Answer:
Q4 : False
Q5: False
Explanation:
Those acts are morally praiseworthy that are done out of a sense of duty rather than for the consequences that are expected, particularly the consequences to self.
which area of the periodic table are you likely
to find semiconductors? Explain
Answer:
The elemental semiconductors are those composed of single species of atoms, such as silicon (Si), germanium (Ge), and tin (Sn) in column IV and selenium (Se) and tellurium (Te) in column VI of the periodic table.Explanation:
Semiconductors are found in the p-block of the periodic table as they usually have 4 valence electrons.
What is periodic table?Periodic table is a tabular arrangement of elements in the form of a table. In the periodic table, elements are arranged according to the modern periodic law which states that the properties of elements are a periodic function of their atomic numbers.
It is called as periodic because properties repeat after regular intervals of atomic numbers . It is a tabular arrangement consisting of seven horizontal rows called periods and eighteen vertical columns called groups.
Elements present in the same group have same number of valence electrons and hence have similar properties while elements present in the same period show gradual variation in properties due to addition of one electron for each successive element in a period.
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A 1400 kg catapul launches a 75 kg boulder at a nearby castle. What is the recoil speed of the catapult if the rock is launched with a velocity of 130 m/s
The recoil speed of the catapult is 6.96 m/s.
What is velocity?
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Mass of the catapult : M = 1400 kg.
Mass of the boulder: m = 75 kg.
Velocity of the rock: v = 130 m/s.
We have to find: recoil speed of the catapult: V = ?
From the principle of conservation of linear momentum:
momentum of the boulder = - momentum of the catapult
⇒ mv = - MV
⇒ v = -mv/M = - (75 × 130)/1400 m/s = - 6.96 m/s
Negative sign indicates recoil of the catapult is in opposite direction of motion of the boulder.
So, the recoil speed of the catapult is 6.96 m/s.
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A elephant kicks a 5.0 kg stone with 150 J of kinetic energy.
What is the stone's speed?
Please help!
A elephant kicks a 5.0 kg stone with 150 J of kinetic energy.
What is the stone’s speed?
Answer: 7.75 m/s
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
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What will be the potential energy of a body if its mass is 30 kg and located 30m high from the ground? SE
The potential energy of a body with given mass and height is, P.E. = 8,820 J.
Equation :P.E. = mgh
where,
m is the mass in kilograms,
g is the acceleration due to gravity
h is the height in meters
Given data,
mass = 30 kg
height = 30m
acceleration due to gravity = 9.8 m / s²
P.E. = ?
Using formula,
P.E. = mgh
Putting values,
P.E. = 30 x 9.8 x 30
P.E. = 8,820 J
What means potential energy?Potential energy is a form of energy that is stored but is dependent on the relative positions of different system components. Stretching or compressing a spring increases its potential energy. A steel ball has more potential energy when it is raised above the surface of the earth than when it is brought to Earth.
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A vehicle, starting from rest, accelerates on a circular track with a 335m diameter.
The distance travelled by the vehicle around the circular track is 1,052.4 m.
What is the distance travelled by the vehicle in one complete cycle?
The distance travelled by the vehicle in one complete cycle is calculated by using the following equation as show below.
d = 2πr
d = πd
Where;
r is the radius of the circular trackd is the diameter of the circular trackIn one complete cycle, the vehicle will travel the circular track only once.
d = π(335 m)
d = 1,052.4 m
Thus, the distance travelled by the vehicle around the circular track is a function of the diameter of the circular track.
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The complete question is below:
A vehicle, starting from rest, accelerates on a circular track with a 335m diameter. What is the distance travelled by the vehicle when it makes one complete cycle?
Highway safety engineers want to design roadside barriers that will crumple
in the event that a car drives off the road and collides with them, slowing
down the car more gradually. The average person has a mass of 68 kg and
travels on a highway at a velocity of 27 m/s. If the engineers know that the
maximum force that a person can safely withstand is 1650 N, approximately
how much time is required to crumple the barrier to safely slow the person
with this force?
A 1.5s
B. 0.7 s
C. 1.1 s
D. 2.1 s
The time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately C, 1.1 seconds.
How to find time?To determine the time required to crumple the barrier and safely slow down the person with a maximum force of 1650 N, use the equation of motion:
F = m × a
where:
F = force
m = mass
a = acceleration
Given:
m = 68 kg
F = 1650 N
Find the acceleration (a) first. Rearranging the equation:
a = F / m
Substituting the values:
a = 1650 N / 68 kg
a ≈ 24.26 m/s²
Now, use the equation of motion to find the time (t):
v = u + at
where:
v = final velocity (0 m/s as the person comes to a stop)
u = initial velocity (27 m/s)
a = acceleration (24.26 m/s²)
t = time
Rearranging the equation:
t = (v - u) / a
Substituting the values:
t = (0 m/s - 27 m/s) / 24.26 m/s²
t ≈ -27 m/s / 24.26 m/s²
t ≈ -1.11 s
The negative sign indicates that the time is in the opposite direction to the initial velocity. Taking the absolute value, the time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately 1.11 seconds.
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2. The following diagram shows a metal ball and ring apparatus. The ring and ball are both made of brass. At room temperature, the ball is just the right size to pass through the ring. When the ball is heated, it is unable to pass through the ring. Which of the following is NOT true? A The volume of the ball increased. B The mass of the ball increased. C. The speed at which the particles move increased. D The spaces between the particles increased. Not True
The statement that is NOT true is "the spaces between the particles increased.
option D.
What is effect of temperature on volume?If we consider the solids and liquids, when the temperature increases the molecules gain energy and start moving in all directions. This expands the substance and the volume of the substance increases.
Similar, when the ball is heated, the volume of the ball increases due to thermal expansion.
As the temperature increases, the average kinetic energy of the particles within the ball also increases, causing them to move faster.
However, the spaces between the particles do not necessarily increase. In fact, the expansion of the ball occurs due to the particles themselves moving farther apart, but the intermolecular spacing within the ball remains relatively constant.
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A ceramic capacitor has an effective plate area of 4 cm2 separated by 0.1 mm of ceramic of relative
permittivity 100.
a) Calculate the capacitance of the capacitor in picofarads.
b) If the capacitor in part (a) is given a charge of 1.2 μC what will be the pd between the plates?
a) The capacitance of the ceramic capacitor is approximately 354.16 pF.
b) The potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.
To calculate the capacitance of the ceramic capacitor, we can use the formula:
C = (ε₀ * εᵣ * A) / d
where:
C is the capacitance,
ε₀ is the vacuum permittivity (approximately 8.854 x 10^(-12) F/m),
εᵣ is the relative permittivity of the ceramic (given as 100),
A is the effective plate area (given as 4 cm², which is equal to 4 x 10^(-4) m²),
d is the separation between the plates (given as 0.1 mm, which is equal to 0.1 x 10^(-3) m).
Let's calculate the capacitance in picofarads (pF):
a) Calculation of capacitance (C):
C = (ε₀ * εᵣ * A) / d
= (8.854 x 10^(-12) F/m * 100 * 4 x 10^(-4) m²) / (0.1 x 10^(-3) m)
= (8.854 x 100 x 4) / 0.1
= 354.16 pF
Therefore, the capacitance of the ceramic capacitor is approximately 354.16 pF.
b) To find the potential difference (PD) between the plates when the capacitor is given a charge of 1.2 μC (microcoulombs), we can use the formula:
PD = Q / C
where:
PD is the potential difference,
Q is the charge (given as 1.2 μC, which is equal to 1.2 x 10^(-6) C),
C is the capacitance (calculated in part a) as 354.16 pF, which is equal to 354.16 x 10^(-12) F).
Let's calculate the potential difference (PD):
b) Calculation of potential difference (PD):
PD = Q / C
= (1.2 x 10^(-6) C) / (354.16 x 10^(-12) F)
= 3.39 x 10^6 V
Therefore, the potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.
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A 7.50 kg bowling ball moving directly east at 6.42 m/s strikes a 1.60 kg bowling pin at rest. After, the pin moves 14.8 m/s at a -47.0° angle. What is the x and y component of the ball’s final velocity?
The x component of the ball's final velocity is 7.35 m/s.
The y component of the ball's final velocity is 4.90 m/s.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given that:
Mass of the ball: M = 6.35 kg.
Initial velocity of ball along x axis: U = 8.49 m/s.
Mass of the pin at rest: m = 1.59 kg.
Final velocity of pin at a -77.0° angle.: v = 20.1 m/s
Let the x component of the ball's final velocity is V₁ m/s.
The y component of the ball's final velocity is V₂ m/s.
Appling conservation of momentum along x axis:
MU + m.0 = MV₁ + mvcos(-77.0°)
⇒ V₁ = u - (m/M) v cos(-77.0°)
After putting the values we get:
V₁ = 7.35 m/s.
Appling conservation of momentum along y-axis:
M.0 + m.0 = MV₂ + mvsin(-77.0°)
⇒ V₂ = - (m/M) vsin(-77.0°)
After putting the values we get:
V₂ = 4.90 m/s.
Hence, The x component of the ball's final velocity is 7.35 m/s.
The y component of the ball's final velocity is 4.90 m/s.
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Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.
The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.
Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.
During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.
The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.
By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.
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Gloria is Latin for what?
Answer:
Gloria is the anglicized form of the Latin feminine given name gloriae (Latin pronunciation: ['gloːria]), meaning immortal glory; glory, fame, renown, praise, honor.
Explanation:
mark me as brainlist
Glory is Latin for Glory to God in the highest.
A box with weight of magnitude F_G = 2.00 N is lowered by a rope down a smooth plane that is inclined at an angle φ = 30.0 degrees about ve the horizontal. The normal force acting on the box has a magnitude n = 1.73 N, the tension force is 1.00 N, and the displacement Δr of the box is 1.80 m down the cloned plane.
What is the work W_G done on the box by the gravity?
Answer:
1.8 J
Explanation:
I had this exact question today and found someone who had solved it before, this was their response to the work done by gravity. They used the name "physicsmom"
Vertical distance = 1.8 sin 30 = .9 m
W = 2 N * .9 m = 1.8J
Good luck! I hope this helps!
The work done on the box by the gravity is 0.072 J.
The given parameters;
weight of the box, \(F_g\) = 2 Ninclination of the rope, φ = 30⁰normal force acting on the box, n = 1.73 Ntension on the rope, T = 1 Ndisplacement of the box, Δr = 1.8 mThe work done on the box by gravity is calculated as follows;
W = FΔr
where;
F is the net horizontal force on the block
The net horizontal force on the box is calculated as follows;
\(\Sigma F_x = F_g sin(\theta ) - F_k\\\\ \Sigma F_x = F_g sin(\theta ) - \mu_k F_n \\\\ \Sigma F_x = 2 \times sin(30 ) - (tan \theta) \times F_n\\\\ \Sigma F_x = 1 - (tan\ 30) \times 1.73\\\\ \Sigma F_x = 0.04 \ N\)
The work done on the box by gravity is calculated as;
W = 0.04 x 1.8
W = 0.072 J.
Thus, the work done on the box by the gravity is 0.072 J.
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What is the answer to this?
Answer:
B
Explanation:
Answer:
B
Explanation:
A bullet of mass 0.010 kg and speed of 100 m/s is brought to rest in a wooden block
after penetrating a distance of 0.10 m. The work done on the bullet by the block is
A.
50 J.
B.
-
50 J.
C.
0.001 J.
D.
-
0.001 J.
E.
zero.
Answer:
A 50J
Explanation:
Bullet work by wooden block
Abdoul kasum
A bullet of mass 0.010 kg and speed of 100 m/s is brought to rest in a wooden block
after penetrating a distance of 0.10 m. The work done on the bullet by the block is
When the bullet penetrates the wooden block, it experiences a force in the opposite direction to its motion, causing it to slow down and eventually come to a stop. This force does work on the bullet, reducing its kinetic energy and transferring it to the wooden block as heat and sound.
The work done on the bullet by the block is equal to the change in the bullet's kinetic energy. The initial kinetic energy of the bullet is:
KEi = (1/2)mv^2
= (1/2)(0.010 kg)(100 m/s)^2
= 50 J
At the point where the bullet comes to rest, its kinetic energy is zero, so the change in kinetic energy is:
ΔKE = KEf - KEi
= 0 - 50 J
= -50 J
The negative sign indicates that the bullet has lost 50 J of kinetic energy. This energy has been transferred to the wooden block in the form of heat and sound.
Therefore, the work done on the bullet by the block is +50 J. The positive sign indicates that the work is done by the block on the bullet, which is consistent with the fact that the block exerts a force on the bullet in the opposite direction to its motion.
A Student 330 m 990m from another tall flip between the the Student stands Sound Interval beteeen cliff is cliff from of 1 st and 630 tall Hip which speed of 330 if the 330 m/s 2nd eh what is echo?
The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.
Let's break down the distances and calculate the time for each part of the journey:
Distance from the student to the first cliff: 330 meters
Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second
Distance from the first cliff to the second cliff: 990 meters
Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds
Distance from the second cliff back to the student: 990 meters
Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds
Now, we can calculate the total interval between the first and second echo by adding up the individual times:
Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds
Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.
It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.
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Note the complete questions is:
A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?
A wheel rotates with a constant angular acceleration of 6.0 rad/s2. During a certain time interval its angular displacement is 8.0 rad. At the end of the interval its angular velocity is 14.0 rad/s. What is its angular velocity at the beginning of the interval
The angular velocity at the beginning of the interval of the wheel rotating at a constant angular acceleration is determined as 10 rad/s.
Initial angular velocity of the wheelThe initial angular velocity of the wheel is determined by applying the kinematic equation as shown below;
ωf² = ωi² + 2αθ
where;
ωf is the final angular velocityωi is the initial angular velocityα is angular accelerationθ is angular displacementSubstitute the given parameters and solve for the initial angular velocity.
14² = ωi² + 2(6)(8)
196 = ωi² + 96
ωi² = 196 - 96
ωi² = 100
ωi = √100
ωi = 10 rad/s
Thus, the initial angular velocity of the wheel is 10 rad/s.
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help pls!!
Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.
A) What is the amplitude of the wave ? Include correct units.
B) Use the graph to determine the time of one wave. Use it to find the frequency.
C) If the speed of the wave is 25 cm/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.
(a) The amplitude of the wave is determined as 8 cm.
(b) The period of the wave motion is 20 s and the frequency of the wave is 0.05 Hz
(c) The wavelength of the wave is 500 cm.
What is the amplitude of the wave ?(a) The amplitude of the wave is the maximum displacement of the wave.
from the graph, amplitude of the wave = 8 cm
(b) The period of the wave motion is calculated as;
T = 20 s
The frequency of the wave = 1/T = 1/20 s = 0.05 Hz
(c) The wavelength of the wave is calculated by applying the following wave formula.
λ = v / f
λ = 25 cm/s / 0.05 Hz
λ = 500 cm
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(a)
Calculate the height (in m) of a cliff if it takes 2.37 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. (Enter a number.)
(b)
How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.)
(a) Let the base of the cliff be the origin, so that the rock's height y at time t is
y = h + (8.19 m/s) t - 1/2 gt²
where h is the height of the cliff. The rock hits the ground when y = 0. Solve for h when t = 2.37 s :
0 = h + (8.19 m/s) (2.37 s) - 1/2 (9.80 m/s²) (2.37 s)²
⇒ h ≈ 8.11 m
(b) If the rock is thrown straight down with the same speed, its height at time t would be
y = 8.11 m - (8.19 m/s) t - 1/2 gt²
Solve for t when y = 0 (use the quadratic formula and ignore the negative solution) :
t ≈ 0.699 s
When a moving object reduces its speed, what happens to the object's acceleration in relation to its velocity?
Answer:
When speed reduces, acceleration decreases
Explanation:
From first equation of motion;
\({ \tt{v = u + at}}\)
When time is constant:
\({ \tt{v = 0 + kt}} \\ { \tt{v = kt}} \\{ \tt{v \: \alpha \: \: a}}\)
When speed is decreasing, velocity and acceleration are in opposite directions.
How long would it take to travel on foot from one side of China to another????
Assuming an average walking speed of 5 kilometers per hour, it would take approximately 42 days of continuous walking to travel on foot from one end of China to the other, but the actual time could vary widely depending on various factors.
What is the estimated time to travel on foot from one side of China to another?
The distance from the easternmost point of China to the westernmost point is approximately 5,000 kilometers (3,107 miles), and the time it would take to travel on foot would depend on several factors, including your walking speed, the terrain, the weather conditions, and your physical stamina.
Assuming an average walking speed of 5 kilometers per hour (3.1 miles per hour), it would take approximately 1,000 hours to walk from one end of China to the other. This translates to roughly 42 days of continuous walking, without taking any rest days.
However, this is just a rough estimate, and the actual time it would take could vary widely depending on the factors mentioned above. Additionally, it's important to note that such a journey would be incredibly physically demanding and potentially dangerous, so it's not recommended without proper preparation, planning, and support.
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does the stirling engine follow the law of conservation energy
Answer:
Conservation of Energy: Like all things, Stirling Engines follow the conservation of energy principle (all the energy input is accounted for in the output in one form or another). ... The hot one supplies all of the energy QH, while the cold one removes energy QC (a necessary part of the cycle).
Explanation:
Answer: Yes
Explanation: All the energy input is accounted for in the output in one form or another
You have been managing your time for years so you probably already have some ideas about what works for you. What are some effective time management strategies you have used at home at school or in the workplace? Why were they successful?
One of the most effective time management strategies that I have used is creating a to-do list. They are successful because they help me to prioritize tasks, remain organized, increase productivity, and reduce stress.
One of the most effective time management strategies that I have used is creating a to-do list.
Creating a to-do list helps me to prioritize tasks and ensures that I do not forget any important tasks.
When creating a to-do list, I ensure that I put the most important tasks at the top of the list and then work my way down.
The to-do list has helped me to organize my work, manage my time effectively and reduce stress.
Another effective strategy that I have used is breaking large tasks into smaller manageable tasks.
When dealing with complex tasks, I break them down into smaller, more manageable chunks.
This helps me to focus on the individual parts of the task, which are easier to handle and manage.
When I focus on smaller tasks, I find it easier to get started, and I gain momentum as I make progress on each small task.
This method has helped me to increase my productivity and reduce the stress that comes with handling large tasks.
In conclusion, the above time management strategies have helped me to manage my time effectively at home, school, and in the workplace.
They are successful because they help me to prioritize tasks, remain organized, increase productivity, and reduce stress.
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A student wants to know: “How does the number of lightbulbs affect current in a series circuit?” Identify the independent and dependent variables in the experiment.Group of answer choicesThe independent variable is current and the dependent variable is the number of lightbulbs.The independent variable is the number of lightbulbs and the dependent variable is current.The independent variable is the number of lightbulbs and the dependent variable is series.The independent variable is series and the dependent variable is the number of lightbulbs
ANSWER:
2nd option: The independent variable is the number of lightbulbs and the dependent variable is current.
STEP-BY-STEP EXPLANATION:
A dependent variable represents a quantity whose value depends on how the independent variable is changed. The dependent variable is the amount of money you get, since the amount of money you earn depends on the number of tasks you do.
Knowing the above and the statement, we can determine that the current depends on the number of lightbulbs. This means that the dependent variable is the current and the independent variable is the number of lightbulbs.
Therefore, the correct answer is 2nd option: The independent variable is the number of lightbulbs and the dependent variable is current.
To increase the acceleration on the new station due to Earth's gravity, you decide
either to place it 1.2RE from Earth or 1.3RE from Earth. How would you determine
the best location? Support your answer with math reasoning.
Does this location prevent the new station from being in free-fall? Explain
To increase the acceleration due to gravity, we will place the new station in a shorter radius which is 1.2 RE.
What is acceleration due to gravity?This is free fall of an object under the influence of gravitational pull.
The acceleration due to gravity of the new station due to Earth's gravity is calculated as follows;
\(g = \frac{GM}{R^2}\)
where;
g is the acceleration due to gravityG is gravitational constantM is the mass of the earthR is the radius of the earthTo increase the acceleration due to gravity, the radius of the earth must be decreased. Thus, we will place the new station in a shorter radius which is 1.2 RE.
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Spin cycles of washing machines remove water from clothes by producing a large radial acceleration at the rim of the cylindrical tub that holds the water and clothes. Suppose that the diameter of the tub in a typical home washing machine is 50 cm.
Required:
What is the rotation rate, in rev/min, of the tub during the spin cycle if the radial acceleration of points on the tub wall is 3g?
Answer:
The rate of rotation is 1123.6 rpm.
Explanation:
diameter of tub =50 cm
radius of tub, r = 25 cm = 0.25 m
Acceleration, a = 3 g
The centripetal acceleration is given by
\(a = r w^2\\\\3\times 9.8 =0.25 \times w^2\\\\w = 117.6 rad/s\\\\w = 2\pi n \\\\117.6 = 2\times 3.14 \times n\\\\n = 18.73 rps = 1123.6 rpm\)
The pressure of a gas at the triple point of water is 1.50 atm. If its volume remains unchanged, what will its pressure be at the temperature at which CO2 solidifies?
The pressure of a gas at the triple point of water is 1.50 atm, which means it is at the temperature and pressure where water can exist as a solid, liquid, and gas simultaneously.
To find the pressure of the gas at the temperature at which CO2 solidifies, we need to know the triple point of CO2. The triple point of CO2 is -56.6°C and 5.1 atm.
If the volume of the gas remains unchanged, then its pressure will change with a change in temperature. Using the ideal gas law, PV = nRT, we can find the new pressure of the gas:
P1V1 = P2V2
At the triple point of water:
P1 = 1.50 atm
V1 = V (unchanged)
T1 = 0.01°C (triple point of water)
At the triple point of CO2:
P2 = 5.1 atm
V2 = V1 (unchanged)
T2 = -56.6°C
Using the ideal gas law and solving for P2:
P2 = P1(T2/T1)
P2 = 1.5 x (-56.6+273.15) / (0.01+273.15)
P2 = 0.818 atm
Therefore, the pressure of the gas at the temperature at which CO2 solidifies is 0.818 atm.
What is quality? Does it have any meaning in the superheated vapor region?
Answer:
Fraction of vapor in liquid-vapor region is called quality. since in superheated zone all the liquid has been vaporised hence it doesn't have any meaning in superheated region.
Quality means how something bad or good is. it doesn't have any meaning with superheated vapor region.
What is superheated state ?superheated state is the phenomenon in which a liquid is heated to a temperature higher than its boiling point, without boiling.
Boling point is a point of temperature where liquid boils. Liquid boils when vapor pressure becomes exactly equal to the atmospheric pressure. we cannot increase temperature above the boiling point when the experiment is performing on the atmospheric pressure (imagine boiling of water in open vessel). But what if we increase the pressure above the surface of the liquid, then to boil the liquid, vapor pressure should be increased. In order to increase vapor pressure liquid gains more temperature more than boiling point. This phenomenon is called as superheated state.
Just increase the pressure on the liquid, there it require more vapor pressure to become equal to the pressure given on it. more vapor pressure is attained by gaining more temperature than boiling point. Then we call it as liquid has gone to superheated state.
Hence there is no meaning of quality with super heated vapor region.
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For example, we can take Water
In (A) Water has same mass and great volume
In (B) Water has same mass and lower volume
Will there be any change in its density then?
Answer:
yes there will be change in its density
A student is on a balcony 15.6 m above the street. She throws a ball vertically downward at 10.7 m/s.
What is the velocity of the ball as it strikes the ground?
Answer:
20.65 m/s
Explanation:
You are gonna wanna use a calculator for this one
so we will write all the known variables:
h = 15.6 m
initial velocity (u) = 10.7 m/s
acceleration (a) = 10 m/s/s (gravity)
From the third equation of motion:
v² - u² = 2ah
v² - (10.7)² = 2(10)(15.5)
v² - (10.7)² = 312
v² = 312 + 114.49
v² = 426.49
v = 20.65 m/s