Explanation:
In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors. Common types of potential energy include the gravitational potential energy of an object that depends on its mass and its distance from the center of mass of another object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The battery is storing the energy but give it something to power and it'll give its energy to the object and a violin strings are like ruber band and if you play the violin it releases a new type of energy sound energy.
b) A space shuttle burns fuel at the rate of 13,000kg in each second. Find the force exerted by the fuel on the shuttle if in 2s the shuttle experiences a change in momentum of 325,000kgm/s.
The shuttle is under a force of 1.625 105N from the fuel. The force on a body expressed as a change in momentum is,
F= Δ\(\frac{p}{t}\) (1)
Where,
F is the force that the shuttle is being subjected to from the fuel.
P represents the change in the shuttle's momentum.
t stands for the overall amount of time needed.
Considering our query,
ΔP= \(=325000=3.25X 10^{5} kg-m/s\)
t = 2 seconds
Equation (1) yields the following results when the necessary values are substituted:
\(F= \frac{3.25 10^{5} }{2}\)
\(F= 1.625\) x \(10^{5}\)N
Hence, 1.625105N is the force the fuel is exerting on the shuttle. The amount of motion a body has is referred to as momentum. Given that momentum relies on both velocity and the vector of the body's motion, it really is quantified as "mass speed". As acceleration and mass are both scalar quantities, vector quantities include momentum.
To know more about momentum click here
brainly.com/question/30677308
#SPJ1
The surface tension of isopropanol in air has a value of 23.00 units and the
surface tension of water in air is 72.80 units. Which two statements are true?
A. Isopropanol will have a flatter meniscus than water because the
forces between the molecules are smaller.
B. Isopropanol will have a more curved meniscus than water
because the forces between the molecules are greater.
C. Isopropanol will have a lower boiling point than water because the
forces between the molecules are smaller.
D. Isopropanol will have a higher boiling point than water because
the forces between the molecules are greater.
Answer:
It's A & C
Explanation:
:p
Knowing the surface tension of isopropanol in air and surface tension of water in air we can say that:
Isopropanol will have a flatter meniscus than water because the forces between the molecules are smaller Isopropanol will have a lower boiling point than water because the forces between the molecules are smaller.What is isopropanol alcohol for?Isopropyl alcohol (IPA) at various concentration levels is considered a disinfectant (not for bacterial spores), virucide, fungicide and an effective waste removal agent widely used in cleanrooms and other contamination controlled environments.
So compare the surface tension of isopropanol and the water we can say that Isopropanol will have a flatter meniscus than water because the forces between the molecules are smaller and Isopropanol will have a lower boiling point than water because the forces between the molecules are smaller.
See more about isopropanol at brainly.com/question/22284953
#SPJ2
a student releases a ball from rest on an inclined plane and measures that it travels a distance of 0.5 m in a time of 2.0 s. the average speed of the ball is
The average speed of the ball is 0.25 m/s
Define speed.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
The displacement of a body over a predetermined amount of time is referred to as velocity. It has a scalar value. A vector quantity, that is.
Distance/Time = Speed.
A force has the power to alter an object's motion's direction. A greater force acting on an object will result in a greater change in motion. To undergo the same change in motion, a heavier object needs more force than a lighter thing.
S = Average speed
d = total distance
t = total time.
S = d/t.
d = 0.5m
t = 2.0s
S = 0.5/2
S = 0.25m/s
To learn more about speed use link below:
https://brainly.com/question/27888149
#SPJ4
prove p=f/a science chapter pressure
Explanation:
Let 'F' be force acting perpendicularly, 'A' be the area and 'P' be the pressure exerted.
Then,
Pressure is directly proportional to the the force acting perpendicularly i.e.
P ∝ F ............. (i)
Pressure is inversely proportional to the area on which force acts i.e.
P ∝ 1/A ........... (ii)
Combining equations (i) and (ii),
P ∝ F/A
or, P = K × F/A [where K is a constant]
If F is 1N, A is 1m² and P is 1 N/m², then K is 1.
So, P = F/A proved...
Find the electric field a distance z above the center of a square loop (side a) carrying uniform line charge λ
The electric field at a distance z above the center of a square loop carrying uniform line charge λ can be calculated using the formula:
E = λ / (4πε₀) * [(√2 + z) / (a² + z²) + (√2 - z) / (a² + z²)]
Where E is the electric field, λ is the line charge density, ε₀ is the permittivity of free space, z is the distance above the center of the loop, and a is the side length of the square loop.
The formula takes into account the contributions of the electric field from each side of the square loop. The terms (√2 + z) / (a² + z²) and (√2 - z) / (a² + z²) represent the field contributions from the sides parallel and perpendicular to the direction of the distance z, respectively. By summing these contributions, we can determine the electric field at the given distance above the center of the loop.
Learn more about electric field here:
https://brainly.com/question/30544719
#SPJ11
(1 point) suppose a spring with spring constant 8 n/m is horizontal and has one end attached to a wall and the other end attached to a mass. you want to use the spring to weigh items. you put the spring into motion and find the frequency to be 0.9 hz (cycles per second). what is the mass? assume there is no friction. mass
According to the given statement The mass attached to the spring is 3.99 kg.
What is Spring mass system ?A spring system with a block hanging from or affixed to the spring's free end is known as a spring-mass system. The spring-mass system is typically used to calculate the duration of any object in a simple harmonic motion.
Briefing:F = -kx
where k is the spring constant, and
x is the displacement of the spring
The angular frequency of the spring is:
\(\omega=\sqrt{\frac{k}{m}}\)
m is the mass of object attached to the spring
So, frequency:
f = ω/2π = \(\frac{1}{2 \pi} \sqrt{\frac{k}{m}}\)
m = 4π²f² / k
given that f = 0.9 Hz, and
k = 9 N/m
m = (4×π²×0.9²)/8
m = 3.99 kg
To know more about Spring mass system visit:
https://brainly.com/question/23365867
#SPJ4
A small engine causes a 0.5 kg model airplane to accelerate at a rate of 13 m/s.What is the net force of the airplane
Answer: F = 3.3
Explanation:
looking toward the galactic center, we see no redshift or blueshift. this tells us:
If we see towards the galactic center and then we are not able to see the red shift and blue shift that means that the galaxy are not gravitationally lensed.
Some distant galaxies are gravitationally lensed. Some nearby galaxies are attracted to us because of the mass of the Milky Way. Some nearby galaxies have vigorous star formation and are much bluer than others. The concept of redshift and blueshift is closely related to the Doppler effect — which is an apparent shift in soundwave frequency for observers depending on whether the source is approaching or moving away from them. Observers looking at an object that is moving away from them see light that has a longer wavelength than it had when it was emitted (a redshift), while observers looking at an approaching source see light that is shifted to shorter wavelength (a blueshift).
Learn more about Galactic center:
brainly.com/question/29910853
#SPJ4
An iron rod with an initial length of 12.62 m has its temperature raised from 19o C to 30.6o C. If iron has a coefficient of thermal expansion of 12x10-6 1/oC, what is the change in length of the rod in mm?
ANSWER:
1.757 mm
STEP-BY-STEP EXPLANATION:
The coefficient of linear expansion is given by the following formula:
\(\alpha=\frac{\Delta L}{L\Delta T}\)Where α = coefficiente of linear expasion, ΔL = change in lenght, ΔT = change in tempetature
Solving for ΔL:
\(\Delta L=\alpha\cdot L\cdot\Delta T\)Replacing and we calculate the change in lenght:
\(\begin{gathered} \Delta L=12\cdot10^{-6}\cdot12.62\cdot(30.6-19) \\ \Delta L=0.001757\text{ m}\cdot\frac{1000\text{ mm}}{1\text{ m}}=1.757\text{ mm} \end{gathered}\)The change in length is 1.757 mm
(ii) a cord of mass 0.55 kg is stretched°between two supports 30 in apart. if the tension in the cord· is 150n, how long will it take a pulse to travel from one support to the other?
It will take approximately 0.053 seconds for a pulse to travel from one support to the other if a cord of mass 0.55 kg is stretched° between two supports 30 in apart and if the tension in the cord· is 150n
We'll be using the following terms in the solution: mass, tension, distance, pulse, and time. Calculate the linear mass density (μ) of the cord.
μ = (mass of the cord) / (length of the cord)
μ = 0.55 kg / 30 in
Note: We need to convert inches to meters. There are 0.0254 meters in 1 inch.
30 in * 0.0254 m/in = 0.762 m
Now, we can find the linear mass density:
μ = 0.55 kg / 0.762 m = 0.721 kg/m
Calculate the speed (v) of the pulse on the cord using tension (T) and linear mass density (μ).
v = √(T / μ)
v = √(150 N / 0.721 kg/m)
Solve for the speed of the pulse.
v ≈ √(207.49 m²/s²) ≈ 14.4 m/s
Calculate the time (t) it takes for the pulse to travel between the supports.
t = (distance between supports) / (speed of pulse)
t = 0.762 m / 14.4 m/s
Solve for the time.
t ≈ 0.053 s
So, it will take approximately 0.053 seconds for a pulse to travel from one support to the other.
More on tension: https://brainly.com/question/28017896
#SPJ11
please help me out with this.
To find the current in the resistor, we can use Ohm's Law and the concept of equivalent resistance. Thus, option A is correct.
First, let's calculate the equivalent resistance of the three cells connected in parallel. When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances:
1/Req = 1/R1 + 1/R2 + 1/R3
Given that R1 = R2 = R3 = 22 Ω (internal resistance of each cell), we can substitute the values:
1/Req = 1/22 + 1/22 + 1/22
1/Req = 3/22
Taking the reciprocal of both sides, we find:
Req = 22/3 Ω
Now we can use Ohm's Law to calculate the current (I) in the resistor. Ohm's Law states that the current flowing through a resistor is equal to the voltage across it divided by its resistance:
I = V/R
Given that V = 1.1 V (emf of each cell) and R = 32 Ω (resistance), we can substitute the values:
I = 1.1/32
Calculating this value, we find:
I ≈ 0.034375 A
Therefore, the current in the resistor is approximately 0.034375 A.
Learn more about current on:
https://brainly.com/question/15141911
#SPJ1
In a given chemical reaction the time energy of the products is less than the energy of the reactants which statements is true for this chemical reaction
Answer:
Energy is released in this reaction possibly in the form of heat thus it is an exergonic and or exothermic reaction.
Explanation:
The energy is sometimes transferred as heat, inflicting the reaction mixture and its surroundings to become hotter. The temperature increase may be detected employing a measuring device. Some samples of exothermic reactions are: Combustion .An chemical reaction may be a chemical process that releases energy by lightweight or heat
Hope this helps...
Have a nice day!!!!
does the area of contact effect the frictional force . explain?
Answer:
The force due to friction is generally independent of the contact area between the two surfaces. This means that even if you have two heavy objects of the same mass, where one is half as long and twice as high as the other one, they still experience the same frictional force when you drag them over the ground.
Plz mark 5 star, thanks, and brainliest
What will happen to the ball in example C if there is no friction?
A) The ball will roll forever in a straight path
B) The ball will roll forever in a curved path
C) The ball will stop rolling eventually
D) The ball's final position will be 10m away from the starting point
Answer:
A) The ball will roll forever in a straight path.
Camille knows that range of motion is very important. She is designing a weekly exercise program and is not sure where flexibility fits in. What
type of exercise will BEST allow her to work on range of motion?
O A.
aerobic
B. balance
C. flexibility
D. strength training
The best activity for her to do to improve her range of motion is flexibility.
What are a few range of motion illustrations?The term the range of motion (ROM) describes the extent to which a joint or muscle may be moved or stretched. Everybody has a distinct experience. For instance, whereas some people can perform a complete split, others cannot because their joints are stiff and their muscles are unable to extend as far.
What restricts motion range?A joint is said to have a restricted range of motion when it cannot move easily and completely in its typical position. A mechanical issue within the joint, swollen tissues around the joint, or pain may restrict motion.
To knoiw more about range of motion visit:
https://brainly.com/question/13403291
#SPJ1
A sound wave in air travels 660 metres in 2 seconds. Calculate the speed of the sound wave.
Recall and state the equation used.
Answer:
330 meters per second
Explanation:
Δx = vt
660 = 2v
Divide both sides by 2 to get 330 = v
A body was found in the basement of the Underwater Basket Weaving Building at 12:00 noon today, where the temperature is a steady 65 degrees Fahrenheit. When found, the core temperature was 92.7 degrees Fahrenheit. Two hours later, at 2:00 PM, the core temperature had fallen to 88. Assuming that the body temperature was 98.6 at the time of death, use Newton's law of cooling to find the time of death. ROUND TO 2 DECIMAL PLACES. The time of death was about hours before the body was found.
Using Newton's law of cooling, the time of death could have been 2 hours and 7 minutes before the body was found or around 9:53 AM.
According to Newton's Law of Cooling, the change in temperature of a body is proportional to the difference between its own temperature and the temperature of its surroundings. The law is expressed by the formula:
T(t) = T_a + (T_0 - T_a)e^(-kt),
where T(t) is the temperature of the body at time t, T_0 is the initial temperature of the body, T_a is the ambient temperature (in this case, 65 degrees Fahrenheit), and k is a constant of proportionality.
To find the time of death, we need to solve for t in the formula above. We know that at the time of death, the body temperature was 98.6 degrees Fahrenheit, so T_0 = 98.6. We also know that two hours later, the core temperature had fallen to 88 degrees Fahrenheit, so T(2) = 88. Plugging these values into the formula, we get:
88 = 65 + (98.6 - 65)e^(-k*2)
23 = 33.6e^(-2k)
ln(23/33.6) = -2k
0.3257 = k
Now we can solve for t using the formula:
T(t) = 65 + (98.6 - 65)e^(-0.3257t)
We want to find the time when the body temperature was 98.6 degrees Fahrenheit, so we plug that value in for T(t) and solve for t:
98.6 = 65 + (98.6 - 65)e^(-0.3257t)
33.6 = 33.6e^(-0.3257t)
e^(-0.3257t) = 1
t = ln(1)/(-0.3257)
t = 2.12 ≈ 2 hours and 7 minutes
Therefore, the time of death was about 2 hours and 7 minutes before the body was found or at around 9:53 AM.
Learn more about Newton's Law of Cooling here: https://brainly.com/question/29672785
#SPJ11
PLEASE HELP ASAP WILL GIVE 10 PTS
Which item is made from a synthetic material?
A. cotton pants
B. leather jacket
C. tissue paper
D. wicker basket
Answer: A. Cotton Pants
Explanation:
Answer:
A
Explanation:
If a vector C is defined to be the sum of these two vectors (i.e. C = A + B) which of the following are true about the magnitude of C? Choose all that apply.
Cmax = (1^2 + 10^2)^0.5
Cmin = 9
Cmax = 10
Cmin = 0
Cmin = (1^2 + 10^2)^0.5
Cmax = 11
Cmax = 11 and Cmin = 9
When two vectors are added, let's say a and b, their resultant, let's say c is given by
c = √(a² + b² + 2ab cosΦ)
where Φ is the angle between them.
Assuming in given question a = 10 and b =1
so resultant c = √(10² + 1² + 2×10×1× cosΦ)
for Cmax, cosΦ = 1, a and b are parallel
so Cmax = √(a² + b² + 2ab)
Cmax = a + b
Cmax = 10 + 1
Cmax = 11,
similarly for Cmin, cosΦ = -1, a and b are antiparallel
so Cmin = √(a² + b² - 2ab)
Cmin = a- b
Cmin = 10 - 1
Cmin = 9
Therefore, Cmax = 11 and Cmin = 9.
To know more about vector addition, click here:
https://brainly.com/question/23867486
#SPJ12
Please help :((((((((
First column (left side):
1 g
1600 mm
0.109 kg
0.250 km
14,000 m
1,000 mL
4.80 m
0.027 kg
Can someone please help meee!! >.<
One day, you went for a walk with your family on the beach. You noticed that there was a lot of trash and a large oil spill in the water. Please write in a long term paragraph.
Atmospheric conditions near the Gulf of Mexico are such that a cloud at an altitude of 1.90 km contains 3.20 ✕ 107 kg of water vapor. How long (in years) would it take for a 2.21 kW pump to raise this amount of water (at a constant speed) from Earth's surface to the altitude of the cloud?
Answer:
t = 8.55 years
Explanation:
The formula for power is given as:
Power = Work/Time
but, the work here is equal to the increase in potential energy of the water. Therefore,
Power = P.E/Time
P = mgh/t
t = mgh/P
where,
t = time required = ?
P = Power of pump = 2.21 KW = 2210 W
m = mass of water = 3.2 x 10⁷ kg
h = height = 1.9 km = 1900 m
g = 9.8 m/s²
Therefore,
t = (3.2 x 10⁷ kg)(9.8 m/s²)(1900 m)/(2210 W)
t = (2.69 x 10⁸ s)(1 h/3600 s)(1 day/24 h)(1 year/365 days)
t = 8.55 years
What is the root cause of earths magnetic field?
Answer:
I'm not sure but I think it is electric currents in the outer core
PLS HELP ME Which object has the greatest kinetic energy?
A: a truck with a mass of 3,500 kg moving at 30 m/s
B: a person with a mass of 73 kg running 6 m/s
C: a locomotive engine with a mass of 205,000 kg moving 5 m/s
D: a fast pitched baseball with a mass of .5 kg moving at 46.9 m/s
A locomotive engine with a mad of 205000kg moving with 5m/s
Explanation:
\(from \: the \: options \: substitute \: the \: formulars \: for \: kinetic \: energy \\ for \: opton \: a \: ke = \frac{1}{2} mv {}^{2} = \frac{1}{2} \times 3500 \times 30 {}^{2} = 1575000 \\ for \: option \: b \: ke = \frac{1}{2} mv {}^{2} = \frac{1}{2} \times 73 \times 6 {}^{2} = 1314 \\ for \: option \: \: c = \frac{1}{2}mv {}^{2} = \frac{1}{2} \times 205000 \times 5 {}^{2} = 2562500 \\ for \: option \: d \: = \frac{1}{2}mv {}^{2} = \frac{1}{2} \times 0.5 \times(46.9) {}^{2} = 549.9025 \\ from \: the \: analysis \: above \: the \: options \: that \: has \: the \: highest \: kinetic \: energy \: is \: a \: locomotive \: engine \: with \: a \: mass \: of \: 205000kg \: moving \: with \: a \: velocity \: of \: 5 \frac{m}{s} \)
I need help on number six... I need to use the kinematics formula.
Given:
Height = 0.8 m
Initial velocity = 7.6 m/s
Given that the ball goes straight up, let's solve for the following.
(a) What will be the ball's velocity when it gets back to its original height.
Since the ball has an initial velocity of 7.6 m/s, the ball's velocity when it gets back to its original height will be the opposite of the initial velocity.
Here, the final velocity will be the same as the initial velocity but in the downward direction.
Therefore, the ball's velocity when it gets back to its original height will be -7.6 m/s
(b) How long will it take the volleyball to get to the top of its path.
To find how long it will take the volleyball to get to the top of its path, apply the formula:
\(v^2_f=v^2_i+2ad\)Where:
vf is the final velocity at its maximum height = 0 m/s
vi is the initial velocity = 7.6 m/s
a is acceleration due to gravity = -9.8 m/s^2
d is the displacement
Let's solve for the displacement.
We have:
\(\begin{gathered} d=\frac{v^2_f-v^2_i}{2a} \\ \\ d=\frac{0^2-7.6^2}{2(-9.8)} \\ \\ d=2.95\text{ m} \end{gathered}\)Now, to find the time it will take, apply the formula:
\(v_f=v_i+at\)Where t is the time.
We have:
\(\begin{gathered} 0=7.6+(-9.8)t \\ \\ t=\frac{-7.6}{-9.8} \\ \\ t=0.78s \end{gathered}\)ANSWER:
(a) -7.6 m/s
(b) 0.78 s
Discuss the representation of Signals in Time and Frequency domains with 2 Advantages and 2 Disadvantages of Time domain over Frequency domain representation.
In signal processing, signals can be represented and analyzed in both the time domain and the frequency domain. Each domain offers unique advantages and disadvantages.
Let's discuss the representation of signals in both domains and then focus on the advantages and disadvantages of the time domain representation.
The time domain representation of signals shows how they vary over time, providing valuable temporal information and intuitive interpretation.
It allows us to observe the timing and sequencing of events and is suitable for real-time systems. However, it has limitations.
Firstly, it provides limited frequency information, making it challenging to determine the underlying frequencies accurately.
Secondly, time domain representations are more susceptible to noise interference, making it harder to distinguish the desired signal from unwanted noise.
In contrast, the frequency domain representation decomposes signals into constituent frequencies, allowing identification of frequency components and spectral analysis.
It is useful for applications like audio processing and modulation. Choosing between the domains depends on specific requirements.
The advantages of the time domain include temporal localization and ease of implementation, while its disadvantages lie in limited frequency information and noise sensitivity.
To know more about time domain representation, visit:
https://brainly.com/question/31150513
#SPJ11
the brake should be pulled all the way up to assure that it is set properly
The statement suggests that the brake should be pulled all the way up to ensure it is set properly.
Pulling the brake all the way up is an important step to ensure that it is set properly and effectively engages the braking mechanism. By pulling the brake lever or handle all the way up, it maximizes the force applied to the brake system, allowing for a secure and reliable hold.
When the brake is pulled all the way up, it increases the friction between the brake pads or shoes and the braking surface, such as the rotor or drum. This increased friction provides a stronger braking force, which is essential for safely immobilizing or holding a vehicle in place.
Pulling the brake all the way up also helps to ensure that any potential slack or play in the brake system is taken up, minimizing the risk of unintended movement. This action provides greater confidence that the brake is fully engaged and properly set, reducing the possibility of accidents or unexpected vehicle motion.
In summary, pulling the brake all the way up is necessary to set the brake properly and ensure maximum effectiveness. It increases the force applied to the braking mechanism, maximizes friction, eliminates slack, and enhances the overall safety and security of the braking system.
Learn more about break:
https://brainly.com/question/29428385
#SPJ11
9) An elephant puts a force of 36 000 N on its four feet, which each have an area of 1800 cm².
What is the pressure it exerts on the ground?
Answer:
Explanation:
Given:
F = 36 000 H
S₁ = 1 800 cm² = 0.18 m² (The area of the base of one elephant's foot)
n = 4 (number of legs on an elephant )
______________________
p - ?
Support area:
S = n·S₁ = 4·0.18 = 0,72 m²
Pressure:
\(p = \frac{F}{S} \\p = \frac{36000}{0.72} = 112 500 Pa\)
p ≈ 110 kPa
Please help ASAP please
Answer:
Explanat WRITE A ONE PAGE ESSAY TO EXPLAIN THE AUTHOR'S PURPOSE IN WRITING HOM SMART ARE ANIMAL
Astronaut X of mass 50kg floats next to Astronaut Y of mass 100kg while in space, as shown in the figure. The positive direction is shown. Astronaut X applies a force against Astronaut Y such that the kinetic energy of each astronaut as a function of time is shown in the graph. What is the change in momentum of the two-astronaut system and the change in momentum of each astronaut from immediately before the force was applied to immediately after the force was applied?
Answer:
C
Explanation:
The change in momentum of x has to be the opposite of the change in momentum of Y because the momentum is just transferred from one to another. But I'm still trying to figure it out how to calculate.
The change in momentum of the system is zero, change in momentum of astronaut X is -100 Kg·m/s and change in momentum of astronaut Y is 100 Kg·m/s.
To find the correct statement among all other options, we need to know more about the conservation of linear momentum.
What is linear momentum?Linear momentum of an object is the product of its mass and velocity of it.
What is conservation of linear momentum?In the absence of net external force, the linear momentum of a system remains constant.
How does the conservation of linear momentum apply to find the linear momentum of the two-astronaut system? The two astronaut system includes the both astronauts X and Y. When the astronaut X was applying force on astronaut Y, there is no external force on the system. Here we can not take the force applied by astronaut X as external force because the astronaut X is a part of the system. Since, there is no external force acting on the system, so the linear momentum of the system both before and after the force applied by astronaut X is zero.Therefore, the change in momentum of the two astronaut system is 0.How do we find linear momentum from kinetic energy?Kinetic energy = 1/2 × mass × velocity².So, 2 × mass × kinetic energy = ( mass × velocity )² = momentum²Or momentum = \(\sqrt{2 × mass × kinetic energy }\)What is the change in linear momentum of astronaut X?Before the force applied by astronaut X, astronaut X was constant with respect to astronaut Y. So its linear momentum is 0.After the application of force, the astronaut X has kinetic energy 100 J. So its momentum is \(\sqrt{2 × 50 × 100 }\) or 100 Kg·m/s.So, change in linear momentum of astronaut X is -100 Kg·m/s. Negative sign due to the motion of astronaut X along the opposite direction that of astronaut Y.What is the change in linear momentum of astronaut Y?Similarly, astronaut Y was at constant before the application of force. So, its linear momentum is 0.After the force applied by astronaut X, the astronaut Y has kinetic energy 50J. So, its linear momentum is \(\sqrt{2 × 100 × 50}\) or 100 Kg·m/s.So, change in linear momentum of astronaut Y is 100 Kg·m/s.Thus, we can conclude that option (c) is correct.
Learn more about linear momentum here:
https://brainly.com/question/7538238
#SPJ2