The acceleration is 1.03m/s^2 and initial velocity is 6.1735m/s
As it is given that motion is in positive direction and in one dimension, we will use the formulas of motion in one dimension
It is given to us that while slowing vehicle moves 40m
time taken to halt is 7.45s
final velocity is 1.5 m/s
We are required to find initial speed and acceleration
Using the equation v = u + at
v=1.5 , t = 7.45
1.5 = u + a x 7.45
u + 7.45a= 1.5
u =1.5 -7.45a
Now using the equation v^2 -u^2 =2aS
1.5 x 1.5 -u^2 = 2 x a x 40
2.25 - u^2 = 80a`
2.25- 80a = u^2
Now squaring for u in first equation and equation with second ,we get:
(1.5 -7.45 a)^2 = 2.25 -80a
2.25 + 55.50a^2 -22.35a =2.25 -80a
55.5a^2+57.65 a =0
a(55.5a +57.65)=0
a= 57.65 /55.5 =1.03 m/s^2
u = 1.5 - 7.45 x 1.03
=-6.1735 m/s
negative sign implies that initial speed is in opposite direction
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A uniformly charged conducting spherical shell of radius Ro and surface charge density o, is spinning with constant angular velocity o. Calculate the magnetic field B and vector potential à in (20 marks) all space.
To calculate the magnetic field (B) and vector potential (Ã) in all space due to a uniformly charged conducting spherical shell spinning with constant angular velocity.
The current density can be expressed as
J = σv,
The Biot-Savart law as well:
à = (μ₀/4π) * ∫(J / r) * dV.
As a result, the magnetic field and vector potential inside the shell will be zero.
Therefore, the expressions for B and à in all space due to uniformly charged conducting spherical shell spinning with constant angular velocity will be zero inside the shell and calculated using appropriate integrals outside shell.
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An incline plane is 12-m long and 4-m high. A block is pulled up the ramp with a spring scale. The reading on the spring scale is 70-N. How many Newtons would the block actually weigh if you had to lift it the 4-m height?
Answer:
W = 210 N
Explanation:
For an ideal machine:
\(Work\ In = Work\ Out\\(P)(L)=(W)(H)\)
where,
P = Effort = Spring Scale Reading = 70 N
L = Effort Arm = Length of inclined plane = 12 m
W = Actual Load (Weight) to be lifted = ?
H = Load Arm = Height = 4 m
Therefore,
\((70\ N)(12\ m) = (W)(4\ m)\\\\W = \frac{(70\ N)(12\ m)}{4\ m}\)
W = 210 N
A(n) __________ is the attribute in the supertype entity that determines to which entity subtype each supertype occurrence is related.
a. subtype discriminator
b. inheritance discriminator
c. specialization hierarchy
d. entity supertype
A subtype discriminator is the attribute in the supertype entity that determines to which entity subtype each supertype occurrence is related. Option (a) is correct.
The entity supertype is a concept in a database schema that represents a group of entities that share the same attributes or characteristics. A subtype is a subset of entities that possess specific distinguishing characteristics or attributes that are not present in the supertype. A subtype will have at least one different attribute or relationship, apart from all of the characteristics that the supertype contains.
A subtype is a refinement of a supertype entity. An entity type, known as the supertype, has multiple subtypes that can be derived from it. Subtypes may be exclusive (disjoint) or nonexclusive (overlapping). Exclusive subtypes contain nonoverlapping entities, whereas nonexclusive subtypes have overlapping entities.
Supertype and subtype entities can be used in conjunction with the entity-relationship model. A subtype is a distinct entity that has one or more attributes that are specific to it but not present in its supertype. The subtype of an entity is said to be derived from its supertype by extension or specialization.
Therefore, option (a) is correct.
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An iron nail is more strongly attracted to the a) north pole of a magnet b) south pole of a magnet. c) north or south pole-no difference really
An iron nail is drawn to the magnet's north pole and adheres to it. The iron nail becomes a conduit for the magnetic field lines. As a result, the side that becomes attached to the North Pole serves as the South Pole.
Is an iron nail more drawn to a magnet's north or south pole?
A magnet's strength is greatest close to its poles. Therefore, the magnet's two poles will attract the greatest amount of nails.
An iron nail is more attracted to which pole of a magnet?
Iron nails are magnetically inducted to acquire the opposite polarity when they are brought close to one end of a magnet. Since opposing poles are drawn to one another,
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assume the rotor is in the position shown and the current in the rotor loop is as shown. if we replace the loop with a bar magnet having the same magnetic field, in what direction would the north magnetic pole of the bar magnet point?
The rotor is in the position shown and the current in the rotor loop is as shown. If we replace the loop with a bar magnet having the same magnetic field, the direction the north magnetic pole of the bar magnet point would point towards the left side.
Since the rotor is in the position as shown, we can find the direction of the magnetic field of the loop using the right-hand rule. We wrap our fingers in the direction of the current in the loop, and the direction of the thumb gives the direction of the magnetic field. Using this, we see that the magnetic field direction is towards the left. That is, the left side of the rotor is the north pole and the right side is the south pole.
Now, when we replace the loop with a bar magnet having the same magnetic field, we can see that the direction of the north pole of the bar magnet will be towards the left side. Therefore, the north magnetic pole of the bar magnet would point towards the left side.
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Define the words offense and defense in flag football
Answer: I believe offense is the attacking team and defense is the defending team
Source: I just peeked at dad watching football
what advantage does nuclear power have over solar, wind, and hydroelectric?
Nuclear power has several advantages over solar, wind, and hydroelectric power. First, nuclear power plants are capable of producing large amounts of electricity reliably and consistently, unlike solar and wind power which are dependent on weather conditions.
This means that nuclear power can provide a stable source of electricity to the grid regardless of weather conditions or time of day.
Another advantage of nuclear power is that it has a very low carbon footprint, making it a clean source of energy. Additionally, nuclear power plants require less land compared to wind and solar farms, making it an efficient use of space.
Furthermore, nuclear power is not affected by water availability, unlike hydroelectric power which relies on consistent water flows. This makes it a more reliable source of energy, particularly in regions prone to drought.
In summary, nuclear power offers a reliable and efficient source of energy with a low carbon footprint. While there are concerns around safety and waste disposal, advancements in technology have made nuclear power a safer and more viable option for meeting our energy needs.
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Which are benefits of using nuclear power plants to generate electricity?
Nuclear power plants have several benefits when it comes to generating electricity. One of the major advantages is that they produce a large amount of electricity. Nuclear reactors can generate more than 1,000 megawatts of electricity, making them highly efficient.
Additionally, nuclear power plants do not emit greenhouse gases, which helps reduce the impact of climate change. Another benefit is that nuclear power plants have a continuous power output, as they do not rely on weather conditions like solar or wind power. Furthermore, nuclear power plants require less fuel compared to traditional power plants, reducing the cost and dependency on fossil fuels. Lastly, nuclear power plants can operate for long periods of time without interruption, providing a reliable source of electricity. Overall, nuclear power plants offer a reliable, efficient, and low-carbon alternative for generating electricity.
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What is the measure of angle wxy? 73° 90° 107° 163°
The measure of the angle WXY after applying appropriate propertiy is ∠WXY = 107°.
What is angle sum property of a quadrilateral?The angle sum property of a quadrilateral states that the sum of the interior angles of any quadrilateral is always equal to 360 degrees. This means that if you draw any quadrilateral, such as a square, rectangle, or parallelogram, and measure the angles inside the shape, the total of all those angles will always add up to 360 degrees.
Given a structure WXYZ with measure of ∠Y = ∠Z = 90° and ∠W=73°.
We have to find measure of ∠X .
Since, WXYZ is a closed figure having 4 sides, so it is a quadrilateral.
ANGLE SUM PROPERTY OF QUADRILATERAL
Sum of angles of a quadrilateral is always 360°
Thus, applying angle sum property to the given quadrilateral.
∠Y + ∠Z + ∠W + ∠X = 360°
90° + 90° + 73° + ∠X = 360°
253° + ∠X = 360°
∠X = 360° -253°
∠X = 107°
Thus, measure of angle ∠WXY = 107°.
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Answer:
WXY= 107
Explanation:
just did it
2. A 70 kg person is riding a 200 kg motorcycle at 30 m/s. What is the total
mechanical kinetic energy of the rider and motorcycle?
thats the answer 121500J
The total mechanical kinetic energy of the rider and motorcycle is 121500 Joule.
What is the mechanical energy?Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location. Renewable energy is also fueled by mechanical energy. In order to efficiently produce electricity or convert energy, many sources of renewable energy depend on mechanical energy.
Given parameters:
Mass of the person: m = 70 kg.
Mass of the motorcycle: M = 200 kg.
Speed of the motorcycle: v = 30 m/s.
Total mass of the person and the motorcycle = m + M = 70 kg + 200 kg = 270 kg.
Hence, total mechanical kinetic energy = 1/2 × total mass × speed²
= 1/2 × 270 × 30² Joule
= 121500 Joule.
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When ultraviolet light with a wavelength of 400.0 nm falls on a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1.10 eV. What is the maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface?
The maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface is 1.83 eV.
The maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface is 1.83 eV.Step-by-step explanation:
Given, The wavelength of light, λ₁ = 400.0 nm.
The maximum kinetic energy of the emitted photoelectrons, K₁ = 1.10 eV. We need to find the maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface.
We know that the maximum kinetic energy of the photoelectrons is given byK.E = (hc/λ) - Φwherehc = 4.14 x 10⁻¹⁵ eV s.
Planck's constant = 6.63 x 10⁻³⁴ JsΦ = work function of the metal surface.
The work function of the metal surface is the energy required to remove an electron from the metal surface. It is the minimum energy required to emit an electron from the surface of the metal.
For metals, it lies between 2 eV and 6 eV. We can write K. E₁ = (hc/λ₁) - ΦK.E₂ = (hc/λ₂) - ΦDividing equation (1) by equation (2), we getK.E₁/K.E₂ = λ₂/λ₁.
Substituting the given values, we get
1.10 eV/K.E₂ = 300.0 nm/400.0 nmK.E₂ = (1.10 eV)(400.0 nm)/(300.0 nm)K.E₂ = 1.83 eV
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Which of the following is NOT a type of galaxy? a. spiral c. elliptical b. oval d. irregular
Answer:
b. oval
Explanation:
A galaxy is usually defined as a system that is comprised of infinite stars, planets, solar systems, interstellar gases, and dust particles. It is extremely large and covers a large portion in space. For example, the milky way galaxy is comprised of the solar system, the sun and the earth, and where life exists.
These galaxies are often characterized by a particular type of shape. This includes-
(1) Spiral type of galaxy
(2) Elliptical type
(3) Irregular type
(4) Spiral barred type
There is no oval type of galaxy discovered so far. So, it cannot be considered as a galaxy.
Thus, the correct answer is option (B).
Your answer is B. Oval
How much kinetic energy does a 55 kg object have that is traveling 20m/s?
Answer:
11000 J
Explanation:
Apply the formula: K = 1/2.m.v²
K = 1/2.55.20²
K = 1/2.55.400
K = 55.200
K = 11000 Joules
a charged particle at point p that is instantaneously moving with a velocity of 106 meters per second toward the top of the page experiences a force of 10-7 newtons to the left due to the two currents. determine the magnitude of the charge on the particle and state whether the charge is positive or negative.
Since the magnitude of the charge cannot be negative, we take the absolute value of the charge. The direction of the charge can be determined from the given information that the force is to the left. In this case, the charge must be negative.
To determine the magnitude of the charge on the particle and whether it is positive or negative, we can use the Lorentz force equation. The Lorentz force describes the force experienced by a charged particle moving in a magnetic field.
The equation for the Lorentz force is given by:
F = q * (v x B)
Where:
F is the force experienced by the particle,
q is the charge of the particle,
v is the velocity of the particle,
B is the magnetic field.
In this case, the force experienced by the particle is given as 10^(-7) N to the left, and the velocity of the particle is given as 106 m/s toward the top of the page.
Since the force is to the left, the magnetic field must be directed out of the page (perpendicular to the velocity). Let's assume the magnetic field is B.
Using the cross product of velocity and magnetic field, we have:
v x B = -v * B
Therefore, we can rewrite the Lorentz force equation as:
F = -q * v * B
Comparing this with the given force value, we have:
10^(-7) N = -q * 106 m/s * B
We can see that the magnitude of the charge, |q|, can be determined by dividing both sides by the magnitude of the velocity and the magnetic field:
|q| = (10^(-7) N) / (106 m/s * B)
Since the magnitude of the charge cannot be negative, we take the absolute value of the charge. The direction of the charge can be determined from the given information that the force is to the left. In this case, the charge must be negative.
To determine the exact magnitude of the charge, we would need the value of the magnetic field B. Without that information, we cannot provide a numerical value for the charge.
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What is the change in momentum of a 3 kg object accelerating from 12 m/s to rest?
A pulley of moment of inertia l = ½ mr², mass 0.38 kg, and radius 0.4 cm. A rope with tension 3 N is applied tangentially to the edge of the pulley for a total of 30 seconds.
How fast is the pulley rotating when the 30 seconds are over?
The angular velocity (ω) of the pulley after 30 seconds is the angular acceleration multiplied by the time the force was applied ω = 10465 rad/s.
What is acceleration?Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity that is represented by an object's change in speed, as well as its direction of motion. Acceleration can be caused by a number of different forces, including gravity, friction, tension, and thrust. Acceleration can also be a result of changes in speed, such as when an object goes from a stationary position to a moving position. Acceleration can be measured in meters per second squared (m/s2). The higher the acceleration, the faster the object is moving.
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You are gardening in the peak of summer, it hasn't rained in a week, and your plants are looking rough. You decide to water the plants for an hour. The next day you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. With what you know from class, please try and explain what is happening to your plants.
In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.
However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.
It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.
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please help, i will mark brainliest.
The valid combinations are:
a) 5, 12, and 4b) 7, 7, and 7Total resistance for a circuit in series is R_T = R1 + R2 + R3 + ...
How to determine combinations and total resistance?Question 1
To determine the valid combinations of resistors for a circuit with a total resistance of 21, find combinations where the sum of the individual resistances equals 21. Analyze each option:
5, 12, and 4:
Total resistance = 5 + 12 + 4 = 21 (Valid combination)
7, 7, and 7:
Total resistance = 7 + 7 + 7 = 21 (Valid combination)
3, 3, and 3:
Total resistance = 3 + 3 + 3 = 9 (Invalid combination)
5, 5, and 5:
Total resistance = 5 + 5 + 5 = 15 (Invalid combination)
Therefore, the valid combinations are:
5, 12, and 4
7, 7, and 7
Question 2:
Regarding the second question, the equation that calculates the total resistance for a circuit in series is:
R_T = R1 + R2 + R3 + ...
So, the correct option is:
R_T = R1 + R2 + R3 + ...
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What are the forces that act on the ball?
Answer:
This slide shows the three forces that act on a baseball in flight. The forces are the weight, drag, and lift. Lift and drag are actually two components of a single aerodynamic force acting on the ball. Drag acts in a direction opposite to the motion, and lift acts perpendicular to the motion
a satellite is shot into a low orbit around a newly discovered planet. if the satellite is traveling at 5400 m/s just above the surface, and the acceleration due to gravity on this planet is 16.4 m/s2 , what must be the planet's radius? express your answer with the appropriate units.
To determine the planet's radius, we can use the relationship between centripetal acceleration, gravitational acceleration, and radius.
Satellite velocity (v) = 5400 m/s
Gravitational acceleration (g) = 16.4 m/s^2
The centripetal acceleration (ac) of the satellite is given by: ac = v^2 / r
The gravitational acceleration is provided by: g = G * M / r^2
Where G is the gravitational constant and M is the mass of the planet.
Since the satellite is just above the surface of the planet, we can assume that the radius (r) is the sum of the planet's radius (R) and the height of the satellite (h), which we'll assume to be negligible.
Using these equations, we can set the centripetal acceleration equal to the gravitational acceleration: v^2 / r = G * M / r^2
Simplifying the equation: v^2 = G * M / r
Solving for r:r = G * M / v^2
Now we can substitute the known values:
r = (6.67430 × 10^-11 m^3 kg^-1 s^-2 * M) / (5400 m/s)^2
Since the mass of the planet (M) is not given, we cannot determine the planet's radius without this information.
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in an experiment searching for the photoelectric effect, an incident beam of green light did not eject any electrons from a metal. in order to eject electrons, the experimenter should
Increase the frequency of the incident light. The photoelectric effect occurs when light of a sufficient frequency strikes a metal and frees electrons from the metal's surface. The energy of the incident photons must be greater than the energy required to remove the electrons, known as the work function. Thus, increasing the frequency of the incident light will result in higher energy photons, increasing the likelihood of electron ejection in the photoelectric effect.
The kinetic energy of the photoelectrons that are released will grow as the light amplitude increases, according to the wave model of light, yet the measured current will increase as the frequency increases. In contrast to expectations, studies revealed that raising the light's frequency and amplitude raised the current and the photoelectrons' kinetic energy, respectively.
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Jenna has a cupboard with a door held shut by a magnet on the doorframe and a steel plate on the
door. Jenna's cat can open the door. How can Jenna increase the strength of the magnetic force
holding the door so that her cat cannot open it?
A: Replace the steel plate with a copper plate so a stronger force forms.
B: Add a second steel plate to the door so that both plates touch the magnet.
C: Add a second magnet to the door frame so that both magnets touch the steel plate.
D: Reverse the direction of the magnet so that the opposite pole touches the plate.
In order to prevent her cat from opening the door, Jenna can strengthen the magnetic force holding it. Change the steel plate with a copper plate to create a stronger force.
How can the power of a magnet be increased?You may try applying 15 minutes' worth of linear motion in one direction while rubbing a powerful, heavy-duty magnet against the weaker one. The magnetic domains of the weaker magnet may be able to realign with the help of the stronger magnet.
What causes the magnetic field's amplitude to rise?The strength of a magnetic field is influenced by the magnet's initial strength as well as its distance from the field source. in the event that an electric current created the magnetic field.
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How high (in meters) can a 40 N force move a load, when 395 J of work is done? (round to the nearest 10th)
Answer:
9.9 m
Explanation:
From the question given above, the following data were obtained:
Force (F) = 40 N
Workdone (Wd) = 395 J
Height (h) =?
The height can be obtained as follow:
Potential energy = mgh = Fh
395 = 40 × h
Divide both side by 40
h = 395 / 40
h = 9.9 m
Thus, the height is 9.9 m.
Define work What is the unit for work? For Physics, thanks.
Answer:
Work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement
Explanation:
Need help ASAP please and thank you
Answer: It causes a neap tide
Explanation:
1. the solid cylinder and cylindrical shell in the figure have the same mass, same radius, and they turn on frictionless, horizontal axles. a rope is wrapped around each cylinder and tied to a block. the blocks have the same mass and are held the same height above the ground. both blocks are released simultaneously. which hits the ground first?
The solid cylinder and cylindrical shell will hit the ground at the same time. This is because the mass of the cylinders, radius, and height above the ground are all the same for both the solid cylinder and cylindrical shell.
Additionally, the axles are frictionless, so there is no difference in the amount of rotational inertia between the two cylinders. Therefore, the acceleration due to gravity will be the same for both cylinders and the blocks tied to them. This means that they will both fall at the same rate and hit the ground at the same time.
Both the solid cylinder and the cylindrical shell have the same mass, radius, and are turning on frictionless horizontal axles. Since the blocks attached to them have the same mass and are held at the same height, the key factor in determining which block hits the ground first is the moment of inertia of each cylinder.
Therefore, the block attached to the solid cylinder will hit the ground first.
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A ship sets out to sail to a point 154 km due north. An unexpected storm blows the ship to a point 72 km due east of its starting point. How far must it now sail to reach its original destination
Answer:
170kmExplanation:
If a ship sets out to sail to a point 154 km due north and an unexpected storm blows the ship to a point 72 km due east of its starting point, then the ships distance from the original destination can be gotten by finding the displacement of the ship and this can be gotten by using pythagoras theorem.
Let D be the unknown displacement
According to the theorem;
D² = 154² + 72²
D² = 23716 + 5184
D² = 28900
D = √28900
D = 170km
This means that the ship must now sail a distance of 170km for it to reach its original destination.
Consider a black body of surface area 20.0 cm² and temperature 5000 K . (h) 1.00 mm (infrared light or a microwave)
The total energy emitted by the black body in a thickness of 1.00 mm is approximately 0.00006 joules.
The Stefan-Boltzmann Law states that the radiant energy per unit time per unit area emitted by a black body can be determined using the equation: R = σT⁴, where σ is the Stefan-Boltzmann constant (5.67 x 10⁻⁸ W/m²K⁴), T is the temperature of the black body, and R represents the radiant energy per unit time per unit area.
Using this equation, we can calculate the radiant energy emitted by the black body. For example, if the temperature of the black body is 5000K, the calculation would be as follows:
R = σT⁴ = 5.67 × 10⁻⁸ x (5000)⁴ = 15,023.4375 watts per square meter.
Assuming the area of the black body is 20 cm² (0.002 m²), we can calculate the total radiant energy emitted by the black body:
E = R x A = 15,023.4375 x 0.002 = 30.047 watts.
To calculate the total energy emitted by the black body in a specific thickness (1.00 mm), we use the formula: energy per unit area x area x thickness.
E = E x A x t = 30.047 x 0.002 x 0.001 = 0.00006 joules.
Therefore, the total energy emitted by the black body in a thickness of 1.00 mm is approximately 0.00006 joules.
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calculate the height (in m) of a cliff if it takes 2.32 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.19 m/s. 7.37 correct: your answer is correct. seenkey 7.37 m (b) how long (in s) would it take to reach the ground if it is thrown straight down with the same speed? 0.649 correct: your answer is correct. seenkey 0.649 s
To calculate the height of the cliff and the time it takes for the rock to reach the ground when thrown straight down, we can use the equations of motion.
(a) Height of the cliff:
When the rock is thrown straight up, it reaches its highest point before falling back down. The time it takes for the rock to reach its highest point is equal to the time it takes for the rock to fall back down to the ground.
Using the equation:
s = ut + (1/2)at^2
Where:
s is the distance traveled (height of the cliff),
u is the initial velocity (8.19 m/s),
t is the time (2.32 s),
a is the acceleration due to gravity (-9.8 m/s^2, taking downward direction as negative).
Rearranging the equation:
s = ut + (1/2)at^2
s = (8.19)(2.32) + (1/2)(-9.8)(2.32)^2
s = 19.004 - 25.798
s = -6.794 m
Since the height of a cliff cannot be negative, we take the absolute value of the result:
Height of the cliff = |s| = 6.794 m
So, the height of the cliff is approximately 6.794 meters.
(b) Time to reach the ground when thrown straight down:
When the rock is thrown straight down with the same speed, the initial velocity (u) is still 8.19 m/s, but the acceleration due to gravity (a) remains -9.8 m/s^2.
Using the equation:
s = ut + (1/2)at^2
Where:
s is the distance traveled (height of the cliff, which is now negative),
u is the initial velocity (8.19 m/s),
t is the time we want to find,
a is the acceleration due to gravity (-9.8 m/s^2, taking downward direction as negative).
Substituting the known values:
-6.794 = (8.19)t + (1/2)(-9.8)t^2
Rearranging the equation:
-6.794 = 8.19t - 4.9t^2
Rearranging further:
4.9t^2 - 8.19t - 6.794 = 0
Solving this quadratic equation, we find two possible values for t: 0.828 seconds and 1.303 seconds. Since we are considering the time it takes to reach the ground, the valid solution is t = 0.828 seconds.
Therefore, when the rock is thrown straight down, it takes approximately 0.828 seconds to reach the ground.
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A gas occupies a volume of 35.9 ml at a temperature of 22.0 C. What volume will the same gas occupy at a temperature of 28.0 C?
The volume of the gas after an increase in temperature to 28.0 C is 45.69 ml
Given DataV1 = 35.9mlT1 = 22.0 DegreesT2 = 28.0 DegreesWe know that the expression relating volume and temperature is given as
V1/T1 = V2/T2
Substituting our given data into the expression above we have
35.9/22.0 = V2/28.0
Making V2 the subject of the formula we have
V2 = 35.9*28.0/22/0
V2 = 1005.2/22.0
V2 = 45.69 ml
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