Two astronauts, one of mass 60 kg and the other 70 kg, are floating in the International Space Station when one bumps into the other. The 60 kg astronaut floats away with an acceleration of 0.40 m/s2. What is the acceleration of the 70 kg astronaut?

Answer:

24° north of east

Explanation:

tan(x)=90/200 ie x=arctan(90/200)=24°

So the plane took off 24° east.

Answer:

24° north of east

Explanation:

Hope this will help

The voltage drop across the 18 kΩ resistor is 90 volts. This means that when a current of 5 mA flows through an 18 kΩ resistor, there is a potential difference of 90 volts across the resistor.

To calculate the voltage drop across a resistor, Ohm's Law can be applied. Ohm's Law states that the voltage (V) across a resistor is equal to the product of the current (I) flowing through it and the resistance (R) of the resistor. The formula for Ohm's Law is V = I * R.

Given:

Current (I) = 5 mA = 5 * 10^(-3) A

Resistance (R) = 18 kΩ = 18 * 10^(3) Ω

Using Ohm's Law, we can calculate the voltage drop (V):

V = I * R

= (5 * 10^(-3) A) * (18 * 10^(3) Ω)

= 90 V

Therefore, the voltage drop across the 18 kΩ resistor is 90 volts. This means that when a current of 5 mA flows through an 18 kΩ resistor, there is a potential difference of 90 volts across the resistor.

for such more questions on voltage

https://brainly.com/question/1176850

#SPJ8

The energy density inside a coil can be calculated using the formula:

Energy density (u) = (1/2) * (μ₀ * B^2)

Where u is the energy density, μ₀ is the permeability of free space, and B is the magnetic field strength.

The magnetic field strength (B) inside a solenoid (coil) is given by:

B = μ₀ * n * I

Where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current flowing through the coil.

Given:

Length of the coil (l) = 1 m

Number of turns (n) = 2000

Current (I) = 25 A

First, we need to calculate the magnetic field strength (B) inside the coil:

B = μ₀ * n * I

Next, we can calculate the energy density (u) using the magnetic field strength:

u = (1/2) * (μ₀ * \(B^2\))

Let's substitute the given values into the formulas:

B = μ₀ * n * I

B = (4π × \(10^{-7}\)) T·m/A) * (2000 turns/m) * 25 A

Calculate the value of B.

Once we have the value of B, we can calculate the energy density (u):

u = (1/2) * (μ₀ * \(B^2\))

Substitute the value of B and evaluate the expression to find the energy density inside the coil.

To learn more about energy density visit:

https://brainly.com/question/29559959

#SPJ11

Answer:

Explanation:

To find the amplitude of the sound, we must first determine the wavelength and the phase difference between the two speakers.

For the wavelength;

Recall that, the separation between two successive max. and min. intensity points are \(\dfrac{\lambda}{2}\)

Thus; for both speakers; the wavelength of the sound is:

\(\dfrac{\lambda}{2} = (10+30) cm\)

\(\dfrac{\lambda}{2} = (40) cm\)

λ = 80 cm

The relation between the path difference(Δx) and the phase difference(Δ∅) is:

\(\Delta \phi = \dfrac{2 \pi}{\lambda}\Delta x + \Delta \phi_o\)

where;

Δx = 10 cm

λ = 80 cm

Δ∅ = π rad

∴

\(\Delta \phi = \dfrac{2 \pi}{\lambda}\Delta x + \Delta \phi_o\)

\(\pi \ rad = \dfrac{2 \pi}{80 \ cm}(10 \ cm) + \Delta \phi_o\)

\(\pi \ rad = \dfrac{2 \pi}{8}+ \Delta \phi_o\)

\(\pi \ rad = \dfrac{ \pi}{4}+ \Delta \phi_o\)

\(\Delta \phi_o = \pi -\dfrac{ \pi}{4}\)

\(\Delta \phi_o = \dfrac{ 4\pi - \pi}{4}\)

\(\Delta \phi_o = \dfrac{ 3\pi}{4} \ rad\)

Suppose both speakers are placed side-by-side, then the path difference between the two speakers is: Δx = 0 cm

Thus, we have:

\(\Delta \phi = \dfrac{2 \pi}{\lambda}\Delta x + \Delta \phi_o\)

\(\Delta \phi = \dfrac{2 \pi}{\lambda}(0 \ cm ) + \dfrac{3 \pi}{4} \ rad\)

\(\Delta \phi = \dfrac{3 \pi}{4} \ rad\)

∴

The amplitude of the sound wave if the two speakers are placed side-by-side is:

\(A = 2a \ cos \bigg (\dfrac{\Delta \phi }{2} \bigg)\)

\(A = 2a \ cos \bigg (\dfrac{\dfrac{3 \pi}{4} }{2} \bigg)\)

\(A = 2a \ cos \bigg ({\dfrac{3 \pi}{8} } \bigg)\)

A = 0.765a

The expressions for sound interference allows to find the amplitude for the wave when the two speakers are together is:

Given parameters

To find

The interference phenomenon occurs when two coherent waves have paths of different lengths to reach a point, we have two extreme cases:

                        Δr = \(2n \ \frac{\lambda}{2}\)  

                        Δr = \((2n+1) \ \frac{\lambda}{2}\)  

Where Δr₁ and Δr₂ are the path difference, λ is the wavelength and n is an integer.

Let's start by looking for the wavelength that the speakers emit, see attached.

Destructive Interference       Δr₂ = (2n + 1) la / 2

Constructive interference    Δr₁ = 2n lam / s

Let's solve the system.

               Δr₂ - Δr₁ = \(\frac{\lambda}{2}\)  

Let's calculate

              30 - (-10) = \(\frac{\lambda}{2}\)  

              λ = 80 cm

Now we can use the general relation for the path change and the phase.

             \(\frac{\delta r}{\lambda } = \frac{\phi - \phi_o}{2\pi }\)

             \(\phi = \frac{\Delta r \ 2\pi }{\lambda } + \phi_o\)fi = Dr 2pi / lam + fio

Where \(\phi\) is the possible initial phase difference between the speakers.

Let's find the initial phase difference emitted by the two speakers, let's use destructive interference, for which the phase difference is:

             \(\phi = \pi \ rad\)  

Let's calculate

             \(\pi = \frac{2\pi }{80} \ 10 + \phi_o \\\phi_o = \pi - \frac{\pi}{4}\)

              \(\phi_o\)  = ¾ \(\pi\) rad

This value is kept constant, let's find the phase angle for when the speakers are together, so the path difference is zero Δr = 0      

            \(0= \frac{\phi - \phi_o}{2\pi }\\\phi = \phi_o\)

            \(\phi\) = ¾ pi

The amplitude of the sound wave is

            A = 2a cos \(\frac{\phi}{2}\)  

            A = 2a cos ⅜ π

           A = 0.765 a

In conclusion using the expression for sound interference we can find the amplitude for the wave when the two speakers are together is:

           A = 0.765a

Learn more here:   brainly.com/question/14006922

When a light rain falls after oil and gasoline have leaked onto the road surface, it can cause the car to become less responsive and more difficult to control.

This is because the oil and gasoline act as a slippery layer on the road surface, which reduces the friction between the tires and the road. The rainwater can then mix with the oil and gasoline, making the layer even more slippery and reducing the vehicle's grip on the road.

To help mitigate this issue, drivers should be aware of their surroundings and the potential for slippery surfaces, and should adjust their speed and driving accordingly. Additionally, using tires with greater tread, or using more aggressive tires designed for wet and slippery conditions, can also help increase the vehicle's grip on the road.

Learn more about oil and gasoline spillage in cars:

https://brainly.com/question/28350533

#SPJ4

Answer:

In order to convert density to grams, you have to put the mass on one side of the equation, and the density and the volume on the other. Therefore, d * v = m. Multiply the density by the volume. Using the example in step 1, you would multiply 2 g/mL by 4mL.

Explanation:

ok

The part of the microscope that the objectives are attached to is called the (C) nosepiece.

The nosepiece is a rotating mechanism located below the microscope's body tube. It holds the objectives, which are the lenses responsible for magnifying the specimen. The nosepiece typically has multiple positions, allowing the user to switch between different objective lenses for varying levels of magnification.

This convenient feature eliminates the need to manually remove and replace objectives when changing magnification. By rotating the nosepiece, different objectives can be brought into position above the specimen. This allows for quick and efficient adjustments in magnification without disrupting the viewing process.

Hence, the nosepiece plays a critical role in the microscope's functionality by providing a convenient way to switch between objectives and adjust the magnification level.

Learn more about nosepiece here:

https://brainly.com/question/30515439

#SPJ11

Here is the complete question:

What is the name of the part of the microscope that the objectives are attached to? (Choose the best answer)

A. Ocular

B. Stage

C. Nosepiece

D. Arm

Surprise is the facial expressions is recognized by people of all cultures.

Learn more about facial expression refer to :

https://brainly.com/question/15850146

#SPJ4

The water budget equation for the Creek drainage basin is: Precipitation = Stream discharge + Evapotranspiration ± Change in storage.

To develop the water budget equation for this problem, we need to account for the inputs and outputs of water in the Creek drainage basin. The water budget equation can be expressed as,

P = Q + ET ± ΔS

P = Precipitation input (mm)

Q = Stream discharge (m³/s)

ET = Evapotranspiration (mm)

ΔS = Change in storage (mm)

First, let's convert the units of the given values,

Precipitation input (P) = 550 mm

Stream discharge (Q) = 1.8 m³/s

Now, let's determine the evapotranspiration (ET) and change in storage (ΔS) terms. However, the problem doesn't provide information about ET, so we cannot calculate it accurately. The problem doesn't provide information about ΔS, so we cannot calculate it accurately.

Given these limitations, we can write the simplified water budget equation for this problem,

550 mm = 1.8 m³/s + ET ± ΔS

Please note that without information about evapotranspiration and changes in storage, we cannot fully determine the water budget for the Creek drainage basin.

To know more about budget equations, visit,

https://brainly.com/question/32563921

#SPJ4

The scatterplot of the globular clusters would appear as a spherical distribution centred at the Milky Way Galaxy's centre.

From the centre of the Milky Way Galaxy, the globular clusters would be distributed evenly around us, creating a spherical shape. The clusters' distance from us would vary, and their positions in the scatterplot would reflect this.

From the centre of the Milky Way Galaxy, we would have a unique perspective on the distribution of globular clusters. Globular clusters are densely packed groups of stars that orbit around the galaxy's centre. These clusters are thought to be some of the oldest structures in the galaxy and can provide insight into the galaxy's early formation.

The scatterplot of the globular clusters would appear as a spherical distribution centred at the Milky Way Galaxy's centre. This shape would result from the clusters' orbital paths around the galaxy's centre, with some clusters closer and others further away. The clusters' distance from us would vary, and their positions in the scatterplot would reflect this.

Observing the globular clusters' scatterplot from the centre of the Milky Way Galaxy would reveal the overall distribution of the clusters and provide insight into the galaxy's structure. Scientists could use this information to better understand the galaxy's history and formation. Additionally, studying the globular clusters could help us learn more about the formation and evolution of stars and galaxies in general.

In conclusion, the scatterplot of the globular clusters observed from the centre of the Milky Way Galaxy would reveal important information about the galaxy's structure and history. This unique perspective could provide insight into the formation and evolution of the Milky Way and help us better understand the universe around us.

To know more about Milky Way Galaxy, visit:

https://brainly.com/question/2905713

#SPJ11

Answer: The deeper you go under the sea, the greater the pressure of the water will be applied on you.

Explanation: This is due to an increase in HYDROSTATIC PRESSURE, the force by area  exerted by liquid on the object.

Answer:

The amplitude is  \(A = 5 \ cm\)

The wavelength is  \(\lambda =30 \ m\)

Explanation:

From the question we see that

  The maximum value is  \(b = 5 \ cm\)

   The minimum value is  \(a = -5 \ cm\)

Generally the amplitude is mathematically represented as

       \(A = \frac{1}{ 2} * [b - a ]\)

=>     \(A = \frac{1}{ 2} * [5 -(- 5) ]\)

=>     \(A = 5 \ cm\)

Gnerally the wavelength is the distance between the to adjacent trough and from the diagram it is  

        \(\lambda =[ 40 + [ \frac{45- 40 }{2} ]] -[ 10 + [\frac{15- 10 }{2} ] ]\)

=>     \(\lambda =30 \ m\)

Newton's third law of motion is well explanation for swimming .

Therefore ,when you swim, the force that propels you ahead is the force you use to push the water back. Force on the water equals the force a swimmer uses to advance. More force applied to water equals more force applied to you. Pushing water causes the swimmer to go ahead, which is an equal and opposite reaction.

To know more about Newton's third law

https://brainly.com/question/14265596

#SPJ1

Answer:

Gpe = 15680 Joules

Explanation:

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

G.P.E = mgh

Where;

G.P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Given the following data;

Mass = 20 kg

Height = 80 m

We know that acceleration due to gravity is equal to 9.8 m/s²

To find the gravitational potential energy;

Gpe = mgh

Gpe = 20 * 80 * 9.8

Gpe = 15680 Joules

An algorithm that calculates the time a train needs to arrive at a destination given speed and distance \(Time=\frac{Distance}{Speed}\).

The amount of the shift in approach per unit of time or the size of the displacement over time for an object can be used to describe speed, which would be a scalar quantity in everyday language and kinematics.

The maximum speed that can be maintained when a period grows closer to zero is the starting speed.

By dividing the object's distance traveled by the duration of the interval, the mean pace of the object for the given period is calculated. Speed and velocity are not always the same thing.

The algorithm to calculate the time required will be,

Let the distance covered by the train is D and the speed of the train be S.

Then, the time taken by the train will be,

T = D/S

Here, D is the distance and S is the speed.

To know more about Speed:

https://brainly.com/question/28224010

#SPJ1

Answer:

58.3333333

miles

Explanation:

Having students run in place at different speeds to illustrate particle movement in states of matter is an example of kinetic theory of matter.Kinetic theory of matter is the explanation of how particles in matter behave.

The kinetic theory explains that particles in matter are always in constant motion. The movement of these particles depends on the temperature and phase of matter.Particles in a solid state move slower than particles in a liquid state. Also, particles in a liquid state move slower than particles in a gaseous state. The faster the particles are moving, the higher the temperature.This means that having students run in place at different speeds to illustrate particle movement in states of matter is an example of kinetic theory of matter.

Learn more about kinetic theory at https://brainly.com/question/15357425

#SPJ11

Answer:

786.2m/s²

Explanation:

Given parameters:

Force  = 114N

Mass  = 0.145kg

Unknown:

Acceleration of the baseball  = ?

Solution:

According to newton's second law of motion, the product of mass and acceleration is the net force on the body;

   Force  = mass x acceleration

Insert the parameters and find the acceleration;

    114  = 0.145 x acceleration

   Acceleration  = \(\frac{114}{0.145}\) = 786.2m/s²

In the balloon simulation, the red circles represent positive charges.

Electrostatics is the branch of physics that studies electric charges at rest. The interaction between electric charges is the foundation for electrostatics. These interactions can either be repulsive or attractive, depending on the types of charges. Electrostatics plays an important role in many aspects of our daily lives.
For example, we use it in the design of electrical circuits, lightning rods, and particle accelerators. The simulation demonstrates the following electrostatic principles: Like charges repel and opposite charges attract.

Each balloon has an equal amount of positive and negative charges when it is neutral.When a balloon is rubbed, electrons are transferred from one surface to the other, creating an imbalance of positive and negative charges.The excess charge is spread over the surface of the balloon. This charge creates an electric field.

As the balloon is rubbed, some of the electrons from the balloon's surface are transferred to the wool. The balloon becomes positively charged while the wool becomes negatively charged. As the balloon is brought closer to the wall, the positive charges on the surface of the balloon repel the positive charges on the surface of the wall.

This repulsion results in the balloons sticking out from the wall, indicating that the charges on the balloon are repelling the charges on the wall.The red circles in the simulation represent the positive charges.

For more such questions on charges visit:

https://brainly.com/question/2373424

#SPJ8

The correct statement about the thermal energy in this scenario is that the second piece is receiving more thermal energy than the first piece.

Thermal energy is a measure of the internal energy of a substance due to the motion and vibration of its particles. The amount of thermal energy in a substance is directly related to the amount of heat it absorbs or receives.

In this case, the first piece is receiving 20 J of energy per minute, while the second piece is receiving 40 J of energy per minute. Since the second piece is receiving a higher amount of energy, it implies that it is gaining more thermal energy compared to the first piece.

Therefore, the second piece has a greater increase in thermal energy per unit time than the first piece.

Learn more about thermal energy and heat transfer here:

brainly.com/question/29760634

#SPJ11.

We have that the time, to the nearest minute, when the water level is at 1.125 m for the second time after midnight is

\(t=10.0hours\)

From the Question we are told that

Maximum height \(h_{max}=3m\)

Minimum height  \(H_{min}=0.5m\)

Time for  next high tide will occur\(T=12 hours =>720 min\)

Generally Average Height

\(h_{avg}=\frac{3+0.5}{2}\\\\h_{avg}=1.75\)

Therefore determine Amplitude to be

\(A=h_{max}=j_{avg}\\\\A=3-1.75\\\\A=1.25\)

Generally, the equation for Time is mathematically given by

At t=0

\(h(x)=Acos(Bx)+h_{avg}\)

Where

\(B=\frac{2\pi}{P}\\\\B=\frac{2\pi}{720}\\\\B=8.73*10^{-3}\)

Therefore

\(h(t)=Acos8.73*10^{-3}(t)+h_{avg}\)

Hence the Time at \(T=1.125\) is

\(1.125(t)=1.25cos(8.73*10^{-3})(t)+1.75\)

\(-0.1249t=1.75\)

\(t=10.0hours\)

For more information on this visit

https://brainly.com/question/22361343

Answer:

hi

Here are the answers you need

a. Romi's speed = slope of graph = 1000/15 - 0 = 66m/min

b. for 10 minute

c. I do not know the answer for this question, please forgive me

d.at 1000m from home they meet

I hope this helps you.

May god bless you and if you like this answer and think it helped you very much please mark me as brainliest because that will help me very much.

The new velocity of the 0.18 kg ball, given that it's initial velocity was 0.39 m/s is 0.37 m/s

The following data were obtained from the question:

The new velocity of the first ball (0.18 Kg) can be obtained as follow:

Momentum before = Momentum after

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(0.18 × 0.39) + (0.016 × 0.05) = (0.18 × v₁) + (0.016 × 0.26)

0.0702 + 0.0008 = 0.18v₁ + 0.00416

Collect like terms

0.18v₁ = 0.0702 + 0.0008 - 0.00416

0.18v₁ = 0.06684

Divide both sides by 0.18

v₁ = 0.06684 / 0.18

v₁ = 0.37 m/s

Thus, the new velocity of the 0.18 Kg ball is 0.37 m/s

Learn more about velocity after collison:

https://brainly.com/question/28151651

#SPJ1

The force vector f = (195i + 90j - 170k) n can be broken down into three components: one along the x-axis, one along the y-axis, and one along the z-axis.

To find the angle made by f with the positive x-axis, we need to calculate the angle between f and the unit vector along the x-axis, which is i. We can use the dot product formula to find this angle:
cos(theta_x) = (f · i) / (|f| |i|)
Here, f · i represents the dot product of f and i, and |f| and |i| represent the magnitudes of f and i respectively.
By substituting the given values, we can calculate the angle:
cos(theta_x) = (195 * 1 + 90 * 0 + -170 * 0) / (sqrt(195^2 + 90^2 + (-170)^2) * 1)
cos(theta_x) = 195 / sqrt(59105)
Using the inverse cosine function, we can find the value of theta_x.
Similarly, we can find the angles made by f with the positive y- and z-axes using the dot product formula and the corresponding unit vectors.
By using the dot product formula and unit vectors, we can calculate the angles made by the force vector f with the positive x-, y-, and z-axes.

To know more about dot product formula, visit:

https://brainly.com/question/33480481

#SPJ11

The astronomical event corresponds to the passage of 1 year is the Earth making one revolution about the Sun.

"Astronomical events" refers to occurrences that astronomy examines, such as eclipses or novae, whereas astronomy events refers to meetings, conferences, and other significant astronomy-related events.

In conclusion, The earth revolves the sun in one year

Read more about Enviroment

https://brainly.com/question/17413226

Answer:bight

Explanation:

Answer:

B. It is too slow to observe directly

Explanation:

They move too slow to be able to observe how they move.

I hope it helps! Have a great day!
bren~

Answer:

B. It is too slow to observe directly

Explanation:

They move slowly so they would have to use a model to see how they would move since in real life they move extremely slowly.

I hope it helps! Have a great day!

bren~

Answer:

1 deg C = 5/9 deg F         (Ex. 212 F - 32) * 5/9 = 100

So deg F = 9/5 deg C = 9/5 * 2.9 = 5.2 deg F