutrons determine an element's mass number: mass number = protons + neutrons.
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In a swimming pool, where is the greatest fluid pressure?
Answer:
At the bottom of swimming pool the pressure will be maximum.
Explanation:
Here as we know that pressure inside the water is given as
[tex]P = P_0 + \rho g h[/tex]
here we know that
[tex]P_0[/tex] = atmospheric pressure
[tex]\rho[/tex] = density of water
h = depth inside the water where pressure it to be required
So here from the above equation we know that pressure is increased as the depth inside the water is increased.
So in order to have maximum pressure inside the swimming pool we need to go at maximum depth position.
So it is at the bottom of the swimming pool pressure will be maximum.
If the labor force of 155 million people is growing by 1.0 percent per year, how many new jobs have to be created each month to keep unemployment from increasing?
First let us compute for the total growth in population.
Growth = 155 million * 0.01
Growth = 1.55 million
Since there are 12 months in a year, therefore the new jobs every month should be:
new jobs per month = 1.55 million / 12
new jobs per month = 0.129 million = 129,167
To keep unemployment from increasing in a labor force of 155 million growing at 1.0 percent per year, around 129,167 new jobs need to be created each month.
If the labor force of 155 million people is growing by 1.0 percent per year, the total increase in the labor force per year would be 1.55 million people (155 million times 1%). To determine the number of new jobs needed to be created each month to keep unemployment from increasing, we divide this annual increase by 12 months. Thus, 1.55 million divided by 12 gives approximately 129,167 jobs that need to be created each month.
It takes 3.3 j of work to stretch a hooke's-law spring 15 cm from its unstressed length. how much the extra work is required to stretch it an additional 11.3 cm? answer in units of j.
Final answer:
The extra work required to stretch the Hooke's-law spring an additional 11.3 cm is 0.9375 J.
Explanation:
To find the extra work required to stretch the Hooke's-law spring an additional 11.3 cm, we can use the formula for the work done by a spring force: W = ½kx², where W is the work done, k is the spring constant, and x is the displacement. Given that it takes 3.3 J of work to stretch the spring 15 cm, we can first find the spring constant:
k = 2W / x² = 2(3.3 J) / (0.15 m)² = 146.67 N/m
Now we can calculate the extra work required to stretch the spring an additional 11.3 cm:
W' = ½kx'² = ½(146.67 N/m)(0.113 m)² = 0.9375 J
When you sneeze, the air in your lungs accelerates from rest to 155 km/h in approximately 0.70 s . what is the acceleration of the air in m/s2?
Final answer:
Acceleration is the rate of change of velocity over time. The acceleration of the air in m/s² when sneezing at 155 km/h in 0.70 s is approximately 61.51 m/s².
Explanation:
Acceleration is the rate of change of velocity over time. In this case, the air in your lungs accelerates from rest to 155 km/h in approximately 0.70 s. To calculate the acceleration in m/s², we convert the final velocity to m/s and use the formula for acceleration.
Given: Initial velocity = 0 m/s, Final velocity = 155 km/h = 43.06 m/s, Time = 0.70 s. Acceleration = (Final velocity - Initial velocity) / Time.
Substitute the values: Acceleration = (43.06 m/s - 0 m/s) / 0.70 s = 61.51 m/s².
If the resistance of an electric circuit is 12 ohms and the voltage in the circuit is 60 V the current flowing through the circuit is
If the resistance of an electric circuit is 12 ohms and the voltage in the circuit is 60 V the current flowing through the circuit is 5A
What is ohm's law?
Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant
resistance = 12 ohm
voltage = 60 V
using ohm's law
V = IR
I = V/R
= 60 / 12
= 5 A
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Which category of materials does concrete belong to and why?
1. It’s a synthetic polymer because it’s a product of a chemical reaction.
2. It’s an alloy because it contains layers of different components.
3 .It’s a ceramic because it contains substances such as sand and clay.
4. It’s a composite because it’s a mixture of cement, sand, and other granular pieces.
Answer:
Correct Answer is option 4 (It’s a composite because it’s a mixture of cement, sand, and other granular pieces.)
Explanation:
Concrete :
Concrete is a mixture which is made up of sand, cement, granular pieces and water. sand can be spread anywhere in liquid form and when it dries it becomes hard as stone. Concrete is used for making buildings.
Composite:
Composite is a material which is formed by mixing various element
Since Concrete is formed on mixing various element like cement, granular pieces, water and sand. Therefore concrete is a material which belong to composite category.
Question 6. B) and c)