If one has twice the length of the other, what is the ratio of the diameter of the longer wire to the diameter of the shorter wire

Answers

Answer 1

Explanation:

The resistance of a wire is given by the formula as follows :

[tex]R=\rho \dfrac{l}{A}[/tex]

l is length of wire

A is area of cross section, [tex]A=\pi r^2[/tex]

Since, r=d/2, d = diameter

[tex]A=\pi \dfrac{d^2}{4}[/tex]

It is given in the problem that the resistance of two aluminum wires is same.

[tex]R_1=R_2\\\\\rho\dfrac{L_1}{\pi d_1^2/4}=\rho\dfrac{L_2}{\pi d_2^2/4}\\\\\dfrac{L_1}{L_2}=\dfrac{d_1^2}{d_2^2}[/tex]

We have, L₁=2L₂

So,

[tex]\dfrac{2L_2}{L_2}=\dfrac{d_1^2}{d_2^2}\\\\\dfrac{d_1^2}{d_2^2}=2\\\\\dfrac{d_1}{d_2}=\sqrt{2}[/tex]

So, the ratio of the diameter of the longer wire to the diameter of the shorter wire is [tex]\sqrt2:1[/tex]


Related Questions

hor and Hulk are fighting eachother, back and forth in a straight line in the master's colosseum. Hulk punches thor into a wall 30 meters away from the start. Thor then hit's hulk with a hammer, hurling Hulk 45 meters back from the wall. This all happens in the course of 3 seconds. What is the speed of their fight across the arena?
a. 25 m/s
b. 10 m/s forward from Hulk and Thor's starting point.
c. 5 m/s backwards from hulk's starting point
d. 5 m/s

Answers

Answer:

A

Explanation:

cant be c because its asking for speed and speed doesnt have direction

A truck took 4 hours to complete a journey. At the first 1 h 45
min, it travelled at an average speed of 70 km/h. For the rest of
the journey, it travelled at an average speed of 80 km/h. What
was the total distance of the journey?

Answers

Answer:302.5

Explanation:

You drive your car in a straight line at 15 m/s for 10 kilometers, then at 25 m/s for another 10 kilometers.
a. What is your average speed?
b. Choose the best explanation from among the following:
1) More time is spent at 15 m/s than at 25 m/s.
2) The average of 15 m/s and 25 m/s is 20 m/s.
3) Less time is spent at 15 m/s than at 25 m/s.

Answers

Answer:

A) Average speed = 18.75 m/s

B) More time is spent at 15 m/s than at 25 m/s.

Explanation:

Let the first distance be d1 and the second distance be d2.

We are given;

d1 = 10 km = 10000 m

d2 = 10 km = 10000 m

Speed; v1 = 15 m/s

Speed; v2 = 25 m/s

Now, the formula for distance is; Distance = speed x time

Thus:

d1 = v1 x t1

t1 = d1/v1 = 10000/15 = 666.67 seconds

Also,

d2 = v2 x t2

t2 = d2/v2 = 10000/25 = 400 seconds

Average speed = total distance/total time = (10000 + 10000)/(666.67 + 400) = 18.75 m/s

From earlier, since t1 = 666.67 seconds and t2 = 400 seconds, then;

More time at 15 m/s than at 25 m/s.


A hockey puck moves 26 meters northward, then 12 meters southward, and finally 6 meters
northward
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?

Answers

Answer:

The distance moved is 44 metres.

The magnitude of displacement is 20 metres with northward direction.

Answer:

44 m.

North 20 m.

Explanation:

Distance moved = 26 + 12 + 6

=  44 m.

Magnitude of the displacement = 26 - 12 + 6

= 20m

Direction is Northward.

A NASA spacecraft measures the rate of at which atmospheric pressure on Mars decreases with altitude. The result at a certain altitude is:

Answers

Complete Question

A NASA spacecraft measures the rate R of at which atmospheric pressure on Mars decreases with altitude. The result at a certain altitude is: [tex]R = 0.0498 \ kPAkm^{-1}[/tex] Convert R to [tex]kJ*m^{-4}[/tex]

Answer:

The value  is       [tex]R  = 0.0498 *10^{-3} \frac{kJ}{m^4}[/tex]

Explanation:

From the question we are told that

   The altitude is  [tex]R = 0.0498 \ kPAkm^{-1}[/tex]

Generally  

     [tex]1 k PA  =  1000 PA[/tex]

So  

   [tex]R = 0.0498 \frac{1000PA}{ km}[/tex]

Also  

   1 km  =  1000 m

   

So  

     [tex]R = 0.0498 \frac{1000PA}{ 1000m}[/tex]

=>   [tex]R = 0.0498 \frac{1 PA}{ 1 m}[/tex]

Now  PA  is Pascal which is mathematically represented as

       [tex]PA =  \frac{N}{m^2 }[/tex]

So

   [tex]R  = 0.0498 \frac{\frac{N}{m^2} }{m}[/tex]

    [tex]R  = 0.0498 \frac{N}{m^3}[/tex]

Looking the unit we are arrive at we see that it contains  J  which is mathematically represented as

      [tex]J =  N  *  m[/tex]

So  

  [tex]R  = 0.0498 \frac{ N \frac{m}{m} }{m^3}[/tex]

=>  [tex]R  = 0.0498 \frac{\frac{J}{m} }{m^3}[/tex]

=>  [tex]R  = 0.0498 \frac{J}{m^4}[/tex]

Generally  

      [tex]1 J \to 1.0*10^{-3} kJ[/tex]

      [tex]0.0498 J  \to x kJ[/tex]

=>      [tex]x =  \frac{0.0498 *  1.0*10^{-3}}{1}[/tex]

=>   [tex]0.0498 *10^{-3} kJ[/tex]

So

    [tex]R  = 0.0498 *10^{-3} \frac{kJ}{m^4}[/tex]

       

     

Which observation is the most objective? a My frog died after 3 days in the aquarium. I will miss him. b My frog died after three days in the aquarium. We will test the temperature and water conditions to find out why. c Frogs tend to die in captivity. Ours did after three days.

Answers

Answer:

b

Explanation:

a looks so silly

Which particle is most likely to interact with your hand? Select one: a. Alpha particle b. Beta particle c. Gamma particle d. Neutrino

Answers

Answer:

The correct option is a

Explanation:

The alpha particle has the lowest penetrating power of the trio of alpha, beta and gamma particles and can be stopped by a sheet of paper and hence cannot penetrate a human skin. Beta particle has a higher penetrating power than alpha particle (some of it penetrates the human skin and some do not) while the gamma particle has the highest penetrating power (with all of it penetrating the human skin).

From the above description, it can be deduced that the alpha particle will stay and interact with the hand (because of its low penetrating power) as the remaining particles move through the skin.

Determine the scalar components Ra and Rb of the force R along the nonrectangular axes a and b. Also determine the orthogonal projection Pa of R onto axi

Answers

Answer: Hello your question is incomplete attached below is the complete question

Ra = 1132 N

Rb = 522.6 N

Pa = 679.7 N

Explanation:

To determine the scalar components Ra

[tex]\frac{Ra}{Sin 120^o} = \frac{750}{sin 35^o}[/tex]  

therefore : Ra = [tex]\frac{sin120^o * 750}{sin 35^o}[/tex] = 1132 N

To determine the scalar component Rb

[tex]\frac{Rb}{sin 25^o} = \frac{750}{sin 35^o}[/tex]

therefore : Rb = [tex]\frac{sin 25^o * 750}{sin 35^o}[/tex]  = 522.6 N

To determine the orthogonal projection Pa of R onto

Pa = 750 cos[tex]25^o[/tex] = 679.7 N

Using the lensmaker's formula (equation (5) of your lab manual), calculate the index of refraction of the acrylic lens. You should use the f_are you calculated in part (1) above instead of the value for the focal length of the concave lens that you measured. Remember that the focal length of a concave lens is negative so in this case, f = -f_are.

Answers

Answer:

  n = 1 + R / f

Explanation:

The equation of the constructor is optical is

          1 / f = 1 / p + 1 / q

where f is the focal length, p and q are the distance to the object and image, respectively

The exercise tells us that it is a concave lens with focal length fo, in these lenses the focal length is negative. The relationship to calculate the focal length is

         1 / f = (n -n₀) (1 /R₁ - 1 /R₂)

where is n₀ the refractive index of the medium that surrounds the lens in this case it is air with n₀ = 1, you do not indicate the type of lens, but the most used lens is the concave plane, in this case R₂ = ∞, so which 1 / R₂ = 0, let's substitute

         1 / f = (n-1) / R₁

         n - 1 = R₁ / f

let's calculate

         n = 1- R₁ / f

remember that the radius of curvature is negative, so the equation is

         n = 1 + R / f

The effective spring constant describing the potential energy of the HBr molecule is 410 N/m and that for the NO molecule is 1530 N/m.A) Calculate the minimum amplitude of vibration for the NO molecule.
B) Calculate the minimum amplitude of vibration for the HCl molecule.

Answers

Answer:

a. the minimum amplitude of vibration for the NO molecule A [tex]\simeq[/tex] 4.9378 pm

b. the minimum amplitude of vibration for the HCl molecule A [tex]\simeq[/tex] 10.9336 pm

Explanation:

Given that:

The effective spring constant describing the potential energy of the HBr molecule is 410 N/m

The effective spring constant describing the potential energy of the NO molecule is 1530 N/m

To calculate the minimum amplitude of vibration for the NO molecule, we use the formula:

[tex]\dfrac{1}{2}kA^2= \dfrac{1}{2}hf[/tex]

[tex]kA^2= hf[/tex]

[tex]A^2= \dfrac{hf}{k}[/tex]

[tex]A = \sqrt{\dfrac{hf}{k}}[/tex]

[tex]A = \sqrt{\dfrac{(6.626 \times 10^{-34} \ J. s ) ( 5.63 \times 10^{13} \ s^{-1})}{1530 \ N/m}}[/tex]

[tex]A = \sqrt{\dfrac{3.730438 \times 10^{-20} \ m}{1530 }[/tex]

[tex]A = \sqrt{2.43819477 \times 10^{-23}\ m[/tex]

[tex]A =4.93780799 \times 10^{-12} \ m[/tex]

A [tex]\simeq[/tex] 4.9378 pm

The effective spring constant describing the potential energy of the HCl molecule is 480 N/m

To calculate the minimum amplitude using the  same formula above, we have:

[tex]A = \sqrt{\dfrac{hf}{k}}[/tex]

[tex]A = \sqrt{\dfrac{(6.626 \times 10^{-34} \ J. s ) ( 8.66 \times 10^{13} \ s^{-1})}{480 \ N/m}}[/tex]

[tex]A = \sqrt{\dfrac{5.738116\times 10^{-20} \ m}{480 }[/tex]

[tex]A = \sqrt{1.19544083\times 10^{-22}\ m[/tex]

[tex]A = 1.09336217 \times 10^{-11} \ m[/tex]

[tex]A = 10.9336217 \times 10^{-12} \ m[/tex]

A [tex]\simeq[/tex] 10.9336 pm

ame
2. A train moving at 15 m/s slows down, and eventually stops after 5
seconds. What is the acceleration of the train?
G: Vi =
Vf=
U:
E: Formula
S: Substitute
S: Solve

Answers

Answer:

Acceleration, a = -3 m/s²

Explanation:

Given that,

Initial speed, u = 15 m/s

Final speed, v = 0

Time, t = 5 s

We need to find the acceleration of the train. It is equal to the change in velocity divided by time taken. So,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{0-15\ m/s}{5\ s}\\\\a=-3\ m/s^2[/tex]

So, the acceleration of the train is 3 m/s² and it is deaccelerating.

Find p1, the gauge pressure at the bottom of tube 1. (Gauge pressure is the pressure in excess of outside atmospheric pressure.) Express your answer in terms of quantities given in the problem introduction and g, the magnitude of the acceleration due to gravity.

Answers

Answer:

(a). The gauge pressure at the bottom of tube 1 is [tex]P_{1}=\rho g h_{1}[/tex]

(b).  The speed of the fluid in the left end of the main pipe [tex]\sqrt{\dfrac{2g(h_{2}-h_{1})}{(1-(\gamma)^2)}}[/tex]

Explanation:

Given that,

Gauge pressure at bottom = p₁

Suppose, an arrangement with a horizontal pipe carrying fluid of density p . The fluid rises to heights h1 and h2 in the two open-ended tubes (see figure). The cross-sectional area of the pipe is A1 at the position of tube 1, and A2 at the position of tube 2.

Find the speed of the fluid in the left end of the main pipe.

(a). We need to calculate the gauge pressure at the bottom of tube 1

Using bernoulli equation

[tex]P_{1}=\rho g h_{1}[/tex]

(b). We need to calculate the speed of the fluid in the left end of the main pipe

Using bernoulli equation

Pressure for first pipe,

[tex]P_{1}=\rho gh_{1}[/tex].....(I)

Pressure for second pipe,

[tex]P_{2}=\rho gh_{2}[/tex].....(II)

From equation (I) and (II)

[tex]P_{2}-P_{1}=\dfrac{1}{2}\rho(v_{1}^2-v_{2}^2)[/tex]

Put the value of P₁ and P₂

[tex]\rho g h_{2}-\rho g h_{1}=\dfrac{1}{2}\rho(v_{1}^2-v_{2}^2)[/tex]

[tex]gh_{2}-gh_{1}=\dfrac{1}{2}(v_{1}^2-v_{2}^2)[/tex]

[tex]2g(h_{2}-h_{1})=v_{1}^2-v_{2}^2[/tex]....(III)

We know that,

The continuity equation

[tex]v_{1}A_{1}=v_{2}A_{2}[/tex]

[tex]v_{2}=v_{1}(\dfrac{A_{1}}{A_{2}})[/tex]

Put the value of v₂ in equation (III)

[tex]2g(h_{2}-h_{1})=v_{1}^2-(v_{1}(\dfrac{A_{1}}{A_{2}}))^2[/tex]

[tex]2g(h_{2}-h_{1})=v_{1}^2(1-(\dfrac{A_{1}}{A_{2}}))^2[/tex]

Here, [tex]\dfrac{A_{1}}{A_{2}}=\gamma[/tex]

So, [tex]2g(h_{2}-h_{1})=v_{1}^2(1-(\gamma)^2)[/tex]

[tex]v_{1}=\sqrt{\dfrac{2g(h_{2}-h_{1})}{(1-(\gamma)^2)}}[/tex]

Hence, (a). The gauge pressure at the bottom of tube 1 is [tex]P_{1}=\rho g h_{1}[/tex]

(b).  The speed of the fluid in the left end of the main pipe [tex]\sqrt{\dfrac{2g(h_{2}-h_{1})}{(1-(\gamma)^2)}}[/tex]

The siren of a fire engine that is driving northward at 31.0 m/s emits a sound of frequency 2020 Hz. A truck in front of this fire engine is moving northward at 19.0 m/s.
a) What is the frequency of the siren's sound that the fire engine's driver hears reflected from the back of the truck?
b) What wavelength would this driver measure for these reflected sound waves?

Answers

Answer:

A. Using

Fl= ( v+vl/v+vz)fz

= (340+19/340+31) x 2020

= 1954.7Hz

Then to find the frequency of sound when reflected from the truck such that the driver becomes the listener

we use

F"= ( v+vz/v+vl) fz

= 340+31/340+19 x 2020

2087.5Hz

B to find the wavelength of sound we use

Wavelength= V+vl/ F"

= 340+31/2087.5= 0.18m

Why is it harder pushing a car than pushing a bike?

Answers

Answer:

When inertia increases, it's because the mass increased, which increases the normal force, which ultimately increases friction.

A car is heavier and bigger while the bike is lighter and smaller

give me an example of orderliness In nature​

Answers

Answer:

Here are some examples of orderliness In nature​

1. The proposal that the order of nature showed evidence of having its own human-like "intelligence" goes back to the origins of Greek natural philosophy and science, and its attention to the orderliness of nature, often with special reference to the revolving of the heavens.

2. For Stillman, the orderliness of Astaire-like dance is an actual cure for destructive emotions.

3. Tells about the orderliness of the crowds, and of the dispatch with which the trains were being filled and emptied.

an Alpha particle moving in north direction give reasons​

Answers

Your question has been heard loud and clear.

An alpha particle , can move in any direction randomly. But with a magnetic field , we can deflect the alpha particle in any direction we want.

So , the magnetic field must be placed to the west of the alpha particle , so that the particle gets deflected and moves towards the north direction.

Thank you.

Like AL2006 said reasons for what

A hollow conductor carries a net charge of ++3QQ. A small charge of −−2QQ is placed inside the cavity in such a way that it is isolated from the conductor. How much charge is on the outer surface of the conductor?

Answers

Answer:

The value is  [tex]q_o = Q[/tex]

Explanation:

From the question we are told that

   The net charge is [tex]Q = + 3Q[/tex]

     The  charge place on the  inside of the cavity is  [tex]q = -2Q[/tex]

Since we are told from the question that small charge placed inside the cavity is isolated from the conductor

  Then it implies that the electric flux is  Zero

Which mean that the charge place within the conductor +  the charge  on the inner region of the conductor  =  0  

i.e

     [tex]q + q_i = 0[/tex]

=>   [tex]-2Q + q_i = 0[/tex]

=>   [tex]q_i = 2Q[/tex]

Now the net charge on the conductor is mathematically represented as

   [tex]Q = q_o + q_i[/tex]

Here  [tex]q_o[/tex] is the charge on the outer surface

So

    [tex]3Q = q_o + 2Q[/tex]

=>   [tex]q_o = Q[/tex]

A beam of helium-3 atoms (m = 3.016 u) is incident on a target of nitrogen-14 atoms (m = 14.003 u) at rest. During the collision, a proton from the helium-3 nucleus passes to the nitrogen nucleus, so that following the collision there are two atoms: an atom of "heavy hydrogen" (deuterium, m = 2.014 u) and an atom of oxygen-15 (m = 15.003 u). The incident helium atoms are moving at a velocity of 6.346 x 10° m/s. After the collision, the deuterium atoms are observed to be moving forward (in the same direction as the initial helium atoms) with a velocity of 1.531 x 107 m/s.A) What is the final velocity of the oxygen-15 atoms? B) Compare the total kinetic energies before and after the collision.

Answers

Answer:

Explanation:

We shall apply law of conservation of momentum to solve the problem .

Helium-3 collides with nitrogen-14 at rest . After the collision the newly formed deuterium atom and oxygen-15  atom moves .

momentum before the collision

= 3.016 x 6.346 x 10⁶ + 14.003 x 0 = 19.14 x 10⁶ unit

momentum after collision

2.014 x 1.531 x 10⁷ + 15.003 V

3.083 x 10⁷ +  15.003 V units

Applying the law of conservation of momentum ,

19.14 x 10⁶ = 3.083 x 10⁷ +  15.003 V

1.914 x 10⁷ = 3.083 x 10⁷ +  15.003 V

15.003 V = - 1.169 x 10⁷

V = .077917 x 10⁷

= 7.79 x 10⁵  m /s

= .0779 x 10⁷ m /s

mass of helium atom = 3.016 u = 3.016 x 1.67 x 10⁻²⁷ kg

velocity = 6.346 x 10⁶ m /s

kinetic energy = 1 /2 x  3.016 x 1.67 x 10⁻²⁷ x (6.346 x 10⁶ )²

= 101.42 x 10⁻¹⁵ J  

kinetic energy of nitrogen atoms = 0

Total energy before collision =  101.42 x 10⁻¹⁵ J  

Similarly kinetic energy after collision

= 1 /2 x [ 2.014 x 1.531² + 15.003 x .0779² ] x 1.67 x 10⁻²⁷ x 10¹⁴

= .835 x [ 4.72  + .09 ] x 10⁻¹³ J

=  4.016 x 10⁻¹³ J

= 401.6 x 10⁻¹⁵  J  

value of kinetic energy is increased .

A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change. A) True B) False

Answers

Answer:

False

Explanation:

Faraday's law gives the relationship between the induced emf and the rate of change of magnetic flux i.e.

[tex]\epsilon=\dfrac{-d\phi}{dt}[/tex]

The given statement "A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change" is false. The reason is that if the rate of change of magnetic flux is greater, then its will induce more emf. It would mean it does not say about emf.

Hence, it is false.

Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.40 m from the grating. Part A In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 2.92 mm . What is the difference between these wavelengths? Express your answer in meters.

Answers

Answer:

13.51 nm

Explanation:

To solve this problem, we are going to use angle approximation that sin θ ≈ tan θ ≈ θ where our θ is in radians

y/L=tan θ ≈ θ

and ∆θ ≈∆y/L

Where ∆y= wavelength distance= 2.92 mm =0.00292m

L=screen distance= 2.40 m

=0.00292m/2.40m

=0.001217 rad

The grating spacing is d = (90000 lines/m)^−1

=1.11 × 10−5 m.

the small-angle

approx. Using difraction formula with m = 1 gives:

mλ = d sin θ ≈ dθ →

∆λ ≈ d∆θ = =1.11 × 10^-5 m×0.001217 rad

=0.000000001351m

= 13.51 nm

en un experimento se retiro a un pardela de su nido se le llevo a 5150 km de distancia y luego fue liberada su regreso a su nido fue 13.5 dias despues de haberse soltado si el origen es el nido y extendemos el eje +x al punto de liberacion ¿cual fue la velocidad media del ave?a)en el vuelo de regreso b) desde que se retirodel nido hasta que regreso

Answers

Answer:

a)   v = - 4.4168 m / s  , b)    V = 0

Explanation:

The average speed is the variation of the displacement in time used.

          v = Δx /Δt = (x₂-x₁) / (t₂-t₁)

let's apply this equation to our case

Let's reduce the magnitudes of the system Yes

         Δx = 5150 km (1000 m / 1km) = 5.15 106 m

         Δt = 13.5 day (86,400 s / 1 day) = 1,166 10 6 s

a) return trip

the vector is negative because it points long towards the center of the system

         v = - 5.15 106 / 1.166 106

         v = - 4.4168 m / s

the negative sign indicates that he is coming back, to the lair

b) In a complete trip the distance is zero, because it is a vector, consequently the mean fickleness is also zero

                     V(j_ = 0

Distance is the length of a path followed by a particle. The displacement of a particle is defined as its change in position in some time interval.
a. True
b. False

Answers

Answer:

a. True

Explanation:

Distance is described with only magnitude. It is defined as the total path covered by an object, in other words it  is the length of a path followed by a particle.

Displacement is described with both magnitude and direction. It is distance traveled in a specified direction or  change in position in some time interval.

Therefore, the correct option is " a. True"

Two small metal cubes with masses 2.0 g and 4.0 g are tied together by a 4.7-cm-long massless string and are at rest on a frictionless surface. Each is charged to +2.5 μC .
What is the energy of this system?
Express your answer using two significant figures.
What is the tension in the string?
Express your answer using two significant figures.
The string is cut. What is the speed of each sphere when they are far apart?
Hint: There are two conserved quantities. Make use of both.
Express your answers using two significant figures. Enter your answers numerically separated by a comma.
(v2g,v4g)=_____m/s

Answers

Answer:

1.2J

26 N

(-28, 14) m/s

Explanation:

energy

U = kQq / d = 8.99*10^9 * (2.5*10^-6C)² / 0.047m

U = 0.0562/0.047

U = 1.20 J

to two significant figures

tension

T = kQq / d²

T = U / d

T = 1.2 / 0.047

T = 25.53 N = 26 N to 2 sf

Momentum is conserved, and the initial momentum is zero:

0 = 0.0020 * V2 + 0.0040 * V4

so

V2 = -2 * V4

Energy is also conserved:

½ * 0.0020 * (-2V4)² + ½ * 0.0040 * (V4)² = 1.2 J

-½ * 0.0080 * V4² + ½ * 0.0040 * V4² = 1.2 J

-0.0040V4² + 0.002V4² = 1.2 J

0.0060V4² = 1.2 J

V4² = 1.2/0.0060

V4² = 200

V4 = √200

V4 = 14 m/s

and since V2 = -2 * V4

V2 = -28 m/s

(V2, V4) = (-28, 14)

The energy of this system is 1.2J

The  tension in the string is 26 N

The speed of each sphere when they are far apart is (-28, 14) m/s

Calculation of energy, tension, and speed:

The energy should be

U = kQq / d

= 8.99*10^9 * (2.5*10^-6C)² / 0.047m

U = 0.0562/0.047

U = 1.20 J

The tension should be

T = kQq / d²

T = U / d

T = 1.2 / 0.047

T = 25.53 N

= 26 N

The speed should be

Since Momentum should be conserved, and the initial momentum is zero:

So,

0 = 0.0020 * V2 + 0.0040 * V4

Now

V2 = -2 * V4

Due to this, Energy is also conserved:

½ * 0.0020 * (-2V4)² + ½ * 0.0040 * (V4)² = 1.2 J

-½ * 0.0080 * V4² + ½ * 0.0040 * V4² = 1.2 J

-0.0040V4² + 0.002V4² = 1.2 J

0.0060V4² = 1.2 J

V4² = 1.2/0.0060

V4² = 200

V4 = √200

V4 = 14 m/s

and now V2 = -2 * V4

V2 = -28 m/s

(V2, V4) = (-28, 14)

Learn more about energy here: https://brainly.com/question/15182235

43 Points For Answering & +22 for Brainliest

Question 1

A student conducts an experiment to test how the temperature of a ball affects its bounce height. The same ball is used for each test, and the ball is dropped from the same height each time. What is the dependent variable?
A.The type of ball
B.The temperature of the ball
C.The drop height of the ball
D.The bounce height of the ball

Question 2

A student conducts an experiment to test how the temperature affects the amount of sugar that can dissolve in water. In the experiment, she uses 100 millilitres of water in each trial and stirs for five minutes each time. What is the independent variable?
A.The amount of water
B.The temperature of the water
C.The amount of sugar
D The time stirred

Question 3

Which of the following is a way for scientists to limit the amount of errors in their experimentation?
A.Using controls
B.Only completing an experiment once
C.Using equipment to measure the experiment that has been damaged
D.There is no need to record data from an experiment

Answers

Answer:

Question 1: D because the height the ball bounces depends on all the other factors in the experiment.

Question 2: B because the the temperature of the water is not affected by the other variables.

Question 3: A because the more that they can control in the experiment, the more accurate the results will be.

Hopefully this helps :)

1:D 2:B 3:A

just took the test

In the drawing, what is the vector sum of forces A→+B→+C→ if each grid square is 7.00 N on a side? If the resultant is eastward, enter a positive value and if the resultant is westward, enter a negative value.

Answers

Answer:

resultant force = 14 N  ( East direction)

Explanation:

A = [tex]\sqrt{(4*7)^2 + (4*7)^2}[/tex]

A = 39.6 N

B = 4 * 7

B = 28 N

C = 2 * 7

C = 14 N

∑ y forces = Ay - B = (4*7) - 28 = 0

∑ x forces = Ax - C = (4*7) - 14 = 14 N

so the resultant force = 14 N  ( East direction)

Answer:

resultant = 14 N to the right

Explanation:

A→+B→+C→

adding all forces acting on x

and

adding all forces acting on y

A = sqrt(4*7)^2 + (4*7)^2 = 39.6

B = 4 * 7 = 28

C = 2 * 7 = 14

forces acting on x = (4*7) - 28 = 0

forces acting on y = (4*7) - 14 = 14 N

so the resultant = 14 N to the right

Which term describes a quantity that has both magnitude and direction?

Answers

Vector  explanation is apex and I got 100 on the test and it’s the definition

At t = 0, one toy car is set rolling on a straight track with initial position 13.0 cm, initial velocity -3.6 cm/s, and constant acceleration 2.20 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 11.5 cm, initial velocity 5.40 cm/s, and constant zero acceleration. (a) At what time, if any, do the two cars have equal speeds? (Enter NA if the cars never have equal speeds.) s (b) What are their speeds at that time? (Enter NA if the cars never have equal speeds.) cm/s (c) At what time(s), if any, do the cars pass each other? (If there is only one time, enter NA in the second blank. If there are two times, enter the smaller time first. If they never pass, enter NA in both blanks.) s s (d) What are their locations at that time? (If there is only one position, enter NA in the second blank. If there are two positions, enter the smaller position first. If they never pass, enter NA in both blanks.) cm cm (e) Explain the difference between question (a) and question (c) as clearly as possible.

Answers

Answer:

that's too much to read

Density is calculated by dividing

Answers

Answer:

Density is the mass of an object divided by its volume. Density often has units of grams per cubic centimeter (g/cm3). Remember, grams is a mass and cubic centimeters is a volume (the same volume as 1 milliliter).

Explanation:

Hey, there!

Density is defined as mass per unit volume. so, when we keep is as a formula we get like,

[tex]density = \frac{mass}{volume} [/tex]

So, you can state that density is calculated by dividing mass by its unit volume.

Hope it helps...

1. A particle is moving along the x-axis. Its position as a function of time is given as x = bt − ct 2 . a) What must be the units of the constants b and c, if x is in meters and t in seconds?

Answers

Answer:

Given x = bt-c²

We know that t= time (s)

x= distance (m)

So

bxt= meters

m/s x s= m

And then c= m/s²

And b= m/s

When the Apollo 11 lunar module Eagle lands on the moon it comes to a stop 10m above the surface of the moon.The last 10m it freely falls to the surface of the Moon. i) How long does it take for the Eagle to touch down

Answers

Answer:

3.5s

Explanation:

Using equation of motion number 2

S= ut + 1/2 gt²

Substituting

10= 0.5+1.62t²

t= 3.5seconds

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