The 0.100 kg sphere in (Figure 1) is released from rest at the position shown in the sketch, with its center 0.400 m from the center of the 5.00 kg mass. Assume that the only forces on the 0.100 kg sphere are the gravitational forces exerted by the other two spheres and that the 5.00 kg and 10.0 kg spheres are held in place at their initial positions.

Answers

Answer 1

Answer:

the speed of 0.10 sphere when it is moved to 0.20 kg  to the left is :   [tex]3.3337*10^{-5} \ m/s[/tex]

Explanation:

Using the expression of the Change in  Gravitational Potential Energy:

[tex]U= -(\frac{ Gm_1m_2 }{r_2} - \frac{ Gm_1m_2 }{r_1}) \\ \\ U=Gm_1m_2 (\frac{ 1 }{r_2} - \frac{ 1 }{r_1})[/tex]

So when the sphere exerts just 10 kg mass; the change in the gravitational potential energy is :

[tex]U_1=Gm_1m_2 (\frac{ 1 }{r_2} - \frac{ 1 }{r_1})[/tex]

[tex]U_1=6.67*10^{-11}*0.1 \ kg*10 \ kg(\frac{ 1 }{0.6 \ m} - \frac{ 1 }{0.8 \ m})[/tex]

[tex]U_1 = 2.778*10^{-11} J[/tex]

the change in the gravitational potential energy  when the sphere exerts just 5 kg mass is ;

[tex]U_2=Gm_1m_2 (\frac{ 1 }{r_2} - \frac{ 1 }{r_1})[/tex]

[tex]U_2=6.67*10^{-11}*0.1 \ kg*5 \ kg(\frac{ 1 }{0.4 \ m} - \frac{ 1 }{0.2 \ m})[/tex]

[tex]U_2 = -8.335*10^{-11} J[/tex]

The net total change is:

[tex]U_{total } = U_1 +U_2[/tex]

[tex]U_{total} = 2.778*10^{-11} + (-8.335*10^{-11})[/tex]

[tex]U_{total} = -5.557*10^{-11}[/tex]

We all know that for there to be a balance ;loss of gravitational potential energy must be equal to the gain in kinetic energy .

SO;

K.E =  [tex]5.557*10^{-11}[/tex]

[tex]\frac{1}{2}mv^2 = 5.557*10^{-11}[/tex]

[tex]v^2 = \frac{2*5.557*10^{-11} \ J}{m_1}[/tex]

[tex]v=\sqrt{ \frac{2*5.557*10^{-11} \ J}{0. 1 \kg}[/tex]

v = [tex]3.3337*10^{-5} \ m/s[/tex]

Thus, the speed of 0.10 sphere when it is moved to 0.20 kg  to the left is :   [tex]3.3337*10^{-5} \ m/s[/tex]

Answer 2

The speed of 0.10 sphere when it is moved to 0.20 kg  to the left is :3.3337 *10^-5 m/s

What is speed ?

The speed of any object is defined as the movement of any object with respect to the time.

By using the expression of the Change in  Gravitational Potential Energy:

[tex]U=-Gm_1m_2(\dfrac{1}{r_2}-\dfrac{1}{r_1})[/tex][tex]U_2=-Gm_1m_2(\dfrac{1}{r_2}-\dfrac{1}{r_1})[/tex]

So when the sphere exerts just 10 kg mass; the change in the gravitational potential energy is :

[tex]U_1=-Gm_1m_2(\dfrac{1}{r_2}-\dfrac{1}{r_1})[/tex]

[tex]U_1=- 6.67\times 10^{-11}\times 0.1\times 10(\dfrac{1}{0.6}-\dfrac{1}{0.8})[/tex]

[tex]U_1=2.778\times 10^{-11][/tex]

The change in the gravitational potential energy  when the sphere exerts just 5 kg mass is ;

[tex]U_2=-Gm_1m_2(\dfrac{1}{r_2}-\dfrac{1}{r_1})[/tex]

[tex]U_2=- 6.67\times 10^{-11}\times 0.1\times 5(\dfrac{1}{0.4}-\dfrac{1}{0.2})[/tex]

[tex]U_2=-8.335\times 10^{-11}\ J[/tex]

The net total change is:

[tex]U_{total}=U_1+U_2[/tex]

[tex]U_{total}=2.778\times 10^{-11}+(-8.335\times 10^{-11})[/tex]

[tex]U_{tot\leq al}=-5.557\times 10^{-11}[/tex]

We all know that for there to be a balance ;loss of gravitational potential energy must be equal to the gain in kinetic energy .

SO;

[tex]\rm KE=5.557\times 10^{-11}[/tex]

[tex]\dfrac{1}{2}mv^2=5.557\times 10^{-11}[/tex]

[tex]v^2=\dfrac{2\times 5.557\times 10^{-11}}{m}[/tex]

[tex]v=\sqrt{\dfrac{2\times 5.557\times 10^{-11}}{m}}[/tex]

[tex]v=3.337\times 10^{-5}\ \frac{m}{s}[/tex]

Thus, the speed of 0.10 sphere when it is moved to 0.20 kg  to the left is : [tex]v=3.337\times 10^{-5}\ \frac{m}{s}[/tex]

To know more about speed follow

https://brainly.com/question/4931057


Related Questions

A child in an inner tube is bobbing up and down in the ocean and notices that after a wave crest passes, four more crests pass in a time of 38.4 s and the distance between the crests is 32 m. If possible, determine the following properties for the wave. (If not possible, enter IMPOSSIBLE.)(a) Period (s)(b) Frequency (Hz)(c) Wavelength (m)(d) Speed ( m/s)(e) Amplitude (m)

Answers

Answer:

Explanation:

Given:

Four more crests pass in a time of 38.4 s and the distance between the crests is 32 m.

We have to determine five terms.

Lets start with one-one basis.

a.  

Period = Time taken by a wave to pass though.

⇒  [tex]P = \frac{Total\ time}{No.\ of\ waves}[/tex]

⇒ [tex]P = \frac{38.4}{4}[/tex]

⇒ [tex]P=9.6 s[/tex]

b.  

Frequency = Reciprocal of time period in Hertz.

⇒ [tex]f=\frac{1}{T}[/tex]

⇒[tex]f=\frac{1}{9.6}[/tex]

⇒ [tex]f=0.104 Hertz[/tex]

c)

Wavelength = Distance between two consecutive trough and crest.

⇒ [tex]\lambda = 32 m[/tex]

d.

Speed (v) = Product of frequency and wavelength.

⇒ [tex]v=f\times \lambda[/tex]

⇒ [tex]v=0.104\times 32[/tex]

⇒[tex]v = 3.33 ms^-1[/tex]

e)

Amplitude = The maximum displacement or half the distance from crest to trough.

⇒ Here it can't be determined.

⇒ Impossible.

A manufacturing firm has hired your company, Acoustical Consulting, to help with a problem. Their employees are complaining about the annoying hum from a piece of machinery. Using a frequency meter, you quickly determine that the machine emits a rather loud sound at 1100 Hz. After investigating, you tell the owner that you cannot solve the problem entirely, but you can at least improve the situation by eliminating reflections of this sound from the walls. You propose to do this by installing mesh screens in front of the walls. A portion of the sound will reflect from the mesh; the rest will pass through the mesh and reflect from the wall.How far should the mesh be placed in front of the wall for this scheme to work?

Answers

Answer: 7.7cm

Explanation:

If i want to set up destructive interference, meaning that the reflection will be half (½) of the wavelength out of phase, or the distance is ¼ of a wavelength.

v.s = Speed of sound = 340 m/s ( some books may use 343 m/s, this change varies due to change in temperature and humidity.)

f = 1100 hz

λ = v.s / f

λ = 340 m/s / 1400 Hz

λ = .3091 m

Recall that the distance is ¼ of the wavelength,

.3091/4 = 0.0773 m

Distance used would be = 7.7 cm

The minute hand on a watch is 2.00 cm cm in length. What is the displacement vector of the tip of the minute hand Part A From 8:00 to 8:20 a.m.? Express vector Δ r ⃗ Δr→ in the form Δ r x ΔrxDeltar_x , Δ r y ΔryDeltar_y , where the x and y components are separated by a comma. Δ r ⃗ Δr→ = nothing cm SubmitRequest Answer Part B From 8:00 to 9:00 a.m.? Express vector Δ r ⃗ Δr→ in the form Δ r x ΔrxDeltar_x , Δ r y ΔryDeltar_y , where the x and y components are separated by a comma.

Answers

Answer:

Check the explanation

Explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

A uniform rod of length l and mass m rests on supports at its ends. The right support (white triangle) is quickly removed. a) What is the force from the left support immediately thereafter? A uniform rod of length 2r and moment of inertia rests on top of two supports, each of which is a distance d away from the center where is a constant. The right support (white triangle) is quickly removed. b) What is the force from the left support immediately thereafter?

Answers

Answer:

Explanation:

For solving this question we will be using Newton's second law of motion in 2 different formats.

F = ma and   [tex]\tau = I\alpha[/tex]

Here F = net external force applied on the body

m = mass of the body

a = acceleration of the centre of mass of the body

[tex]\tau[/tex] = net external torque on the body

I = moment of inertia of the body about given axis

[tex]\alpha[/tex] = angular acceleration of the body

These are 2 forms of Newton's second law of motion first one is from transnational motion and second for rotational motion.

Kindly check the attached images below to see further step by step explanation to the question above.

the difference between how lenses and mirrors interact with light

Answers

Answer:

Light when strikes mirror, it bounces off where as it transmits through a lens. A mirror is glass with lustrous metal coated at its back. Light reflects off a mirror and image is formed behind it.

Explanation:

A painter on a ladder, painting the ceiling of a room comments. “It is hotter up here by the ceiling than it is down on the floor”. Explain why his observation is correct.

Answers

Answer:

1. Hot air is less dense and has moved upward allowing cool air to move downward which is less dens

(Convection current)

2. The ceiling has transferred heat to him by radiation.

Explanation:

During the day when air is heated as a result of the ceiling transferring heat to it, it becomes less dens and it gains energy, which make it lighter in weight than cooler air, this hot air moves upward allowing cooler air to move downward.

Although electromagnetic waves can always be represented as either photons or waves, in the radio part of the spectrum we typically do not discuss photons (like we do in the visible) because they are at such a low energy. Nevertheless, they exist. Consider such a photon in a radio wave from an AM station has a 1545 kHz broadcast frequency.

Required:
What is the energy, in joules, of the photon?

Answers

Answer:

E = 1.02 x 10⁻²⁷ J

Explanation:

The energy of a photon is given by the Plank's formula. The formula is given as:

E = hυ

where,

E = Energy of Photon = ?

h = Plank's Constant = 6.626 x 10⁻³⁴ J.s

υ = Frequency of the Wave = 1545 KHz = 1545000 Hz

Therefore, we can find the energy of photon in the given radio wave from an AM station, by substituting the known values in Plank's formula.

E = (6.626 x 10⁻³⁴ J.s)(1545000 Hz)

E = 1.02 x 10⁻²⁷ J

The energy of a photon, in a radio wave from an AM station has a 1545 kHz broadcast frequency, is found to be E = 1.02 x 10⁻²⁷ J

The energy , in joules, of the photon should be considered as the E = 1.02 x 10⁻²⁷ J.

Plank formula:

The energy of a photon should be like

E = hυ

where,

E = Energy of Photon = ?

h = Plank's Constant = 6.626 x 10⁻³⁴ J.s

υ = Frequency of the Wave = 1545 KHz = 1545000 Hz

Now

E = (6.626 x 10⁻³⁴ J.s)(1545000 Hz)

E = 1.02 x 10⁻²⁷ J

hence, The energy , in joules, of the photon should be considered as the E = 1.02 x 10⁻²⁷ J.

Learn more about an energy here: https://brainly.com/question/18543129

Josh calculated that the speed of his balloon travelling a distance of 10m was 2m/s. What was the length of time?

Answers

Josh was riding for 5 seconds on the dot
It took the baloon 5 seconds to travel 10m

A motorcycle has a speed of 30 m / s. After braking, it decelerates with constant deceleration A = -3.0 m / s ^ 2

Calculates its speed after 3.0 s

Answers

[tex]a = \displaystyle\frac{v-u}{t}[/tex]

[tex]-3 = \displaystyle\frac{v - 30}{3}[/tex]

[tex]v -30 = -9[/tex]

[tex] v = 21 m/s[/tex]

Answer:21

Explanation:

Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see figure below). One such pendulum is constructed with a string of length
L =10.7 cm and bob of mass 0.344 kg. The string makes an angle = 5.58° with the vertical.

(a) What is the radial acceleration of the bob?
magnitude


(b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the
positive y axis. Express your answer in vector form.)
T= N

Answers

Answer:

a

The  radial acceleration is  [tex]a_c = 0.9574 m/s^2[/tex]

b

The horizontal Tension is  [tex]T_x = 0.3294 i \ N[/tex]

The vertical Tension is  [tex]T_y =3.3712 j \ N[/tex]

Explanation:

The diagram illustrating this is shown on the first uploaded

From the question we are told that

   The length of the string is  [tex]L = 10.7 \ cm = 0.107 \ m[/tex]

     The mass of the bob is  [tex]m = 0.344 \ kg[/tex]

     The angle made  by the string is  [tex]\theta = 5.58^o[/tex]

The centripetal force acting on the bob is mathematically represented as

         [tex]F = \frac{mv^2}{r}[/tex]

Now From the diagram we see that this force is equivalent to

     [tex]F = Tsin \theta[/tex] where T is the tension on the rope  and v is the linear velocity  

     So

          [tex]Tsin \theta = \frac{mv^2}{r}[/tex]

Now the downward normal force acting on the bob is  mathematically represented as

          [tex]Tcos \theta = mg[/tex]

So

       [tex]\frac{Tsin \ttheta }{Tcos \theta } = \frac{\frac{mv^2}{r} }{mg}[/tex]

=>    [tex]tan \theta = \frac{v^2}{rg}[/tex]

=>   [tex]g tan \theta = \frac{v^2}{r}[/tex]

The centripetal acceleration which the same as the radial acceleration  of the bob is mathematically represented as

      [tex]a_c = \frac{v^2}{r}[/tex]

=>  [tex]a_c = gtan \theta[/tex]

substituting values

     [tex]a_c = 9.8 * tan (5.58)[/tex]

     [tex]a_c = 0.9574 m/s^2[/tex]

The horizontal component is mathematically represented as

     [tex]T_x = Tsin \theta = ma_c[/tex]

substituting value

   [tex]T_x = 0.344 * 0.9574[/tex]

    [tex]T_x = 0.3294 \ N[/tex]

The vertical component of  tension is  

    [tex]T_y = T \ cos \theta = mg[/tex]

substituting value

     [tex]T_ y = 0.344 * 9.8[/tex]

      [tex]T_ y = 3.2712 \ N[/tex]

The vector representation of the T in term is of the tension on the horizontal and the tension on the vertical is  

         

       [tex]T = T_x i + T_y j[/tex]

substituting value  

      [tex]T = [(0.3294) i + (3.3712)j ] \ N[/tex]

         

The radical acceleration of the bob is 0.9575 m/s². The horizontal and vertical components of the tension force exerted by the string on the bob are 0.329 N and 3.37 N respectively.

Taking the vertical component of the tension where the weight mass is balanced, then:

T sin θ = mg

[tex]\mathbf{T = \dfrac{mg}{sin \theta}}[/tex]

However, the centripetal force of the system is given by the horizontal component of the tension which can be expressed as:

T cos θ = m[tex]\mathbf{a_r}[/tex]

Making [tex]\mathbf{a_r}[/tex] the subject, we have:

[tex]\mathbf{a_r = \dfrac{Tcos \theta }{m}}[/tex]

replacing the value of tension (T), we have:

[tex]\mathbf{a_r = \dfrac{ \dfrac{mg}{sin \theta}cos \theta }{m}}[/tex]

[tex]\mathbf{a_r=g tan \theta}[/tex]

where;

angle  θ = 5.58°

[tex]\mathbf{a_r=9.8 m/s^2 \times tan 5.58}[/tex]

[tex]\mathbf{a_r=9.8 m/s^2 \times 0.0977}[/tex]

[tex]\mathbf{a_r=0.9575 \ m/s^2}[/tex]

Thus, the radical acceleration of the bob is 0.9577 m/s²

On the positive x-axis, the horizontal component of the tension force is:

[tex]\mathbf{T_x =Tcos \theta}[/tex]

[tex]\mathbf{T_x =ma_r}[/tex]

[tex]\mathbf{T_x =0.344 \ kg \times 0.9575 \ m/s^2}[/tex]

[tex]\mathbf{T_x =0.329 \ N}[/tex]

On the positive y-axis, the vertical component of the tension force is:

[tex]\mathbf{T_y =Tsin \theta}[/tex]

[tex]\mathbf{T_y =mg}[/tex]

[tex]\mathbf{T_y=0.344 \ kg \times 9.8 \ m/s^2}[/tex]

[tex]\mathbf{T_x =3.37 \ N}[/tex]

Learn more about simple pendulum here:

https://brainly.com/question/12886217?referrer=searchResults

A car goes by 20 m/sec for 3 minutes. Find traveled distance?

Answers

60 miles

explanation: 20•3=60

hope this helps
60 miles

20*3=60 miles

Two astronauts of equal mass are holding on to each other and moving at a speed of 30 m/s. They push off of each other and one of the astronauts moves in the same direction as the two were initially moving but at 60 m/s. The velocity of the second astronaut is

Answers

Answer:

Zero

Explanation:

A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 120 seconds. How much power was used?

Answers

Answer:

25 watts

Explanation:

Power=work/time

work=force x distance

1000 × 3

=3000 Joules

power= 3000/120

=25 watts

If A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 120 seconds. Then the power used is equal to 25 watts.

What is power?

Power is the rate at which work is done or energy is transferred. It is a physical quantity that measures how quickly energy is used or transformed.

P=W/s

Where W= work done in joules.

s= time in seconds.

Power is typically measured in watts (W), which is equivalent to joules per second (J/s). In simple terms, power can be defined as the amount of work done or energy transferred per unit of time.

Here in the question,

To calculate the power used to lift the piano, we need to use the formula:

Power = Work / Time

The work done in lifting the piano is given by:

Work = Force x Distance

Where

Force = the weight of the piano, which is 1,000 newtons,

Distance = the height to which it is lifted, which is 3 meters.

Then, the work done is:

Work = 1,000 N x 3 m = 3,000 joules

The time taken to lift the piano is 120 seconds.

Now we can substitute these values in the formula for power:

Power = Work / Time

Power = 3,000 joules / 120 seconds

Power = 25 watts

Therefore, the power used to lift the piano is 25 watts.

To learn more about Work done click:

https://brainly.com/question/28172139

#SPJ3

The surface tension of water was determuned in a laboratory by using the drop weight method. 100 drops were released from a burette the inner diameter of whose opening is 1.8mm. The mass of the droplets was 3.78g dertermine the surface tension of the water and comparing it with the tabulatef value

Answers

Answer:

The surface tension of the water is 6.278×10⁻² N/m

error = 13.65%

Explanation:

The surface tension of water is given by

[tex]$ \gamma = \frac{F}{L} $[/tex]

Where F is the force acting on water and L is the length over which is force is acted.

We are given the mass of 100 droplets of water

M = 3.78 g

n = 100

The mass of 1 droplet is given by

[tex]m = \frac{M}{n} \\\\m = \frac{3.78}{100}\\\\m = 0.0378 \: g \\\\m = 3.780\times10^{-5} \: kg[/tex]

The force acting on a single droplet of water is given by

[tex]F = m \cdot g[/tex]

Where m is the mass of water droplet and g is the acceleration due to gravity

[tex]F = 3.780\times10^{-5} \cdot 9.81[/tex]

[tex]F = 3.708\times10^{-4} \: N[/tex]

The circumferential length of the droplet is given by

[tex]L = \pi \cdot d[/tex]

Where d is the diameter

[tex]L = \pi \cdot 1.88\times10^{-3}\\\\L = 5.906 \times10^{-3} \: m[/tex]

Now we can find out the required surface tension of the water

[tex]\gamma = \frac{3.708\times10^{-4} }{5.906 \times10^{-3}} \\\\\gamma = 0.06278\: N/m\\\\\gamma = 6.278 \times10^{-2} \: N/m\\\\[/tex]

Therefore, the surface tension of the water is 6.278×10⁻² N/m

The tabulated value of the surface tension of water at 20 °C is given by

[tex]$ \gamma_t = 0.0727 \: N/m $[/tex]

The percentage error between tabulated and calculated surface tension is given by

[tex]$ error = \frac{\gamma_t - \gamma }{\gamma_t} $[/tex]

[tex]$ error = \frac{ 0.0727 - 0.06278}{0.0727} \times 100\% $[/tex]

[tex]$ error = 13.65 \%[/tex]

a student constructed a simple electric circuit where two light bulbs were connected in parallel. The circuit power source was a 6.0-V cell. One of the light bulbs had a resistance of 25 ohms, and the other had a resistance of 50 ohms. What was the combined resistance of the light bulbs in the circuit?

a) 75ohms

b) 42ohms

c) 25ohms

d) 17ohms

Answers

Answer:

RT =  17 ohms

Explanation:

For two parallel resistances in a circuit the combined resistance is given by:

[tex]\frac{1}{R_T}=\frac{1}{R_1}+\frac{1}{R_2}\\\\\frac{1}{R_T}=\frac{R_2+R_1}{R_1R_2}\\\\R_T=\frac{R_1R_2}{R_1+R_2}[/tex]

R1 = 25 ohms

R2 = 50 ohms

You replace the values of R1 and R2 in the formula for RT:

[tex]R_T=\frac{(25)(50)}{25+50}ohms=16.66\ ohms \approx 17\ ohms[/tex]

hence, the combined resitances is 17 ohms

A Chinook salmon can jump out of water with a speed of 6.50 m/s . How far horizontally can a Chinook salmon travel through the air if it leaves the water with an initial angle of =30.0° with respect to the horizontal? (Let the horizontal direction the fish travels be in the + direction, and let the upward vertical direction be the + direction. Neglect any effects due to air resistance.)

Answers

Answer:

3.73m

Explanation:

What we are asked to find is the range covered by the fish. This is given by the following equation (1). Range can simply be defined as the horizontal distance covered by a body whose motion freely under gravity is in two dimensions. The motion of the fish is in two dimensions, the vertical dimension and the horizontal dimension.

[tex]R=\frac{u^2sin2\theta}{g}.........(1)[/tex]

where u = 6.5m/s is the initial velocity, g is acceleration due to gravity which is taken as [tex]9.8m/s^2[/tex] and [tex]\theta=30.0^o[/tex].

Substituting these values into equation (1), we obtain the following;

[tex]R=\frac{6.5^2sin2(3)}{9.8}\\R=\frac{42.25sin60}{9.8}\\\\R=\frac{36.59}{9.8}\\R=3.73m[/tex]

The range should be 3.73m.

Important information:

A Chinook salmon can jump out of water with a speed of 6.50 m/s . The initial angle of =30.0°

The range refers to the horizontal distance i.e. covered by a body whose motion freely under gravity should be in two dimensions. It can be the vertical dimension and the horizontal dimension.

calculation of the range:

[tex]= 6.5sin^2\div 9.8\\\\= 36.59 \div 9.8[/tex]

= 3.73m

learn more about the direction here: https://brainly.com/question/20827436

Use the graph to answer the questions.


Based on the graph, what happens to current as resistance increases?


This type of graph shows which type of relationship between the two variables?


What would be a reasonable estimate for current at a resistance of 50 Ω?

Answers

Answer:

1) Decreases

2) Inverse Proportionality

3) 1 A

Explanation: Just Did Em'

Answer:

Decreases

 Inverse Proportionality

 1 A

Explanation:

correct on quiz EDGE2021

A 50-kilogram object in outer space is attracted to a nearby planet with a
force of 400 newtons. What is the object's acceleration? *

Answers

Answer: 8m/s^2

Explanation:

By Newton's second law we have that.

F = m*a

Where F is force, m is mass and a is acceleration.

We know that m = 50kg and F = 400N

400N = 50kg*a

a = (400/50) m/s^2 = 8m/s^2

21. If € = 8.0 V, at what rate is the emf providing energy to the circuit shown?
15 2
10 22
12 V
+
1022.
a. 8.4 W
b. 7.6 W
C.5.6 W
d. 11 W
e. 2.0 W

Answers

Answer:

  c.  5.6 W

Explanation:

We can write the Kirchoff's voltage law (KVL) equations for the circuit using i1 for the clockwise current in the left loop, and i2 for the clockwise current in the right loop. Then the circuit equations are ...

  i1 (10 +10) -i2(10) = 12

  -i1(10) +i2(10 +15) = 8

Using Cramer's rule to find i2, we have ...

  i2 = (12(-10) -8(20))/((-10)(-10) -(25)(20)) = -280/-400 = 0.7

The power supplied by the Emf is ...

  (8 V)(0.7 A) = 5.6 W . . . . . matches choice C

When an object is placed within the focal length of a convex lens, the image appears on the same side as the object itself. This situation is shown below. In this situation, which of the following statements is true?

Answers

Answer:

the image formed is virtual, this means that it is the prolongations of the rays that form the image. It is straight and magnified by the quantity

Explanation:

In a lens there is a relationship between the focal length, the distance to the object and to the image given by the constructor equation

          1 / f = 1 / o + 1 / i

where is the focal length, or and i are the distance to the object and the image respectively.

In the case presented, the object is within the focal length, so the image formed is virtual, this means that it is the prolongations of the rays that form the image. It is straight and magnified by the quantity

         m = - i / o

Answer:A

Explanation:Got it right :)

resonance occurs in an AC series circuit when which of the following condition is met ?
A,Resistant equal compactive resistance
B, comparative resistance equal zero​
C, resistance equals inductive resistance

Answers

Answer:

capacitive reactance equals inductive reactance

a) Fill in the blanks in the following paragraph to correctly describe the nucleus of an atom.
_______ and _________ are the two types of nucleons that make up a nucleus. The __________ force exists between _________ in the nucleus because of their charge. Because it is repulsive, this force tends to make a nucleus __________. However, the __________ force acts between protons, between neutrons, and between protons and neutrons. This force helps to make a nucleus __________, because it is always attractive.

Answers

Answer:

Protons and Neutrons are the two types of nucleons that make up a nucleus. The electrostatic force exists between protons in the nucleus because of their charge. Because it is repulsive, this force tends to make a nucleus unstable. However, the strong nuclear force acts between protons, between neutrons, and between protons and neutrons. This force helps to make a nucleus stable, because it is always attractive.

Explanation:

The nucleus of an atom contains two types of particles, protons and neutrons. Proton has a positive charge, while neutron has no charge. The protons have a repulsive electrostatic force between each other, due to like charges. Due to this repulsive force protons tend to scatter away making the nucleus unstable. In order to overcome this, a force inside the nucleus binds these protons and neutrons together. This attractive force is called strong nuclear force. This force acts on very short ranges.

An atom is made up of nucleus and electrons orbitting the nucleus. The correct words are proton, neutron, electrostatic force, protons, unstable, nuclear, stable respectively.

Nucleus:

It is composed of Protons and Neutrons. Protons are potsitively charged , hence repulse each other which makes the nucleus unstable.

Nucleons held together by Strong nucleur force because it is the strongest force of universe.

To know more about  Strong nucleur force

https://brainly.com/question/11254569

A periodic wave travels from one medium to another. Which pair of variables are likely to change in the process? A. velocity and wavelength B. velocity and frequency C. frequency and wavelength D. frequency and phase E. wavelength and phase

Answers

Answer:

A. velocity and wavelength

Explanation:

When a wave travels from one medium to another it undergoes refraction which results to the change in direction.

Refraction of a wave is one of the property of waves that occurs when a wave changes direction when it passes from one medium to another. This occurs as a result of bending of the wave which occurs since the mediums involved are of different density and refractive index.

Apart from the change in direction, refraction is accompanied by the change in wavelength of a wave and thus a change in speed.

Answer:

A. velocity and wavelength

Explanation:

Whenever using a microscope slide, you should always:
A.
check for cracks or chips in the glass.
B.
make sure it is clean.
C.
handle it with care.
D.
all of these

Answers

All of the above is the answer

Answer:

D.

all of these.......

For each of the situations described below, the object considered is undergoing some changes. Among the possible changes you should consider are:
(Q) The object is absorbing or giving off heat.
(T) The object's temperature is changing.
(U) The object's internal energy is changing.
(W) The object is doing mechanical work or having work done on it.
(C) The objects chemical energy is changing.
For each of the situations described below, identify which of the four changes are taking place and write as many of the letters Q T U W C (or none) as are appropriate.
1. A cylinder with a piston on top contains a compressed gas and is sitting on a thermal reservoir (a large iron block). After everything has come to thermal equilibrium, the piston is moved upward somewhat (very slowly). The object to be considered is the gas in the cylinder.
Q T U W C
2. Consider the same cylinder as in part 1, but it is wrapped in styrofoam, a very good thermal insulator instead of sitting on a heat reservoir. The piston is pressed downward (again, very slowly), compressing the gas. The object to be considered is the gas in the cylinder.
Q T U W C
3. An ice cube sitting in the open air is melting.
Q T U W C
4. A mixture of two moles of hydrogen gas and one mole of oxygen gas in a thermally insulated vessel is subjected to small spark (contributing negligible energy) and converts to water vapor.
Q T U W C
Explain your reasoning for each of these cases.

Answers

Answer:

1.) Q T U W 

Explanation:

1.) QTUW

2.) UW

3.) QU

4.) QTUC

According to first law of thermodynamics

dU = Q - W

Where

dU = change in internal energy

Q = heat added

W = work done by the system

2.) UW

Work is been done on the system. The pressure will surely distort the internal energy of the system

Pressure = Force/area.

3.) QU

The melting process begins because the air temperature around the ice cubes is warmer

The solid ice particles absorb heat energy from the warmer air, giving the particles energy and enabling them to move away from one another.

4.) Chemical reaction can be exothermic or endothermic which involves absorption or release of heat. Since it is subjected to small spark, there is definitely a change in internal energy.

In this exercise we have to have knowledge about thermodynamics in order to identify the alternatives that are correctly classified, so we can say that:

1.) QTUW

2.) UW

3.) QU

4.) QTUC

According to first law of thermodynamics:

[tex]dU = Q - W[/tex]

Where:

dU = change in internal energyQ = heat addedW = work done by the system

1.) The first alternative corresponds to:

The object is absorbing or giving off heat.The object's temperature is changing.The object's internal energy is changing.The object is doing mechanical work or having work done on it.

In other words QTUW.

2.) The second alternative corresponds to:

The object's internal energy is changing.The object is doing mechanical work or having work done on it.

Work happen been finished ahead of the system. The pressure will without doubt deform the internal strength of bureaucracy:

[tex]Pressure = Force/area[/tex]

In other words UW.

3.) The third alternative corresponds to:

The object is absorbing or giving off heat.The object's internal energy is changing.

The softening process begins cause the air coldness of some degree around the frozen water cubes happen warmer The complete frozen water particles take in heat strength from the warmer air, bestowing the piece energy and allowing to happen them to move out each one.

In other words QU.

4.) The fourth alternative corresponds to:

The object is absorbing or giving off heat.The object's temperature is changing.The object's internal energy is changing.The objects chemical energy is changing.

Chemical reaction maybe exothermic or endothermic that involves assimilation or release of heat. Since it happen commit small spark, skilled happen certainly a change in within strength.

In other words QTUC

See more about thermodynamics at brainly.com/question/7206767

what did the biologist wear on his first date ?​

Answers

Answer:

Calvin Cycles

Explanation:

This is a popular joke. Is this an answer choice for your question?

Un atleta de 70 kg de masa que ha efectuado un salto de altura cae una vez que ha

sobrepasado el listón, identifica y dibuja las fuerzas que actúan sobre el atleta cuando:

a)En el momento que está impulsándose en el suelo.

b)Va cayendo. ¿Qué tipo de movimiento tiene en este caso?

c)Al chocar con la colchoneta.

Answers

Answer:

a) the elastic force of the pole directed upwards and the force of gravity with dissects downwards

Explanation:

The forces on the athlete are

a) at this moment the athlete presses the garrolla against the floor, therefore it acquires a lot of elastic energy, which is absorbed by the athlete to rise and gain potential energy,

therefore the forces are the elastic force of the pole directed upwards and the force of gravity with dissects downwards

b) when it falls, in this case the only force to act is batrachium by the planet, this is a projectile movement for very high angles

c) When it reaches the floor, it receives an impulse that opposes the movement created by the mat. The attractive force is the attraction of gravity.

ASAP answer right and I will do a giveaway

Answers

Explanation:

Ans 1 ) As the gravity of a planet increases, there will be increase in thickness of atmosphere around that planet. The gravitational force of the planets holds the bulks of molecules of atmosphere (as gas will need higher escape velocity).

Ans 2) Mars is the easier planets among all other planets in our solar system as it lies in habitable zone and it as a moderate gravity (where live can survive). Well, there's lot of resources too.

Thanks for asking

Answer:

ghujg

Explanation:

A parallel plate capacitor is attached to a battery which stores 3 C of charge. A dielectricmaterial is inserted to fill the gap. There is now 9 C of charge stored.1. What is the dielectric constant of the material?2. As a fraction of the original how much energy is stored in the capacitor after thedielectric is inserted?3. If we pull the dielectric half way out how much charge is stored on the capacitor?Hint:we could imagine our capacitor now as 2 in parallel, each with half the area and onewith the dielectric.

Answers

Answer:

A) 3

B) fraction is 2/1 = 2

C) 3 C

Explanation:

Initial capacitance with air U is 3 C

Final charge with dielectric Ud material is 9 C

Dielectric constant = capacitance with dielectric/capacitance with air

= 9/3 = 3

Since it is connected to a battery, the potential difference at the plate will be constant.

P.d = V

Also energy stored in a capacitor is given as 0.5CV^2

For capacitance with air, energy is 0.5 x 3 x V^2 = 9V^2

For capacitance with dielectric, energy is 0.5 x 9 x V^2 = 18V^2

Fraction of energy stored in capacitance with dielectric to that with air is 18V^2/9V^2 = 2

From C = eA/d

Where C is the capacitance,

e is the dielectric constant

A is the area of the dielectric

d is the distance between plates of the capacitor.

For initial, assuming the distance to be of unit distance, area will be given as

9 = (3 x A)/1

9 = 3A

A = 2 m^2. If we pull dielectric half way out, area becomes

C = (3 x 1)/1

C = 3 C

Josh has a helium-filled balloon. He wants to calculate the speed of his balloon as it rises to the ceiling. What two measurements should he take to calculate the average speed of his balloon?

Answers

Answer:Distance and time

Explanation:

We know that average speed is the ratio of distance traveled by the particle over the time taken

So average velocity of balloon is

[tex]v_{avg}=\frac{\text{Distance}}{\text{Time taken}}[/tex]

So, Josh should note the distance traveled by balloon and time taken in doing  so.

The two measurements required by Josh to calculate the average speed of the helium-filled balloon are distance and time.

The average speed of an object signifies and explains the total distance an object travels within a specified time. The average speed is a scalar quantity since it doesn't have a definite direction.

The average speed can be estimated if the measurement of the distance and time is being known because of its formula:

[tex]\mathsf{v_{avg} = \dfrac{distance}{time}}[/tex]

Learn more about average speed here:

https://brainly.com/question/12322912?referrer=searchResults

Other Questions
What happens in the electric circuit when the magnet spins? A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.Item 5A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form. Can someone help me with this? Work out the volume of the solid shapeGive your answers in terms of pi please Which adaptation would be most beneficial to mammals of both the taiga and marine aquatic biomes? opposite gender of stag Which of these was a weakness of the Articles of Confederation? A. The state governments did not have the power to tax. B. The state governments were less powerful than the national government. C. The national government had power over international trade. D. The national government could not enforce laws. In birds, having long feathers (L) is dominant to short feathers (l). A homozygous dominant bird and homozygous recessive bird mate. After creating a punnett square, give the genotypes and phenotypes of the four resulting offspring (include the number of each) The mean hourly wage for employees in industries is currently $24.57. Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries. a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries. b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. c. With = .05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach. When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the tank hold when it is full? Under the Land Law of 1851, many (blank) lost their land. What is the blank? Pirate radio stations began to spring up as a result of:O A. big companies supporting alternative artists and music.O B. large corporations buying up smaller radio stations.C. an attempt to reach more audiences than online stations could.O D. the fast-growing popularity of online custom playlists.HELP PLEASE!!! What is the main idea in paragraph 12 of martin luther kings letter from Birmingham jail? Velocity is the slope of the displacement vs. time graph.A. TrueB. False Estimate 782 divided by 50. find the vertical asymptote(s) of the function What is the value of y? What do the following areas of scientific understanding have in common? Which curve shows an exponential function of the form y-ab^x?A)B)C)D) IF CORRECT WILL MARK BRAINLIEST The cooperation between the United States and the Soviet Unionduring World War II supports the idea thatA Alliances are built upon mutual self-interestB communism and capitalism have much in commonC political leaders often disregard the wishes of their citizensDimperialism is necessary in defense of liberty