A-0.06 C charge that moves downward is in a uniform electric field with a strength of 200 N/C. What is the
magnitude and direction of the force on the charge?
O 12 Nup
O 12 N down
O 3333 Nup
O 3333 N down

Answer:

9.66 m/s 15° with +y

2.59 m/s 75° with +y

Explanation:

Momentum is conserved in the y direction.

mu₁ + mu₂ = mv₁ + mv₂

u₁ + u₂ = v₁ + v₂

10 m/s + 0 m/s = v₁ cos 15° + v₂ cos 75°

10 = v₁ cos 15° + v₂ cos 75°

Momentum is conserved in the x direction.

mu₁ + mu₂ = mv₁ + mv₂

u₁ + u₂ = v₁ + v₂

0 m/s + 0 m/s = v₁ sin 15° − v₂ sin 75°

0 = v₁ sin 15° − v₂ sin 75°

v₁ sin 15° = v₂ sin 75°

v₂ = v₁ sin 15° / sin 75°

Substitute.

10 = v₁ cos 15° + (v₁ sin 15° / sin 75°) cos 75°

10 = v₁ cos 15° + v₁ sin 15° / tan 75°

10 = v₁ (cos 15° + sin 15° / tan 75°)

v₁ ≈ 9.66 m/s

v₂ ≈ 2.59 m/s

The correct answer is Launch angle

Explanation:

The Independent Variable can be easily identified because this is the factor or variable the researcher modifies. In this case, this term applies to the angle because as part of the experiment the student changes the angle multiple times to test how the maximum height changes. Moreover, the maximum height would be the dependent variable as it is the main factor and it changes or depends on other variables including the angle. Thus, it can be concluded the independent variable is the launch angle or the angle from which the ball is launched.

Answer:

oxygen gains two electron to attain electron configuration like neon. Oe-²

Explanation:

Answer:

Reactance of the capacitor is 0.01 ohms.

Explanation:

It is given that,

Capacitance of the capacitor is 0.5 F

Peak voltage of the battery is 2 V

Angular frequency is 200 rad/s

We need to find the capacitive reactance. The capacitive reactance is due to the capacitor in the circuit. It is given by :

[tex]X_c=\dfrac{1}{\omega C}\\\\X_c=\dfrac{1}{200\times 0.5}\\\\X_c=0.01\ \Omega[/tex]

So, the reactance is 0.01 ohms.

Answer:

(a) 4.83 seconds

(b) 167.3m

(c) 40m

Explanation:

This is a two-dimensional motion. Therefore, the components of the initial velocity - [tex]u_X[/tex] and [tex]u_Y[/tex] - in the x and y directions are given as follows:

[tex]u_X[/tex] = u cos θ                 --------------(*)

[tex]u_Y[/tex] = u sin θ                -------------(**)

Where

θ = angle of projection

(a) To calculate the time taken for the apple to strike the ground.

For simplicity, let's first calculate the maximum height H reached by the apple.

Using one of the equations of motion as follows, we can find H:

v² = u² + 2as               ---------------(i)

Where;

v = velocity at maximum height = 0 [at maximum height, velocity is 0]

u = initial vertical velocity of the apple = [tex]u_Y[/tex]

=> u = [tex]u_Y[/tex] = u sin θ

=> [tex]u_Y[/tex] = 40 sin 30°

=> [tex]u_Y[/tex] = 40 x 0.5

=> [tex]u_Y[/tex] = 20 m/s

a = acceleration due to gravity = -g [apple moves upwards against gravity]

a = -10m/s²

s = H = maximum height reached from the top of the building

Substitute these values into equation (i) above to have;

0² = [tex]u_Y[/tex]² + 2aH

0² = (20)² + 2(-10)H

0 = 400 - 20H

20H = 400

H = 20m

The total time taken to strike the ground is the sum of the time taken to reach maximum height and the time taken to strike the ground from maximum height.

=>Calculate time t₁ to reach maximum height.

Using one of the equations of motion, we can calculate t₁ as follows;

v = [tex]u_Y[/tex]  + at                ---------------(ii)

Where;

v = velocity at maximum height = 0

u = initial vertical velocity of the apple = [tex]u_Y[/tex]

a = -g = -10m/s²           [acceleration due to gravity is negative since the apple is thrown upwards to reach maximum height]

t = t₁ = time taken to reach maximum height.

Equation (ii) then becomes;

0 = 20  + (-10)t₁

10t₁ = 20

t₁ = 2 seconds

=>Calculate time t₂ to strike the ground from maximum height.

Now, using one of the equations of motion, we can calculate the time taken as follows;

Δy = [tex]u_Y[/tex] t + [tex]\frac{1}{2}[/tex]at                ---------------(iii)

Where;

Δy = displacement from maximum height to the ground = maximum height from top of building + height of building = 20 + 20 = 40m

a = g = 10m/s²            [acceleration due to gravity is positive since the apple is now coming downwards from maximum height]

t = t₂    [time taken to strike the ground from maximum height]

[tex]u_Y[/tex] = initial vertical velocity from maximum height = 0

[tex]u_Y[/tex] = 0

Equation (iii) then becomes

40 = 0t + [tex]\frac{1}{2}[/tex](10)t₂²

40 = 5t₂²            [divide through by 5]

8 = t₂²

t₂ = ±[tex]\sqrt{8}[/tex]

t₂ = ±[tex]2\sqrt{2}[/tex]

t₂ = +2[tex]\sqrt{2}[/tex] or -2[tex]\sqrt{2}[/tex]

since time cannot be negative,

t₂ = 2[tex]\sqrt{2}[/tex] = 2.83 seconds

Therefore, the time taken for the apple to strike the ground is;

t₁ + t₂ = 2 +  2.83 = 4.83 seconds

(b) The distance from the foot of the building where the apple will strike the ground

Since this is the horizontal distance, we use the horizontal version of equation (iii) as follows;

Δx = [tex]u_X[/tex] t + [tex]\frac{1}{2}[/tex]at       -----------(v)

Where

Δx = distance from the foot of the building to where the apple strikes the ground.

[tex]u_X[/tex] = initial horizontal velocity of the apple as expressed in equation (*)

[tex]u_X[/tex] = 40 cos 30

[tex]u_X[/tex] = 34.64 m/s

t = time taken for the motion of the apple = 4.83 seconds [calculated above]

a = acceleration due to gravity in the horizontal direction = 0. [For a projectile, there is no acceleration in the horizontal direction since velocity is constant]

Substitute these values into equation (v) as follows;

Δx = [tex]u_X[/tex] t + [tex]\frac{1}{2}[/tex](0)t

Δx = 34.64 x 4.83

Δx = 167.3 m

Therefore, the distance from the foot of the building is 167.3m

(c) The maximum height reached by the apple from the ground

This is the sum of the height reached from the top of the building (20m which has been calculated in (a) above) and the height of the building.

= 20m + 20m = 40m

Answer:

Yes, the current will change if one light bulb is removed from the circuit.

Explanation:

Recall that each light bulb possess in fact resistance, and electric energy is converted into light and heat as current circulates through each.  therefore, removing one light bulb will change the total resistance of the circuit , thus affecting the current through it according to Ohm's Law.

Answer:

Explanation:

Using the formula for calculating the distance between the worker (source) and the reflector (ground) expressed as shown:

2x = vt where:

x is the distance between the source and the reflector

v is the velocity of sound in air

t is the time taken by is shout warning to reach the ground

Given parameters

x = 40.0m

v = 335m/s

Required

The time taken by is shout warning to reach the ground

Using the formula 2x = vt

t = 2x/v

t = 2(40)/335

t = 80/335

t = 0.239seconds

Hence it will take 0.339 seconds for his shout warning to reach the ground

Answer:24cm

Explanation:

Answer:

flat

Explanation:

Answer:

Explanation:

The earth-atmosphere energy balance is the balance between incoming energy from the Sun and outgoing energy from the Earth. Energy released from the Sun is emitted as shortwave light and ultraviolet energy. When it reaches the Earth, some is reflected back to space by clouds, some is absorbed by the atmosphere, and some is absorbed at the Earth's surface.

Hope this helped you!

Answer:

Uninvolved parenting style

Explanation:

Uninvolved parenting style is the parenting style which is thought to produce children who grow up to be emotionally withdrawn, distant, and lacking in curiosity.

This is usually because there is little or no contact between the parents and children which leaves a wide gap and the children start to become emotionally withdrawn as a result. They also aren’t curious to learn new things as a result of the absence of parental care.

Answer:

[tex] \boxed{ \bold{ \sf{see \: below}}}[/tex]

Explanation:

[tex] \boxed{ \bold{ \underline{ \huge{ \boxed{ \sf{ohm's \: law}}}}}}[/tex]

The relation between current through a metallic conductor and potential difference across its ends was studied systematically by a German physicist , George Simon Ohm in 1826 AD . This relation is now known as Ohm's law. It states that the electric current passing through a conductor is directly proportional to the potential difference across its two ends at a constant physical condition [ Temperature , cross - sectional area , length , nature of material etc ]

Hope I helped!

Best regards!!

Answer:

The average speed is 3.5 mi/h

Explanation:

Average speed is given by

[tex]Average speed = \frac{Total distance}{Total time}[/tex]

If the total distance covered is [tex]x[/tex] mi,

Then [tex]\frac{2}{3}x[/tex] mi was covered while hiking and

[tex]\frac{1}{3}x[/tex] mi was covered while running.

Now, we will find the time taken while hiking and the time taken while running

[tex]Speed = \frac{Distance}{ Time}\\ Time = \frac{Distance}{Speed}[/tex]

Speed = 2.9 mi/h

Distance = [tex]\frac{2}{3}x[/tex] mi

From,

[tex]Time = \frac{Distance}{Speed}[/tex]

[tex]Time = \frac{\frac{2}{3}x }{2.9}[/tex]

Time = [tex]0.2299x[/tex] h

Time taken while hiking is 0.2299 h

Speed = 5.6 mi/h

Distance = [tex]\frac{1}{3}x[/tex] mi

[tex]Time = \frac{Distance}{Speed}[/tex]

[tex]Time = \frac{\frac{1}{3}x }{5.6}[/tex]

Time = [tex]0.05952x[/tex] h

Now, for the average speed

[tex]Average speed = \frac{Total distance}{Total time}[/tex]

Total distance = [tex]\frac{2}{3}x[/tex] mi  + [tex]\frac{1}{3}x[/tex] mi = [tex]x[/tex] mi

Total time = [tex]0.2299x[/tex] + [tex]0.05952x[/tex] = [tex]0.28942x[/tex] h

∴ [tex]Average speed = \frac{x}{0.28942x}[/tex]

Average speed = 3.4552 mi/h

Average speed ≅ 3.5 mi/h

Answer:

42.5 miles

Explanation:

To find the answer we need to know the formula:

Distance = speed x time

85 x 0.5 = 42.5 miles

Hope this helps!

Answer:

 #_bills = 2.59 10⁸  Bills

Explanation:

For this exercise we must calculate the length of the Earth's circle

        L = 2π r

Let's reduce to the SI system

        r = 6.40 10³ km (1000m / 1km) = 6.40 10⁶ m

        d = 15.5 cm (1m / 100cm) = 0.155 m

        L = 2π 6.40 10⁶

        L = 40.21 10⁶ m

now we can use a direct rule of proportions (rule of three). If 1 bill has d = 0.155, how much bill will have L

       #_bills = 1 L / d

       #_bills = 1 40.21 10⁶6 / 0.155

       #_bills = 2.59 10⁸  Bills

the total number of bills is  2.6 10⁸ bills

1.) equal volume of different substances have "different" masses.

2.)The more closely packed arrangement the particles of a substance have, "increases" its density.

3.)the SI unit of power is "Watts".

4.)an iron nail sinks in water but floats on " mercury ".

5.)balloons used for advertisements are filled with " helium" gas.

6.)"Conduction" is the primary mode of heat transfer in liquid and gases.

I hope this helps you...

Answer:

(-2.57*10^20, 3.67*10^20, 0)

Explanation:

Refer to the attachment.

I hope that helps

Answer: radiation from the Sun the existence of background radiation the continued existence of dark energy light shifts identified by the Doppler effect.

Explanation:

Answer: nor are magnetic

Answer: Neither salt or water are magnetized.

Explanation: The best way to separate salt and water is to boil the mixture. If you wanted to use a magnet you would need something magnetized, like iron fillings.

Answer:

John

Explanation:

John Dalton is the scientist with the atomic model.

Answer:

John Daltons atomic model

Explanation:

Answer:

I think the answer is B, I am not for sure

Answer:

a

e(k) =  \frac{2a}{c}  *  sin (\frac{k*a}{2} )

b

G_{v} =  \frac{d e(k ) }{dk }  =  \frac{a^2}{c}  *  cos (\frac{k* a}{2} )

Explanation:

From the question we are told that

    The  velocity  of transverse waves in a crystal of atomic separation is  

                  [tex]b_y  = c \frac{sin (\frac{k*a}{2} )}{\frac{k*a}{2} }[/tex]

Generally the dispersion relation is mathematically represented as

            [tex]e(k) =  b_y  *  k[/tex]

=>    [tex]e(k) = c  \frac{sin(\frac{k*a}{2} ) }{ \frac{k*a}{2} }  *  k[/tex]

=>    [tex]e(k) =   c *  \frac{sin (\frac{k_a}{2} )}{ \frac{a}{2} }[/tex]

=>    [tex]e(k) =  \frac{2a}{c}  *  sin (\frac{k*a}{2} )[/tex]

Generally the group velocity is mathematically represented as

          [tex]G_{v} =  \frac{d e(k ) }{dk }  =  \frac{a^2}{c}  *  cos (\frac{k* a}{2} ) [/tex]

Answer:

The value is  [tex]F_2 = 395 \ N[/tex]

Explanation:

From the question we are told that

   The magnitude of the charge of each positive charge for the first case is [tex]q_1 = q_2 = q[/tex]

   The distance between the charges for the first case is  [tex]d[/tex]

   The  force between the charges for the first case  is  [tex]F = 20 \ N[/tex]

     The magnitude of the charge of each positive charge for the second case is [tex]q_1 = q_2=11.11q[/tex]

     The  distance between the charge for the second case is [tex]2.5d[/tex]

Generally for the first case the force between the charge is mathematically  represented as

       [tex]F_1 = \frac{k * q^2 }{d^2}[/tex]

Where k is the Coulomb constant with value   [tex]k = 9*10^{9} \ kg\cdot m^3\cdot s^{-4} \cdot A^{-2}.[/tex]

  So  

     [tex]20= \frac{k * q^2 }{d^2}[/tex]

Generally for the second  case the force between the charge is mathematically  represented as

       [tex]F_2 = \frac{k * (11.11q)^2}{(2.5d)^2}[/tex]

       [tex]F_2 = \frac{k * 11.11^2 *q^2}{2.5^2d^2}[/tex]

=>      [tex]F_2 = \frac{11.11^2}{2.5^2} F_1[/tex]

=>      [tex]F_2 = \frac{11.11^2}{2.5^2} * 20[/tex]

=>      [tex]F_2 = 395 \ N[/tex]

Your question has been heard loud and clear.

Well it depends on the magnitude of charges. Generally , when both positive charges have the same magnitude , their equilibrium point is towards the centre joining the two charges. But if magnitude of one positive charge is higher than the other , then the equilibrium point will be towards the charge having lesser magnitude.

Now , a negative charge is placed in between the two positive charges. So , if both positive charges have same magnitude , they both pull the negative charge towards each other with an equal force. Thus the equilibrium point will be where the negative charge is placed because , both forces are equal , and opposite , so they cancel out each other at the point where the negative charge is placed. However if they are of different magnitudes , then the equilibrium point will be shifted towards the positive charge having less magnitude.

Thank you

Answer:

it will be positive

Explanation:

Answer:

13s

Explanation:

(7.5m/s)(t)=(100m)

t=(100/7.5)s=13s

Explanation:

Power of an electrical appliance is given by :

P = VI

Here,

V is the voltage

I is the current

From the above formula for power, we find that power is directly proportional to the voltage of the circuit. If a single bulb is there in the circuit, increasing the voltage of the bulb will increase its power, which in turn increases its bulb brightness or intensity.

Answer:

The intensity of the EM wave is 5.729 W/m²

The rms value of the electric field is 46.452 V/m

Explanation:

Given;

power of the electromagnetic wave, P = 1800 W

The intensity of light is given by;

I = P / A

Where;

A is the surface area of the sphere = 4πr²

A is the surface area of the sphere = 4π(5)²

A is the surface area of the sphere = 314.2 m²

The intensity is calculated as;

I = P / A

I = (1800) / (314.2)

I = 5.729 W/m²

The rms value of the electric field is given by;

[tex]E_{rms} = \sqrt{\frac{I}{c \epsilon _o}}\\\\E_{rms} = \sqrt{\frac{5.729}{(3*10^8)( 8.85*10^{-12})}}\\\\E_{rms} = 46.452 \ V/m[/tex]

Answer: The object changed directions

The object sped up

Explanation:

Answer:

D is not the a vector quantities