Charles' law stipulates that the volume of a given amount of gas is exactly related to its temperature on the kelvin scale while the pressure is held constant.
What is nitrogen most frequently used for?
On nitrogen, the chemical industry depends. It is used to make fertilizers, dyes, nylon, nitric acid, and explosives. To make these products, nitrogen must first be coupled with hydrogen to make ammonia. For this, the Haber process is employed.
Is nitrogen bad for people?
People lose their lives every year by breathing "air" with insufficient oxygen. Many people believe nitrogen gas is safe because it makes up 78 percent of the air we breathe. However, breathing nitrogen is only safe when it is combined with the right proportion of other gases.
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Kara Less was applying her makeup when she drove into South's busy parking lot last Friday morning. Unaware that Lisa Ford was stopped in her lane 30 feet ahead, Kara rear-ended Lisa's rented Taurus. Kara's 1100-kg car was moving at 10.9 m/s and stopped in 0.159 seconds.
The change in momentum of Kara's car is -1.43 × 10⁴ kg.m/s, the magnitude of force is -1.021 × 10⁵ N.
What is Force?Force is the external agent which causes the motion of an object or it is the resistant which makes the object come at rest from motion. It is a vector quantity, because it has both the magnitude and direction.
Mass of Kara's car = 1300 Kg
moving with speed = 11 m/s
time taken to stop = 0.14 s
final velocity = 0 m/s
distance between Lisa ford and Kara's car = 30 m
a) change in momentum of Kara's car
Δ P = m Δ v
Δ P = m(vf - vi)
Δ P = 1300 (0 - 11)
Δ P = -1.43 × 10⁴ kg.m/s
The impulse is equal to the change in momentum of the car
I = -1.43 × 10⁴ kg.m/s
Magnitude of the force experienced by Kara
I = F × t
where, I is impulse acting on the car
t is time
- 1.43 × 10⁴ = F × 0.14
F = -1.021 × 10⁵ N
Negative sign represents the direction of the force.
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Your question is incomplete, most probably the complete question is:
Kara Less was applying her makeup when she drove into South's busy parking lot last Friday morning. Unaware that Lisa Ford was stopped in her lane 30 feet ahead, Kara rear-ended Lisa's rented Taurus. Kara's 1300-kg car was moving at 11 m/s and stopped in 0.14 seconds.
a. Determine the momentum change of Kara's car.
b. Determine the impulse experienced by Kara's car.
c. Determine the magnitude of the force experienced by Kara's car.
if I have two forces pushing on an object 5n to the left and 10 N to the right, is this object balanced? why or why not?
Answer:
It is unbalanced
Explanation:
There are 5 more newtons of force being exerted toward the right.
A 15 year old boy requires eyeglasses with lenses of 2 diopters power in order to read a book at 25 cm. Five years later he finds that while wearing the same glasses, he must hold a book 40 cm from his eyes. What power of lenses does he require at 20 years in order to read a book at 25 cm?
At 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
How to solve for the power of lenses1/f1 = 1/v - 1/u1
1/f1 = 1/∞ - 1/0.25 (converting 25 cm to meters)
1/f1 = 0 - 4
1/f1 = -4
f1 = -1/4
f1 = -0.25 meters
The initial lens power (P1) is the reciprocal of the focal length:
P1 = 1/f1
P1 = 1/-0.25
P1 = -4 diopters
Now let's calculate the final focal length (f2) using the final distance (v2) of 40 cm:
1/f2 = 1/v2 - 1/u1
1/f2 = 1/0.40 - 1/0.25
1/f2 = 2.5 - 4
1/f2 = -1.5
f2 = -1/1.5
f2 = -0.67 meters
The final lens power (P2) is the reciprocal of the focal length:
P2 = 1/f2
P2 = 1/-0.67
P2 ≈ -1.49 diopters
Therefore, at 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
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answers If the motor is to accelerate the elevator car upward at 1.8 m/s2, how much torque must it generate
Answer:
Hello your question is incomplete attached is the missing diagram and solution
One elevator arrangement includes the passenger car, a counterweight, and two large pulleys, as shown in (Figure 1). Each pulley has a radius of 1.2 m and a moment of inertia of 410 kg⋅m2. The top pulley is driven by a motor. The elevator car plus passengers has a mass of 3000 kg, and the counterweight has a mass of 2600 kg.
a) If the motor is to accelerate the elevator car upward at 1.8 m/s2, how much torque must it generate? Express your answer to two significant figures and include appropriate units.
Answer : 6030 N.m ≈ 6000 N.m
Explanation:
To determine how much torque the motor accelerating at 1.8 m/s^s will generate we will have to determine T1 ( tension generated for upward acceleration in the rope ) and Tg ( tension generated in the rope when there is a counterweight accelerating downwards)
Torque in the pulley (T2) = (T1 - Tg ) r
torque generated by motor = T1 + T2 = 1230 + 4800 = 6030 N.m to two significant figures = 6000 N.m
r = 1.2
a = 1.8
attached below is the remaining part of the solution
why do bees sting i think they do because when the get disturbed they use thier stinger to sting people
A motorcycle, travelling cast, starts from rest, moves in a straight line with a constant acceleration and covers a distance of 64 m in 4 s.Calculate a) Its acceleration b) Its final velocity c) At what time the motorcycle had covered half the total distance d) What distance the motorcycle had covered in half the total time.
The motorcycle had covered a distance of 16 meters in half the total time.
a) To calculate the acceleration, we can use the formula:
a = (v - u) / t
where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.
Given:
u = 0 m/s (initial velocity)
v = ? (final velocity)
t = 4 s (time)
s = 64 m (distance)
Using the equation of motion:
s = ut + 1/2at^2
We can rearrange the equation to solve for acceleration:
a = 2s / t^2
a = 2(64) / (4)^2
a = 128 / 16
a = 8 m/s^2
Therefore, the acceleration of the motorcycle is 8 m/s^2.
b) To find the final velocity, we can use the formula:
v = u + at
v = 0 + (8)(4)
v = 32 m/s
Therefore, the final velocity of the motorcycle is 32 m/s.
c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:
s = ut + 1/2at^2
32 = 0 + 1/2(8)t^2
16 = 4t^2
t^2 = 4
t = 2 s
Therefore, the motorcycle had covered half the total distance at 2 seconds.
d) To calculate the distance covered in half the total time, we use the formula:
s = ut + 1/2at^2
s = 0 + 1/2(8)(2)^2
s = 0 + 1/2(8)(4)
s = 0 + 16
s = 16 m
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Which best compares the temperatures of the substances?
O Substance X has the highest temperature because its particles have more kinetic energy.
O Substance X has the highest temperature because it has fewer particles.
O Substance Y has the highest temperature because its particles have more kinetic energy.
O Substance Y has the highest temperature because it has more particles.
The temperature of a substance is determined by the average kinetic energy of its particles, so Substance X and Substance Y have higher temperatures because their particles have more kinetic energy. The number of particles does not affect temperature. The correct options are (A) and (C).
The temperature of a substance is a measure of the average kinetic energy of its particles. When two substances are compared, the substance with the higher temperature has a higher average kinetic energy. The temperature of a substance is affected by the number of particles in it, as well as their kinetic energy. In general, if two substances have the same number of particles but different temperatures, the substance with the higher temperature has more kinetic energy. The options provided include two statements for each substance that describe why it has a higher temperature. Substance X has the highest temperature because its particles have more kinetic energy and Substance X has the highest temperature because it has fewer particles. Substance Y has the highest temperature because its particles have more kinetic energy and Substance Y has the highest temperature because it has more particles.Only one of these statements can be true. The first statement for each substance is correct. This is because the temperature of a substance is determined by the average kinetic energy of its particles. Substance X has a higher temperature because its particles have more kinetic energy. Similarly, Substance Y has a higher temperature because its particles have more kinetic energy. The number of particles in the substance does not affect its temperature.Therefore, option (A) Substance X has the highest temperature because its particles have more kinetic energy, and option (C) Substance Y has the highest temperature because its particles have more kinetic energy are the correct answers.For more questions on temperature
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A long jumper with a speed of 120m/s at an angle of 30 degrees with respect to the horizontal. how far did he land in the sand from his jump spot?
Given data:
* The initial velocity of the jumper is,
\(u=120ms^{-1}\)* The angle between the initial velocity and the horizontal line is,
\(\theta=30^{\circ}\)Solution:
The horizontal range of the projectile motion by the jumper is,
\(H=\frac{u^2\sin (2\theta)}{g}\)where g is the accleration due to gravity, and H is the horizontal range.
Substituting the known values,
\(\begin{gathered} H=\frac{120^2\times\sin (2\times30^{\circ})}{9.8} \\ H=1272.53\text{ m} \end{gathered}\)Thus, the distance of the jump from its spot is 1272.53 m.
(c) The ball leaves the tennis player's racket at a speed of 50 m/s and travels a
distance of 20 m before bouncing.
(i) Calculate how long it takes the ball to travel this distance.
(1 mark)
Answer:
t=0.417s
Explanation:
After the ball hits the racket it is in freefall(assume air resistance as negligible)
so a=-g
use
x-x0=v0t+1/2at^2
Plug in givens
20=50t-4.9t^2
Solve quadratic equation using quadratic formula
t= 0.417 seconds, (the other answer is extraneous because it is too big because in 1 second, the ball travels 50 meters)
An 8.0 Kg mass is placed at = 3 where should a 10 Kg mass be placed along the − so that the center of mass will be located ay = 4.5?
Answer:
Therefore, the 10 kg mass should be placed at x = 5.7 m along the x-axis to achieve a center of mass located at y = 4.5 m.
Explanation:
To find the position along the x-axis where a 10 kg mass should be placed such that the center of mass is located at y = 4.5, we can use the formula for the center of mass:
x_cm = (m1 * x1 + m2 * x2) / (m1 + m2)
Here, m1 and x1 represent the mass and position of the 8 kg mass, respectively. m2 is the mass of the 10 kg mass, and we need to find x2, its position.
Given:
m1 = 8 kg
x1 = 3 m
x_cm = unknown (to be found)
m2 = 10 kg
y_cm = 4.5 m
Since the center of mass is at y = 4.5, we only need to consider the y-coordinate when calculating the center of mass position along the x-axis.
To solve for x2, we can rearrange the formula as follows:
x2 = (x_cm * (m1 + m2) - m1 * x1) / m2
Substituting the given values:
x2 = (x_cm * (8 kg + 10 kg) - 8 kg * 3 m) / 10 kg
Simplifying:
x2 = (x_cm * 18 kg - 24 kg*m) / 10 kg
Now, we can set the y-coordinate of the center of mass equal to 4.5 m and solve for x_cm:
4.5 m = (8 kg * 3 m + 10 kg * x2) / (8 kg + 10 kg)
Simplifying:
4.5 m = (24 kg + 10 kg * x2) / 18 kg
Multiplying both sides by 18 kg:
81 kg*m = 24 kg + 10 kg * x2
Subtracting 24 kg from both sides:
10 kg * x2 = 81 kg*m - 24 kg
Dividing both sides by 10 kg:
x2 = (81 kg*m - 24 kg) / 10 kg
Simplifying:
x2 = 8.1 m - 2.4 m
x2 = 5.7 m
(brainlest?) ples:(
Answer:
the 10 kg mass should be placed at x = -2.4 m to achieve a center of mass at y = 4.5 m.
Explanation:
To find the position along the x-axis where the 10 kg mass should be placed so that the center of mass is located at y = 4.5, we can use the principle of the center of mass.
The center of mass of a system is given by the equation:
x_cm = (m1x1 + m2x2) / (m1 + m2),
where x_cm is the x-coordinate of the center of mass, m1 and m2 are the masses, and x1 and x2 are the positions along the x-axis.
Given:
m1 = 8 kg,
x1 = 3 m,
m2 = 10 kg,
y_cm = 4.5 m.
To solve for x2, we need to find the x-coordinate of the center of mass (x_cm) by using the y-coordinate:
y_cm = (m1y1 + m2y2) / (m1 + m2),
where y1 and y2 are the positions along the y-axis.
Rearranging the equation and substituting the given values:
4.5 = (83 + 10y2) / (8 + 10).
Simplifying the equation:
4.5 = (24 + 10*y2) / 18.
Multiplying both sides by 18:
81 = 24 + 10*y2.
Rearranging the equation:
10*y2 = 81 - 24,
10*y2 = 57.
Dividing both sides by 10:
y2 = 5.7.
Therefore, the y-coordinate of the 10 kg mass should be 5.7 m.
To find the x-coordinate of the 10 kg mass, we can use the equation for the center of mass:
x_cm = (m1x1 + m2x2) / (m1 + m2).
Substituting the given values:
x_cm = (83 + 10x2) / (8 + 10).
Since the center of mass is at x_cm = 0 (the origin), we can solve for x2:
0 = (83 + 10x2) / (8 + 10).
Rearranging the equation:
83 + 10x2 = 0.
24 + 10*x2 = 0.
10*x2 = -24.
Dividing both sides by 10:
x2 = -2.4.
Which are disadvantages of renewable resources? Check all that apply.
Renewable energy supplies may not be completely reliable.
sources will never run out.
Renewable energy produces large quantities of waste products.
It is difficult to generate electricity in large quantities using renewable resources.
Many renewable energy facilities have higher operating costs.
Answer:
Renewable energy supplies may not be completely reliable.
It is difficult to generate electricity in large quantities using renewable resources.
Explanation:
i got it correct on edgeneuity
The disadvantages of renewable resources is energy supplies may not be completely reliable and many renewable energy facilities have higher operating costs.
What are renewable and non-renewable sources?The main difference between renewable and non-renewable energy sources is the limitation of use: renewable resources are infinite, while non-renewable energies use non-renewable resources, so they tend to run out if there is an exacerbated use.
Disadvantages of Renewable Energies:High investment costs and appropriate infrastructure;Negative visual impacts on the environment;Biomass Energy – the biomass combustion method is not clean;Hydroelectric Power – causes soil erosion that can impact the vegetation of the site;See more about renewable energy at brainly.com/question/17373437
Analyze the circuit shown below in the figure below.
Solve with an equation(s) from the equation sheet.
The circuit is a series circuit since all of the components are connected in a single path.
The current that flows through each component is the same, and the voltage across each component is proportional to its resistance.
In this circuit, there are two resistors, R1 and R2, and a battery with an electromotive force (EMF) of E.
The voltage across each resistor can be determined using Ohm's law, which states that
V = IR,
where V is the voltage
I is the current
R is the resistance.
The total resistance of the circuit can be calculated using the formula:
R = R1 + R2.
Using Ohm's law, the current in the circuit can be found by dividing the voltage by the total resistance:
I = E / R
The voltage across each resistor can be found using
V1 = IR1 and V2 = IR2.
The total voltage of the circuit is equal to the sum of the voltages across each resistor
V = V1 + V2
Substituting the equations for V1 and V2 into the equation for V, we get;
V = I(R1 + R2)
Thus, we can use the following equations to solve for the different variables in the circuit:
R = R1 + R2
I = E / R
V1 = IR1
V2 = IR2
V = I(R1 + R2)
Using these equations, we can calculate the current, voltage, and power of the circuit.
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Newton
10. Your mass on Earth is 50kg. Planet Xenon has half the gravitational force of Earth. What
are your weight and mass on Planet Xenon?
Given parameters:
Mass on earth = 50kg
Unknown:
Mass on planet Xenon = ?
Weight on planet Xenon = ?
Mass is the amount of matter contained in a particular substance.
Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.
Weight = mass x acceleration due to gravity
Planet Xenon has half the gravitational force of Earth.
This translated gives \(\frac{9.8}{2}\) = 4.9m/s²
Now, mass is always the same every where if the amount of matter in a substance does not change.
In this problem, mass = 50kg on planet xenon.
Weight = mass x acceleration due to gravity = 50 x 4.9 = 245N
The weight on Xenon is 245N and the mass is 50kg
How have astronomers used models to explain galactic evolution through mergers and collisions? Use this model to explain how astronomers might test their understanding of the physical processes of the universe.
Answer:
Astronomers use computer models to simulate the process of galactic evolution through mergers and collisions. These models are based on our current understanding of the physical laws that govern the behavior of matter and energy in the universe. By running simulations of galactic mergers and collisions, astronomers can test their understanding of how these physical processes work in practice and how they contribute to the formation and evolution of galaxies.
One way that astronomers might test their understanding of the physical processes of the universe is by comparing the predictions of their models to observations of real galaxies. For example, if a model predicts that a particular type of galaxy should have a certain shape, size, or distribution of stars, astronomers can compare these predictions to observations of actual galaxies to see if they match up. If there is a discrepancy between the model's predictions and the observations, this can indicate that there are some physical processes that are not well understood or included in the model.
Another way that astronomers might test their understanding is by looking for patterns or trends in the properties of galaxies that are consistent with the predictions of their models. For example, if a model predicts that galaxies that have undergone a recent merger should have a particular distribution of gas and dust, astronomers can look for evidence of this pattern in observations of real galaxies. If they find that the predicted pattern is consistently observed in a large sample of galaxies, this can provide support for the model's predictions and the physical processes that it includes.
Overall, computer models of galactic evolution through mergers and collisions provide a powerful tool for astronomers to test their understanding of the physical processes of the universe. By comparing the predictions of their models to observations of real galaxies and looking for consistent patterns and trends, astronomers can refine their understanding of how galaxies form and evolve over time.
what is work - energy theorem ??
The work-energy theorem explains the idea that the net work - the total work done by all the forces combined - done on an object is equal to the change in the kinetic energy of the object. After the net force is removed (no more work is being done) the object's total energy is altered as a result of the work that was done.
This idea is expressed in the following equation:
is the total work done
is the change in kinetic energy
is the final kinetic energy
is the initial kinetic energy
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select and explain three features of the solar panel that maximises the final temperature of the water
Answer:
Irradiance (sunlight intensity or power), in Watts per square meter falling on a flat surface. ... Air Mass refers to “thickness” and clarity of the air through which the sunlight passes to reach the modules (sun angle affects this value). ... Cell temperature , which will differ from ambient air temperature
Suppose that we use a heater to boil liquid nitrogen (N2 molecules). 4480 J of heat turns 20 g of liquid nitrogen into gas. Note that the latent heat is equal to the change in enthalpy, and that liquid nitrogen boils at 77 K. The system is kept at a constant pressure of 1 atm. Assuming that you can treat the gas as ideal gas and that the volume of the liquid is approximately zero, compute the binding energy of a nitrogen molecule in the liquid. (the binding energy is the difference in internal energy per molecule between the liquid and gas)
a. 4.2e^-18 J
b. 9.4e^-21 J
c. 4.8e^ 24 J
d. 2.1e^-19 J
e. 1.3e^-23 J
This percentage of all water on the planet is salt water . 97 % 95% 93% 91%
hurry please !
Answer:
none of those are right, its technically 96.5%. so i would say 97% is your best bet because thats closest and it just rounds up :)
Explanation:
Which statement BEST explains the relationship between voltage, current, and power?
A. If voltage increases and everything else remains constant, then power will increase.
B. If voltage increases and everything else remains constant, then power will decrease.
C. If current decreases and everything else remains constant, then power will increase.
D. Voltage and power are inversely related.
Three vectors with magnitudes 120N, 100N and 80N are given in the diagram below. Write them using the unit vectors i, j and k. . 100N 80N 53° 40° Y 37° 120N X Trigonometric values you may use Cos37⁰ = 0.8 = sin53° sin37° 0.6 = cos53° cos40° = 0.766, sin40° = 0.643
The vectors can be expressed using unit vectors as follows:
Vector A = 96N i + 96N j + 0N k
Vector B = 76.6N i + 64.3N j + 0N k
Vector C = 64N i + 48N j + 0N k.
In the given diagram, let's consider the vectors as follows:
Vector A with magnitude 120N, Vector B with magnitude 100N, and Vector C with magnitude 80N.
To express these vectors using unit vectors i, j, and k, we need to determine their respective components in the x, y, and z directions.
For Vector A (120N), we have the following information:
Magnitude = 120N
Direction: X-axis (cosine component) with an angle of 37° and Y-axis (sine component) with an angle of 53°.
Using the trigonometric values provided:
cos37° = 0.8 and sin53° = 0.8
Therefore, the components of Vector A are:
Ax = 120N * 0.8 = 96N (in the X-direction)
Ay = 120N * 0.8 = 96N (in the Y-direction)
Az = 0N (no component in the Z-direction)
Thus, Vector A can be written as 96N i + 96N j + 0N k.
Similarly, using the trigonometric values for Vector B and Vector C, we can calculate their components:
For Vector B (100N):
Bx = 100N * cos40° = 100N * 0.766 = 76.6N
By = 100N * sin40° = 100N * 0.643 = 64.3N
Bz = 0N
Vector B can be expressed as 76.6N i + 64.3N j + 0N k.
For Vector C (80N):
Cx = 80N * cos37° = 80N * 0.8 = 64N
Cy = 80N * sin37° = 80N * 0.6 = 48N
Cz = 0N
Vector C can be written as 64N i + 48N j + 0N k.
In summary, the vectors can be expressed using unit vectors as follows:
Vector A = 96N i + 96N j + 0N k
Vector B = 76.6N i + 64.3N j + 0N k
Vector C = 64N i + 48N j + 0N k.
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how would the period of pendulum differ from an equivalent one on earth?
Answer:
If you know that that free fall acceleration g on the Moon is about 6 times less than on the Earth, it gives you the answer: on the Moon the same pendulum will have a period about √6≈2.45 longer than on the Earth.
How to model parallel circuit?
A parallel circuit can be modelled by connecting the components parallel.
A parallel circuit is a form of electrical circuit in which the components are linked in parallel to one another, each having a separate channel for current flow and being directly connected to the power source. The circuit must first be schematically represented, with the power supply and each component linked in parallel. Next, the total resistance the total current in the circuit by using Ohm's Law must be calculated.
Additionally, it is necessary to confirm that the total current entering the circuit equals the total current leaving the circuit. In a parallel circuit, the total current passing through all of the components equals the current entering the circuit. The voltage drop between each component must then be once more computed using Ohm's Law.
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How would the photographer use the polarizing filter to find out the direction of polarization of the light coming from the blue sky?
Answer:
by rotating the filter
Explanation:
Rayleigh's scattering is given by the process of the scattering of light by molecules. This is very important physical phenomenon. Polarization is also an effect of light scattering.
A photographer wishes to capture photos of some cloud formation by using the polarizing filter. So the photographer will have to rotate the polarizing filter until the intensity of the light becomes maximum such that the light polarization is acts along the axis of the filter.
Which items are discounted?
—-
Ignore selected.
Answer:
nail file
facial tissues
body wash
deodorant
shampoo
Explanation:
if I'm going by the discount meaning correctly
A 0.10 kg stone is thrown from the edge of an ocean cliff with an initial speed
of 20 m/s. When it strikes the water below, it is traveling at 45 m/s. What is the
change in the kinetic energy of the stone?
Answer:
79.20 joule
Explanation:
1.
A 0.10kg stone is thrown from the edge of an ocean cliff with an initial speed of 21m/s. When it strikes the water below, it is traveling at 45m/s. What is the change in kinetic energy of the stone?
ΔEk = m/2*(V2^2-V1^2) = 0.05*(45^2-21^2) = 79.20 joule
The change in the kinetic energy of the stone is 81.25 J.
The given parameters;
mass of the stone, m = 0.1 kginitial speed of stone, u = 20 m/sfinal velocity of the stone, v = 45 m/sThe initial kinetic energy of the stone is calculated as follows;
K.E = ¹/₂mu²
K.E₁ = ¹/₂ x 0.1 x 20²
K.E₁ = 20 J
The final kinetic energy of the stone is calculated as follows;
K.E₂ = ¹/₂ x 0.1 x 45²
K.E₂ = 101.25 J
The change in the kinetic energy of the stone is calculated as follows;
ΔK.E = K.E₂ - K.E₁
ΔK.E = 101.25 J - 20 J
ΔK.E = 81.25 J
Thus, the change in the kinetic energy of the stone is 81.25 J.
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\(hello \: \)
\(good \: evening\)
\(what \: is \: acceleration\)
Have a great day.
Answer:
acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing. For all other kinds of motion, both effects contribute to the acceleration.
Because acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is also a vector quantity. Acceleration is defined as the change in the velocity vector in a time interval, divided by the time interval. Instantaneous acceleration (at a precise moment and location) is given by the limit of the ratio of the change in velocity during a given time interval to the time interval as the time interval goes to zero (see analysis: Instantaneous rates of change). For example, if velocity is expressed in metres per second, acceleration will be expressed in metres per second per second.
Explanation:
You check in at the airport and have your luggage weighed. It comes to 25kg. The airport is at sea level and you take off and climb to 30,000 ft. How much less does your luggage now weigh?
mass of earth = 5.98 × 10 ^24
radius of earth = 6.37 × 10^ 6
Answer:
0.705 kg less
Explanation:
Altitude at sea level = 0 ft
Altitude after climbing = 30,000 ft = 30,000 x 0.3048 = 9,144 m
Weight = W = mg
Change in weight = ΔW = (M-luggage) × (g-sea level - g-altitude)
g at sea level:
g1 = (Gravitational constant × Mass of the Earth) / (Radius of the Earth)²
g at altitude of 30,000 ft:
g2 = (Gravitational constant × Mass of the Earth) / (Radius of the Earth + Altitude)²
Gravitational constant = 6.674 × 10^-11 m^3 kg^-1 s^-2
g1 = (6.674 × 10^-11 × 5.98 × 10^24) / (6.37 × 10^6)^2
g1 ≈ 9.8358 m/s^2
g2 = (6.674 × 10^-11 × 5.98 × 10^24) / (6.37 × 10^6 + 9,144)^2
g2 ≈ 9.8076 m/s^2
ΔW = (M-luggage) × (g1 - g2)
= 25 kg × (9.8358 - 9.8076)
≈ 0.705 kg
Therefore, your luggage would weigh approximately 0.705 kg less when you climb to 30,000 ft compared to its weight at the airport.
Can't guarantee this is right, but I checked the numbers a few times and this is the best I can do!
Use the worked example above to help you solve this problem. The amount of charge that passes through a filament of a certain lightbulb in 2.09 s is 1.56 C. (a) Find the current in the bulb. A (b) Find the number of electrons that pass through the filament in 5.24 s. electrons (c) If the current is supplied by a 12.0-V battery, what total energy is delivered to the lightbulb filament
Answer:
a) i = 0.746 A, b) # _electron = 2.44 10¹⁹ electrons, c) E = 1.87 10⁴ J
Explanation:
a) The definition of current is the charge per unit of time
i = Q / t
i = 1.56 / 2.09
i = 0.746 A
b) Let's look for the cargo in passing at this time
i = Q / t
Q = i t
Q = 0.746 5.24
Q = 3.904 C
an electron has a charge e = -1.6 10⁻¹⁹ C, let's use a direct proportions rule
# _electron = 3.904 C (1 electron / 1.6 10⁻¹⁹)
# _electron = 2.44 10¹⁹ electrons
the number of electrons has to be an integer
c) In this part you are asked to calculate the power
P = V i
P = 12 0.746
P = 8.952 W
P = E/t
E = P t
E = 8.952 2.09
E = 1.87 10⁴ J
What did the results of photoelectric-effect experiments establish?
Answer:
Option A
Electrons are emitted if low intensity, high-frequency light hits a metal surface.
Explanation:
From the experiments conducted to study the photoelectric effect, conclusions were made that the key factor that contributes to the emission of electrons from the surface of the metal is the frequency of the beam of light. This frequency has to be beyond a minimum threshold, if not, there will be no emission of electrons from the metal surface no matter the intensity of the beam of light or the length of time it is incident upon the metal surface.
This makes option A correct because it highlights the contributions made by the threshold frequency to the photoelectric effect.
TRUE OR FALSE
Matter can undergo a physical or chemical change, but not both at the same time.
Answer: true
Explanation: