An arrow is shot at a target 20 m away. The arrow is shot with a horizontal velocity of 80 m/s.

How long is the arrow in the air for?____s

How far does the arrow drop as it approaches the target?____m

Answer:

Explanation:

Given:

d = 33.9 cm

f = 8.57

___________

F - ?

G - ?

The focal length of the lens:

F = d*f / (d + f) = 33.9*8.57 / (33.9 + 8.57) ≈ 6.84 cm

The magnification of the object:

M = f / d = 8.57 / 33.9 ≈ 0.25

Answer:

Find the answer in the explanation.

Explanation:

Given that the international space station (ISS) is in a low earth orbit, just 400km above the surface. And at this altitude, the acceleration due to gravity has a value of 8.69.

A.) Since the radius of the earth is equal to 6400 km. At it to 400km

The radius of the orbit = 6400 + 400

The radius = 6800 km.

Where orbital speed = sqrt ( g × r )

Orbital speed = sqrt ( 6800 × 8.69 )

Orbital speed = 243.09 km/h

B.) Orbital period acceleration to Kepler third law of planetary motion state that:

The square of the period is directly proportional to the cube of the radius.

T^2 = (4π^2 /GM) r^3

T^2=(4π^2/ 6.67×10^11 × 6.0 × 10^24)r^3

T^2 = (4π^2/ 4.002^36) × 6800^3

T^2 = 9.865×10^-36 × 6800^3

T^2 = 3.10 × 10^-15

T = 5.57 × 10^-8 hours.

Convert the hours to minutes by multiplying it by 60

T = 3.4 × 10^-6 minutes.

Since the radius of the earth is equal to 6400 km. At it to 400km

The radius of the orbit = 6400 + 400

The radius = 6800 km.

Where:

The speed of the ISS is 243.09Km/h.

Part B:

The orbital period (T) of the ISS in minutes is :

Convert the hours to minutes by multiplying it by 60

T = 3.4 × 10^-6 minutes.

The orbital period (T) of the ISS in minutes is 3.4 × 10^-6 minutes.

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Single Wire moves down, loop rotates left.

A single-wire system is a method of transmitting power or signals using only a single conductor. This is in contrast to the usual use of a pair of wires to provide a complete circuit, or an electrical cable containing (at least) two conductors for this purpose.

A single-wire transmission line is not the same as a single-wire earth return system. This is beyond the scope of this article. The latter system relies on reverse current flow through earth, using earth as a second conductor between earth terminal electrodes. A single-wire transmission line does not have a second conductor of any kind. 

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Answer:

7

Explanation:

The tank division's total displacement from the base is approximately 75.9 miles at a bearing of W67.4S.

To calculate the total displacement of the tank division, we need to find the vector sum of the two legs of their journey.

We can see that the tank division travelled 30 miles to the west (W30) and then 70 miles to the north (N70), so their total displacement is the vector sum of these two legs.

To add vectors, we need to break them down into their horizontal and vertical components.

For the first leg, the tank division travelled 30 miles to the west, so its horizontal component is -30 (since it's to the left of the base) and its vertical component is 0 (since it didn't travel up or down).

For the second leg, the tank division travelled 70 miles to the north, so its horizontal component is 0 (since it didn't travel left or right) and its vertical component is 70 (since it travelled directly north).

Now we can add these components to get the total displacement:

Horizontal component = -30 + 0 = -30

Vertical component = 0 + 70 = 70

So the total displacement is a vector with a horizontal component of -30 and a vertical component of 70.

We can use the Pythagorean theorem to find the magnitude of this vector:

|displacement| = √((-30)² + 70²) ≈ 75.9 miles

And we can use trigonometry to find the direction of this vector:

\(\theta = tan^{-1}\dfrac{70} { -30}\)

θ ≈ -67.4°

So the tank division's total displacement from the base is approximately 75.9 miles at a bearing of W67.4S.

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Answer:

7 Electrons

Explanation:

Assuming that final energy level is that same as valence shell, we first need to find how many of the electrics will be used to fill the ones before it.

Electron shell capacities are as follows :

First shell/Ebergy level: 2 electrons

Seconds shell/energy level : 8 electrons

Third shell /energy level :8 electrons

The first two shells total to 10, and the first three shells total to 18. Since chlorine (17) fills more than 2 shells but less that 3, the third one is its final energy level. We find the number in the final energy level by subtracting the 10 in the full first two. 2+8=10

17-10=7

Chlorine has 7 electrons on its final energy level.

Hope this helped!

Answer: the answer is 6kg.

Explanation:

Mass= force divided by acceleration, which would be 12 divided by 2.

Answer:

the answer is d the world  trade organization

Explanation:

Given data:

* The starting salary of the Luke in the new company was,

* The salary raise given to Luke each year is,

(a). The salary of the Luke after 10 years is,

Thus, the salary of the Luke after 10 years is 98000 dollars.

(b). After the t years,

Thus, the salary of the Luke after t years is 53000+4500t .

During the Vietnam War, journalists often referred to the military's press briefings as "five o'clock follies" because they felt that the information provided was often incomplete or misleading.

The two choices that are correct are:

•Called the military's press briefings "five o'clock follies"

•Did not witness any combat on a firsthand basis.

. Additionally, due to the dangers of the conflict, many journalists did not have the opportunity to witness combat on a firsthand basis.

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Answer:

walk

move

run

hurry

zoom

dash

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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The magnitude of the force acting at point O is determined as 240 N.

The magnitude of the force at point O is calculated by applying the principles of moment as shown below.

sum of the clockwise moment = sum of the anticlockwise moment

F₀(2 m + 2m + 2m) = 260 N (2m + 2 m ) +  200 N ( 2 m )

where;

6F₀ = 260 (4) + 200(2)

6F₀ = 1,440

F₀ = 1440 / 6

F₀ = 240 N

Thus, the magnitude of the force acting at point O is determined as 240 N.

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The initial mechanical energy of the car is equal to its final energy from this, we can find the speed of the car. The final velocity of the car at the time it hits the ground is 16.17 m/s.

Mechanical energy of an object is the sum of its kinetic and potential energy. According to law of conservation of energy initial mechanical energy of a moving object is equal to the final mechanical energy.

Given initial speed of the car u = 12 m/s

height from the surface = 6 m

g = 9.8 m/s²

According to conservation of energy,

1/2 mu² + mgh = 1/2 mv²

u²/2 + gh = v²/2

12²/2 + (9.8 m/s² × 6 m) = v²/2

v = 16.17 m/s.

Therefore, the final speed of the car at the time it hits the ground is 16.17 m/s.

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Answer:

A. Reversibility

Explanation:

Because if you don't progress then you do the opposite, you reverse.

Sorry if my explanation is confusing it made sense in my head i just didn't know how to put it.

hope this help. ;)

Answer:

A. Reversibility

Explanation:

1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point ,  the heat of fusion of the substance is 548 joules .

Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.

Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams  of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.

q = m×∆Hf

q: Total change in heat energy (in Joules)

∆Hf: Heat of fusion of substance (in Joules per gram)

m: Mass of substance (in grams)

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Answer:

25 volts

Explanation:

voltage = current × resistance

\(v = i \times r \\ v = 0.5 \times 50 \\ v = 25v\)

Answer:

C

gravity and inertia

Explanation:

Answer:

c :)

Explanation:

The kinetic energy of the object in terms of the mass and the velocity is,

Thus, by changing the mass or the velocity, the value of kinetic energy will also change.

As the kinetic energy is directly proportional to the mass and velocity.

Thus, the kinetic energy increases with the increase in the value of mass and velocity.

Hence, the fourth option is the correct answer.

Two objects are held close together. When they are released, they move toward one another. The conclusion is supported by this evidence is  the objects have opposite charges.

An electric charge is a physical property that causes matter to experience a force when in close proximity to other electrically charged matter. There are two types of electric charges: positive and negative. Protons, which are positively charged, and electrons, which are negatively charged, are subatomic particles that make up matter.

In general, the protons and neutrons in the nucleus of an atom have a net positive charge, while electrons, which orbit the nucleus, have a net negative charge. The charges of these subatomic particles are indicated by the symbols "p" for proton, "n" for neutron, and "e" for electron.

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A triangle is the symbol used to indicate a fulcrum in a lever, a triangle has three sides and three vertices.

A fulcrum is a pivot that has a base and a point that serves as a balance for  a lever.

Basically a lever is a simple machine that is a beam with two sides pivoted to fulcrum.

A lever has Load, Effort and the last part is fulcrum

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A cart at the end of a spring undergoes simple harmonic motion of amplitude A = 10 cm and frequency 5.0 Hz. Assume that the cart is at x = −A when t = 0.

(a) T = 0.2 sec

(b) x(t) = − (10 cm)cos(10π) s⁻¹ t

(c) x(0.050) = 0

(d) x(0.100) = 10 cm

Simple harmonic motion is described as the periodic movement of a point down a straight line with an acceleration that is always toward a fixed point on that line and is proportional to that point's distance from the moving point.

Given that,

frequency (f) = 5.0 Hz

Amplitude (A) = 10 cm

(a) As we know,

T = 1/f

or, T = 1/5 Hz

or, T = 0.2 sec

(b) Because the expression for the cart position is at  x= −A when t=0 , this means that the function which describes the position of the cart is a cosine function because, cos(0)=1.

Notice that the form of the equation that describes the position of a vibrating object is as follows :

x(t) = A cos (2Π/T) × t

Substitute for the values of T=0.2s ; A=10 cm and because x = −A when t = 0,then the function will have a negative sign

x(t) = −(10 cm)cos(10π) s⁻¹ t

(c) the position of the cart at 0.050 s:

x(0.050) = −(10 cm)cos(10π) s⁻¹ × (0.050)

x(0.050) = −(10 cm) (cos π/2)

x(0.050) = 0

(d) the position of the cart at 0.100 s:

x(0.100) = −(10 cm)cos(10π) s⁻¹ × (0.100)

x(0.100) = −(10 cm) (cos π)

x(0.100) = 10 cm

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The final velocity of the projectile is 313.5 m/s.

Speed is the directional pace of an item in motion as an illustration of its rate of exchange in the role as determined from a specific frame of reference and as measured by using way of a selected general of time.

Calculation:-

height = 50 m

initial velocity  = 10 m/s

g = nine.8 m/s

V² = u² +2aS

V² = 10² + 2×nine.8 × 50

V² = a hundred × 19.6 × 50

V²   = 98000 m/s

V = 313.five m/s

Average velocity is defined because the change in role or displacement (∆x) divided by the time durations (∆t) in which the displacement takes area. The common pace may be effective or negative relying upon the signal of the displacement. The SI unit of average speed is meters in keeping with 2nd (m/s or ms-1).

Velocity is calculated via dividing your displacement (a vector pointing out of your initial position for your final function) thru the entire time; the average pace is calculated through manner of dividing the overall distance you traveled by using the total time.

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Answer:

A

Explanation:

did the test

Answer:

The correct answer is option A: 3.00 × 10^(-11) m.

Explanation:

To find the wavelength of a gamma ray with a frequency of about 10^19 s^(-1), we can use the equation:

wavelength = speed of light / frequency

Given:

Speed of light (c) = 3.00 × 10^8 m/s

Frequency (f) = 10^19 s^(-1)

Substituting the values into the equation:

wavelength = (3.00 × 10^8 m/s) / (10^19 s^(-1))

To simplify the expression, we can rewrite the denominator as (1 / 10^(-19)) s:

wavelength = (3.00 × 10^8 m/s) / (1 / 10^(-19)) s

To divide by a fraction, we multiply by its reciprocal:

wavelength = (3.00 × 10^8 m/s) × (10^(-19) s)

Applying the properties of exponents, we can add the exponents when multiplying with the same base:

wavelength = 3.00 × 10^(-11) m

Therefore, the wavelength of the gamma ray is approximately 3.00 × 10^(-11) m.

The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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The Ceres is (a).The largest asteroid identified to date is correct option.

With a diameter of around 590 miles (940 km), Ceres is the biggest asteroid between Mars and Jupiter. It is regarded as a minor planet, like Pluto, and was found in 1801 by Giuseppe Piazzi. Ceres is made of rock and ice, and due to its low density, it is likely that it contains a substantial amount of water ice inside.

The NASA Dawn spacecraft visited Ceres in 2015 and orbited the dwarf planet for more than three years, gathering useful information and taking stunning pictures of it.

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Answer:

243.83 Hz

Explanation:

Given the following :

Recall :

When source is stationary and observe is in motion:

Moving away from the source :

Observed frequency f₀ = f(v-v₀/v)

Moving towards the source :

f₀ = f(v+v₀/v)

Hence ;

v₀ = 12.1 m/s ; f of trumpeter = 262 Hz ; speed of sound (v) = 337m/s

f(v+v₀/v) = 262(v-v₀/v)

f = 262(v-v₀/v) / (v+v₀/v)

f = 262(v-v₀/v) * (v / v+v₀)

f = 262 (v-v₀ / v+v₀)

f = 262 ((337 - 12.1) / (337 + 12.1))

f = 262 (324.9 / 349.1)

f = 262 (0.93067888857)

f = 243.83

f = 244Hz

Answer:

The moment of inertia of disc about own axis is 1 kg-m².

Explanation:

Given that,

Mass of ring m= 1 kg

Moment of inertia of ring at diameter \((I_{r})_{d}=1\ kg\ m^{2}\)

The radius of metallic ring and uniform disc both are equal.

So, \(R_{r}=R_{d}\)

We need to calculate the value of radius of ring and disc

Using theorem of perpendicular axes

\((I_{r})_{c}=2\times (I_{r})_{d}\)

Put the value into the formula

\((I_{r})_{c}=2\times1\)

\((I_{r})_{c}=2\ kg\ m^2\)

Put the value of moment of inertia

\(MR_{r}^2=2\)

\(R_{r}^2=\dfrac{2}{M}\)

Put the value of M

\(R_{r}^2=\dfrac{2}{1}\)

So, \(R_{r}^2=R_{d}^2=2\ m\)

We need to calculate the moment of inertia of disc about own axis

Using formula of moment of inertia

\(I_{d}=\dfrac{1}{2}MR_{d}^2\)

Put the value into the formula

\(I_{d}=\dfrac{1}{2}\times1\times2\)

\(I_{d}=1\ kg\ m^2\)

Hence, The moment of inertia of disc about own axis is 1 kg-m².