One person is in a pool and is diving to a depth of 2.3m, and another person is diving to a depth of 3m. What pressure does each person receive?

Answer:

Sound travels fastest through solids. This is because molecules in a solid medium are much closer together than those in a liquid or gas, allowing sound waves to travel more quickly through it. In fact, sound waves travel over 17 times faster through steel than through air.

Answer:

A)   Wn = 90J

B)   W1 = 100J

     W2 = 10J

Explanation:

A) The net work done on the box is calculated by using the following formula:

[tex]W_n=(F_1-F_2)d[/tex]     (1)

F1 = 100N

F2 = 10N

d: distance on which the box is moved = 1m

You replace the values of the parameters in the equation (1):

[tex]W_n=(100N-10N)(1m)=90J[/tex]

The net work on the box is 90J

B) The total work done by each force is:

[tex]W_1=F_1d=(100N)(1m)=100J\\\\W_2=F_2d=(10N)(1m)=10J[/tex]

The first box does a work of 100J and the second force does a force of 10J

Answer:

Option B. 3.0×10¯¹¹ F.

Explanation:

The following data were obtained from the question:

Potential difference (V) = 100 V.

Charge (Q) = 3.0×10¯⁹ C.

Capacitance (C) =..?

The capacitance, C of a capacitor is simply defined as the ratio of charge, Q on either plates to the potential difference, V between them. Mathematically, it is expressed as:

Capacitance (C) = Charge (Q) / Potential difference (V)

C = Q/V

With the above formula, we can obtain the capacitance of the parallel plate capacitor as follow:

Potential difference (V) = 100 V.

Charge (Q) = 3.0×10¯⁹ C.

Capacitance (C) =..?

C = Q/V

C = 3.0×10¯⁹ / 100

C = 3.0×10¯¹¹ F.

Therefore, the capacitance of the parallel plate capacitor is 3.0×10¯¹¹ F.

Answer:

A) F_g = 8.9278 × 10^(-30)

B) F_e = 1.6 × 10^(-17) N upwards

C) F_m = 6.8 × 10^(-17) N downwards

Explanation:

A) Formula for gravitational force is;

F_g = m_e × g

m_e is mass of electron = 9.11 x 10^(-31) kg

F_g = 9.11 x 10^(-31) × 9.8

F_g = 8.9278 × 10^(-30) N downwards

B) Formula for Electric force is;

F_e = qe

q is charge on electron = 1.6 × 10^(-19) C

E is electric field = 100 N/C

F_e = 1.6 × 10^(-19) × 100

F_e = 1.6 × 10^(-17) N upwards

C) Magnetic force is given by the formula;

F_m = qVB

q is charge on electron = 1.6 × 10^(-19) C

V is velocity given as 8.50 × 10^(6) m/s

B is magnetic field = 50.0 μT = 50 × 10^(-6) T

F_m = 1.6 × 10^(-19) × 8.50 × 10^(6) × 50 × 10^(-6)

F_m = 6.8 × 10^(-17) N downwards

Answer:

1:281.25m

2:75m/s

Explanation:

using the equation

[tex]v^{2} = u^{2} + 2gs[/tex]

at maximum height v is zero so using that you can make s the subject of the formula

[tex]h \: max = u^{2} \div \: 2g[/tex]

so substitute the velocity 75 and the constant g-10m/s^2

as for the returning velocity we say displacement is zero since you go and come back the same distance

so

[tex]v = { + or - }u[/tex]

u is the initial speed in this case it's positive since going in the direction of gravity

Answer:

8.43 m/s²

Explanation:

Average acceleration is the change in velocity over change in time.

a = Δv/Δt

First, convert km/h to m/s.

45 km/h = 12.5 m/s

500 km/h = 138.9 m/s

Now find the acceleration.

a = (138.9 m/s − 12.5 m/s) / 15.0 s

a = 8.43 m/s²

Simple harmonic motion is important area of study because it provides information about model oscillations.

Simple harmonic motion refers to a periodic motion of a point along a straight line in which the acceleration is always towards a fixed point and is proportional to its distance from that point.

Simple harmonic motion is important in model oscillations such as wind turbines and vibrations in car suspensions.

So we can conclude that simple harmonic motion is important are of study because it provides information about model oscillations.

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Answer:

amongst the properties that makes aluminium a metal is that it is malleable and ductile...and it has high melting and boiling points

I hope that helps

Explanation:

properties of metals include

1. high melting and boiling points

2 high densities

3 malleability and ductility

Answer:

Take a look at the attachment below.

Explanation:

Current for each branch of the circuit is 2A and equivalent resistance of the circuit will be 5 ohms. The current through the battery is 6A.

An electric current is defined as a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space, which is described as the flow of electric charge through a surface or in a control volume.

Current is expressed as:

I=V/R

Where, I is the current

V is the voltage

R is the resistance

For above given information,

Since all resistors have the same resistance, it would be fine to find only 1 branch as the current would be the same for all branches.

[tex]I=V/R_1[/tex]

I= 30/15= 2 A

Equivalent resistance for parallel circuits is the sum of reciprocals of each resistor.

[tex]1/R= 1/R_1+ 1/R_2+ 1/R_3[/tex]

1/R= 1/15+ 1/15 + 1/15

1/R=3/15

R = 15/3= 5 ohms

I = V/R

Where I is current, V is voltage and R is the equivalent resistance

=> I = 30/5

=> I = 6 A

Thus, current for each branch of the circuit is 2A and equivalent resistance of the circuit will be 5 ohms. The current through the battery is 6A.

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Answer:

4.8 A

Explanation:

Voltage = current x resistance

(V = IR)

12 = I (0.5 +2)

I = 4.8 A

Answer:

Light from star would take 100 years to reach the Earth.

Explanation:

1 light year = speed of light × 1 year

1 light year = 9.46 × 10¹⁵ m

hope i helped

-lvr

Answer:

a

Explanation:

;)

Answer:

A) OA, AB, BC

B) 25m/s^2

C) see explanation

D) 25

E) Rest

Explanation:

From the Velocity time graph shown:

The positive slope = OA ; This is positive because, it is the point of uniform acceleration on the graph.

Constant slope = AB, the slope here is constant because, AB on the graph is the point of constant velocity.

-ve slope = BC

B) Acceleration of body in path OA.

Acceleration = change in Velocity / time

Acceleration = (150 - 0) / 6

Acceleration = 150/6 = 25m/s^2

C) Path AB is Parallel to the because it marks the period of constant velocity (that is Velocity does not increase or decrease during the time interval).

D) Length of BC

BC corresponds to the distance moved, that velocity / time

Velocity = 150 ; time = 6

Therefore Distance (BC) = 150/6 = 25

E.) Velocity =0 ; Hence body is at rest

Given that,

Mass of satellite = 500 kg

Gravitational force = 3000 N

We need to calculate the radius of the circular orbit

Using formula of gravitational force

[tex]F_{g}=\dfrac{GMm}{(R+h)^2}[/tex]

Where, G = gravitational constant

R = radius of earth

h = radius of the circular orbit

M = mass of earth

m = mass of satellite

Put the value into the formula

[tex]3000=\dfrac{6.67\times10^{-11}\times500\times6\times10^{24}}{(6.4\times10^{6})^2+h^2}[/tex]

[tex]h^2=\dfrac{6.67\times10^{-11}\times500\times6\times10^{24}-3000\times(6.4\times10^{6})^2}{3000}[/tex]

[tex]h=\sqrt{\dfrac{6.67\times10^{-11}\times500\times6\times10^{24}-3000\times(6.4\times10^{6})^2}{3000}}[/tex]

[tex]h=5073460.35\ m[/tex]

[tex]h=5.1\times10^{6}\ m[/tex]

(II). We need to calculate the speed of the satellite

Using formula of velocity

[tex]v=\sqrt{\dfrac{GM}{r}}[/tex]

Put the value into the formula

[tex]v=\sqrt{\dfrac{6.67\times10^{-11}\times6\times10^{24}}{5.1\times10^{6}}}[/tex]

[tex]v=8858.36\ m/s[/tex]

[tex]v=8.8\times10^{3}\ m/s[/tex]

[tex]v=8.8\ km/s[/tex]

(III). We need to calculate the period of the orbit

Using formula of  time period

[tex]T=2\pi\sqrt{\dfrac{r^3}{GM}}[/tex]

Put the value into the formula

[tex]T=2\pi\sqrt{\dfrac{(5.1\times10^{6})^3}{6.67\times10^{-11}\times6\times10^{24}}}[/tex]

[tex]T=3617.40\ sec[/tex]

[tex]T=1.00\ hr[/tex]

Hence, (I). The radius of the circular orbit is [tex]5.1\times10^{6}\ m[/tex]

(II). The speed of the satellite is 8.8 km/s.

(III). The period of the orbit is 1.00 hr.

Answer:

the answer is B. Combustion

Answer: C.) Neptune

Explanation:

The Gravitational Potential Energy (GPE) of a body is calculated using the formula :

GPE = mgh

Where m = mass of the body

g = acceleration due to gravity

h = distance above a surface

Mass = 10kg

h = 2m

Using the formula :

GPE of lamp on Earth: g = 9.8

GPE = 10 × 9.8 × 2 = 71.8J

GPE of lamp on Mercury: g = 3.59

GPE = 10 × 3.59 × 2 = 196J

GPE of lamp on Mars: g = 3.7

GPE = 10 × 3.7 × 2 = 74J

GPE of lamp on Neptune: g = 14.07

GPE = 10 × 14.07 × 2 = 281.4J

GPE of lamp on Uranus: g = 9

GPE = 10 × 9 × 2 = 180J

GPE of lamp on Pluto: g = 0.42

GPE = 10 × 0.42 × 2 = 8.4J

Neptune has the highest gravitational potential energy as the value of acceleration due to gravity acting on objects is highest on Neptune.

Answer:

The correct option is;

C) Neptune

Explanation:

The force of gravity is given by the equation;

[tex]F_g = G\dfrac{m_1m_2}{r^2} = m_2 \times g[/tex]

Where:

m₁ = Mass of the planet

m₂ = Mass of the body = 10 kg

r = The distance between the body and the planet = 2 m

g = Gravitational acceleration on the planet

G = Gravitational constant

Given that the potential energy, PE = m × g × h

We have that,

[tex]PE = m_2 \times g \times (r + 2) = G\dfrac{m_1m_2}{r^2} \times (r + 2) \approx G\dfrac{m_1m_2}{r^2} \times r = G\dfrac{m_1m_2}{r}[/tex]

Therefore, the gravitational potential energy is directly proportional to the acceleration of gravity, such that the body will have the most gravitational potential energy in the planet with the highest acceleration due to gravity which is Neptune with acceleration due to gravity of 14.07 m/s².

Answer:

Horizontal component = 241 N

Vertical component =  287 N

Explanation:

Given:

Force =  F = 375 N

Referring to diagram attached, the force F is making an angle

theta = 20+30 = 50 with the horizontal.

Horizontal component = F*cos(theta) = 375*0.64278 = 241 N

Vertical component = F*sin(theta) = 375*0.76604 = 287 N

The vertical component of the force is  187.5 N  and the horizontal component of the force is  324.8 N.

A vector is a any quantity that has both magnitude and direction. We can resolve any vector into its vertical and horizontal components. The vertical component of a vector such as force is F sin θ while the horizontal component of the force is F cos θ.

Given the following information from the question;

F =  375 N

θ = 30.0°

Vertical component(Fy) = 375 N sin 30.0° = 187.5 N

Horizontal component (Fx) = 375 N cos 30.0° = 324.8 N

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Answer:

The weight of barbell acting on a weight lifter is 80N.

Explanation:

Answer:

37.5m/s

Explanation:

a=(v-u)/t

0.5 = (v - 31) / 12.5

v - 31 = 0.5 x 12.5

v - 31 = 6.25

V = 6.25 + 31

v = 37.25m/s

Answer:

79%

Explanation:

Data obtained from the question include the following:

Input temperature = 100°C

Output temperature = 22°C

Efficiency =.?

Next, we shall convert celsius temperature to Kelvin temperature.

This is illustrated below:

T(K) = T (°C) + 273

Input temperature = 100°C

Input temperature in Kelvin = 100°C + 273 = 373K

Output temperature = 22°C

Output temperature in Kelvin = 22°C + 273 = 295K

Finally, we shall determine the efficiency of the locomotive as follow:

Efficiency = output /input x 100

Output = 295K

Input = 373K

Efficiency =?

Efficiency = output /input x 100

Efficiency = 295/373 x 100

Efficiency = 79%

Therefore, the efficiency of the locomotive is 79%.

Answer:

The answer is .209

Explanation:

I am unable to show the work for this as I did it online but I can assure you it is correct

Answer:

Writing of a story that ends with the character becoming poor with no friends.

Explanation:

There was a young girl who believed that all things revolve around her. She had the money, the power, the family, and the beauty to ensure she was the center of attention. She would always be the main focus, everywhere she goes.

But there came a time when she had a major misfortune. Her family had come upon unfortunate times. They are going to lose their money and may even be jailed for embezzlement. It was true that she had no idea what her parents had done but she was also so familiar with the 'princess' lifestyle that she did not know how to downgrade her lifestyle. And so, when this misfortune happened, she was unsure how to react. She also assumed that her friends will be there for her. Little did she know everyone was just after her wealth and influence and had nothing to do with genuine friendship.

In a few months, their family position moved from top to bottom, which everyone found hard to accept. She had to maintain her status while at the same time try to live up with that without losing her circle. But as rumors spread fast and she wasn't able to spend the way she would normally send, she eventually experienced a dwindled friend circle. And in about a year, she had lost all of her friends, couldn't even convince someone to stay with her faithfully and worse of all, she was also poor, the very status she had degradingly taunted other people with.

Answer:

The impacts of modern communication in our socio economic life includes;

a) Staying connected

b) Carrying out business transaction

c) Exceeding boundaries

d) Overcoming weakness and disability

e) Reaching out to a wider audience

2. It is possible to make long distant call to our relatives in other part of the country by direct distance dialing (DDD)

Explanation:

The telecommunication service called direct distance dialing allows a caller to make a call to a location outside the area where they are calling without the assistance of an operator. To make a direct dialing call, a subscriber or caller will be required to include extra prefix digits to the original number than for numbers within hers or his particular local area code.

Answer:In the case of burning wood, stored potential energy (in the form of chemical energy) in the log is released due to heating by other excited atoms. This chemical reaction is called combustion and requires oxygen. Combustion changes the potential chemical energy into kinetic energy in the form of heat.

Explanation:

Answer:

In the case of burning wood, stored potential energy (in the form of chemical energy) in the log is released due to heating by other excited atoms. This chemical reaction is called combustion and requires oxygen. Combustion changes the potential chemical energy into kinetic energy in the form of heat.

Last guy copied off my computer when i left room

Explanation:

Answer:

The correct option is;

3) 10·√3 kgwt

Explanation:

The parameters given are;

Mass of body, m = 10 kg

Direction of applied force = Horizontal

Angle of inclination of the rope with the vertical, θ = 60°

The component of the tension in the rope equivalent to the force is given by the relation;

T·sin(θ) = F

The component of the rope tension still under gravitational pull  is given by the relation;

T·cos(θ) = m·g

Therefore, we have;

[tex]\dfrac{T \cdot sin(\theta)}{T \cdot cos(\theta)} = \dfrac{F}{m \cdot g}[/tex]

Which gives;

[tex]\dfrac{sin(\theta)}{cos(\theta)} = tan(\theta) = \dfrac{F}{m \cdot g}[/tex]

Therefore;

F = tan(θ) × m×g

Where:

g = Acceleration due to gravity

tan(θ) = √3

m = 10 kg

∴ F = 10·√3 × g = 10·√3 kg-wt.

Answer:

90,720 words

Explanation:

The different ways in which a given number of n things or items can be arranged where all of the items are taken at the same time is known as ⁿPₙ which is the same as n factorial, n!

Therefore, the number of alphabets in the word AAAABBCCD = 9

Hence, the number of different words will exclude words where the 4 A, 2 Bs, and 2 Cs are together, and include the number of ways where the the grouped letters can be arranged among themselves as follows

9! × 4! /(4! × 2! × 2!) = 90,720 words

Answer: 390, right

explanation: The net force is just the sum of all of these forces acting on an object. ... This equation is the sum of n forces acting on an object. The magnitude of the net force acting on an object is equal to the mass of the object multiplied by the acceleration of the object, as shown in this formula.

the net force acting on the buggy is 390 and The net force is pointing to the is right

The following information should be considered:

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Answer:

Average speed is calculated by dividing the total distance that something has traveled by the total amount of time it took it to travel that distance.

Speed is how fast something is going at a particular moment. Average speed measures the average rate of speed over the extent of a trip. Average speed is usually applied to vehicles like cars, trains, and airplanes. It is often measured in miles per hour (mph) or kilometers per hour (kph).

Average speed is used in all kinds of fields, including physics, astronomy, and transportation.

Let’s slow down and start with an example. If you were to drive 200 miles in two hours, you could calculate your average speed by dividing the total distance (200 miles) by the total amount of time it took (two hours), giving an average speed of 100 miles per hour. (Which means the next thing you’re going to have to calculate is how to pay the speeding ticket.)

Average speed might seem like a basic, obvious concept, but for much of history, people didn’t have much of a practical need for such a calculation (plus there were no speedometers on horses). In the 1600s, physicist and astronomer Galileo Galilei tried to calculate the speed of light by measuring how long it would take a person to see a light from across a field. It didn’t work (light is way too fast to be measured this way), but Galileo did come up with the formula distance/time = average speed. (Others probably discussed the concept before that, but Galileo usually gets the credit.)

Average speed should not be confused with instantaneous speed, which measures the speed of an object at a specific instant in time. Instantaneous speed is a physics term. In everyday life, we just call this speed, which is what the speedometer in your car tells you—exactly how fast you’re going at that moment. Speed is sometimes confused with velocity, but they are not the same. In physics, velocity measures something’s speed relative to its direction of motion.

In practical situations, average speed usually comes up in the context of transportation, such as the average speed of a train

Explanation:

hope i helped

-Zylynn

Answer: Average speed is calculated by dividing the total distance that something has traveled by the total amount of time it took it to travel that distance

Explanation:

Answer:

Índice de refracción entre los dos medios = 1,43

Refractive index between the two media = 1.43

Explanation:

El índice de refracción entre dos medios se explica mejor entendiendo primero la refracción.

Cuando las olas se mueven de un medio a otro, a menudo experimentan un cambio de dirección con respecto al medio en el que viajan.

Por lo tanto, el índice de refracción se expresa como el seno del ángulo de incidencia dividido por el seno del ángulo de refracción.

El seno del ángulo de incidencia y la refracción utilizados en esta fórmula de índice de refracción se miden respectivamente con respecto a la vertical.

En esta pregunta Ángulo de incidencia = 35° a la horizontal = (90° - 35°) a la vertical = 55° a la vertical.

Ángulo de refracción = 35°

Índice de refracción entre los dos medios

= (Sin 55°) ÷ (Sin 35°)

= 0.8192 ÷ 0.5736

= 1.428 = 1.43 a 2 d.p.

¡¡¡Espero que esto ayude!!!

English Translation

The light passes from medium A to medium B at an angle of 35 ° with the horizontal border between the two. If the angle of refraction is also 35 °, what is the relative refractive index between the two media?

Solution

The refractive index between two media is best explained by first understanding refraction.

When waves move from one medium to another, they often experience a change in direction with respect to the medium in which they are travelling.

Hence, refractive index is expressed as the sine of angle of incidence dibided by the sine of angle of refraction.

The sine of angle of incidence and refraction used in this refractive index formula are both respectively measured with respect to the vertical.

In this question,

Angle of incidence = 35° to the horizontal = (90° - 35°) to the vertical = 55° to the vertical.

Angle of refraction = 35°

Refractive index between the two media

= (Sin 55°) ÷ (Sin 35°)

= 0.8192 ÷ 0.5736

= 1.428 = 1.43 to 2 d.p.

Hope this Helps!!!

The two resistors in parallel behave like 3 ohms.

I = V / R

Current = 12/3 = 4 Amps

Answer:

The correct option is;

Hire an environmental company to study the wetland and give recommendations of how to prevent flooding

Explanation:

Due to the environmental importance of wetlands which are important plant and animal habitats and a source of filtration of reserve of water moving into other surface water bodies and underground aquifers, serving also as a buffer zone to prevent erosion and flooding during heavy rain storms, proper, detailed and well informed environmental considerations are required

As such an environmental consultant services is needed for site analysis, appraisal and recommendation will be required to fast track the process of obtaining a permit.

Answer:

A

Explanation: