A 75 kg astronaut floating in space throws a 5 kg rock at 5 m/sec. How fast does the astronaut move backwards?
Answer:
The astronaut will get a velocity 0.064ms−1 opposite to the direction of the object.
If a 75 kg astronaut floating in space throws a 5 kg rock at 5 m/sec, then the astronaut would move backward with a speed of 0.33 meters/second.
What is momentum?It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.
P = mv
As given in the problem if a 5 kg astronaut floating in space throws a 5 kg rock at 5 m/sec,
By using the conservation of the momentum,
Assuming the initial momentum of the astronaut and ball would have been zero, the total final momentum of the system would be zero as well,
75*v +5*5 = 0
v = 25/75
v = -0.33 m/s
Thus, the astronaut would move backward with a speed of 0.33 meters/second.
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Two point charges of 9μC and 4μC are placed a distance of 4 m apart.
1) Calculate the magnitude of the force, in Newtons, on a positive 5μC charge at the midpoint between the two charges.
2) Find the point, measured in meters from the 9μC charge, between the two charges where the force on the 5μC charge is 0?
Hi there!
1)
Since the charge placed in the middle is positive, we know that the particle is being repelled.
The particle experiences a greater repelling force by the 9μC charge. We can use the equation for electric force:
[tex]F_E = \frac{kq_1q_2}{r^2}[/tex]
k = Coulomb's Constant
q₁, q₂: Charges (C)
r = distance between charges (m)
This is a VECTOR quantity, so we must subtract the forces since they point in opposite directions.
Force from 9μC particle:
[tex]F_E = \frac{k(.000005)(.000009)}{2^2} = .101\\\\[/tex]
Force from 4μC particle:
[tex]F_E = \frac{k(0.000005)(0.000004)}{2^2} = 0.0450[/tex]
Subtract:
[tex].101 - 0.0450 = \boxed{0.561 N}[/tex]
2)
We can find a position by setting the two equations equal to one another. (Both repelling forces must be EQUAL for the force = 0 N)
Let the distance between the 9μC and 5μC charge equal 'x', and the distance between the 4μC and 5μC charge equal '4 - x'.
[tex]\frac{k(0.000009)(0.000005)}{x^2} = \frac{k(0.000004)(0.000005)}{(4 - x)^2}[/tex]
Cancel out 'k' and the 5μC value.
[tex]\frac{0.000009}{x^2} = \frac{0.000004}{(4 - x)^2}[/tex]
Solve for 'x' using a graphing utility.
[tex]\boxed{x = 2.4 m}[/tex]
What forces are acting upon you when you do a moonwalk
Answer:
u don't know friction?
Explanation:
friction?
While you are standing on your front porch, you decided to walk to the end of your driveway, 10 meters away, and back to your front porch, what is your distance traveled and what is your displacement?
Answer:
Distance travelled: 20meters
Displacement: 10 meters.
Explanation:
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory. A displacement may be identified with the translation that maps the initial position to the final position.
Sometimes an old scientific model is replaced by a new model.
Explain why scientists replace an old scientific model with a new model.
Include an example from Physics in your answer (4 marks)
Explain why scientists replace an old scientific model with a new model.
Include an example from Physics in your answer.
₊˚ ଘ Answer:A scientific model is created to understand the concepts and explain the reason behind unexplained observations.
But the scientific models cannot explain all the unexplained observations.
When another scientific model which could explain some more observations than the previous model.
This new model replaces the old one.
One such example in physics is geocentric and heliocentric models.
The geocentric model was based on the principle that all celestial bodies revolve around the earth as its center.
But this model failed to explain some planets move backward instead of forward.
The heliocentric model was based on the principle that all planets revolve around the sun as its center including earth.
This model was able to resolve the backward and forward motion dilemma.
That is why heliocentric replaced the geocentric model.
[tex]\boxed{\huge \text{Hope this helps! :)}}[/tex]
[tex]\huge \text{Happy president's day! :)}[/tex]
-InLoveWithNature-
The model was used by scientists to predict the results of their investigations. The data frequently did not support their forecasts. This required a modification to the model.
The contemporary atomic model emerged as a result of numerous scientists building on one another's research.
What is scientific modeling?Creating a physical, mental, or mathematical model of a genuine occurrence that is challenging to see firsthand is known as scientific modeling.
In a range of scientific disciplines, from chemistry and science to ecology and also the Earth sciences, scientific models are employed to explain and forecast the behavior of real things or systems.
Though modeling is an essential part of contemporary science, scientific models are, at best, approximations rather than perfect representations of the systems and things they represent. As a result, scientists are always trying to enhance and improve models.
Scientific modeling has a variety of goals. Some models, which are frequently developed from experimental data, are being used mainly to visualize an object or system, such the three-dimensional dbl model of DNA.
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What can you do to lower your carbon footprint?
Answer:
buy what you need to reduce waste, eat organic foods. drive less when transporting try walking instead of using a car or train
Explanation:
Please someone help me with this
Answer:
I believe it is D
Explanation:
A spring has a spring constant of k = 50 N/m. The spring is compressed a distance of 31cm. What is the potential energy stored in the spring?
1.96 kg * m2/s2
Explanation:I'm assuming that you are asking what is the elastic potential energy stored in the spring at the position stretched by 16.5 cm...Since you know the spring constant k, 144 N/m and the spring stretch from the equilibrium position x, is 16.5 cm, or 0.165, you find the spring's potential energy from the equation PE = 12kx2, which equals 1.96 Joules, or kg * m2/s2 if you want SI units.
In its orbit, Earth circles the sun once every year. This movement around the sun is called a(n) ________.
Answer:
Is called a(n) revolution
Explanation:
What is the gravitational force between the sun and earth
Answer:
It's easier if you just read the explanation.
Explanation:
about 3.54x1022 N
The gravitational force between the Sun and the Earth is about 3.54x1022 N. This force keeps the Earth orbiting around the Sun.
1. A car slams on brakes and comes to a stop after having been traveling 40m/s. The car stops in
only 0.5s. What is the car's acceleration? (Units for acceleration should be typed as m/s/s right
next to the number!)
Answer:
-80 m/s/s
Explanation:
acceleration = (v final - v initial) / time
a = (0 m/s - 40m/s) / 0.5 seconds
a = - 40 m/s / 0.5 seconds
a = - 80 m/s/s
How can a mass be hot enough to flow but still act like a solid
This is a Science question about the layers of the earth...
a heavy block is suspended from a vertical spring. the elestic potential energy is stored in the spring is 2 j. what is the spring constant if the elongation of the spring is 10 cm
Answer:
k = 100 N/m
Explanation:
The elastic potential energy of a spring is equal to (1/2)kx^2, where k is the spring constant and x is the distance compressed. If the elastic PE is equal to 2J, we can solve for k. Make sure to convert units from cm to m:
(1/2)kx^2 = 2J
kx^2 = 1
k = 1/x^2
k = 1/(0.1)^2
k = 100 N/m
What is the correct definition of nuclear fission?.
Answer:
subdivision of a heavy atomic nucleus, such as that of uranium or plutonium, into two fragments of roughly equal mass.
Explanation:
Olivia is on a swing at the playground. if the swing is moving from W to Z, at which point is her kinetic energy increasing and her potential energy decreasing? (based on a starting point of W)
Answer:
from W-Z.. i think on a swing you get your most potential energy at W and Z is where you go up so Z would be where the kinetic energy increased and W is where potential energy decrease
Explanation:
hope this helps
Olivia is on a Swing at Playground - Option 2 Olivia is on a swing at the playground. Her kinetic energy increasing at x and her potential energy decreasing at x. At mean position velocity is maximum so kinetic energy ( K.E ) is also maximum and at mean position potential energy is minimum. Therefore, kinetic energy is increasing and potential energy decreasing at x.
Explanation
Credits to someone on a different answer
A satellite travels in a circle at 100m/s. Compare the satellites speed and velocity.
Answer:
you can one a question . then i tell the answerThe magnitude of the force that does the work is 43.0 N. How much work is done by this force if a bookcase is moved a distance of 5.00 m
A group of students performed a compression experiment where they placed weights on top of a cylinder of material and measured the change in the cylinder’s height. The cylinder had a radius of 2 cm, and an initial height of 10 cm. This group of students would like to know what kind of material their cylinder was. Based on their data shown below, and the Young’s modulus values shown, which of the materials below could the cylinder be made from? Select all that apply.
Based on the calculated Young’s modulus of the material, the material the cylinder could most likely be made of is butyl rubber which has a Young’s modulus of 0.001 to 0.002 GPa.
What is Young’s modulus?Young's modulus, Y is a measure of a solid's ability to resist deformation in its length under stress or strain.
Mathematically,
Young’s modulus Y = stress/strainwhere:
stress = Force/areastrain = extension/original lengthY = Fl/Ae
Area of the cylinder = πr^2where;
π = 3.14
r = 2 cm = 0.02
Area of the cylinder = 3.14 × 0.02^2 = 0.00125 m^2
When a mass 5 kg was placed on the cylinder:
F = 5 × 10 = 50 N
l = 10 cm = 0.1 m
e = 10 - 7.73 = 0.39 cm = 0.0039 m
A = 0.00125 m^2
Using Y = Fl/Ae
Y = (50 × 0.1)/(0.00125 × 0.0039)
Y = 1025641.026 N/m^2
1 N/m^2 = 1 × 10^-9 GPa
Y = 0.001025 Gpa
When a mass 50 kg was placed on the cylinder:
F = 50 × 10 = 500 N
l = 10 cm = 0.1 m
e = 10 - 7.73 = 2.27 cm = 0.0227 m
A = 0.00125 m^2
Using Y = Fl/Ae
Y = (500 × 0.1)/(0.00125 × 0.0227)
Y = 1762114.537 N/m^2
1 N/m^2 = 1 × 10^-9 GPa
Y = 0.00176 Gpa
The Young’s modulus of the material is between 0.001025 Gpa and 0.00176 Gpa.
Therefore, the material the cylinder could most likely be made of is butyl rubber which has a Young’s modulus of 0.001 to 0.002 GPa.
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The material that the cylinder is made from is Butyl Rubber.
What is Young's modulus?
Young's modulus, or the modulus of elasticity in tension or compression, is a mechanical property that measures the tensile or compressive strength of a solid material when a force is applied to it.
Area of the cylinderA = πr²
[tex]A = \pi \times (0.02)^2 = 0.00126 \ m^2[/tex]
Young's modulus of the cylinder[tex]E = \frac{stress}{strain} \\\\E = \frac{F/A}{e/l} \\\\E = \frac{Fl}{Ae} \\\\[/tex]
Where;
e is extensionWhen 5 kg mass is applied, the extension = 10 cm - 9.61 cm = 0.39 cm = 0.0039 m.
[tex]E = \frac{(5\times 9.8) \times 0.1}{0.00126 \times 0.0039} \\\\E = 9.97 \times 10^5 \ N/m^2\\\\E = 0.000997 \times 10^9 \ N/m^2\\\\E = 0.000997 \ GPa\\\\E \approx 0.001 \ GPa[/tex]
When the mass is 50 kg,
extension = 10 cm - 7.73 cm = 2.27 cm = 0.0227 m
[tex]E = \frac{(50\times 9.8) \times 0.1}{0.00126 \times 0.0227} \\\\E = 1.7 \times 10^6 \ N/m^2\\\\E = 0.0017 \times 10^9 \ N/m^2\\\\E = 0.0017 \ GPa\\\\E \approx 0.002 \ GPa[/tex]
The Young's modulus is between 0.001 GPa to 0.002 GPa
Thus, the material that the cylinder is made from is Butyl Rubber.
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PLS HELP I NEED TO TURN THIS IN SOON
The moving charge in the wire causes the compass to deflect; this is because
A. the moving charge induces a magnet field
B. the energy of the charge pushes on the compass
C. the electrons heat up the wire, causing the compass to deflect
18. Which two quantities are measured in the same units?
A. velocity and acceleration C. mass and weight
B. weight and force
D. force and mass
[tex]weight \: and \: force[/tex]
HELPPP PLEASE !!!
1. look carefully at the pair of images and think about what the arrow means.
which image ( A or B ) shows the direction someone would need to kick the ball in order to move it toward the goal?
Answer:
It is A that best describe it.
The image that shows the direction someone would need to kick the ball in order to move it toward the goal is image A.
We have,
The arrow in a diagram tells us the direction in which it will go.
Now,
From image A and image B,
Image A tells us that if we kick the ball in the right direction it will hit the goal.
Image B tells us that if we kick the ball in the left direction the ball will not hit the goal but go to the opposite direction.
Thus,
The image that shows the direction someone would need to kick the ball in order to move it toward the goal is image A.
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Bill runs 400 meters to Andy's house, turns around, and runs 400 meters back home. What is Bill's displacement? A. 1600 meters B. 400 meters C. 0 meters D. 800 meters
Answer:
C - 0 meters
Explanation:
Displacement is the difference in where you started and where you end up. If Bill starts at his house and ends at his house, there was no change in position, meaning Bill had no displacement. In math this would be
400 + (-400) = 400 - 400 = 0
assuming he runs in the positive direction and then in the negative direction. Either way you put it, it still ends up as 0
What will happen to the gravitational force between two bodies if the masses of one body is doubled?
Answer:
If the mass of one body is doubled, force is also doubled.
Taking into account the Universal Law of Gravitation, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.
Universal Law of GravitationThe Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.
The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.
Mathematically it is expressed as follows:
[tex]F=G\frac{Mm}{d^{2} }[/tex]
where:
G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex].M and m are the masses of the bodies that interact.d is the distance that separates them.Gravitational force if the masses of one body is doubledBy definition of gravitational force, the greater or lesser the value of any of the masses causes the force to be greater or lesser respectively.
Finally, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.
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what are you guy's zodiac sign ?!
Answer:
Capricorn what is yours
Answer:
leo
Explanation:
A compass needle always points in a direction .........................
Answer:
Centre is the Answer hope its is right and helpfull
A car drives at a velocity of 6.8 m/s for 250 seconds. How far did it travel?
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution ~
As we know, Displacement =
[tex]\qquad \sf \dashrightarrow \: velocity \times time[/tex]
[tex]\qquad \sf \dashrightarrow \: 6.8 \times 250[/tex]
[tex]\qquad \sf \dashrightarrow \: 1700 \: m[/tex]
OR[tex]\qquad \sf \dashrightarrow \: 1.7 \: km[/tex]
The car travelled 1700 meters ( 1.7 km )
a car speeds up from 12 m/s to 20 m/s in 6.4 s. if its mass is 1200kg, what force must its engine provide?
Answer:
1500 N
Explanation:
• Initial velocity, u = 12 m/s
• Final velocity, v = 20 m/s
• Time taken, t = 6.4 s
• Mass, m = 1200 kg
[tex]\longrightarrow[/tex] F = ma
a = (v – u)/t, so
[tex]\longrightarrow[/tex] F = 1200 × (20 – 12)/6.4
[tex]\longrightarrow[/tex] F = 1200 × 8/6.4
[tex]\longrightarrow[/tex] F = 1200 × 80/64
[tex]\longrightarrow[/tex] F = 1200 × 40/32
[tex]\longrightarrow[/tex] F = 1200 × 20/16
[tex]\longrightarrow[/tex] F = 300 × 20/4
[tex]\longrightarrow[/tex] F = 300 × 5
[tex]\longrightarrow[/tex] F = 1500 N (Answer)
a car slows down from 20 m/s to 10 m/s in 5 seconds. what is it’s acceleration
Answer:
-2 m/s²
Explanation:
A substances are composed
Substances are composed of atoms, although I'm not sure if this is what you mean