An asteroid is on a collision course with Earth. An astronaut lands on the rock to bury explosive charges that will blow the asteroid apart. Most of the small fragments will miss the Earth, and those that fall into the atmosphere will produce only a beautiful meteor shower. The astronaut finds that the density of the spherical asteroid is equal to the average density of the Earth. To ensure its pulverization, she incorporates into the explosives the rocket fuel and oxidizer intended for her return journey. What maximum radius can the asteroid have for her to be able to leave it entirely simply by jumping straight up
Answer:
The maximum radius the asteroid can have for her to be able to leave it entirely simply by jumping straight up is approximately 1782.45 meters
Explanation:
Whereby the height the astronaut can jump on Earth = 0.500 m, we have the following kinematic equation;
v² = u² - 2·g·h
Where;
v = The final velocity
u = The initial velocity
g = The acceleration due to gravity ≈ 9.8 m/s²
h = The height she jumps
At the maximum height, [tex]h_{max}[/tex] = 0.500 m, she jumps, v = 0, therefore, we have;
0² = u² - 2·g·[tex]h_{max}[/tex]
u² = 2 × 9.8 × 0.5 = 9.8
u = √9.8 ≈ 3.13
u = 3.13 m/s
Her initial jumping velocity ≈ 3.13 m/s
Escape velocity, [tex]v_e = \sqrt{\dfrac{2 \cdot G \cdot M}{r} }[/tex]
Where;
M = The mass of the asteroid
G = The Universal gravitational constant = 6.67408 × 10⁻¹¹ m³/(kg·s²)
r = The radius of the asteroid
The average density of the Earth = 5515 kg/m³
The mass of the asteroid, M = Density × Volume = 5515 kg/m³× 4/3 × π × r³
The escape velocity, she has, [tex]v_e[/tex] ≈ 3.13 m/s is therefore;
[tex]3.13 = \sqrt{\dfrac{2 \times 6.67408 \times 10^{-11} \times 5515 \times \frac{4}{3} \times \pi \times r^3}{r} } = r \times \sqrt{3.084 \times 10^{-6}}[/tex]
[tex]r = \dfrac{3.13}{ \sqrt{3.084 \times 10^{-6}}} \approx 1782.45[/tex]
Therefore, the maximum radius of the asteroid can have for her jumping velocity to be equal to the escape velocity for her to be able to leave it entirely simply by jumping straight up = r ≈ 1782.45 meters.
what is the net force of an object that has 7N to the left and right and 3N up
Answer:
the net force would be 3N in the upward direction since the two forces acting on the left and right of the object cancel out.
Explanation:
What does someone with high self esteem look like
Answer:
Happy
Explanation:
They just look happy with theirselves
Which of the following is an example of Potential Energy?
A Bell Ringing
An apple on a tree branch
Taking X-rays
Lightning
Determine criteria that NASA may have considered when beginning to design a solution to a problem.
if anyone can answer it'd be very appreciated, i need to pass this class
Answer: 0.4
Explanation:
Answer:
b. 0.4
Explanation:
This illustration above represents what concept?
Answer:
Variation
Explanation:
This explains variation because theres many different species in the question
Answer:
Homologous Structures
SOMEONE PLEASE HELP!!
a car is sitting on top of a hill it is 7500 kg the hill is 100m high how much potential energy does the car have
a. 0.01 J
b. 75 J
c. 7,350,000 J
d. 37,500,000 J
Hello!
[tex]\large\boxed{\text{C. 7,350,000 J}}[/tex]
Use the equation:
[tex]PE = mgh[/tex]
Where:
m = mass of the object (kg)
g = acceleration due to gravity (≈9.8 m/s)
h = height above ground (m)
Plug the given values into the equation:
PE = 7500 · 9.8 · 100
PE = 7,350,000 Joules.
Distinguish between converging lens and diverging lens
Answer:
Converging lenses are lenses which converge the light rays coming towards them, whereas diverging lenses are lenses which diverge the rays coming towards them.
Converging lenses form a real image, whereas diverging lenses form a virtual image
Explanation:
Part of a bird's digestive tract, called a gizzard, is able to break up large chunks of food at an extremely fast rate. It is difficult for
scientists to watch a gizzard functioning in a live bird. How would building a model of a gizzard help a scientist?
A. to analyze how a gizzard works
В.to study bird behavior
C.to determine what type of tissues a real gizzard is made of
D.to watch a gizzard functioning in life
Answer:A:
To analyze how a gizzard works.
Explanation:
A student read his right ear against his desk while Teacher talks loudly on the desk and can hear the tapping sound only through his right ear when he lifts his head away from the desk he hears nothing what is the medium of the sound waves the student heres
Answer:
The student hears the wave that is transmitted by the desk
Explanation:
Mechanical waves need a material medium to be able to be transmitted, in the case of sound waves, one of the most common media is air, but it is also transmitted in other media in this case, stationery is transmitted.
The student hears the wave that is transmitted by the desk
The speed of the wave is proportional to the density of the material, so the wave that the student hears arrives much faster through the desk than through the air
PLEASE HURRY!!!!
Rocco makes the graphic organizer shown to review the characteristics of transistors.
Which statement belongs in the region marked X?
a) The current flows toward the base from the emitter.
b) The base is more negative than the emitter.
c) The base is the center layer.
d) The main charge carriers are negative electrons.
The statement that belongs to region X is option (d)
(d) The main charge carriers are negative electrons
The reason for the selection is as follows;
The given region marked X belong to the NPN Transistor that has the following characteristics
The NPN transistor consist of a P-Type semiconductor sandwiched between two N-Type semiconductors
The charge carriers in a NPN transistor are negative electrons, while the charge carriers in a PNP transistor are holes
NPN transistor is the most commonly used type of BPT transistor due to the high mobility of electrons compared to holes
Electrons are passed from the emitter to the collector in an NPN transistor
Therefore, the statement that belongs only of the region marked X is that the main charge carriers are negative electrons
Learn more about semiconductors here;
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The items on the right side of the equation are called the a. Coefficient c. Reactants b. Subscript d. Products
Answer:
products
Explanation:
A golfer strikes a golf ball with an initial velocity of 50 m/s at an angle of 35° to the horizon.
Calculate initial. X velocity
Calculate initial. Y velocity
Answer:
for X, it's 50 times cos 35.
for y, it's 50 times sin 35.
4. A car accelerates, from rest, at 2.4 m/s?. How fast is the car traveling
after 8 s?
a. 19.2 m/s
b. 3.33 m/s
C. 4 m/s
d. 20 m/s
Answer:
19.2m/s
Explanation:
Assuming that 2.4m/s^2 was the acceleration and not a typo, we can use the equation v=at, where v=velocity, a=acceleration, and t=time,
plug in known varibles,
v=2.4*8
v=19.2m/s
A dolphin swims 1.85km/hr. How far has the dolphin traveled after 0.6hr?
a track player swings a 1.5 kg discus around at an arm's length of .8 m. if the discus is traveling at 3.0 m/s, what is its angular momentum?
Answer:
3.6 kg*m^2/s
Explanation:
The angular momentum equals mvr, where m is the mass, v is the velocity, and r is the radius or rotational arm. Inputting these values, we can find the angular momentum.
Angular momentum = (1.5 kg)(3.0 m/s)(0.8 m) = 3.6 kg*m^2/s
I hope this helps! :)
Answer:
3.6 kg is the answer
Explanation:
becuase 8/3 = 3.6
Which was not listed as a hazard of mining.
Answer:
look you didnt put none up there
help with this please!!!!
Answer:
Energy
Explanation:
The amount of energy put in is less.
Answer:
energy
Explanation:
I'm not sure...
What is one watt ? Write the relation of watt with kilowatt , megawatt , and horsepower .
Answer:
See the explanation below
Explanation:
The watt (the power) is equal to the relationship between the work and the time in which that work is performed.
[tex]P = W/t[/tex]
where:
W = work [J] (units of Joules)
t = time [s].
Now 1000 [W] are equal to 1 [kW]
And 1000000 [W] are equal to 1 [MW]
The horsepower is the unit of power in the imperial system of units.
And 745.7 [W] are equal to 1 [Hp]
a 3.5kg child is swinging on a rope. the length of the rope attached to a tree branch is 7.00m. ths child passes through the lowest point of the curved path with a speed of 3.00m/s. what is the tension on the rope at this moment
The child's radial/centripetal acceleration at the lowest point of the swing is
a = (3.00 m/s)² / (7.00 m) = 1.29 m/s²
By Newton's second law, the tension in the rope is
T = (3.5 kg) (1.29 m/s²) = 4.5 N
(Does the question really say the child's mass is 3.5 kg? That's little more than the average mass of a newborn, about 3.3 kg. Not exactly a good idea to put a newborn on a swinging rope...)
Three identical blocks, x, y, and z hang from identical strings
Answer:
Following are the solution to this question:
Explanation:
Please find the complete question and its solution in the attached file.
Why do you think the greater wax moth developed the ability to hear frequencies up to 300kHz?
Please be kind enough to help me thank you!!!!
Answer:
The greater wax moth developed the ability to hear frequencies up to 300kHz to trick bats, their chief predators.
Explanation:
Dogs commonly listen to frequencies of about 30 kHz. But nothing matches the moths 300-kHz maximum. Since there aren't any noises in an environment that get close, scientists hypothesize that greater wax moths developed super sensitive hearings to trick bats, their chief predators. it can hear wavelengths up to 300 kHz, well exceeding the range of any other creature and higher than any bat can sound.
What happens to electrical energy that is used by objects in our homes? (1 point) a It is absorbed by batteries. b It is destroyed. c It is stored in solar panels. d It is transformed into other forms of energy.
Question:
What happens to electrical energy that is used by objects in our homes? (1 point)
a It is absorbed by batteries.
b It is destroyed.
c It is stored in solar panels.
d It is transformed into other forms of energy.
Answer:
D
d. It is transformed into other forms of energy.
When electrical energy is used by objects in our homes, it is transformed into other forms of energy depending on the specific device or appliance. For example:
In light bulbs, electrical energy is transformed into light energy and heat energy.In an electric heater, electrical energy is transformed into heat energy to warm the surroundings.In a blender, electrical energy is transformed into mechanical energy to blend food.In a fan, electrical energy is transformed into mechanical energy to create air movement.This transformation of electrical energy into other forms is governed by the principles of conservation of energy, which state that energy cannot be created or destroyed, only converted from one form to another. So, while electrical energy is consumed and "used up" by the devices in our homes, it is not destroyed but rather converted into different forms of energy that serve various purposes.
To learn more about electrical energy, here
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Please help ASAP I have to turn this in soon
Answer:
See in explanation
Explanation:
Scientific use: The Einstein's THEORY of relativity states that "Time Is Absolute".
Everyday use: Einstein's LAW of relativity says that time is not the same at all places and events.
Answer:
Almost every scientist has a theory about the things that they discover and if the things are un-explainable it is a scientific law.
The goverment has laws to keep people safe and important people have important theories if they are not there.
Explanation:
I hope this helps!
1. A 146 kg cubic tiger began with an initial velocity of -22 m/s [N] and, while moving away from the origin, accelerated at -0.43 m/s² [N] and moved -407 m [N]. What was the final velocity of the tiger?
Answer:
v = 28.87 m/s
Explanation:
Given that,
Mass of a cubic tiger, m = 146 kg
Initial velocity, u = -22 m/s
Acceleration, a = -0.43 m/s²
Distance moved, s = -407 m
We need to find the final velocity of the tiger. Using third equation of motion to find it. Let v is the final velocity of the tiger.
[tex]v^2-u^2=2as\\\\v^2=(-22)^2+2\times (-0.43)\times (-407)\\\\=28.87\ m/s[/tex]
So, the final velocity of the tiger is 28.87 m/s.
a bud travels 20 km in 30 minutes what is the average speed of the bus
31. What is the mass of a cat that weighs 30.0 N?
(1 Point)
30 kg
300 k
3 kg
OKO
Answer:
3 kg
Explanation:
weight= 9.8x mass
Mass=weight /9.8=30/9.8=3.06kg
I hope it helps
An object is in free fall. After 10 seconds calculate the distance fallen?
*
A. 8m
B. 39.24m
C. 9.81m
D. 490.5m
E. 313.92
Answer:
[tex]D.490.5\ m[/tex]
Explanation:
[tex]We\ are\ given\ that,\\Acceleration\ due\ to\ gravity\ (On\ Earth)=9.81\ m/s^2\\Initial\ Velocity\ of\ the\ body=0\ m/s\\Time\ taken=10\ seconds\\Hence,\\From\ the\ Second\ Equation\ of\ Motion:\\S=ut+\frac{1}{2}at^2\\By\ reconstructing\ the\ equation:\\S=ut+ \frac{1}{2}gt^2\\Hence, here\\S=0*10+\frac{1}{2}*9.81*10^2\\S=\frac{1}{2}*981\\S=490.5\ m[/tex]
IMPORTANT!!! DUE IN 5 MINS I NEED HELP PLEASE
the mars exploration rover (MERA) landed Mars in 2004 to explore and take pictures and samples of the rocks and soil. if MERA has a mass of 185 kg and the acceleration due to gravity on Mars is 3.7 m/s2, what is the weight of MERA on Earth and Mars?
Answer:
684.5 is the weight on mars and 1813 on earth
Explanation:
185*3.7=684.5 185*9.8=1813 you multiply for earth by 9.8 because that's the gravity on earth and you multiply by 3.7 because that's the gravity on mars
684.5 is the weight on mars and 1813 on earth
The calculation is as follows;
Weight on mars:
[tex]= 185 \times 3.7[/tex]
= 684.50
And, weight on earth is
[tex]= 185\times 9.8[/tex]
=1813
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