A pendulum is made by letting a 2.0-kg object swing at the end of a string that has a length of 2.1 m. The maximum angle the string makes with the vertical as the pendulum swings is 30°. What is the speed of the object at the lowest point in its trajectory?

Answer:

The magnitude of the point charge is 3.496 x 10⁻⁶ C

Explanation:

Given;

radius of the surface, r = 14.3 m

magnitude of the potential, V = 2.2 kV = 2,200 V

The magnitude of the point charge is calculated as follows;

[tex]V = (\frac{1}{4\pi \epsilon _0} )(\frac{Q}{r} )\\\\V = \frac{KQ}{r} \\\\Q = \frac{Vr}{K} \\\\Q = \frac{2,200 \times 14.3}{9\times 10^9} \\\\Q = 3.496 \times 10^{-6} \ C\\\\Q = 3.496 \ \mu C[/tex]

Therefore, the magnitude of the point charge is 3.496 μC

Answer:

Option a

Explanation:

Answer:

A. [tex]1.88\times 10^{-11}\,F[/tex].

Explanation:

By definition of Electric Capacitance, the capacitance of the system ([tex]C[/tex]), in farads, is described by the following formula:

[tex]C = \frac{q}{V}[/tex] (1)

Where:

[tex]q[/tex] - Electric charge, in coulombs.

[tex]V[/tex] - Voltage, in volts.

If we know that [tex]q = 9.4\times 10^{-10}\,C[/tex] and [tex]V = 50\,V[/tex], then the capacitance of the system is:

[tex]C = \frac{9.4\times 10^{-10}\,C}{50\,V}[/tex]

[tex]C = 1.88\times 10^{-11}\,F[/tex]

The correct answer is A.

Answer:

Năng lượng tăng gấp đôi.

Explanation:

Như chúng ta biết

E = nhf

Năng lượng tỷ lệ thuận với f

Thay đổi về tần số sẽ tương đương với những thay đổi tương tự về Năng lượng

Nếu tần số trở thành hai lần, thì năng lượng sẽ trở thành 2 lần.

Answer:

  τ = 36 10⁻³ s

Explanation:

The charge of a circuit Rc is given by the expression

          q = q₀ (1 - [tex]e^{-t/ \tau }[/tex])

          q / q₀ = 1 - e^{-t/  \tau }

in this exercise they indicate that

          q / q₀ = ½

for a time t = 25 10⁻³ s

we substitute

          ½ = 1 - [tex]e^{- 25 \ 10^{-3} / \tau}[/tex]

          e^{- 25 \ 10^{-3} /  \tau} =  1 -½

         - 25 10⁻³ /τ = ln 0.5

         -25 10⁻³ / ln 0.5 = τ

         τ = 36 10⁻³ s

Answer:

For every action, there is an equal and opposite reaction

Explanation:

Newton's Third Law of Motion states "To every action, there is an equal and opposite reaction; action and reaction forces act on different bodies".

Option C: Later in the day, less power is developed in lifting each box

Answer:

Later in the day, less power is developed in lifting each box.

power= workdone÷time

Answer:

the answer is  tree

Explanation:

because tree is made up of woodly barks and not atoms so we can say that tree is the answer. u may wander, why not hear or baloon cause heat is a gas state which is made up of atom and baloon contains gall like helium which is also made up of atom.

hope this helps u

Answer:

Velocity ratio of a lever is 3 means distance travelled by effort is 3 times the distance travelled by the load. Efficiency of the pulley is 60%means 40% of the energy is lost in the machine due to the friction

Answer:

The correct answer is - none of the above.

Explanation:

Cell membranes or plasma membranes of the cell are composed mainly of fatty-acid-based lipids and proteins. Membrane lipids are of two types majorly, glucolipids, phospholipids, and sterols (generally cholesterol).

Sphingolipids are also a structural component of the cell membrane that helps in segregation into distinct membrane domains. Glycolipids are present on the surface of the plasma membrane.

Answer:

Q = 7837500 Joules.

Explanation:

Cho các dữ liệu sau đây;

Khối lượng = 25 kg

Nhiệt độ ban đầu = 25°C

Nhiệt độ cuối cùng = 100°C

Nhiệt dung riêng = 4,18 * 10³ = 4180 J/kg.K

Để tìm nhiệt lượng cần thiết;

Về mặt toán học, nhiệt dung được cho bởi công thức;

[tex] Q = mcdt[/tex]

Ở đâu;

Chuyển đổi:

Nhiệt độ ban đầu = 25°C đến Kelvin = 273 + 25 = 298 K

Nhiệt độ cuối cùng = 100°C đến Kelvin = 273 + 100 = 373 K

dt = T2 - T1

dt = 373 - 298

dt = 75 Kelvin

Thay các giá trị vào phương trình, ta có;

[tex] Q = 25 *4180*75[/tex]

Q = 7837500 Joules.

Answer:

Efficiency can be increase by using rollers in conjunction with the inclined plane. Wedge. The wedge is an adaptation of the inclined plane. It can be used to raise a heavy load over a short distance or to split a log

Answer:

5

Explanation:

The light intensity may be defined as the strength of the light or the magnitude of its brightness that a source of light can produce.

The light threshold is the minimum intensity of the light that our eye can detect and the ability to adapt to darkness.

In the context, Daniel wishes to find if can notice the difference in the intensity of the light when he add 5 candles to the set of 50 candles.

He noticed that when he added 5 candles, he could notice the difference in the intensity and when he added less than 5 candles to the set of 50 candles he could not detect.

Thus, the difference threshold for Daniel to detect the change in the intensity of the light is 5 candles.

Answer:

Explanation:

Hooke's Law is a linear representation that, in equation form, looks like this:

F = -kΔx where F is force, k is the spring constant, and Δx is the displacement of the spring when a Force is applied to it in the form of a mass hanging on the end of it. We need to use the equation to solve for the spring constant, k. Doing this by filling in the values we were given:

4 = -k(-12) the 12 is negative because the mass hangs below the point of equilibrium. This gives us that

k = 1/3. Now we'll use that in the next equation where we need to solve for displacement:

6 = -1/3(Δx) and

Δx = -18 cm

Answer:

a) 72 europeos viajan en el avión, b) 132 pasajeros viajan en el avión, c) Hay una proporción de 3 africanos a 5 americanos en el avión.

Explanation:

a) Si 30 % son asiáticos, 15 % africanos y 25 % americanos, entonces 30 % son europeos. La cantidad de europeos en el avión es:

[tex]x = 0.3\cdot (240)[/tex]

[tex]x = 72[/tex]

72 europeos viajan en el avión.

b) El total de asiáticos y americanos en el avión se determina mediante la siguiente expresión:

[tex]x = (0.3 + 0.25)\cdot (240)[/tex]

[tex]x = 132[/tex]

132 pasajeros viajan en el avión.

c) En primer lugar, se calculan los números de africanos y americanos en el avión:

Africanos

[tex]x_{1} = 0.15\cdot (240)[/tex]

[tex]x_{1} = 36[/tex]

Americanos

[tex]x_{2} = 0.25\cdot (240)[/tex]

[tex]x_{2} = 60[/tex]

Y la razón de viajeros africanos a viajeros americanos es:

[tex]r = \frac{r_{1}}{r_{2}}[/tex]

[tex]r = \frac{36}{60}[/tex]

[tex]r = \frac{3}{5}[/tex]

Hay una proporción de 3 africanos a 5 americanos en el avión.

Answer:

• Go Native. Use native plants in your landscape. ...

• Reduce Chemical Use. Use fewer chemicals around your home and yard, and make sure to dispose of them properly - don't dump them on the ground!

• Manage Waste. ...

Explanation:

There are some easy ways to conserve water to help protect our aquifers, watersheds, and ground water. First, we can all conserve water, by not running the water while we brush our teeth and making sure we fix all leaking or dripping faucets. Another was to conserve water is to collect rain water to use to water your plants. Speaking of plants, you can also plant more zeroscape type landscapes that require less water. We can also update our shower heads and toilets to be low-flow and more efficient. Can't afford a new toilet? Simply add a brick to your tank and this will cut down on the water used for every flush.

Answer:

P = 2.33 kW

Explanation:

Given that,

Mass, m = 200 kg

It is raises in the well from a depth of 7 m in 6 s.

W e know that,

Power = work done/time

Put all the values,

[tex]P=\dfrac{mgh}{t}\\\\P=\dfrac{200\times 10\times 7}{6}\\\\P=2333.3\ W[/tex]

or

P = 2.33 kW

Hence, the power of the engine is 2.33 kW.

Answer:

uniformly accelerated motion

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Answer:

equal to; less than

Explanation:

newtons 3rd law says that all forces have equal and opposite reactions so it would be equal to for the first one. but the acceleration depends on the mass of the object and because the truck is more massive, the acceleration would be slower, or less than.

Answer:

4.88 K.

Explanation:

From the question given above, the following data were obtained:

Number of mole (n) = 5 moles

Pressure (P) = 1 atm

Volume (V) = 2 L

Gas constant (R) = 0.082 atm.L/Kmol

Temperature (T) =?

The temperature of the gas can be obtained by using the ideal gas equation as illustrated below:

PV = nRT

1 × 2 = 5 × 0.082 × T

2 = 0.41 × T

Divide both side by 0.41

T = 2 / 0.41

T = 4.88 K

Therefore, the temperature of the gas is 4.88 K.

Answer:

Rest and motion are the relative terms.

Explanation:

When the position of the object does not change with respect to time, the object is said to be at rest.

When the position of the object changes with respect to time, the object said to be in motion.

let there is a tree, the tree is at rest with respect to the person which is standing near by the tree.

But when the person is in outer space and able to see the tree, the tree is in motion as the earth is in  motion.

A person sitting in the train which is moving is at rest when observed by the other person sitting in the train but he is in motion with respect to a person which is standing on the platform.  

Answer:

180 Newton(N)

Explanation:

force =mass *acceleration

=60 * 3

=180 kgm/s^2

=180 N

Answer:

2. the volume of the square are the same

Answer:

the volume of the squares are the same

Explanation:

Answer:

the pulley system is very efficient

Explanation:

Given;

load, L  = 250 N

distance moved by the load, a = 4.5 m

distance moved by the effort, e = 2.5 m

let the force or effort applied = F

Apply the principle of conservation of energy;

F x e = L x a

F = (L x a) / e

F = (250 x 4.5) / 2.5

F = 450 N

The efficient of the pulley system;

E = Output force / Input force

E = (450 x 2.5) / (250 x 4.5)

E = 1 = 100%

Therefore, the pulley system is very efficient

Answer:

pretty sure its A hope this helped

Answer:

The force of friction that is caused when using an inclined plane causes the mechanical advantage of the inclined plane to be less than that of the lever.

Explanation:

Answer:

Increase in frequency constantly

Explanation:

This concept can be explained by Doppler shift as per which any form of disturbance spreads out spherically from its point of origin. If the source of sound wave is stationary and the receiver is also stationary, then the frequency remains the same but if the source is moving, then the disturbance caused is closer on one side and distant on the other side thereby producing shorter wavelength in direction the source is moving and longer wavelength in the opposite direction.

(a) 3.2 x 10²s

(b) 0.9 m/s (S 13 E)

(c) 2.9 x 10²m

The sketch illustrating the scenario has been attached to this response.

As shown;

The fish swims due east with a velocity [tex]V_{x}[/tex] = 0.2m/s

The river current has a velocity [tex]V_{y}[/tex] due South = 0.9m/s

The resultant of the velocity is V

The width of the river is x = 64m

(a) To calculate how long it took the fish to get across the river, we know that velocity is the rate of change in distance, therefore we can use the relation;

V = [tex]\frac{d}{t}[/tex]      -------------(i)

Where;

V = velocity of the fish = [tex]V_{x}[/tex] = 0.2m/s

d = distance from the start to the end = width of the river = x = 64m

t = time taken to move for that distance

Make t subject of the formula in equation (i);

t = [tex]\frac{d}{V}[/tex]

Substitute the values of d and V into the equation;

t = [tex]\frac{64m}{0.2m/s}[/tex]

t = 320 s

t = 3.20 x 10²s

Therefore, the time taken for the fish to get across the river is 3.20 x 10²s

(b) The resulting vector of the fish is V whose magnitude is the algebraic sum of vectors  [tex]V_{x}[/tex] and  [tex]V_{y}[/tex], and direction is given by θ. i.e

The magnitude of the resulting vector is;

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

|V| = [tex]\sqrt{(0.2)^2 + (0.9)^2}[/tex]

|V| = [tex]\sqrt{(0.04) + (0.81)}[/tex]

|V| = [tex]\sqrt{(0.85)}[/tex]

|V| = 0.92m/s

|V| ≅ 0.9m/s

The direction of the resulting vector θ and is given by;

tan θ = [tex]\frac{V_y}{V_x}[/tex]

tan θ = [tex]\frac{0.9}{0.2}[/tex]

tan θ = 4.5

θ = tan⁻¹ ( 4.5)

θ = 77.47° South of East.

θ  ≈ 77.5° South of East.

Subtracting θ = 77.5° from 90° gives its value East of South

i.e

90 - 77.5 = 12.5° East of South

This can also be written as S12.5°E

Approximating to the nearest whole number gives S 13 E

Therefore, the resulting velocity of the fish is 0.9m/s in the direction S13°E

(c) When the fish arrives on the opposite bank, its distance from being at the point directly across from where it started is the product of the velocity of the river current and the time taken by the fish to get across the river. This point is equivalent to k as shown in the diagram.

Therefore;

distance = velocity of river current x time taken

distance = 0.9m/s x 3.20 x 10²s

distance = 2.88 x 10²m

distance ≅ 2.9 x 10²m

Notice that the velocity of the river current is used since that's the velocity of the fish on the y-axis.

Answer:

Kinetic energy will be converted into electric potential energy if the stationary particle is positive.