Hi there!
For an object moving in a circle:
Centripetal force = ∑F = mv²/r
Thus:
56 = mv²/r
Rearrange to solve for velocity:
√(56r/m) = v
√(56 × 21)/650 = 1.345 m/s
Answer:
AExplanation:
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Mary has a mass of 40 kg and sprints at 1 m/s. How much kinetic energy does she have?
¼
She has a kinetic energy of 20 J.
Roberto has twice the mass his sister Mary has (see above) but runs at the same velocity as Mary.
Will his kinetic energy be twice as much? Show your work.
A tellurium-sapphire laser can produce light at wavelength of 800 nm in ultrashort pulses that last only 4.00x10-15s (4.00 femtoseconds, or 4.00 fs). The energy in a single pulse produced by one such laser is 2.00 μJ = 2.00x10-6 J, and the pulses propagate in the positive x-direction. Find a) the frequency of the light; b) the energy and minimum energy uncertainty of a single photon in the pulse
The speed of light and the propagation of errors allows to find the results on the questions of the radiation emitted by the laser are:
a) The frequency is: f = 3.7 10¹⁴ Hz
b) The energy with its uncertainty is: E = (2.465 ± 0.004) 10⁻¹⁹ J
a) The speed of a wave is related to its wavelength and frequency.
c = λ f
[tex]f = \frac{c}{\lambda}[/tex]
Where c is the speed of light, λ the wavelength and f the frequency.
They indicate that the wavelength is λ = 800 nm = 800 10⁻⁹ m, the speed of light is a constant c = 2.99 10⁸ m/s.
f = [tex]\frac{2.99 \ 10^8}{800 \ 10^{-9}}[/tex]
F = 3.7 10¹⁴ Hz
b) Planck's equation states that the energy is proportional to the frequency of the radiation.
E = h f
Where E is the energy, h the Planck constant and f the frequency.
E = 6.63 10⁻³⁴ 3.7 10¹⁴
E = 2.46467 10⁻¹⁹ J
The uncertainty or error is the fluctuation that a magnitude may have due to the precision in the measurements, when the magnitude is calculated by some formula, the propagation of these uncertainties must be carried out.
Δm = ∑ [tex]\sum \frac{dm}{dx_i} | \Delta x_I|[/tex]
the expression for energy is:
E = [tex]\frac{hc}{\lambda }[/tex]
[tex]\Delta E = \frac{dE}{d \lambda} |D\lambda |[/tex]
[tex]\Delta E = \frac{h c }{\lambda^2 } |\Delta \lambda |[/tex]
When the error in the measured magnitude is not explicitly indicated, we assume that the error is in the last digit written, therefore
Δλ = ± 1 nm = ± 1 10⁻⁹ m
We calculate.
[tex]\Delta E = \frac{6.63 \ 10^{-34} \ 2.99 \ 10^8 }{(800 \ 10^{-9})^2} 1 \ 10^{-9}[/tex]
ΔE = 3.1 10⁻²² J
the error is given with a significant figure.
ΔE = 3 10⁻²² J = 0.004 10⁻¹⁹ J
The result of the energy is:
E = (2.465 ± 0.004) 10⁻¹⁹ J
In conclusion, using the speed of light and the propagation of errors, we can find the results on the questions of the radiation emitted by the laser are:
a) The frequency is; f = 3.7 1014 Hz
b) The energy with its uncertainty is: E = (2.465 ± 0.004) 10⁻¹⁹ J
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A young woman walks up 55 steps to the top of a water slide. She slides
down, feet first, all the way to the bottom gaining speed as she goes. If each
step of the slide is.10m tall, how fast will she be going at the bottom?
Answer:
potential energy PE = M g h
KE at bottom = 1/2 M V^2
Regardless of the slope of the slide the change in energy is the same
1/2 V^2 = g h
V = (2 g h)^1/2 = (2 * 9.8 m/s^2 * 10 m)^1/2 = 14 m / s
Perhaps the question says that h = 55 * .1 = 5.5 m
Then V = (2 * 9.8 * 5.5) = 10.4 m/s
which of these MANNER of death? (select all that apply)
1-blood loss
2-cessation of brain function
3-accidential death
4-stabbing
5-pulmonary arrest
6-homicidal death
7-natural death
8-shooting
Answer:
3, 4, 6, 7, 8 are manners of death.
Identify each of the following statements related to universal gravitation as either true or false. False The gravitational field around a planet is oriented radially outward. True Stars must be at least 2 or 3 times more massive than our sun in order to become a black hole. False Orbiting astronauts are weightless because of the absence of a support force. False The outer planets in our solar system wobble in their orbits because the gravitational effects of the sun are so small. False The earth is falling toward the sun. False As you move farther from the earth, its gravitational force acting on you increases.
The characteristics of the universal gravitation law allow finding the results for which statements are true:
2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.
All the others are false.
The universal gravitational law states that the gravitational force is always attractive and is proportional to the masses and inversely proportional to the square of the distance.
[tex]F = - G \frac{Mm}{r^2}[/tex]
Where F is the force, G is the universal gravitational constant, M and m are the masses and r the distance between the bodies.
Let's analyze the expressions:
1. The gravitational field around a planet is oriented radically outward
False. The force is attractive therefore it is directed towards the center of the planet.
2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.
True. From observations of super-novae the minimum mass is 3 solar masses.
3. Astronauts in orbit are weightless due to the absence of a supporting force.
False. Astronauts have no weight because the force of gravity binds to change the direction of their velocity.
4. The outer planets of our solar system wobble in their orbits because the gravitational effects of the sun are very small.
False. The attraction of the sun decreases with the square of the distance, but the wobble is due to the attraction of the other large planets in this area.
5. The earth falls towards the sun.
False. The earth has a speed parallel to the orbit around the sun and the acceleration due to the attraction of the sun changes the direction of the orbital velocity, but the earth is not directed at the sun.
6, As you move away from the ground, the gravitational force acting on you increases.
False. The gravitational force is inversely proportional to the distance, therefore it decreases when leaving the earth.
In conclusion with the characteristics of the universal gravitation law we can find which statements are true:
2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.
All the others are false.
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A rock excerts a pressure of 20 N/cm^2 on the ground. what does 20N/cm^2 mean?
A force of __________ acts on each _________ of area
Answer:
A force of 20N acts on each cm^2 of area
The initial temperature of the mixture was +20 °C. The mixture froze at -1.5 °C.
A total of 165 kJ of internal energy was transferred from the mixture to cool and
freeze it.
specific heat capacity of the mixture = 3500 J/kg °C
specific latent heat of fusion of the mixture = 255 000 J/kg
Calculate the mass of the mixture.
Give your answer to 2 significant figures.
[6
M
Answe16000/3500(-1.5-2-)225000= 1.1
Explanation:
The mass of the mixture will be 2.19 ×10⁻³ kg. The unit of mass is kg and it is a scalar quantity.
What is mass?Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.
In the International System of Units (SI), the kilogram is the unit of mass.
The given data in the problem is;
The initial temperature of the mixture was, [tex]\rm T_i = 20 ^0 \ C[/tex]
The mixture froze at the temperature of, [tex]\rm T_F = -1.5 ^0 \ C[/tex]
The internal energy is,[tex]\rm E = \rm 165 \ kJ[/tex]
The specific heat capacity of the mixture is,[tex]\rm C = 3500 J/kg ^0C[/tex]
The specific latent heat of fusion of the mixture is,[tex]\rm l = 255 000 J/kg[/tex]
m is the mass of the mixture,
The latent heat is equal to the heat transfer. Because the net work done is zero.
The formula for the heat transfer is found as;
[tex]\rm Q = mCdt \\\\ m = \frac{Q}{Cdt} \\\\ m = \frac{165 }{3500(20-(-1.5)} \\\\ m = 2.19 \times 10^{-3} \ kg[/tex]
Hence the mass of the mixture will be 2.19 ×10⁻³ kg.
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A 30 g spoon is lifted above a table and has 0.062 J of potential energy. How high is it?
Hi there!
We know that:
U (Potential energy) = mgh
We are given the potential energy, so we can rearrange to solve for h (height):
U/mg = h
g = 9.81 m/s²
m = 30 g ⇒ 0.03 kg
0.062/(0.03 · 9.81) = 0.211 m
how much work is done when a 30 kg mass is to be lifted through a height 6m?(1kg=9.8N
we know 1kg=9.8N so 30 kg= 30 x 9.8 = 294 N
work is done when a 30 kg mass is to be lifted through a height 6m :
A = 294 x 6 = 1764 J
ok done. Thank to me :>
You have a particle of length 68 nm. What is this in meters?
A. 6.8 x 10^10 m
B. 6.8 x 10^14 m
C. 6.8 x 10^-11 m
D. 6.8 x 10^-8 m
The number after "^" that symbol are exponents
Mushroom is a fungi.
Mushrooms are filamentous fungi that produce large, often edible fruiting bodies. They live on organic material, thriving on compost, fallen leaves and damp wood and any other dead plant or animal matter. Their role in causing decay is important in maintaining ecological cycles.
how does the hypothesis of inflation account for the existence of the seed of density from which galaxies and other large structures formed
What do you notice about the lines of earthquakes and volcanoes and where they seem to occur on Earth's surface?
Answer:
Most earthquakes and volcanoes occur because of the movement of the plates, especially as plates interact at their edges or boundaries.
Explanation:
najah, a management researcher, conducted an experiment with the goal of confirming or contradicting the behavioral leadership approach. najah spent many days following managers around while they worked. like the ohio state university and university of michigan studies, najah’s data showed that most managers focus on
Based on the information that is depicted from the question, the data from Najah showed that most managers focus on consideration and inspiration.
The behavioral leadership theory simply focuses on how leaders behave. The theory also assumes that other leaders copy each other's traits.
Based on the complete information, the data illustrated that most managers focus on consideration and inspiration. Managers inspire their subordinates in order to accomplish a goal.
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Ryan and his dad go paintball img they 700 balls each how much did paintballing cost for the two of them
Answer:
We don't know how much it cost bc u didn't give us a number of how much one person cost or any details but if you add both of the balls together they have 1,400 balls
To calculate the cost of paintballing for Ryan and his dad, we need to know the cost per paintball. Once we have that information, we can multiply it by the total number of paintballs they used (700 balls each).
Let's say the cost per paintball is $0.50.
For Ryan:
Cost for Ryan = Cost per paintball × Number of paintballs used by Ryan
Cost for Ryan = $0.50/ball × 700 balls = $350
For his dad:
Cost for Dad = Cost per paintball × Number of paintballs used by Dad
Cost for Dad = $0.50/ball × 700 balls = $350
Total cost for both of them:
Total Cost = Cost for Ryan + Cost for Dad
Total Cost = $350 + $350 = $700
So, the total cost of paintballing for Ryan and his dad is $700, assuming the cost per paintball is $0.50.
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What is the kinetic energy of a 100kg ship moving along the water at a rate of 10m/s?
Answer:
5000 JExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass in kg
v is the velocity of the object in m/s
From the question
m = 100 kg
v = 10 m/s
We have
[tex]k = \frac{1}{2} \times 100 \times {10}^{2} \\ = 50 \times 100 \\ = 5000 \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
5000 JHope this helps you
A kitchen has a water supply, an electricity supply and electric lighting there are several electrical appliances in the kitchen including a toaster, akettle a clothes iron, a microwave oven and a dishwasher discuss three hazards of using electricity in this kitchen ?
The hazards of using electricity in this kitchen include the following below:
Risk of electric shocks: These electrical appliances use an electric source for their various functions in which electric current flows through them when
turned on. Exposure and contact of the naked wire with individuals will bring
about shock.
Risk of burns: The kitchen has various heating appliances such as toaster,
kettle,iron and oven which may result in burns if not carefully handled.
Risks of fire : The heat and electric current from these appliances can trigger a spark and fire which may raze down the building is also another hazard.
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Compare and contrast instantaneous and average speed.
Answer:
instantaneous velocity is a velocity covered at an instant while average velocity is the change in distance/ the change in time taken
un cuerpo suspendido en el aire es capaz de:
a) liberar energía al caer
b) puede ejecutar un trabajo
c) posee energía antes de caer
d) todas son correctas
Answer:
Explanation:
d
A measuring cylinder contains 80 cm3 of a certain liquid. The liquid is poured
into an empty beaker of mass 48 g. The total mass of the beaker and the liquid
was found to be 136 g.
(a) Calculate the mass of the liquid in grams.
(b)Calculate the density of the liquid in gcm-3
Answer:
1.5 g/cm
3
Let d be the density of fluid.
So , Initial reading of balance, F
1
=30dg N
After the level reaches 50cm
3
Final reading of balance , F
2
=50dg N
Given that difference between final and initial reading is 30g
i.e, F
2
−F
1
=30 g
⟹50dg−30dg=30g
⟹20dg=30g
⟹d=
20g
30g
⟹d=1.5g/cm
3
So, density of fluid is 1.5g/cm
3
John carries a 5 kg bag horizontally to the checkout line. How much work must he
do to move it 8 m at a constant velocity of 1 m/s to the right?
The work John must do to move the bad horizontally to given distance is 2.5 J.
The given parameters;
mass of the bag, m = 5 kgdistance moved by the bad, d = 8 mvelocity of bag, v = 1 m/sThe acceleration of the bag at the given distance and velocity is calculated as follows;
[tex]v^2 = u^2 + 2as\\\\1^2 = 0 + 2(a)(8)\\\\1 = 16 a\\\\a = \frac{1}{16} \\\\a = 0.0625 \ m/s^2[/tex]
The work done in moving the bag to 8m is calculated as follows;
[tex]W = F \times d\\\\W = ma \times d\\\\W = 5 \times 0.0625 \times 8 \\\\W = 2.5 \ J[/tex]
Thus, the work John must do to move the bad horizontally to given distance is 2.5 J.
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A rock on the moon has 0.5kg. It is brought to Earth where the gravitational field is stronger. On Earth, the rock will have:
a) Less mass and same weight
b) The same mass and more weight
c) Less mass and less weight
d) The same mass and same weight
Answer:
Explanation:
It will be B.
The correct answer is the same mass and less weight.
What happens to the weight of an object when it is brought from the moon to the Earth?
The weight decreases. Your weight will be 1/6 of the weight on the moon that you had on Earth. This is because the mass of the moon is less hence the gravitational pull is very low compared to Earth.
What happens to the mass of an object when you take it to the moon?
Therefore, the mass of an object on the Moon remains the same as its mass on Earth. But its weight gets less because the gravity on the moon is less than on the Earth.
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what is use of hydraulic machine?
Answer:
Hydraulic machines use liquid fluid power to perform work. Heavy construction vehicles are a common example.
Explanation:
In this type of machine, hydraulic fluid is pumped to various hydraulic motors and hydraulic cylinders throughout the machine and becomes pressurized according to the resistance present.
Hope it helps and welcome :)
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Glucose typically enters the cell through which mechanisms
Answer:
facilitated diffusion
Jake walked 10 meters in 5
seconds. What was his speed?
A. 2 m/s
B. 0.5 m/s
C. 50 m/s
D. 15 m/s
Answer:
[tex]\boxed {\boxed {\sf A. \ 2 \ m/s}}[/tex]
Explanation:
Speed is the distance traveled per unit of time, or how fast an object is moving.
It is calculated by dividing the distance by the time.
[tex]s= \frac{d}{t}[/tex]
Jake traveled 10 meters in 5 seconds.
d= 10 m t= 5 sSubstitute the values into the formula.
[tex]s= \frac{10 \ m}{5 \ s}[/tex]
Divide.
[tex]s= 2 \ m/s[/tex]
Jake's speed was 2 meters per second and choice A is correct.
In an experiment to determine the density of a substance the following results were
obtained. Use the results to plot a graph of mass against volume.
Mass (g) 10 20 30 40 50 60 70 80 90
Volume (cm 3 ) 0.5 1.0 1.4 2.0 2.2 2.6 3.0 3.6 4.5
a) Find the gradient of the graph.
b) What does the gradient represent?
c) What is the mass when the volume is 1.5cm 3 ?
d) What is the volume when the mass is 65g?
Answer:
a) Gradient = rise/run = mass/volume
since the graph is mass against volume we know mass is on the y-axis and volume is on the x-axis
in physics it’s best to use a larger part of the graph to find the gradient, so imma use the biggest values.
90/4.5 = 20
(additional note: sometimes you may get a different gradient. For example, when using 30 and 1.4 you get ≈21 this is an anomalous result since ita gradient differs; a mass against volume graph is supposed to be linear)
b) gradient represents density (p) since gradient is = mass/volume. And density also = mass/volume
For c and d just plot the points and you’ll be able to read from the graph to get the values.
I got this graph (the image)
but you’ll be able to interpret better when ‘you’ draw it (so try plotting it)
a ball is thrown with a speed of 100 m/s at a height of 150 m take g equals 9.8 m per second calculate the time of flight,angle of projection,range pls help I don't know how to solve it
Hi there!
Since the ball is thrown with an initial HORIZONTAL velocity, we can treat this as a free-fall situation since the horizontal motion does NOT impact the ball's vertical motion.
We can use the derived kinematic equation:
[tex]t = \sqrt{\frac{2h}{g}}[/tex]
Plug in the given values:
[tex]t = \sqrt{\frac{2(150)}{9.8}} = \large\boxed{5.53 s}}[/tex]
The angle of projection is 0° because there is no vertical component to the velocity as the initial velocity is purely horizontal.
Range:
We can use the equation:
dₓ = vₓt
displacement (x direction) = velocity (x direction) · time
Used the solved-for time and given velocity:
dₓ = 100 · 5.53 = 553 m
A stone is dropped off a tall building. It takes 4.5 s to hit the ground Determine the height of the building.
Explanation:
time =4.5sec
gravity =9.8m/s square
so to determime the height we can use the formula
1/2 of gravity times time square
which results in 99.25
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
If the coefficient of kinetic friction between the puck and the ice is 0.05, how far does the puck slide before coming to rest? Solve this problem using conservation of energy. initial speed is 5.3 m/s
Hi there!
We know that:
Ei = Ef
There is work being done on the object, so:
W = Force · displacement = F · d ⇒ work due to friction
KEi - Fd = KEf (0)
KEi = Fd
Input variables:
1/2mv² = μmgd
Cancel out the mass:
1/2v² = μgd
Solve for d:
1/2(5.3²)/(0.05 · 9.81) = 28.63 m