the x-component of the velocity of the second ball is 1.25 m/s.
Given,
Initial velocity of the first ball, u₁ = 1.83 m/s
Final velocity of the first ball, v₁ = 1.15 m/s
Initial velocity of the second ball, u₂ = 0 m/s (as it is at rest)
Let v₂ be the final velocity of the second ball at an angle θ with the horizontal.
Using the principle of conservation of momentum, we get,
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Here, m₁ = m₂ = m (both the balls are identical)
Therefore,
mu₁ = (m + m)v₂
=> u₁ = 2v₂
=> v₂ = u₁/2
= 1.83/2 = 0.915 m/s
Now, using the principle of conservation of energy, we get,1/2 mu₁² = 1/2 mv₁² + 1/2 mv₂²
=> u₁² = v₁² + v₂² => v₂² = u₁² - v₁²v₂² =
(1.83)² - (1.15)²v₂ = √(1.83² - 1.15²)
= 1.35 m/s
Now, to find the x-component of the velocity of the second ball, we use the formula,
x-component of velocity of the second ball = v₂ cos θ= 1.35 cos 23.3°= 1.25 m/s (approx)
Therefore, the x-component of the velocity of the second ball is 1.25 m/s.
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Find the 7th term of the geometric sequence
1/8, 1/2, 2, ...
Answer:
512
Explanation:
Given sequence:
1/8, 1/2, 2, ...
Unknown:
The 7th term of the geometric sequence = ?
Solution:
To solve this problem, we apply the formula below;
Sₙ = arⁿ⁻¹
a is the first term
r is the common ratio
n is the nth term
r = \(\frac{\frac{1}{2} }{\frac{1}{8} }\) = \(\frac{1}{2} x 8\) = 4
Input the parameters and solve;
Sₙ = \(\frac{1}{8}\) x 4⁷⁻¹
Sₙ = \(\frac{1}{8}\) x 4⁶ = 512
What is the mass of a 7000 N boulder?
A hockey player hits a rubber puck from one side of the rink to the other. It has a mass of .170 kg, and is hit at an initial speed of 6 m/s. If the rink is 61 meters long, how fast is the puck moving when it hits the far wall?
By using third law of equation of motion, the final velocity V of the rubber puck is 8.5 m/s
Given that a hockey player hits a rubber puck from one side of the rink to the other. The parameters given are:
mass m = 0.170 kg
initial speed u = 6 m/s.
Distance covered s = 61 m
To calculate how fast the puck is moving when it hits the far wall means we are to calculate final speed V
To do this, let us first calculate the kinetic energy at which the ball move.
K.E = 1/2m\(U^{2}\)
K.E = 1/2 x 0.17 x \(6^{2}\)
K.E = 3.06 J
The work done on the ball is equal to the kinetic energy. That is,
W = K.E
But work done = Force x distance
F x S = K.E
F x 61 = 3.06
F = 3.06/61
F = 0.05 N
From here, we can calculate the acceleration of the ball from Newton second law
F = ma
0.05 = 0.17a
a = 0.05/0.17
a = 0.3 m/\(s^{2}\)
To calculate the final velocity, let us use third equation of motion.
\(V^{2}\) = \(U^{2}\) + 2as
\(V^{2}\) = \(6^{2}\) + 2 x 0.3 x 61
\(V^{2}\) = 36 + 36
\(V^{2}\) = 72
V = \(\sqrt{72}\)
V = 8.485 m/s
Therefore, the puck is moving at the rate of 8.5 m/s (approximately) when it hits the far wall.
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Question 2 (5 points)
(04.02 LC)
Which of the following energy conversions takes place in plants during photosynthesis? (5 points)
a
Chemical energy to light energy
b
Light energy to electrical energy
Ο Ο Ο
Electrical energy to light energy
Light energy to chemical energy
Answer:
Fossil fuels store energy from the sun as
Answer:
light to chemichal
Explanation:
10. Four forces act on a hot-air balloon, shown from
the side in the figure below. Find the magnitude and
direction of the resultant force on the balloon.
enollsugano
mu
5120 N
1520 N
nomina
coat
950 N
Bideo
bi
biswerwobler
SI
vo
4050 N
The resultant of the four forces on the balloon is 1,212.35 N at 62⁰.
The given parameters;
Force applied to the north = 5120 NForce applied to the west = 1520 NForce applied to the east = 950 NForce applied to the south = 4050 NThe resultant vertical force is calculated as follows;
\(F_y = 5120 \ N - 4050 \ N\\\\F_y = 1,070 \ N\)
The resultant horizontal force is calculated as follows;
\(F_x = 1520 \ N - \ 950 \ N\\\\F_x = 570 \ N\)
The resultant of the four forces is calculated as follows;
\(F = \sqrt{F_y^2 + F_x^2} \\\\F = \sqrt{(1,070)^2 + (570)^2} \\\\F = 1,212.35 \ N\)
The direction of the force is calculated as follows;
\(\theta = tan^{-1} (\frac{1070}{570} )\\\\\theta = 62^0\)
Thus, the resultant of the four forces on the balloon is 1,212.35 N at 62⁰.
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Every day certain amount of water evaporates from Earth'$ oceans, lakes and land surface and forms water vapor and clouds in the atmosphere. Every day certain amount of rain falls back t0 Earth Make the reasonable assumption that, on average , the energy absorbed by the evaporation and lifting of the water is equal to the energy released by its condensation and falling back to earth. The evaporation of one mole of water requires approximately 40.6x10* J of heat. An equal amount of heat is released when a mole of water condenses The annual volume of rainfall on Earth is approximately 5.IxlOS km? and the average cloud altitude is 8.1 km above Earth'$ surface. How much energy, in joules required every day to evaporate and lift the water? Grade Summary E = 114 1018 Deductions 6 % Potential 949 Submissions sino cosu tano) HOME
the amount of energy required every day to evaporate and lift the water is 5.425x10¹⁸ J/d ≈ 1.43x10¹⁴ J.
Every day, a certain amount of water evaporates from Earth's oceans, lakes, and land surface and forms water vapor and clouds in the atmosphere. An equal amount of rain falls back on Earth on a daily basis. On average, the energy absorbed by the evaporation and lifting of water is equivalent to the energy released by its condensation and falling back to the Earth. The amount of energy required every day to evaporate and lift the water from the surface is 1.43x10¹⁴ J.
The energy released during the condensation of 1 mole of water is 40.6x10* J. Hence, the evaporation of 1 mole of water also requires the same amount of energy. If 1 mole of water requires 40.6x10* J of energy for evaporation and condensation, it means 18g of water needs this energy.
Using the data provided, the annual rainfall on Earth is approximately 5.1x10¹² m³.
The volume of rainfall that falls every day can be obtained by dividing the annual rainfall by the number of days in a year: 5.1x10¹² m³ ÷ 365 days
= 1.397x10¹⁰ m³/d.
On average, the cloud altitude is 8.1 km above the Earth's surface.
To calculate the amount of energy required every day to evaporate and lift the water, we first need to find the mass of water evaporated every day. This can be done by multiplying the volume of water lifted by its density.
The density of water is 1000 kg/m³, therefore:
Mass of water lifted every day = Volume of water lifted x Density of water
Mass of water lifted every day = 1.397x10¹⁰ m³/d x 1000 kg/m³
Mass of water lifted every day = 1.397x10¹³ kg/d
Now that we know the mass of water lifted every day, we can find the amount of energy required to lift it to a height of 8.1 km.
The energy required can be calculated by multiplying the mass of water lifted by the height it is lifted to and by the acceleration due to gravity (g). The acceleration due to gravity is 9.81 m/s².
The energy required every day to evaporate and lift the water = Mass of water lifted x Height lifted x Acceleration due to gravity.
Energy required every day to evaporate and lift the water = 1.397x10¹³ kg/d x 8100 m x 9.81 m/s²
The energy required every day to evaporate and lift the water = 1.085x10¹⁹ J/d
However, since we have been asked to find the amount of energy required every day to evaporate and lift the water and we know that an equal amount of energy is released when the water falls back on Earth,
we will divide the energy calculated by 2.
Therefore, the amount of energy required every day to evaporate and lift the water is 1.085x10¹⁹ J/d ÷ 2 = 5.425x10¹⁸ J/d ≈ 1.43x10¹⁴ J.
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5. Explain the law of conservation of energy using a relevant example from every day life.
The law of conservation of energy states that energy is neither created nor destroyed but is transformed from one form to another.
What is law of conservation of energy?The law of conservation of energy is the law that states that energy is neither created nor destroyed but is transformed from one form to another.
Examples of activities of everyday life that shows the conservation of energy include the following:
For loudspeaker, electrical energy is converted into sound energy.For a microphone, sound energy is converted into electrical energy.For a generator, mechanical energy is converted into electrical energy.When fuels are burnt, chemical energy is converted into heat and light energyLearn more about energy here:
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An example of the law of conservation of energy is a roller coaster.
What is the law of conservation of energy?The law of conservation of energy states that energy cannot be created or destroyed, only transferred or transformed from one form to another. This means that the total amount of energy in a closed system remains constant over time.
A roller coaster car gains kinetic energy as it moves down the track, but it also loses potential energy. At the bottom of the track, the car has the most kinetic energy and the least potential energy, while at the top of the track, it has the most potential energy and the least kinetic energy. However, the total amount of energy in the system remains constant.
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Pls help answer this quickly, explain thoroughly. Prefer
if typed. Will rate answer good, thanks.
9. Describe what is Electron Beam Lithography and for what specific purpose is this type of lithography is used or why not in semiconductor industry. \( [8 \) marks]
Electron Beam Lithography (EBL) is a technique used in the microfabrication process. In EBL, an electron beam is used to create a pattern or design on a surface. The process involves directing an electron beam onto a surface that is coated with a resist material.
EBL is used for the fabrication of nanostructures and microstructures. It is an essential technique in the field of microelectronics and photonics. It is used to create complex structures that cannot be made using traditional photolithography techniques. The technique is particularly useful in the production of high-resolution images and structures.
In semiconductor industry, EBL is used to create the masks required in photolithography. EBL is a high-resolution process that allows for the creation of masks with feature sizes that are smaller than those possible with conventional photolithography. EBL is also used in the development of new materials and devices.
EBL is not commonly used in semiconductor industry due to its high cost, low throughput, and complexity. The process is slow and requires a lot of time to create patterns. It is also limited in its ability to fabricate large-area structures. Therefore, the technique is more commonly used in research and development applications rather than in industrial production.
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In the Vector Addition Lab, the following data was collected for determining the displacement from the door of the Physics classroom to another location in the building: 2 m, West; 14.0 m, South; 25.0 m, East; 11.0 m, North; and 2 m, West. The magnitude of the resultant displacement from the physics classroom to the assigned location is closest to ___ meters. (Round to the nearest integer.)
Answer:
21 m
Explanation:
Since the displacement from the door is 2 m West, we have our vector as -2i. The vector representing 14.0 m South is -14.0j. The vector representing 25.0 m East is 25.0i. The vector representing 11.0 m North is 11.0j. And, the vector representing 2.0 m West is -2.0i.
So, to get our position vector at the other location, we add all the vectors together.
So, r = -2i + (-14.0j) + 25.0i + 11.0j - 2i
= -4i + 25.0i - 14.0j + 11.0j
= 21.0i -3j m
Now, if we assume the position vector for the door is at the origin, we have r₀ = 0i + 0j m
So, our displacement from the door is r - r₀ = 21.0i - 3.0j - (0i + 0j) = 21.0i - 3.0j
So, the magnitude of the resultant displacement |r - r₀| = √(21.0² + 3.0²)
= 3.0√(7.0² + 1)
= 3.0√(49 + 1)
= 3.0√50
= 3.0 × 7.0711
= 21.2
≅ 21 m to the nearest integer
Coal and gas are fossil fuels which are non renewable what percentage of world electricity production in 2008 came from burning fossil fuels(there is a little chart also I feel I'm overthinking it)
In 2008, approximately 68% of the world's electricity production came from burning fossil fuels such as coal and gas.
This highlights the heavy reliance of the world on non-renewable energy sources. Fossil fuels are finite resources, which means they are non-renewable, and their production leads to environmental pollution and climate change. The burning of fossil fuels releases carbon dioxide and other greenhouse gases that contribute to global warming. As a result, there is an urgent need to reduce our dependence on fossil fuels and switch to cleaner, renewable energy sources. The transition to renewable energy sources such as solar, wind, hydro, and geothermal energy will not only reduce carbon emissions but also improve energy security and promote sustainable development.
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The chemical reactivity of an atom is determined by the number of _____ present.a) protonb) neutronc) electronThere can be multiple answers.
The chemical reactivity of an atom is determined by the number of electrons present in its outermost shell, also known as the valence electrons.
These electrons play a key role in determining the chemical properties of an atom, such as its reactivity and bonding behavior. An atom with a full or nearly full valence shell is less likely to engage in chemical reactions, while an atom with a partially filled valence shell is more reactive and readily participates in chemical reactions. Thus, the number of electrons in the valence shell is a critical factor in determining the chemical reactivity of an atom. Chemical reactivity refers to the ability of a substance to participate in chemical reactions and form new compounds. It is determined by various factors, including the arrangement of electrons in the outermost shell (valence electrons), the stability of the electronic configuration, and the energy required to break or form chemical bonds.
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Which best describes how single-celled organisms are different from multi-celled organisms?
A.
A single-celled organism is more detailed and complex.
B.
A single-celled organism must perform all cellular functions.
С.
A single-celled organism must work with other cells to survive.
D.
A single-celled organism is specialized to perform one function.
Answer:
A single-called organism must perform all cellular functions on its own
Explanation:
i took the test
if you were given a rock sample and told it contained 200 atoms and three half-lives had passed how much of the daughter isotope would you have? How much of the parent isotope?
After three half-lives, 1/8 (or 0.125) of the parent isotope remains. Thus, 0.125 times the parent atoms. The daughter isotope would be equivalent to the remaining parent isotope, 0.125 times the original number of parent atoms.
After three half-lives, the parent isotope has exponentially decayed, forming the daughter isotope. Each half-life reduces the parent isotope by half and increases the daughter isotope. Three half-lives have passed, reducing the parent isotope to 1/8 of its initial level. The rock sample would have 1/8 of the parent isotope.
The daughter isotope would have accumulated during decay. After three half-lives, the daughter isotope would have reached 3/8 of the parent isotope as each half-life creates one-half of it. After three half-lives, the rock sample would have 1/8 of the parent isotope and 3/8 of the daughter.
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. as outlined below, a 2-kg bob is compressed 60-cm against a 50 n/m spring while on the other side a 3-kg block is placed 4-m up along a 30 degree incline. both objects are then released from rest. assuming all surfaces are frictionless: a. what will be the velocity of each object before they collide? (10pts) b. if the collision between the objects is elastic, what will be the velocity of each object after the collision? (10pts) c. if either (or both) of the objects moves toward the spring after the collision, determine how much the spring will be compressed by the object(s) (10pts) d. if either (or both) of the objects moves toward the incline after the collision, determine how far up the incline the object(s) will travel (10pts)
a. To determine the velocity of each object before they collide, we can apply conservation of mechanical energy.
For the 2-kg bob compressed against the spring, the potential energy stored in the spring when compressed is given by:
PE_spring = 0.5 * k * x^2,
where k is the spring constant (50 N/m) and x is the compression distance (0.6 m).
PE_spring = 0.5 * 50 N/m * (0.6 m)^2 = 9 J
The potential energy is converted entirely into kinetic energy before the collision:
KE_bob = PE_spring = 9 J
Using the formula for kinetic energy:
KE = 0.5 * m * v^2,
where m is the mass and v is the velocity, we can solve for the velocity of the 2-kg bob:
9 J = 0.5 * 2 kg * v^2
v^2 = 9 J / 1 kg
v = √(9 m^2/s^2) = 3 m/s
Therefore, the velocity of the 2-kg bob before the collision is 3 m/s.
For the 3-kg block on the incline, we can determine its velocity using the conservation of potential and kinetic energy.
The potential energy at the top of the incline is given by:
PE_top = m * g * h,
where m is the mass (3 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (4 m).
PE_top = 3 kg * 9.8 m/s^2 * 4 m = 117.6 J
The potential energy is converted into kinetic energy:
KE_block = PE_top = 117.6 J
Using the formula for kinetic energy, we can solve for the velocity of the 3-kg block:
117.6 J = 0.5 * 3 kg * v^2
v^2 = 117.6 J / 1.5 kg
v = √(78.4 m^2/s^2) ≈ 8.85 m/s
Therefore, the velocity of the 3-kg block before the collision is approximately 8.85 m/s.
b. If the collision between the objects is elastic, the total momentum before the collision is equal to the total momentum after the collision.
Total momentum before the collision:
P_before = m1 * v1 + m2 * v2,
where m1 and m2 are the masses, and v1 and v2 are the velocities.
P_before = (2 kg * 3 m/s) + (3 kg * 8.85 m/s)
P_before ≈ 36.55 kg·m/s
Since the collision is elastic, the total momentum after the collision remains the same.
Total momentum after the collision:
P_after = (2 kg * v1') + (3 kg * v2'),
where v1' and v2' are the velocities after the collision.
We need to solve this equation for v1' and v2'. More information is required about the nature of the collision (head-on or at an angle) to determine the specific velocities after the collision.
c. To determine how much the spring will be compressed by the object(s) after the collision, we need to consider the conservation of mechanical energy.
The total mechanical energy after the collision is equal to the sum of potential and kinetic energy:
Total Energy_after = PE_spring + KE_bob,
where PE_spring is the potential energy stored in the spring and KE_bob is the kinetic energy of the 2-kg
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24. Heat transfer by convection occurs when: A. Atoms give off energy in the form of radiation B. A large number of atoms move from one place to another C. Electrons collide with other electrons and with atoms. D. Electromagnetic waves travel though space to heat up an object.
Answer:
B. A large number of atoms move from one place to another
Explanation:
Convection is heat transfer by the movement of atoms of a substance from one region to another across a temperature gradient. Since atoms of solids are rigidly held in place, convection only occurs in liquids and gases since they flow.
Convection occurs when the temperature of one region of a fluid (liquid or gas) is higher than its other region. There is thus a mass movement of atoms from one region to the other due to a temperature difference. The atoms will continue to move to the region of lower temperature until the temperature of both regions are the same at an equilibrium temperature.
Please help for 30 points
write at least 3 rules that summarize how magnets move objects.
Answer:
Magnets work by using Earth's magnetic pull.
Explanation:
Magnets move objects because they are made of steel or metal. And for that reason, they can stick to objects that are metal.
a pebble is dropping from a building that is 125m high. THe pebble is initially at rest. approximately how long does it take for the pebble to reach the ground.
Here's the formula you want to use to solve this:
Distance = (1/2) · (acceleration) · (time²)
We know the distance to the ground and the acceleration of gravity, so let's pluggum in:
. . . . . 125 m = (1/2) (9.8 m/s²) (time²)
Divide each side by (4.9 m/s²):
. . . . . (125 m) / (4.9 m/s²) = time²
. . . . . 25.51 s² = time²
Square-root each side:
5.05 seconds = time
Hess's law states that:
A. Energy cannot be created nor destroyed, it can only change form.
B. The enthalpy change when 1 mole of a substance undergoes complete combustion under standard conditions is equal to molar masses of the compounds.
C. When the enthalpy changes under standard conditions, 1 mole of a substance is formed from its elements.
D. The overall enthalpy change for a reaction is independent of the route the reaction takes.
Answer:
D. The overall enthalpy change for a reaction is independent of the route the reaction takes.
Answer: Hess's law states that the overall enthalpy change for a reaction is independent of the route the reaction takes. Option D is correct.
It is given Hess's law.
It is required to state the Hess's law.
What is Hess's law ?Thermochemical equations can be manipulated to give the data chemical reactions. We find exactly how much energy will be absorbed or released by the reaction because we may face various explosions.
There are mainly two ways to calculate ΔH of any reaction. First If the reaction has ΔH then the reverse of the reaction will have opposite ΔH and the second is if double the ΔH of the substances, double the ΔH.
Therefore Hess's law states that the overall enthalpy change for a reaction is independent of the route the reaction takes.
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How high do you need to fall for it to be very very very fatal ???
Answer:
Jump from tallest building (Burj Khalifa) without any protection kit.
S In about 1657 , Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P14.54). Two teams of eight horses each could pull the hemispheres apart only on some trials and then "with greatest difficulty," with the resulting sound likened to a cannon firing. Find the force F required to pull the thinwalled evacuated hemispheres apart in terms of R, the radius of the hemispheres; P , the pressure inside the hemispheres; and atmospheric pressure P₀.
The force F required to pull the thin-walled evacuated hemispheres apart is given by F = \(2\pi R^2\) * (P - P₀).
To find the power F expected to pull the slight walled cleared sides of the equator separated, we can consider the equilibrium of powers included.
At the point when the halves of the globe are pulled separated, the power required is equivalent to the distinction in strain on the different sides of the halves of the globe. We can communicate this power as:
F = \(2\pi R^2\) * (P - P₀)
Where:
F is the power expected to pull the sides of the equator separated.
R is the span of the sides of the equator.
P is the strain inside the sides of the equator.
P₀ is the environmental strain.
The power is determined by duplicating the surface area of one side of the equator (\(2\pi R^2\)) by the distinction in pressure (P - P₀). This is on the grounds that the tension contrast acts over the whole surface area of the two sides of the equator.
For this situation, since the sides of the equator are cleared, the tension inside (P) would be near nothing. Subsequently, the power expected to pull the halves of the globe separated still up in the air by the barometrical strain (P₀).
The power expected to isolate the sides of the equator increments with the sweep of the halves of the globe (R) and the distinction between within pressure (P) and the climatic strain (P₀).
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You and your friend grabbed some inner tubes to go sledding down a hill.
However, your friend needed a push to get him going. You gave your friend a
push of 5 meters on his inner tube with a force of 400 N to start him down the
snowy slope. How much work did you do?
Answer:2000jules
Explanation:
another friend With a force of 400 newtons and down the slope, and it applies this force Through a distance of five m. So they want to know what the work is. So the equation for work is force times distance, and usually we want to put with the cold sine of the angle between them if they are not aligned, but in this case they are aligned. So the call sign turns out to be one. So all we have to do is multiply force times distance 400 times five, and we get a value of And this is equal to 2000 jules. That's the answer to the problem.
What is the region around a magnet where the magnetic force is exerted?
A.
magnetic poles
B.
tesla
C.
charge field
D.
magnetic field
Answer:
Magnetic field
Explanation:
Answer:
magnetic field
Explanation:
A 4723-kg asteroid orbits 4.1 × 108 m above the Earth. The asteroid runs into another stationary asteroid of equal mass and the two stick together. What is the resulting velocity?
Answer:
To find the resulting velocity when the two asteroids stick together, we can use the principle of conservation of momentum.
The initial momentum of the first asteroid before the collision is given by the product of its mass (m1) and its velocity (v1):
Initial momentum of asteroid 1 = m1 * v1
Since the second asteroid is stationary, its initial momentum is zero.
After the collision, the two asteroids stick together and move with a common velocity (v2). The total mass of the system after the collision is the sum of the masses of the two asteroids (m1 + m2).
According to the conservation of momentum, the initial momentum of the system is equal to the final momentum of the system:
Initial momentum = Final momentum
m1 * v1 + 0 = (m1 + m2) * v2
Given:
m1 = m2 = 4723 kg
v1 = initial velocity of the first asteroid (unknown)
v2 = final velocity of the combined asteroids (unknown)
We can substitute these values into the equation and solve for v2:
4723 kg * v1 + 0 = (4723 kg + 4723 kg) * v2
4723 kg * v1 = 9446 kg * v2
Dividing both sides by 9446 kg:
v1 = 2 * v2
Therefore, the initial velocity of the first asteroid (v1) is twice the final velocity of the combined asteroids (v2).
Since the initial velocity of the first asteroid is not given, we cannot determine the resulting velocity (v2) without additional information.
max muncy of the los angeles dodgers hits a home run so that the baseball just clears the fence 21.0 m high, located 130 m from home plate. the baseball is hit so that the initial velocity of the baseball is at an angle of 35.0o above the horizontal, and air resistance is negligible. the baseball is hit at a height of 1.00 m above the ground (home plate). (a) calculate the initial speed of the baseball. (b) calculate the velocity of the baseball at the instant it passes right over the top of the fence.
(a) The initial speed of the baseball is 44.0 m/s.
(b) The velocity of the baseball at the instant it passes over the top of the fence is 48.8 m/s.
To calculate the initial speed of the baseball, you need to consider the horizontal and vertical components of the velocity. The horizontal component will not change because air resistance is negligible, while the vertical component will be affected by gravity. Therefore, we can use the following equations:
vx = v cos θ
vy = v sin θ - gt
where vx and vy are the horizontal and vertical components of the velocity, v is the initial speed, θ is the angle of the initial velocity, g is the acceleration due to gravity, and t is the time.
To find v, we need to use the fact that the baseball just clears the fence, which means that its vertical displacement is equal to the height of the fence
:h = 21.0 m - 1.00 m = 20.0 m
Since the baseball is at the maximum height when it passes over the fence, its vertical velocity at that point is zero. Therefore, we can use the following equation to find the time of flight:
0 = v sin θ - gtₐ= v sin θ / g
where tₐ is the time of flight.Substituting the given values, we get:
tₐ = v sin 35° / g
To find v, we need to use the fact that the horizontal displacement of the baseball is 130 m:
vₓ tₐ = 130 mv cos 35° v sin 35° / g = 130 m
Solving for v, we get v = 44.0 m/s. Therefore, the initial speed of the baseball is 44.0 m/s.
To calculate the velocity of the baseball at the instant it passes over the fence, we need to find its horizontal and vertical components of velocity separately. Since air resistance is negligible, the horizontal component will remain constant at 44.0 m/s. The vertical component, however, will be affected by gravity, which means that it will decrease as the baseball rises and increase as it falls. At the instant the baseball passes over the fence, its vertical velocity will be equal to its initial velocity (44.0 sin 35°) minus the vertical component due to gravity (9.81 m/s² multiplied by the time it takes to reach the top of the fence).
To find this time, we can use the following equation:
vy = v sin θ - gt
where vy is the vertical component of velocity, v is the initial speed, θ is the angle of the initial velocity, g is the acceleration due to gravity, and t is the time. At the top of the fence, vy = 0, so we can solve for t:
v sin θ - gt = 0
t = v sin θ / g
Substituting the given values, we get:
t = 44.0 sin 35° / 9.81 = 2.28 s
Now we can find the vertical component of velocity at the top of the fence:
vy = v sin θ - gt
vy = 44.0 sin 35° - 9.81 × 2.28
vy = 21.2 m/s
Therefore, the velocity of the baseball at the instant it passes over the top of the fence is 44.0 m/s (horizontal component) and 21.2 m/s (vertical component). The resultant velocity can be found using the Pythagorean theorem:
V = √(vx² + vy²)
V = √(44.0² + 21.2²)V = 48.8 m/s
Therefore, the velocity of the baseball at the instant it passes over the top of the fence is 48.8 m/s.
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On earth a bag of sugar weight 10N. on mars a bag of sugar weight 4N. suggest the weight of the sugar is different on earth and mars
Answer:
gravity
Explanation:
there eould be a different gravitational strenght on both of the planets causing it to weigh more, or less
In mars, the effect of gravity on the object is weaker compared to while on earth. This weakness is what causes the reduction in the weight of the bag of sugar while on mars.
We must understand that the mass of an object may differ depending on its location on the planet. This is due to the effect of gravity on the object.
Gravity is simply defined as any force which attracts an object towards the centre of the earth.
From the question given, we are told that the weight of sugar is 10N on the earth and 4N on Mars. This difference in their mass is attributed to the effect of gravity on the object.
In mars, the effect of gravity on the object is weaker compared to while on earth. This weakness is what causes the reduction in the weight of the bag of sugar while on mars.
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PLEASE HELP An object takes 5.91 Earth years to orbit the Sun. What is its average distance from the Sun? Make sure to show ur work
The frequency of a note played on a piano is 262 Hz. Given that the velocity of sound at 20°C is 343 m/s, what is the wavelength of the note?
Answer:
Explanation:
The equation for frequency is
\(f=\frac{v}{\lambda}\) where
f = frequency, v is velocity, and lambda is wavelength. Filling in:
\(262=\frac{343}{\lambda}\) and
\(\lambda=\frac{343}{262}\) so
\(\lambda=1.31m\)
The wavelength of the note played on the piano is 1.31m.
Given the data in the question;
Frequency of the note played on a piano; \(f = 262Hz = 262s^{-1}\)Velocity; \(v = 343m/s\)Wavelength of the note; \(\lambda = \ ?\)
WavelengthWavelength is simply referred to as the spatial period of a periodic wave i.e when the shapes of waves are repeated, the distance over which they are repeated is called wavelength. It is expressed as;
\(\lambda = \frac{v}{f}\)
Where v is velocity and f is frequency
We substitute our given values into the expression above;
\(\lambda = \frac{v}{f} \\\\\lambda = \frac{343m/s}{262s^{-1}} \\\\\lambda = 1.309m\\\\\lambda = 1.31m\)
Therefore, the wavelength of the note played on the piano is 1.31m.
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A 210 mW vertically polarized laser beam passes through a polarizing filter whose axis is 36 ∘ from horizontal.
What is the power of the laser beam as it emerges from the filter?
The power of the laser beam as it emerges from the polarizing filter =137.34 mW.
To determine the power of the laser beam as it emerges from the polarizing filter, we need to consider the angle between the polarization direction of the laser beam and the axis of the filter.
Let's break down the given information:
Power of the laser beam before the filter: 210 mW
Angle between the filter's axis and the horizontal: 36°
The power transmitted through a polarizing filter is given by Malus's law, which states that the transmitted power (P_transmitted) is proportional to the square of the cosine of the angle (θ) between the polarization direction of the incident beam and the filter's axis.
Mathematically, we can express this as:
P_transmitted = P_initial * cos²(θ)
Here, P_initial is the initial power of the laser beam before passing through the filter.
To calculate the power of the laser beam after passing through the filter, we substitute the given values into the equation:
P_transmitted = 210 mW * cos²(36°)
Using a scientific calculator, we can evaluate this expression:
P_transmitted ≈ 210 mW * (cos(36°))²
P_transmitted ≈ 210 mW * (0.809)²
P_transmitted ≈ 210 mW * 0.654
P_transmitted ≈ 137.34 mW
Therefore, the power of the laser beam as it emerges from the polarizing filter is approximately 137.34 mW.
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State the universal law of gravitation.
Answer in detail
Answer:
Explanation:
Newton's law of universal gravitation is that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Please I need at least 3 differences between high and low specific heat capacity I will mark you brainliest
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| Specific Heat Capacity |"What Is It and What Are Some Differences Between High and Low Specific Heat Capacity?"
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Hello! Today, let's begin with discussing what specific heat capacity is.
"What is Specific Heat Capacity?"
It is the amount of heat per unit required to increase the temperature by 1°C. Most of the time, specific heat is used for determining the processing temperatures as well as amount of heat that is necessary for processing. It is helpful in differentiating between that of two polymeric composites.XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
"What is High and Low Specific Heat Capacity?"
Now, this specific situation is asking a question regarding the differences between high and low specific heat capacity. When the specific heat capacity is high, this means that it takes more energy to either increase or decrease its temperature. Take water for instance; water has a high specific heat, meaning it will take more energy to increase the temperature of the liquid compared to other substances. That's why when you are boiling water in a pot, the water needs time to absorb heat before it begins to boil at the increase in temperature.On the other hand, when the specific heat capacity is low, this means that it doesn't take as much energy to increase or lower as high SHC does. For example, any metals such as iron have low specific heat. It doesn't take long for the substance's energy to increase the temperature. The same thing occurs when you place a spoon in a cup of hot coffee. It is said that even other substances like sand have relatively low specific heat.______________________________________________________
Hopefully this sort of helps you have a better understanding of what specific heat is, as well as the differences between that of high and low specific heat capacity. Also, if this is a write your answer response, it is better to dive further into your studies and notes regarding this topic so you can properly answer the question and follow the guidelines. Anyways, I wish you the best of luck on your assignment. Thanks for reading!