What is the time in seconds?

Answer:

No. The torque required after attaching the rope is the same as it was before attaching the rope.

L = r X F

The torque was not increased by attaching the rope.

Answer:

2

Explanation:

We would use the formula for velocity!

V= displacement/time

Displacement would be how far the person walked

Time would be the time on the side

Answer:

200 N

Explanation:

F = G m1 m2 / r^2      G  m1  and m2  are constant for this scenario

             so this becomes

F is proprtional to  1/r^2    

f = 1/r^2

800 = 1/r^2     now change  r  to 2r

  F = 1/(2r)^2 = 1/4 * 1/r^2    <======shows force will be 1/4 of original , or 200N

Hello!

(i)

Recall the equation for the capacitance of a parallel-plate capacitor:
[tex]C = \frac{\epsilon_0 A}{d}[/tex]

C = Capacitance (F)
ε₀ = Permittivity of Free Space (8.85 × 10⁻¹² C²/Nm²)

A = Area of each plate (A = πr² = π(0.082²) = 0.0211 m²)
d = separation between plates (0.0013m)

Plug in the values to solve.

[tex]C = \frac{(8.85 \times 10^{-12})(0.0211)}{0.0013} = 1.4387 \times 10^{-10} F = \boxed{0.14387 nF}[/tex]

(ii)
Using the following equation:
[tex]C = \frac{Q}{V}[/tex]

Q = Charge on capacitor (C)

V = Potential difference of capacitor (V)
Rearrange to solve for charge and solve.

[tex]Q = CV\\\\Q = (1.4387\times 10^{-10}) (120) = 1.7265 \times 10^{-8} C = \boxed{17.265nC}[/tex]

**Remember that NEITHER charge OR voltage affects the capacitance; capacitance is STRICTLY determined by geometry.

(B)
We can begin by deriving the equation of the capacitance of a two-sphere spherical capacitor using the following:
[tex]C = \frac{Q}{|\Delta V|}[/tex]

We know that:
[tex]\Delta V = -\int E \cdot dr[/tex]

Let's say that the inner sphere's radius is 'r', and the outer sphere's radius is '2r'. These are our limits for the integral. The electric field of a spherical charge is given as:

[tex]E = \frac{kQ}{r^2}[/tex]

Now, we can integrate to find the potential difference between the two spheres.

[tex]\Delta V = -\int\limits^{2r}_r {\frac{kQ}{r^2}} \, dr\\\\\Delta V = \frac{kQ}{r}\left \| {{2r} \atop {r}} \right. \\\\\Delta V = \frac{kQ}{2r} - \frac{kQ}{r} = -\frac{kQ}{2r}\\\\ |\Delta V| = \frac{kQ}{2r}[/tex]

Using the equation for capacitance:
[tex]C = \frac{Q}{\frac{kQ}{2r}}\\\\C = \frac{2r}{k}[/tex]

Solve for 'r'. Recall that k = 8.99 × 10⁹ Nm²/C².

[tex]r = \frac{Ck}{2} = \frac{(0.000002)(8.99\times 10^9)}{2} = 8990 m[/tex]

Since the radius of the outer is '2r', we can easily solve for the outer sphere's radius and subtract the volume of the inner from the outer to find the volume of the region between the spheres.

[tex]V_{outer} = \frac{4}{3}\pi (17980^2) = 1354153772.92 m^3\\\\V_{inner} = \frac{4}{3}\pi (8990^2) = 338538443.23 m^3\\\\V_{outer} - V_{inner} = 1015615329.69 m^3 = \boxed{1.0156 \times 10^9 m^3}[/tex]

P = W/t

t = W/P = 11.9 x 10³ : 458.2 = 25.971 s = 0.433 min

0.433 min = 1 K

so for 5 mins = 0.433 x 5 x 1 K = 2.165 K

It's denoting to a right angle traingle

Hypotenuse we need

Apply Pythagorean theorem

Explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)

The magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.

The magnitude of two vectors is determined using the following formula;

[tex]|V| = \sqrt{V_x^2 + V_y^2}[/tex]

Let the sum of the vector = 2x + 3y

The magnitude of the vectors is calculated as follows;

[tex]|V| = \sqrt{2^2 + 3^2} \\\\|V| = 3.6 \ units[/tex]

The direction of the vectors is calculated as follows;

[tex]tan(\theta) = \frac{V_y}{V_x} \\\\tan(\theta) = \frac{3}{2} \\\\tan(\theta) = 1.5\\\\\theta = tan^{-1} (1.5)\\\\\theta = 56.3 \ ^0[/tex]

Thus, the magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.

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Answer:

It's had to be a Nuclear change since by nuclear fusion we can convert lead to Gold.

Therefore Option B. Nuclear Change is Answer.

By : Modern Einstein

Answer:

49.24, 8.68

Explanation:

y  = 50 sin 10      x = 50 cos 10  

The angle of the resultant vector, rounded to the nearest tenth is determined as 36.9⁰.

The resultant vector of the three vectors can be determined from the magnitude of the components vectors.

     Ex   = 2

     Fx   = 4

     Gx  = 2

     Ey =   2

     Fy =   1

     Gy =  3

∑Vx = Ex + Fx + Gx  = 2 + 4 + 2 = 8

∑Vy = Ey + Fy + Gy = 2 + 1 + 3 = 6

tanθ = Vy/Vx

tanθ = 6/8

tanθ = 0.75

θ = tan⁻¹(0.75)

θ =  36.9⁰

Thus, the angle of the resultant vector, rounded to the nearest tenth is determined as 36.9⁰.

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The average speed of the motorist in the second half of the journey is determined as 7 km/h.

The average speed of an object is the ratio of total distance to total time of motion.

21 = (35 + x) / 2

35 + x = 42

x = 42 - 35

x = 7 km/h

Thus, the average speed of the motorist in the second half of the journey is determined as 7 km/h.

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Answer:

A

Explanation:

insects undergo Pupal life cycle

Answer:

1.8 m/s

Explanation:

Given,

Distance ( d ) = 9 meters

Time ( t ) = 5 seconds

To find : Velocity ( v ) = ?

Formula : -

v = d / t

v = 9 / 5

v = 1.8 m/s

The frog's velocity is 1.8 m/s.

[tex] \large \sf \pmb{B) \: Neutrons \: and \: Protons}[/tex]

The velocity of particle 2 when it is 1cm away from particle 1 is determined as 62.18 m/s.

The electrostatic force between the two charges is calculated as follows;

F = (kq1q2)/(r²)

F = (9 x 10⁹ x 4.5 x 10⁻⁶ x 3.1 x 10⁻⁶)/(0.037)²

F = 91.71 N

F = ma

a = F/m

a = (91.71 N)/(0.0069 kg)

a = 13,291.2 m/s²

v² = u² + 2as

v² = 60² + 2(13,291.2)(0.01)

v² = 3865.82

v = 62.18 m/s

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Answer:

Friction

Explanation:

Friction is wasted energy in the form of heat and or destruction.....this is why combustion engines have oil lubriction ====>  reduce friction and wear

Answer:

the overall resistance increases

Explanation:

so, if a resistance is added in series to a circuit, the circuit resistance is greater

Answer:

d. they will always agree

Explanation:

although they are all on the same topic the writer will more likely agree on the same topic as they have similar ideas but different outputs on the subject.

sorry if this is wrong.

The speed of the car is 5 m/s.

Speed can be defined as the rate of change of distance.

The formula of speed is given below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the speed of the car is 5 m/s.

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Answer:

Because the amount of the field is exactly related to the strength of the electric current, the deflection increases as the current increases. That is, as the electric current increases, so does the magnetic field.

Explanation:

Since work is the change in kinetic energy, the efficiency of a machine can be stated as the percentage of the output work divided by the input work minus the work lost from to friction and heat. Multiply Eff by 100% to get the efficiency percentage.

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Answer:

1.2 m/s^2

Explanation:

acceleration =   change in velocity / change in time

                    =   6 m/s / 5 sec = 1.2 m/s^2

Answer: A force must cause a displacement in order for work to be done. A book falls off a table and free falls to the ground. Yes. This is an example of work.

Explanation:

Answer:

Cooling. Water is used by thermoelectric generating facilities (coal, natural gas, and nuclear) to make electricity through converting the water into high-pressure steam to drive turbines.

Answer:

B. It could be costly to initially switch to.

The statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.

Sun is a major source of renewable energy to the Earth. This energy serves various purposes by living organisms.

However, the energy is generated as a result of nuclear fusion, which is the combination of smaller particles to form a larger one.

Therefore, the statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.

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Answer:

f = 1.5 x 10¹⁵ Hz

Explanation:

Light is an electromagnetic wave and we know that the speed of light is a constant which is 

3 x 10⁸ m/s.

Knowing this; v = λ x f

λ = wavelength

f= frequency of light

v = seed of light

f = v/λ

f =  3 x 10⁸m/s / 2.0 x 10-⁷ m

f = 1.5 x 10¹⁵ Hz

Answer:

Since the illuminated side of the moon appears to be getting smaller in size (after the full moon), the moon is said to be in the "erosion phase". For the next 7 days, the moon will remain in an “eroded gibbous stage”.

Explanation:

vf²=vi²-2ad (vf = 0, stop)

12² = 2a.3

144 = 6a

a = 24 m/s²

24² = 2 x 24 x d

576 = 48d

d = 12 m