Part A

Determine the period of a 1.9-m-long pendulum on the Moon, where the free-fall acceleration is 1.62 m/s2.

Express your answer to two significant figures and include the appropriate units.

Part B

Define the equation for the period of an object attached to a spring. Assume the mass of the object is m and a spring constant is k.

Part C

A 500-kg ball at the end of a 30-m cable suspended from a crane is used to demolish an old building.

If the ball has an initial angular displacement of 10 ∘ from the vertical, determine its speed at the bottom of the arc.

A pendulum swings with amplitude 0.02 m and period of 2.0 s .

Part D

What is its maximum speed?

Express your answer to two significant figures and include the appropriate units.

Part E

The position of a vibrating object changes as a function of time as x=(0.17m)cos(?s?1)t.

Write an expression for the velocity as functions of time.

Express your answer in terms of t and appropriate constants.

Answer:

it's D

Explanation:

its on edge

To give a long answer to your question, the specific heat capacity of a substance is the amount of heat energy required to raise the temperature of one gram of the substance by one degree Celsius. Therefore, a substance with a high specific heat capacity requires a lot of heat energy to raise its temperature by one degree Celsius, while a substance with a low specific heat capacity requires relatively less heat energy to achieve the same temperature increase.

Now, coming to your specific question, a substance that cools off quickly would have a low specific heat capacity. This is because a substance with a high specific heat capacity would require a lot of heat energy to raise its temperature, and once heated, it would also take longer to cool down. On the other hand, a substance with a low specific heat capacity would require relatively less heat energy to raise its temperature and would cool off quickly once the source of heat is removed.

To summarize, the specific heat capacity of a substance determines how quickly it can absorb or release heat energy. A substance with a low specific heat capacity cools off quickly, while a substance with a high specific heat capacity takes longer to cool down.

A substance that cools off quickly has a low specific heat capacity. This means it requires less energy to change its temperature, causing it to heat up or cool down faster compared to a substance with a high specific heat capacity.

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The Earth’s magnetic field is generated by the B. flow in the liquid outer core.

The core of the Earth is composed of two parts: a solid inner core and a liquid outer core. The outer core is made up of liquid iron and nickel that is in a state of constant motion, this motion is driven by heat from the Earth’s core, and as the liquid metal moves, it creates electrical currents.

These electrical currents, in turn, create a magnetic field around the Earth. The magnetic field protects the Earth from the solar wind, a stream of charged particles that is constantly emitted from the sun. Without the magnetic field, the solar wind would strip away the Earth’s atmosphere and make it impossible for life to exist.

The Earth’s magnetic field is not constant, and it can change over time. It is also subject to occasional reversals, where the north and south magnetic poles switch places. Despite these fluctuations, the magnetic field is a crucial part of the Earth’s environment and has a significant impact on life on our planet. So therefore the correct answer is B. flow in the liquid outer core.

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I would say the answer is 3 because by falling technically the ball would be kind of moving in the air. Plus potential energy is when for example a soccer ball isnt moving

The voltage of the circuit is 13 - 8j volts.

The circuit has a current of 5 + j^3 amps, which can be written as 5 + 3j + j^2.

The resistance is 3 - j^2 ohms, which can be written as 3 - 2j + j^2. The voltage of the circuit is calculated by multiplying the current by the resistance.

In this case, the voltage is 5 * 3 - 5j + 3j^2 - 2j^3 + j^4.

The imaginary unit j is defined as the square root of -1.

This means that j^2 = -1 and j^3 = -j.

Substituting these values into the expression for the voltage, we get 15 - 7j + j^2 - j^3 + j^4.

Simplifying the expression, we get 15 - 7j + 1 - j - 1 = 13 - 8j.

Therefore, the voltage of the circuit is 13 - 8j volts.

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With the given information on Marcia who is an electrical engineer who is testing the voltage of a circuit, the voltage of the circuit is 12 - 7j volts.

The voltage of the circuit is given as

voltage = (current) x (resistance)

First, multiply the complex current and resistance values together using the distributive law and the fact that the square of the imaginary unit j is -1.

(current) x (resistance) = (5+j3) x (3-j2)

= 5 x 3 + 5 x (-j2) + j3 x 3 + j3 x (-j2)

= 15 - j10 + 3j - 3

Simplify this expression, we get:

(5+j3) x (3-j2) = 12 - 7j

Plug this value into the voltage formula

voltage = (current) x (resistance) = (12 - 7j) volts

Therefore, the voltage of the circuit is 12 - 7j volts.

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Question is incomplete, find the complete question below

Marcia is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. She uses the following formula to calculate voltage: voltage = (current) (resistance) The circuit she tests has a current of5+j3 amps and a resistance of3-j2 ohms. What is the voltage of the circuit? 0 1 1 +Jl volts 0 21 +.l volts 0 21 'Jl volts 0 11—.lvolts

This inequality tells us that the right side of the equation must be less than or equal to zero for the projectile to escape the Earth's gravitational pull.

To find the equation for the velocity of the projectile (v) with respect to height (x), we can differentiate the given equation with respect to time (t) using the chain rule.

Given:

x'' = - (gR²)/(x²)

Let's denote the derivative with respect to time.

Differentiating both sides of the equation with respect to time (t), we have:

x'' = d²x/dt²

v' = d²x/dt²

Now, apply the chain rule. Let u = x(t).

v' = d²x/dt² = d(du/dt)/dt = d²u/dt²

Now, we need to find the expression for d²u/dt²

Since x = u, we can rewrite the original equation as:

u'' = - (gR²)/(u²)

Substituting this equation into our previous expression:

v' = d²u/dt² = - (gR²)/(u²)

Therefore, the equation for the velocity of the projectile (v) with respect to height (x) is:

v' = - (gR²)/(x²)

Now, let's find an inequality for the escape velocity. At a certain height xmax, the velocity is v = 0. To escape the Earth's gravitational pull, the projectile must have a velocity greater than or equal to zero at an infinite height (as it approaches infinity). This means that the velocity should be non-negative at all heights.

v ≥ 0

Substituting the equation for v' we derived earlier:

(gR²)/(x²) ≥ 0

Since g, R, and x² are positive values, divide both sides of the inequality by -1 to change the direction of the inequality:

(gR²)/(x²) ≤ 0

This inequality tells us that the right side of the equation must be less than or equal to zero for the projectile to escape the Earth's gravitational pull.

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Temperature is increased the pressure also increases due to fast movement of molecules because of more energy.

The temperature of the gas is directly proportional to the pressure. Faster moving particles will collide with the walls of the container that put force on the wall which leads to increase in pressure.

So we can conclude that temperature is increased the pressure also increases due to fast movement of molecules because of more energy.

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Answer:

8

Explanation:

According to the 10% law of energy transfer,

only about 10% of energy will be transferred to

the successive level from the previous trophic

level. Therefore according to this law carrot will

have the highest energy level as it is present at

the lowest trophic level.

Then it will transfer 10% of its consumed energy

to the rabbit and then snakes will get 10%

energy of rabbit after consuming it. Therefore if

the energy amount is given it can be calculated

by dividing it by 10 for upper trophic level.

So if a rabbit receives 80 calories of energy

from eating carrots it will pass only 8

(80/10=8) calory of energy on to a snake.

Therefore the correct answer is 8 calories

4.55 seconds

Given, Speed = 330.0 m/s

To find the time, it will take for the sound of thunder to travel 1.5 km, we have to apply the formula for speed :

\(speed = \frac{distance}{time} \)

This implies that:-

\(time = \frac{distance}{speed} \)

So, Let's get started with the steps -

Step 1- Convert 1.5 km to metres.

\(1.5 \: km \: \\ = > \: 1.5 \times 1000 \\ = > 1500 \: m\)

Step 2- Now, to get time, substitute the values you got now in "time=distance/speed"

\(t = \frac{1500}{330}\)

\( => t = 4.55 \: seconds\)

Therefore, the answer is 4.55 seconds

✍️ By Benjemin360 ☺️

Answer:

Explanation:

speed of sound in 24 degrees celsius

345.48m/s

hence 345.48m/s x 3s = 1036.44m

Answer:

The influx of Ca2+ triggers the release of neurotransmitters stored in synaptic vesicles (B) by exocytosis.

hope this helps.

Answer:

C. Time

Explanation:

Answer: time because i am so good

Explanation:

The air pressure calculated using barometric formula at an elevation of 2000 meters is 0.068 MPa if the air pressure at sea level is 0.1 MPa.

Air pressure =  0.1 MPa

Elevation height = 2000 meters

The barometric formula is used to calculate the air pressure at an elevation of 2000 meters. Here the atmospheric pressure decreases when the elevation increases. The barometric formula is:

P = P₀ * exp(-M * g * h / (R * T))

P = pressure of altitude

P₀ = pressure at sea level

M = molar mass of Earth's atmoshpere = 0.02896 kg/mol

g =  acceleration due to gravity = 9.8 m/s²

h =  altitude height = 2000 m

R = ideal gas constant = 8.314 J/(mol·K)

T =  temperature of the air at a constant.

Substituting the values:

P = 0.1 MPa * exp(-0.02896 kg/mol * 9.8 m/s² * 2000 m / (8.314 J/(mol·K) * T))

T = 293K

P = 0.1 MPa * exp(-0.02896 kg/mol * 9.8 m/s² * 2000 m / (8.314 J/(mol·K) * 293 K))

P = 0.1 MPa * exp(0.2929808 / (8.314 J/(mol·K) * 293 K))

P =  0.1 MPa * exp(0.2929808 / 2436.002))

P  = 0.068 MPa

Therefore, we can conclude that the air pressure at an elevation of 2000 meters is 0.068 MPa.

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The distance from point A to the point at which the patrolman overtakes the car is 2700 meters.

The distance from point A to the point at which the motorcycle patrolman overtakes the car is 2700 meters. Here's a step-by-step breakdown of the calculations:

Step 1:

Distance covered by the car in 2 seconds:

Distance = Speed * Time

Speed = 120 km/hr = (120/3600) m/s = (1/30) m/s

Time = 2 seconds

Distance = (1/30) m/s * 2 s = 2/30 km = (2/30) * 1000 m = 66.67 m

Step 2:

Calculating the time taken by the motorcycle patrolman to reach a speed of 150 km/h:

Using the equation v = u + at

Initial velocity (u) = 0 m/s

Final velocity (v) = 150 km/h = (150000/3600) m/s = (125/3) m/s

Acceleration (a) = 6 m/s^2

(125/3) m/s = 0 m/s + 6 m/s^2 * t

Solving for t:

t = (125/3) / 6 sec = (125/3) * (1/6) sec = 125/18 sec

Step 3:

Calculating the distance covered by the motorcycle patrolman in the first (125/18) seconds:

Using the equation s = ut + (1/2)at^2

Initial velocity (u) = 0 m/s

Acceleration (a) = 6 m/s^2

Time (t) = 125/18 sec

s = 0 * (125/18) + (1/2) * 6 * ((125/18)^2) = 1562.5/9 m

Step 4:

Calculating the time taken by the motorcycle patrolman to overtake the car:

Let the time taken be t sec

Speed of the car = 120 km/hr = (100/3) m/s

Distance covered by the car in time t = (100/3) m/s * t

Distance covered by the motorcycle patrolman in time t = Distance covered by the car in time t + Distance covered by the motorcycle patrolman in the first (125/18) sec

Time taken = (Distance to be covered) / (Speed of the motorcycle patrolman)

= (Distance covered by the motorcycle patrolman in time t - Distance covered by the motorcycle patrolman in the first (125/18) sec) / [(150000/3600) m/s]

= [(100/3) * t + 1562.5/9 - 1562.5/9] / [(150000/3600)] sec

= [(100/3) * t] / [(150000/3600)] sec

= (1/45) * t sec

The two times should be equal, so we can set up the equation:

(100/3) * t + 1562.5/9 = (1/45) * t

Solving for t:

(3200/45) * t + 1562.5/9 = t

[(3200/45) - (1/45)] * t = 1562.5/9

t = (1562.5 * 45) / (9 * 3199) sec

Step 5:

Distance from point A to the point at which the motorcycle patrolman overtakes the car:

Distance = Distance covered by the motorcycle patrolman in the first (125/18) sec + Distance covered by the motorcycle patrolman in time t

Distance = 1562.5

/9 + [(100/3) * t + 1562.5/9 - 1562.5/9] m

= 1562.5/9 + (100/3) * (1562.5 * 45) / (9 * 3199) m

= 1562.5/9 + 10425/3199 m

= [(1562.5 * 3199) + 10425] / 28791 m

= 2700 m

Therefore, the distance from point A to the point at which the motorcycle patrolman overtakes the car is 2700 meters.

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Iron is made up of atoms, the thermal expansion of solid iron is caused by C. the breaking of bonds between the iron atoms.

Thermal expansion  can be described as the tendency of matter to change in shape, volume, and area in response to a change in temperature.

It should be noted that the temperature  can be seen as a monotonic function of the average molecular kinetic energy of a substance , however When a substance is heated, the Kinetic energy that is present in the molecules will increases then they can start to vibrating more and usually maintain a greater average separation and this process will result to expoansion because bond will be broken.

Therefore, option C is correct.

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Answer: 8

Explanation: 200/25=8

Therefore, the electric field (magnitude only) at a distance of 8.0 cm from the wire is approximately 3.24 x 10^4 N/C.

The electric field of a long, thin wire can be determined by Coulomb's law. Coulomb's Law states that the electric force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

For a long, thin wire, the electric field is given by;

E = λ/2πε₀r

Where;

λ = linear charge density = 91 µC/m,

ε₀ = permittivity of free space = 8.85 x 10^-12 C^2/Nm^2

r = distance from the wire = 8.0 cm = 0.08 m.

Substitute the given values into the formula to find the electric field;

E = (91 x 10^-6)/(2 x π x 8.85 x 10^-12 x 0.08)

E≈ 32433.8 N/C

E≈ 3.24 x 10^4 N/C.

Electric field refers to the force per unit charge that one object exerts on another object due to the electric charge present in the objects. It is a vector quantity and is measured in newtons per coulomb (N/C).

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Work = Force x distance

Force = 250 N

distance = 2 m

Replacing with the values given:

W = 250 N x 2 m = 250 kg m / s^2 x 2m = 500 kgm^2/s^2 = 500 J

1 N = 1 kgm/s^2

1J= 1 kg m^2 /s^2

The light intensity at points A, B, and C can be expressed in terms of I0, which represents the initial intensity of the light.

At point A, the light intensity is equal to I0, as it is at the same distance from the source as the reference point.

At point B, the light intensity decreases with distance from the source. Let's say point B is twice as far away from the source compared to the reference point.

In this case, the light intensity at point B would be (1/2)² times I0, which simplifies to (1/4) times I0.

At point C, the light intensity also decreases with distance from the source. If point C is three times as far away from the source compared to the reference point, the light intensity at point C would be (1/3)² times I0, which simplifies to (1/9) times I0.

In conclusion, the light intensity at point A is I0, at point B is (1/4)I0, and at point C is (1/9)I0.

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False, Fiber optic cable is thinner and lighter than unshielded twisted pair (UTP) cable.

Fiber optic cables are made up of strands of glass or plastic fibers that transmit data through light pulses. They are immune to electromagnetic interference and can transmit signals over longer distances than UTP cables, which are made up of copper wires.The content loaded Fiber optic cable is used in high-speed internet connections because it can transmit large amounts of data at very high speeds. Additionally, fiber optic cables are more secure than UTP cables because they are much more difficult to tap into without being detected. Therefore, the statement that fiber optic cable is thicker and heavier than UTP cable is false.

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Answer:

A

Explanation:

Positive slope lines have a left to right ascent. A negative slope is present on lines that descend from left to right. Consequently, a diagonal line with a positive slope (/) would be to the right. Thus, option A is correct.

The height difference between two tile corners that is on the diagonal. A hidden value is used to determine if a tile can be seeded on, passed by a cart, or have the corner of the pavement tile lowered.

When two variables have a positive slope, it means that they are positively correlated; that is, when x rises, y rises as well, and when x falls, y falls as well.

A line on a line graph that has a positive slope rises as the line advances from left to right.

Be aware that a line's positive slope causes it to slope upward from left to right. Remember that a line with a negative slope descends from left to right. Keep in mind that a line has no slope when it is horizontal.

Therefore, positively sloping diagonal general shape of the graph line.

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Answer: Most aerobic and strength training programs cause your muscles to contract and tighten. So stretching after you exercise helps optimize the range of motion about your joints and boosts circulation.

Hope this helps!

Answer:

I can't understand you're que... plzz write in a correct way..

a ) The player's speed afterward if the ball is thrown at 14.5m/s relative to the ground = 1.87 m / s

b ) If the ball is thrown at 14.5m/s relative to the player, V = 1.86 m / s

a ) According to law of conservation of momentum,

Initial momentum = Final momentum

( 72 + 0.44 ) 1.95 = ( 0.44 * 14.5 ) + ( 72 V )

141.26 = 6.38 + 72 V

V = 134.88 / 72

V = 1.87 m / s

b ) Initial momentum = Final momentum

( 72 + 0.44 ) 1.95 = [ 0.44 ( 14.5 + 1.95 ) ] + 72 V

141.26 = 7.24 + 72 V

V = 134.02 / 72

V = 1.86 m / s

Therefore,

a ) V = 1.87 m / s

b ) V = 1.86 m / s

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Answer:

I can't read it if you zoom in its still blurry

Explanation:

read the question to me and I'll try to answer it thx

A driver have to stop for a school bus when the red lights are flashing and there is no barrier between his/her vehicle and the bus.

Traffic rules are rules that are expected to follow by the road users for the safety of everyone using the road.

For instance, when the red lights are flashing , it simply means to stop, while the green light means that the vehicle can continue to move, and yellow light means to be at alert to move.

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Answer:

6

.40 recharge

1.0v

45.0v