Can you help me please for exercise 2.
In the film Alone on Mars, Mark Watney faints in the rocket responsible for bringing him back to the ship
major. His colleague comments: “He has just taken 13 g, give him two minutes”. Before
going on an expedition, astronauts are prepared to undergo strong accelerations, commonly
quantified in g. On Earth, when a rocket "goes up to 1 g", it means that its speed increases by 10
meters per second, in one second.
The positions successively occupied by Mark have been represented. The duration separating
each position is equal to 0.50 seconds.
+M.
1) Calculate the values of the speeds vo
and go.
2) Prove that the variation of the
speed between times t. and t4 is:
AV = VA - VO = 260 m.s-1
3) What is the time interval At
separating position to and tA?
4) The acceleration 'a' is given by the
formula a = :
If, calculate the acceleration of
Mark between the M. and MA positions
Compare this acceleration with the
g-value. The sentence "He has just
take 13 g»>, it seems to you
correct?
Exercise 3: movement of the Moon (5
pt)
The Moon, the only natural satellite of the
Earth, is in orbit around it
for billions of years. Four
times smaller than the Earth, it puts.
Answers
The velocity, time and acceleration motion of Mark Watney rocket as he moves from M₀ to M₄ is described as follows;
1) v₀ = initial velocity = u
v₄ = u + 260 m/s
2) Δv = u + 260 m/s - u = 260 m/s
3) Δt = 2 seconds
4) Mark's acceleration is 13·g
What is motion under acceleration?Acceleration is the rate of change of velocity. Motion under a constant acceleration is one in which the velocity of the object changes as time changes.
The scale of the graph is 5 units = 46 meters
The distance between M₀ and M₄ = 25.5 units
1 unit = 46/5 meters/unit
25.5 units = (46/5) m/unit × 25.5 units = 234.6 meters
The time between M₀ and M₄ = 0.5 s × 4 = 2 s
= 25.5 unit × 0.5 s/unit = 12.75 s
The speed at M₄, v₄ =
The location of M₀ = 0
The location of M₄ =
The values of the speeds are;
The distance be
1) The time at M₀, t₀ = 0
The time at t₄ = 2 s
The speed, v = u + a·t
Where;
u = The initial velocity of the rocket
a = The acceleration = 13·g = 13 × 10 m/s² = 130 m/s²
The speed at v₀ = u + 130 m/s² × 0 s = u
The speed at v₄ = u + 130 m/s² × 2 s = 260 m/s2) The variation of the speed between v₄ and v₀, Δv, is found as follows;
Δv = v₄ - v₀
Therefore;
Δv = 260 m/s - 0 m/s = 260 m/s3) The number of change in position from M₀ to M₄ is found as follows;
M₀ to M₁M₁ to M₂M₂ to M₃M₃ to M₄The number of 0.5 seconds between M₀ and M₄ = 4
The time difference between t₀ and t₄ is therefore;
Δt = t₄ - t₀ = 2 seconds4) The formula for the acceleration is; [tex]a = \dfrac{\Delta v}{\Delta t}[/tex]
Therefore, the acceleration between positions M₀ and M₄ is found as follows;
The speed at M₀ = u
Speed at M₄ = u + 260 m/s
t₄ - t₀ = 2 seconds
[tex]a = \dfrac{u+260 \, m/s - u}{2\, s} = 130\, m/s^2[/tex]
The value of the acceleration due to gravity, g ≈ 10 m/s²
Therefore, a = 13·g
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Related Questions
A new planet is discovered with a radius that is 1/2 the radius of earth and 1/2 the mass of the earth. What is the acceleration due to gravity on this planet?
Answers
The acceleration due to gravity on this planet is 19.6 m/s².
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration of all other motions.
What is gravity?
In mechanics, gravity also known as gravitation is the constant force of attraction that pulls all things together. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.
Calculation:
The acceleration due to gravity on the earth's surface is given by
g = [tex]\frac{GM}{R^{2} }[/tex]
Now, Mp = [tex]\frac{M}{2}[/tex], Rp = [tex]\frac{R}{2}[/tex]
The acceleration due to gravity on the new planet is:
[tex]g_{p}[/tex] = [tex]\frac{GM_{p} }{R_{p} ^{2} }[/tex] = [tex]\frac{GM/2}{R^{2} /4^{} }[/tex] = 2g
[tex]g_{p}[/tex] = 2 × 9.8 = 19.6 m/s².
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Two students have volunteered to explore the galaxy in a spaceship. As they travel through space, they measure the magnitude of the gravitational force between their spaceship and the earth they find that the gravitational force on the spaceship is-
Answers
The gravitational pull on the spacecraft is discovered to be inversely proportional to the distance from the Earth.
If the gap were cut in half, the gravitational attraction would be more powerful. According to Coulomb's rule, the gravitational force between any two things in the universe is inversely proportional to the sum of their respective masses.
The gravitational force between two things in the cosmos is calculated as being inversely proportional to their distance from one another. Gravity is the force that holds two bodies together, body present or not.
A force that is directly inversely correlated to the square of the distance between bodies and directly inversely correlated to their product draws every body in the universe toward every other body.
Thus , Inversely related to the separation from the Earth.
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Is torque R * F or F * R?
Answers
Answer:
R*F
Explanation:
You bought a can of apricot jam. The contents marked as: net weight: 500g and volume: 400ml is the statement correct?why? and what is the mass of the jam you bought? calculate the density of jam in g/cm
Answers
The statement is not correct the mass of the jam is 500g and the density of the jam is 0.125gm/cm³
How to calculate the density?The statement is not correct because mass and volume cannot be used together to describe the contents of a can. Mass is a measure of how much matter is in an object and volume is a measure of the amount of space taken up by an object. So, in this case, the can of apricot jam should just be marked with the net weight in grams.The mass of the jam you bought is 500g.To calculate the density of the jam, we need to divide the mass by the volume. The density of the jam is 500g/400ml = 1.25g/ml. To put this in g/cm3, we need to divide the density by 1000, which gives us 1.25g/ml = 0.125g/cm3.To learn more about density refer to:
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The measurement of how far the particles are pushed from their _______________ is called amplification.
Answers
Amplification is the term used to describe how far the particles are pushed from their initial position.
Is it a measurement of how closely or widely spaced away the particles are in a given area?How closely molecules are packed together is determined by density. Because air is a gas, its molecules may either pack closely or spread widely. Higher up, less air is pressing down from above, and gravity is less away from the center of the Earth.
Sound is it longitudinal?Longitudinal waves are what makeup sound. Compressions and rarefactions are also present in longitudinal waves when they pass through any given material. When particles travel in close proximity to one another, compression occurs, generating areas of intense pressure.
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The Endocrine System
The body is made up of several systems of
that work together to
life. The endocrine
system is one of these.
make up most of the
endocrine system, which is found in the entire body, and the
These glands secrete
that regulate
bodily
and reactions. Hormones are
that tell certain
of the body to do
certain things.
for example, tells the body that
there is a need for physical activity, which is why we feel
while running, dancing, or playing sports.
Answers
Hormones are substances that communicate with your organs, skin, muscles, and other tissues through your blood to coordinate various bodily functions.
What are the skin's primary purposes?It serves as a sensory organ (touch, temperature detection), aids in temperature control, protects against mechanical, thermal, and physical injury as well as hazardous substances, prevents moisture loss, reduces the harmful effects of UV radiation, has an immune system that can detect diseases, etc.
The six primary functions of the skin are: protection, absorption, excretion, secretion, regulation, and sensation.
Our first line of defence against harmful chemicals, radiation, and poisons is our skin.
The outside world is kept at bay by a skin barrier. is the first line of defence against potentially harmful microbes.
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If energy density is the amount of energy per unit mass, which of the following statements must be true?
A) NiCd batteries have a higher energy density than lead storage batteries
B) Lead storage batteries produce less energy than NiCd batteries
C) NiCd batteries produce more electrons per mole of metal than lead storage batteries
D) Both lead storage and NiCd batteries have the same energy density
Answers
If the energy density is the amount of energy per unit mass, then the true statement is A: "NiCd batteries have a higher energy density than lead storage batteries".
One of the advantages of NiCd batteries is that NiCd batteries have a higher energy-to-weight ratio in comparison to lead storage batteries. Even though lead-storage batteries have a higher E°cell, but NiCd batteries have more energy per unit mass and are smaller in size. Therefore, it is sated that NiCd batteries have a higher energy density.
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A body of mass 3kg is dropped from a tower of height 250m. then its kinetic energy after 3 seconds will be
Answers
Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.
Explanation:
Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.
After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J
This is the kinetic energy of the body after 3 seconds of falling.
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A particle travels at a constant speed of 19.0 m / s in a circular path of radius 954.9 cm. How many turns (revolutions) does the particle make in 1 minute
Answers
The 10/π ms² turns (revolutions) the particle make in 1 minute.
What is revolution ?Whereas rotation involves travelling around the axis, occurs when one body moves around another. As an illustration, the Moon orbits the Earth, and the Earth revolves around the Sun.
What is particle ?Paul Dirac and other researchers found that the concept could be applied to electrons and everything else in addition to photons, the unit of light called a quanta: Particles are thought to be excitations of quantum fields that are present throughout space, according to quantum field theory.
When the particle completes half revolution change in velocity
Δv=[5−(−5)]m/s=10m/s
Time taken to complete the half revolution is
t = πr/ v
= π *5 / 5
= πs
Thus, average acceleration = Δv / t
= 10/π ms²
Therefore, the 10/π ms² urns (revolutions) does the particle make in 1 minute.
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An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.
Answers
The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.
An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.
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To tighten a loose screw, a torque of 90 N.m must be applied. A wrench that is 30cm long is used to tighten it. Find the minimum force needed
Answers
The minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.
What is force?
Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.
To find the minimum force needed to tighten the loose screw, we can use the equation:
F = T / r
where F is the force, T is the torque (90 N.m in this case), and r is the distance from the center of the screw to the point where the force is applied (the length of the wrench, 30 cm in this case).
We need to convert the length of the wrench from cm to meters before calculating the force:
r = 30 cm / 100 cm/m = 0.3 m
Now we can plug in the values into the equation and find the force:
F = 90 N.m / 0.3 m = 300 N
So the minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.
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Stern observed all of the following results EXCEPT _______ in his experiment. A. one of the recombinant phenotypes was associated with an X chromosome of normal length B-the number of car, B. male offspring was roughly equal to the number of car+, B male offspring C. the number of males was roughly equal to the number of females D. offspring with red, round eyes resulted from fertilization of eggs containing recombinant X chromosomes
Answers
The number of males was roughly equal to the number of females: Stern observed all of the following results EXCEPT _______ in his experiment.
What is experiment?
The Stern-Gerlach experiment (also known as the Stern-Gerlach experiment or the Stern-Gerlach magneto-optical experiment) was a landmark experiment in the early 20th century that demonstrated the inherent quantization of atomic-scale systems. It was conducted in 1922 by Otto Stern and Walther Gerlach in Germany.
The experiment showed that when a beam of silver atoms was passed through a non-uniform magnetic field, the beam split into two separate beams travelling in different directions. This showed that the silver atoms had two possible orientations of their magnetic dipole moment, which could only take on two discrete values. This phenomenon is now known as the Stern-Gerlach effect and is a fundamental part of quantum mechanics.
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If an electric heater is rated at 15,000 W, and the voltage used is 240 V, what size breaker in amps would be required
Answers
The current required by the electric heater which has the power of 15,000 W is 62.5 A
The power of the heater = 15,000 W
The voltage used by the heater = 240 V
The current required by the electric heater can be found using the formula,
P = VI
where P is the power of the electric heater
V is the voltage used by the electric heater
I is the current required by the electric heater
Let us rearrange the above equation in order to get the current required by the heater is
I = P/V
Let us substitute the known values in the above equation, we get
I = 15,000 / 240
= 62.5 A
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A microscope slide of the letter "p" is placed on the microscope stage so that it is oriented right side up with respect to the student using the microscope. What will the letter resemble when she observes the letter through the microscope?
Answers
On the microscope slide, a specimen will appear upside-down and facing left while it is actually right-side up and facing right.
What is the orientation of a microscope?The orientation of the specimen image is reversed when viewed via a microscope compared to the orientation of the actual specimen. As a result, when viewed under a microscope, the specimen will appear to be upside-down and backwards.
Coarse Adjustment Knob: To concentrate the specimen, the coarse adjustment knob, which is placed on the microscope's arm, raises and lowers the stage. With just a partial turn of the adjustment knob, the gearing system creates a significant vertical movement of the stage.
Condenser-Objective lens-Body tube-Eyepiece is the proper order for the flow of light in a compound microscope.
Use two hands at all times when moving your microscope. Lift the scope while encircling the arm with one hand.
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