I need help with question 1

The final speed of the astronaut at the space station is 0.36 m/s and the direction will be opposite to the direction of the tool kit thrown.

The mass of the astronaut = 80 kg

The mass of the tool kit = 15 kg

The speed of the space station = 1.25 m/s

The speed of the tool kit threw = 6 m/s

The final speed of the astronaut can be found using the conservation of momentum formula,

           [tex]\displaystyle m_{1}v_{f1} + m_{2}v_{f2} = m_{1}v_{i1} + m_{2}v_{i2}[/tex]

where m₁ is the mass of the astronaut

           m₂ is the mass of the tool kit

           [tex]\displaystyle v_{i1}[/tex] and [tex]\displaystyle v_{i2}[/tex] is the speed of the space station

           [tex]\displaystyle v_{f1}[/tex] is the speed of the astronaut after throwing the toolkit

Let us substitute the known values in the above equation, we get

              (80 x [tex]\displaystyle v_{f1}[/tex]) + (15 x 6) = (80 x 1.25) + (15 x 1.25)

                     (80 x [tex]\displaystyle v_{f1}[/tex]) + 90 = 100 + 18.75

                              80 x [tex]\displaystyle v_{f1}[/tex]   = 118.75 - 90

                                80 x [tex]\displaystyle v_{f1}[/tex] = 28.75

                                        [tex]\displaystyle v_{f1}[/tex] = 28.75 / 80

                                              = 0.36 m/s

Therefore, the final speed of the astronaut is 0.36 m/s

By newton's third law, for every action, there will be an equal and opposite reaction. Thus, the direction of the astronaut's direction will be against the direction of the tool kit thrown.

Learn more about the conservation of momentum in

https://brainly.com/question/2456421

#SPJ4

Niobium wire with a 2.60 mm diameter has a maximum current capacity of 500 A while still remaining superconducting.

Current is the rate at which charge passes from one point on a circuit to another. In a circuit, a significant current flows when several coulombs or charge pass over the cross section of a wire. When the charge carriers are firmly packed inside the wire, high currents can be generated at low speeds.

Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. Regular current is received at the positive end and then flows to a negative terminal.

To know more about current visit:
https://brainly.com/question/15141911

#SPJ4

When two objects with different mass are sitting on the same height ,the object with higher mass has more kinetic energy.

Higher the mass of the object higher the gravitational energy.It is the sum of potential energy and kinetic energy, It is the energy of an object either in motion or the energy that is stored in objects by their position.

          Eg =mgh

     Where ,m=mass

                 g= gravitational field

                 h= height

When an object is lifted it has gravitational potential energy.when it is dropped it begins to lose it,then form kinetic energy.

                Eg (initial) =Ek (final)

So, the object with higher mass has high kinetic energy.

To learn more about gravitational potential energy please visit:

https://brainly.com/question/26588957

 #SPJ4

The magnitude of the student's resultant displacement is 50 m.

To find the magnitude of displacement we must make all the paths.

Look at the picture

d² = 40²+30²

d² = 1,600+900

d² = 2,500

[tex]d \:=\: \sqrt{2,500}[/tex]

d = 50 m

Learn more about Displacement here: https://brainly.com/question/28370322

#SPJ4

The gravitational potential energy is equal to 8.1 Newton times 0.42 meters is 3.402 joules.

Gravitational potential energy refers to the energy that an object has or obtains when its position changes as just a result of being surrounded by a gravitational field. An energy that is linked to gravitation or the gravitational field is known as gravitational potential energy.

The energy that any object stores as a result of its position is known as gravitational potential energy.

The gravitational Potential energy is = mgh

Where m= mass

g = gravitational acceleration

h= height

The height of bag uplift = 42cm =0.42 meters

Now we have the weight which is 8.1 N

Weight in Newton = mass × gravitational acceleration

So if we have weight, Potential energy is = w×h

Therefore, after 42 cm of uplift, the gravitational potential energy is equal to 8.1 Newton times 0.42 meters, or 3.402 joules.

To know more about Gravitational Potential energy visit:

https://brainly.com/question/8822715

#SPJ13

The answer is T = 2π/ω

Further complete solution is in png format.

The weight of the board influences the amount of effort required to move it because if it were too heavy, it would just sink, and if it were too light, it would simply float away.

The gravitational pull of a second, significantly bigger object, like the Earth or Moon, on a first object is known as weight. According to the universal law of gravity, any two objects will gravitate toward one another due to their masses with a force that is inversely proportional to the square of the distance between them and precisely proportional to the product of their masses. The source of weight is this law. Because of this, larger objects naturally weigh more when placed in the same location. However, the further an object is from the Earth, the less weight it has. An object's weight at the South Pole is somewhat higher than its weight at the North Pole because the Earth's polar radius is slightly less than its equatorial radius.

To know more about  weight visit : https://brainly.com/question/13040516

#SPJ9

Answer:

See below

Explanation:

Your 'friend ' IS electrically grounded....so the electric charge will flow from you through your friend to the ground.....likely BOTH of you will feel a shock.

To know adiabatically process to calculate the entropy generation.

What is entropy?

Entropy is the amount of thermal energy per temperature unit in a system that cannot be used to carry out practical work. Entropy also functions as a stand-in for a system's molecular disorder or unpredictability because work is generated by ordered molecular motion.

What is an adiabatic process?

The thermodynamic process in which neither the system's expansion nor its compression causes heat to be transferred to its surroundings.

R- 134 a

at p₁= 100 psia, T₁= 100°f and p₂= 10 psia

using steam table A-13E

at p= 100psia, at T= 100°f

H₁= 118.90 btu/lbm s₁= 0.229 btu/lbm-°r

at it expanded adiabatically, therefore entropy will be constant

∴ h₁= h₂= 118.9 btu/lbm

∴ at p₂= 10 psia

using steam table A-13E

at p= 10 psia

T°f                          h(btu/lbm)                             s(btu/lbm-°r)

60                               115.67                                0.26531

80                               119.68                                0.27288

as we can see the h₂ is lie between 60°f and 80°f

by interpolation, we can find s₂

115.67-h₂/115.67-119.68=0.26531-s₂/0.26531-0.27288

115.67-118.9/115.67-118.9=0.26531-s₂/0.26531-0.27288

S₂= o.27288(btu/lbm-°R)

Entropy generation

Δs= s₂-s₁

=0.27288-0.229

Δs= 0.04388(btu/lbm-°R)

Therefore, the entropy generation  is 0.04388(btu/lbm-°R)

Learn more about Entrophy from the given link.

https://brainly.com/question/419265

#SPJ4

This happens because of the movement of rising air currents away from the equator.

Equator is an imaginary circle, which divides the Earth in half; while the Poles are the two points (the North Pole and the South Pole) that are crossed by the axis of rotation of the Earth. In Equator the temperature is hot, while in the Poles it is cold.

So when there is rising in the air currents movements away from the equator then whatever sunlight reflections or absorptions made by airs are reduced so in that area air density is less an sue to that sunlight is more present.

To learn more about equator, visit here

https://brainly.com/question/17353894

#SPJ4

The net force required to accelerate a car is 6000 N.

Force is defined as the product of the mass and acceleration of the body. Force is used to changing the velocity that is to accelerate an object or a body of a particular mass. The unit of Force is Newton or kg m/s^2.

The formula used to calculate the net force is :

F = ma

where, F = Force

m = mass = 2000 kg

a = acceleration = 3.00 m/s^2

∴ F = 2000*3

F = 6000 N

Thus, to accelerate the car at 3.00 m/s^2 of mass 2000 kg net force required is 6000 N.

To learn more about force,

brainly.com/question/1046166

The velocity of the 2.0 kg mass just before it hits the rocks when it is dropped from a height of 16 m above the surface of the rocks will be 17.738 m/s in downward direction

given

u = 0

m= mass = 2 kg

height = 16 m

v = ?

using kinematics equation

-s = ut - 1/2* g * [tex]t^{2}[/tex]

t = [tex]\sqrt{2s/g}[/tex]

time = [tex]\sqrt{(2*16) / 9.8}[/tex]

       = [tex]\sqrt{3.27}[/tex]

       = 1.81 seconds

v = u - gt

v = -g t = -9.8 * 1.81 = -17.738 m/s

To learn more about kinematics equations here :

https://brainly.com/question/28712225

#SPJ1

The net force on the toy is 0 Newton.

The mass of the toy is 2 kg.

The force F₁ is the tension applied by one of the siblings on the toy is 8N.

Let us assume that the force applied by the other sibling is F₂, which is produced by the acceleration is 4m/s².

We know,

Force = Mass x acceleration

Putting values,

F₂ = 2 x 4

F₂ = 8N.

As we know that the forces are in opposite directions because the toy is being pulled by both the siblings in their respective directions which are opposite to each other.

Hence, the net force F is given by,

F = F₁ - F₂

F = 8-8

F 0N.

Hence, there is no net force on the toy.

To know more about Force, visit,

https://brainly.com/question/12970081

#SPJ4

Solar energy is defined as the conversion of energy that is present in the sun and is one of the renewable energies.

Solar energy can be divided into two categories depending on how it is converted and the type of energy it is converted into.

To know more about Solar energy,

https://brainly.com/question/28302617

#SPJ4

The amplitude of the motion is 0.608.The amplitude of a particle is its maximum departure from its equilibrium position or mean position, and its direction is always in the opposite direction.

The amplitude of a particle is its maximum departure from its equilibrium position or mean position, and its direction is always in the opposite direction. Its dimensions are [L1M0 T0] and its S.I. unit is the meter.

It alludes to the greatest departure from equilibrium that an object in periodic motion can exhibit. As an illustration, consider how a pendulum moves through its equilibrium point (straight down) and then moves outward to its maximum distance.

The motion's angular frequency is

W=2[tex]\pi[/tex]/T

  =2[tex]\pi[/tex]/0.95

  =6.61

w=√k/m on a spring for a mass. Rearranging this formula results in

                                    k=wm²=0.165×6.61×6.61=7.209 N/m

A system performing simple harmonic motion has a total energy of

   E=a²k÷2 .Rearranging this formula results in

a=√2E÷k=√2×3.1÷7.209

   =0.608 m

To learn more about Amplitude motion refer to:

https://brainly.com/question/17393818

#SPJ4

The form of kinetic energy is that is larger is translational kinetic energy.

The translational kinetic energy is given by,

TK = 1/2mv²

m is the mass of the sphere,

v is the translational speed of sphere.

The rotational kinetic energy is  given by,

RE = 1/2IW²

I is the moment of inertia,

W is the angular speed of the sphere.

The moment of inertia of the solid sphere is 2/5mr²

r is the radius of the sphere,

Angular speed W = v/r

Putting these values,

RE = 1/2 x 2/5mr² x v²/r²

RE = (1/2 x 2/5)mv²

RE = 1/5mv²

Comparing both the energy we can see,

The translational kinetic energy is more as compared to rotational kinetic energy.

To know more about kinetic energy, visit,

https://brainly.com/question/25959744

#SPJ4

Mass of the given volleyball was 0.32 kg.

Impulse is a measure of instantaneous change. The total momentum of an object is determined from the total change in object mass and object velocity.

Since momentum is equal to the delivered impulse,

J = m (v- u)

Where,

J = impulse delivered (-9.3kg m/s)

u = Initial speed of the ball (4.2 m/s)

v = Final speed of the ball (-24 m/s)

m = mass of the object

-9.3 = m (-24 - 4.2)

-9.3 = m × -28.2

m = 9.3 ÷ 28.2

m = 0.32 kg

To know more about delivered impulse visit:

https://brainly.com/question/14276513

#SPJ4

Key observation that enabled Edwin Hubble to prove that the Andromeda galaxy laid far beyond the bounds of the Milky Way, thereby putting to rest the idea that it might have been a cloud within our own galaxy, was individual Cepheid variable stars.

The Andromeda galaxy was always thought to be a nebula within our own galaxy, the Milky Way. A Persian astronomer, Abd al-Rahman al-Sufi, was the first to formally describe the Andromeda as a nebulous smear (small cloud).

It wasn't until Edwin Hubble's discovery in 1925, when he identified extragalactic Cepheid variable stars for the first time on astronomical photos of Andromeda in 1925, that the Andromeda galaxy was eventually concluded to be an independent galaxy.

Learn more about Cepheid variable stars here: https://brainly.com/question/16199141

#SPJ4

Reverse greenhouse gases are most likely the root cause of Venus' atmosphere and Mars' drastically differing atmospheric characteristics.

The greenhouse effect causes the Earth to absorb more sunlight, heating the planet.

The process by which solar radiation out of a celestial object's sun is absorbed and scattered by the object's earth's atmosphere prevents that energy from reaching the object's surface is known as the anti-greenhouse effect, which would be the opposite of something like the greenhouse effect.

A runaway refrigerator, also known as the reverse greenhouse effect, happened on Mars. Mars' original temperature was lower than that of the Earth because Mars was a little further from the Sun. This indicated that a layer of liquid water formed on the surface when the water vapor condensed.

Learn more about the reverse greenhouse at

https://brainly.com/question/28301213?referrer=searchResults

#SPJ4

Catching the ball would result in a reduced speed.

A quality that a moving body possesses due to its mass and motion, and which is equal to the sum of the body's mass and velocity.

You ought to catch the ball to reduce the pace of the skateboard.

Assume that "M" is the ball's mass, "m" is the skater's mass, "V0" is the speed at which the ball was thrown, and "Vs" is the skater's speed.

If the skater catches the ball according to the law of conservation of momentum:

[tex]M*V_{0}+ m*0=(m + M)*V_{s}[/tex]

[tex]V_{s}=\frac{M*(V_{0}-V_{s })}{m}[/tex]

The ball will assume a new velocity with a direction opposite to that of the skater if the skater deflects the ball; let that new velocity be "Vb":

Since:

[tex]V_{0}-V_{s} < V_{0}+V_{b}[/tex]

Catching the ball would result in a reduced speed.

To know more about law of conservation of momentum visit:

https://brainly.com/question/24131537

#SPJ4

The question you looking for

You are standing on a skateboard, initially at rest. A friend throws a very heavy ball towards you. You can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). What should you do in order to MINIMIZE your speed on the skateboard?

Choose one of the following three answers.

A) Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.

B) You should catch the hall.

B) You should deflect the ball

The change which would increase the mechanical advantage of incisors is an increase in the length of the teeth and no change in the thickness at the widest part of the teeth and is denoted as option D.

They are referred to as a hard structure as a result of it being rich in minerals and is used to chew food so as to increase the surface area for enzymatic action during digestion.

There are different types of teeth such as incisor, molar etc with each having their unique structure and function. Incisors are used to cut food and are located in the middle region of the upper and lower jaw.

The mechanical advantage of incisors will be increased by increasing the length as it helps to bite into the food more and there should be no change in the thickness at the widest part of the teeth as changes could lead to difficulty in the teeth cutting through the substance.

Read more about Teeth here https://brainly.com/question/2110247

#SPJ1

Explanation:

Body systems work together to perform all the functions necessary for the survival of

An organism

C. Explain why the failure of one organ or organ

system can affect the function of other body

systems in an organism.

A sweptwing airplane with weak static directional stability and increased dihedral causes an increase in Dutch roll tendency. Option B.

Increasing speed increases the air flowing over and under the wing. An increase in the relative wind influence on the underside of the wing creates a large amount of air that is deflected downward, creating more lift. This is because the outer wing travels a longer distance than the inner wing, but both complete their rotation in the same amount of time.

As a result, the outer wing flies faster than the inner wing creating more lift. Since the bottom surface of the airfoil has a larger radius of curvature than the top surface, lift begins to increase with the angle of attack. Therefore the pressure gradient is downward. This means that the lower surface has a higher pressure than the upper surface and the wing receives a lift.

Learn more about A sweptwing airplane here:-https://brainly.com/question/26868878

#SPJ4

Explanation:

done with the meeting today so I m ready for bed k tai you

Answer:

Explanation:

Dx = 85 +  45·cos 30° = 85 + 45·(√3 / 2) ≈ 124 m

Dy = 45·sin 30° = 45·(1/2) = 22.5 m

D = √ (Dx² + Dy²) = √ (124² + 22.5²) ≈ 126 m

0.5rad/s^2 is the value of angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.

The rotation rate, which refers to how quickly an item rotates or circles in relation to another point, is measured vectorially by angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.

The speed at which the angular position or orientation of an object changes over time is depicted in physics by the terms "angular velocity" or "rotational velocity" ( or ), also known as "angular frequency vector,"[1] and "angular frequency vector vector." The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves.

Angular velocity=Δw/Δt

                 =w2-w1/t2-t1

=8.0-4.0/10-2.0

=0.5 rad/s^2

To learn more about angular velocity refer to:

https://brainly.com/question/20432894

#SPJ4

Answer:

Tendon

Explanation:

Tendons are a type of connective tissue that attach muscle to bone. Hope this helps! :)

The main consequence of tidal heating on Enceladus because of this elliptical orbit is that it occasionally brings the moon closer to Saturn and occasionally farther away.

When Dione, a bigger moon, orbits Saturn once, Enceladus orbits twice. Enceladus' orbit is made elliptical by Dione's gravity. This causes tidal heating inside the moon, and the following effects also:

But the ultimate cause of the geological activity on this moon had remained a mystery. Instead of a circular orbit, Enceladus orbits Saturn in an elliptical distortion. Saturn's gravity pulls and squeezes the moon as a result, heating its innards and allowing geological activity on the frozen moon.

Learn more about Enceladus here:

https://brainly.com/question/28289283

#SPJ4

The value of jam density is 17.864 kml.

Jam density refers to excessive visitor density while site visitors waft stops absolutely, commonly within the range of 185–250 cars in keeping with mile per lane. but, calculations approximately congested networks are greater complex and rely extra on empirical research and extrapolations from real avenues counts on on.

Density is increased with the aid of human beings joining a street from on-ramps, and this causes automobiles to gradually down, i.e. human beings are generally horrific at merging at pace. Then some humans who've been held up inside the left-hand lane flow to the center lane which causes the identical problem in the middle lane – visitors back up.

Given,

у = 90 km/ max = 3300 ven Ihr Sa Calculate Jam density,

• ІК, 4- 27 = 900 x Е. 4 allega 40 vellum) Put all valu

- 224² = 1980 4 - 28350 to a 224²-19804 + 28350 20 after folving

TH=72.14 kalho and 14a 17.864 kml.

Learn more about jam density here:-https://brainly.com/question/13580481

#SPJ4

If the power is quadrupled, The amplitude changes by factor of 2 means double.

The greatest displacement or distance moved by a point on a vibrating body or wave from its equilibrium position. It is one-half of the length of the vibration path.

Given,

If the amount of power applied to the string is quadrupled.

The power transmitted by a sinusoidal wave on a stretched string formula is,

P=[tex]1/2[/tex](μω²A²v)

Where μ mass per unit length

ω=angular speed

A= amplitude  

v=wave speed  

P=power delivered.

We only need two terms in this case: power and amplitude.

P∝ A²

For our problem, all other quantities are constant.,

A= k √P

Where k= constant

Power is quadrupled here, which means four times.,

A=√4P

A=2√P

Changing the amplitude by a factor of two means doubling.

To know more about amplitude, visit:

https://brainly.com/question/8662436

#SPJ4