20. An astronaut weighs 8.00 × 102

newtons on the
surface of Earth. What is the weight of the astronaut
6.37 × 106
meters above the surface of Earth?

The x=Acos(ωt+φ) The equation describes the position of an object vibrating at the end of a horizontal spring.

Horizontal spring is a type of spring that is designed to move in a horizontal plane. It is typically used in applications that require a consistent force to be applied in a horizontal direction, such as in a suspension system. The spring's design allows it to absorb shock and reduce vibration, making it an ideal choice for applications that require a smooth, consistent motion. Depending on the type of spring, it may be able to handle varying amounts of tension, allowing for a wide range of applications. Horizontal springs can be made of various materials, such as steel, rubber, and plastic, and are designed to resist corrosion and wear. They are also used in a number of industries, including automotive, aerospace, and medical.

The equation has three variables: A, ω, and φ. A is the amplitude, which is the maximum displacement of the object from its equilibrium position. ω is the angular frequency, which is the number of radians the object moves per second. φ is the phase shift, which is the difference in time between when the object is at the equilibrium position and when it is at the maximum displacement.

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Answer:

Sample Response: The data for the first part of the experiment support the first hypothesis. As the height of the cylinder increased, the temperature of the water increased. At a greater height, the cylinder has more gravitational potential energy. This gravitational potential energy was completely converted to thermal energy, which increased the temperature of the water.

Explanation:

this the sample response from ED mechanical equivalent of heat lab.

Answer:

Sample response:

Explanation:

The data for the first part of the experiment support the first hypothesis. As the height of the cylinder increased, the temperature of the water increased. At a greater height, the cylinder has more gravitational potential energy. This gravitational potential energy was completely converted to thermal energy, which increased the temperature of the water.

The two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

In the given case, the figure shows an exaggerated view of a rifle that has been sighted in for a 91.4-meter target. Let the muzzle speed of the bullet be v0 = 427 m/s.

Now, we are required to find the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target.

It is known that the horizontal displacement of the bullet from the gun can be given by the equation: x = v0 t cosθ ..........(i)and the vertical displacement of the bullet from the gun can be given by the equation: y = v0 t sinθ - (1/2) g t^2..........(ii).

Here, t is the time of flight of the bullet and g is the acceleration due to gravity.

As the bullet hits the target, its final vertical displacement from the gun is equal to the height of the target, i.e.,y = 91.4m.Now, we can substitute equations (i) and (ii) in place of t and y in equation (ii) to get:x tanθ - (g/2v0^2) x^2 sec^2θ = 91.4 ..........(iii)This is a quadratic equation in tanθ.

On solving this equation using the quadratic formula, we get:tanθ = [-b ± √(b^2 - 4ac)]/2aWhere,a = -gx^2/(2v0^2) = -4.9x^2/v0^2, b = x, and c = -91.4.

Rearranging the terms, we get:2a tanθ^2 + b tanθ - 91.4 = 0On substituting the given values, we get:2(-4.9x^2/v0^2) tanθ^2 + x tanθ - 91.4 = 0θ1 and θ2 are the two possible angles which can be found by solving the above quadratic equation.

Using the trigonometric identity given in the hint, we can write: sin 2θ = 2 sinθ cos θ = 2 tanθ/ (1 + tan^2θ)Now, we can substitute tanθ = (-b ± √(b^2 - 4ac))/2a in the above equation to get: sin 2θ = (-4bx ± 2x√(b^2 - 4ac))/(b^2 + 4a^2)Now, we can substitute the given values to get: sin 2θ1 = -0.999sin 2θ2 = 0.998.

Thus, we get two values of sin 2θ, one is close to -1 and the other is close to 1. As sin 2θ = -1 when 2θ = -π/2 + nπ and sin 2θ = 1 when 2θ = π/2 + nπ, where n is an integer, we get two possible values of θ for each of these two cases.

Hence, the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

As one of these angles is so large that it is never used in target shooting, we only need to consider the other angle.

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The two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

In the given case, the figure shows an exaggerated view of a rifle that has been sighted in for a 91.4-meter target. Let the muzzle speed of the bullet be v0 = 427 m/s.

Now, we are required to find the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target.

It is known that the horizontal displacement of the bullet from the gun can be given by the equation: x = v0 t cosθ ..........(i)and the vertical displacement of the bullet from the gun can be given by the equation: y = v0 t sinθ - (1/2) g t^2..........(ii).

Here, t is the time of flight of the bullet and g is the acceleration due to gravity.

As the bullet hits the target, its final vertical displacement from the gun is equal to the height of the target, i.e.,y = 91.4m.Now, we can substitute equations (i) and (ii) in place of t and y in equation (ii) to get:x tanθ - (g/2v0^2) x^2 sec^2θ = 91.4 ..........(iii)This is a quadratic equation in tanθ.

On solving this equation using the quadratic formula, we get:tanθ = [-b ± √(b^2 - 4ac)]/2aWhere,a = -gx^2/(2v0^2) = -4.9x^2/v0^2, b = x, and c = -91.4.

Rearranging the terms, we get:2a tanθ^2 + b tanθ - 91.4 = 0On substituting the given values, we get:2(-4.9x^2/v0^2) tanθ^2 + x tanθ - 91.4 = 0θ1 and θ2 are the two possible angles which can be found by solving the above quadratic equation.

Using the trigonometric identity given in the hint, we can write: sin 2θ = 2 sinθ cos θ = 2 tanθ/ (1 + tan^2θ)Now, we can substitute tanθ = (-b ± √(b^2 - 4ac))/2a in the above equation to get: sin 2θ = (-4bx ± 2x√(b^2 - 4ac))/(b^2 + 4a^2)Now, we can substitute the given values to get: sin 2θ1 = -0.999sin 2θ2 = 0.998.

Thus, we get two values of sin 2θ, one is close to -1 and the other is close to 1. As sin 2θ = -1 when 2θ = -π/2 + nπ and sin 2θ = 1 when 2θ = π/2 + nπ, where n is an integer, we get two possible values of θ for each of these two cases.

Hence, the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

As one of these angles is so large that it is never used in target shooting, we only need to consider the other angle.

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Answer:

Radio waves can be considered a form of light waves since both are transverse waves (vibrate perpendicular to direction of travel).

Sound waves are longitudinal waves and require a medium (such as air) for propagation.

Answer:

atlanta

Explanation:

just took the test

The reference point in this scenario is Atlanta.

The can be described as the starting point of the entire journey.

From the given statements the family started the journey from Atlanta and then traveled to Baltimore.

Atlanta is the start point (reference point) while Baltimore is the destination (finishing point).

Thus, the reference point in this scenario is Atlanta.

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The velocity of first object after the collision is 16.62cm/s and the velocity of second object after collision is 32.783cm/s.

Given initial mass of object (m1) = 26g = 26x10-3kg

initial velocity of object (u1) = 19cm/s = 0.19m/s

mass of second object (m2) = 11g = 11x10-3kg

initial velocity of second object (u2) = 15cm/s = 0.15m/s

Let the velocity of first object after collision = v1

the velocity of second object after collision = v2

These objects are elastically collided. Then from law of conservation of momentum we can see that m1u1+m2u2 = m1v1+m2v2

Here kinetic energy is also conserved. Then

1/2m1u1^2 + 1/2m2u2^2 = 1/2m1v1^2 + 1/2m2v2^2

Then v1 = (m1-m2)/(m1+m2)×v1 + 2×m2/(m1+m2)×v2

v1 = (26-11)/(26+11)×(19) + 2×(11)/(26+11)×(15)

v1 = 7.702 + 8.918 = 16.62cm/s

Then v2 = 2×m1/(m1+m2)×v1 + (m2-m1)/(m1+m2)×v2

v2 = 2×(26)/(26+11)×(19) + (11-26)/(26+11)×(15)

v2 = 26.702 + 6.081 = 32.783cm/s

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Jose's metabolic power during this workout is 100.4 watts

To determine Jose's metabolic power during his workout,

1. Calculate the work done for one push-up: Work (W) is equal to force (F) multiplied by the distance (d). In this case, the force is Jose's weight (mass × gravitational acceleration), which is 82 kg × 9.81 m/s² = 803.22 N. The distance is 25 cm or 0.25 m. So, W = 803.22 N × 0.25 m = 200.805 J (joules).

2. Calculate the total work done for 150 push-ups: Since Jose completes 150 push-ups, the total work done is 150 × 200.805 J = 30,120.75 J.

3. Determine the time for the workout: Jose finishes his set in 5 minutes, which is 5 × 60 seconds = 300 seconds.

4. Calculate the average power: Power (P) is the work done per unit of time. So, P = 30,120.75 J / 300 s = 100.4025 W (watts).

Thus, Jose's metabolic power during his workout is approximately 100.4 watts, considering only the energetic cost of raising his body during the push-ups.

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The ball will travel more distance when projected or kicked at an angle of 35 degrees.

The range of the projectile or the horizontal distance traveled by the ball is calculated by applying the following kinematic equation as shown below.

R = ( u² sin (2θ ) ) / g

where;

The horizontal distance traveled by the ball when projected at 35 degrees is calculated as;

R = ( 13.9² x sin ( 2 x 35 ) ) / ( 9.8 )

R = 18.53 m

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Divide the distance by the speed:

(18 m) / (42 m/s) = 3/7 s ≈ 0.43 s

The wavelength of red light in the glass would be 466.67 nm. The following is an explanation of how to get there:

We know that the wavelength of light changes as it moves from one medium to another. This change in the wavelength of light is described by the equation:

λ1/λ2 = n2/n1

where λ1 is the wavelength of light in the first medium, λ2 is the wavelength of light in the second medium, n1 is the refractive index of the first medium and n2 is the refractive index of the second medium.

In this case, the red light of wavelength 700 nm is moving from air (where its refractive index is 1.0) to glass (where its refractive index is 1.5). So, we can use the above equation to calculate the wavelength of light in the glass.

λ1/λ2

= n2/n1700/λ2

= 1.5/1.0λ2

= (700 nm x 1.0) / 1.5

λ2 = 466.67 nm

Therefore, the wavelength of the red light in the glass is 466.67 nm.

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Only a small portion of the sun's initial energy strikes the earth's surface since the majority of it is absorbed as it travels through the atmosphere, mostly as infrared radiation.

Heat is produced as a result of infrared radiation's ability to shift molecular bonds, which releases energy. Even ice cubes, which are commonplace items, give out thermal energy. Thermal energy is released more readily by hotter objects. The thermal signature, also known as the heat signature, is the energy that an object emits.

The so-called greenhouse effect (see The greenhouse effect of the atmosphere above) depends on infrared radiation, which affects the Earth's thermal radiation budget globally and almost all biospheric activity. Infrared radiation also plays a significant role in heat transmission.

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The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).

Contract manufacturing or production occurs when a small business hires another company to produce its products.

This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.

However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.

Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.

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An ulterior motive refers to a hidden or underlying reason behind someone's actions or behavior that may not be immediately apparent. Among the options provided, example C) "Becky went on a date with Rick because she hoped she'd get a free meal" is an example of an ulterior motive. Option C

In this scenario, Becky's motive for going on a date with Rick is not driven by genuine interest or connection but rather the expectation of receiving a free meal. Her primary intention is to benefit from the meal rather than building a meaningful relationship or enjoying the company of her date. The ulterior motive becomes evident as Becky's focus is more on the material gain rather than the interaction itself.

On the other hand, examples A) and B) do not demonstrate ulterior motives. In example A), Johan shares a web radio site with his co-worker Sandi because he genuinely believes she would enjoy it, without any hidden agenda. In example B), Brian selflessly shares his sandwich with Marco when he realizes Marco forgot his lunch, without any expectation or hidden motive.

Example D) does not involve an ulterior motive either. Jerome's act of picking up litter and placing it in the trash may not have received acknowledgement or thanks, but the action itself does not suggest any hidden agenda or underlying motive. It can be seen as a selfless act of environmental responsibility.

In summary, ulterior motives involve hidden intentions or agendas that may not be immediately apparent. Among the given options, example C) is the one that exhibits an ulterior motive, as Becky's primary motive for going on a date is to obtain a free meal.

Option C

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The height of the plane delivering a food package to people stranded on an island is 722.2 m.

The time taken for the food package to hit the ground level is calculated as follows;

X = vt

where;

t = X/v

t = 789/65

t = 12.14 seconds

h = ¹/₂gt²

where;

h = (0.5)(9.8)(12.14²)

h = 722.2 m

Thus, the height of the plane delivering a food package to people stranded on an island is 722.2 m.

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Answer:

722.2

Explanation:

The increase in the internal energy of neon can be calculated using the equation: ΔU = (3/2)nRΔT, where ΔU is the change in internal energy, n is the number of moles of neon, R is the gas constant, and ΔT is the change in temperature. The increase in the internal energy of neon is 1,586,394 J (or 1.59 MJ).

To use this equation, we first need to determine the number of moles of neon in the tank. This can be calculated using the ideal gas law:
PV = nRT
where P is the absolute pressure, V is the volume, and T is the temperature. Rearranging this equation, we get:
n = PV/RT
Substituting the given values, we get:
n = (1.01×10^5 Pa)(653 m^3)/(8.31 J/mol·K)(293.2 K) = 2,017.6 moles
Now we can calculate the increase in internal energy:
ΔU = (3/2)(2,017.6 moles)(8.31 J/mol·K)(295.1 K - 293.2 K) = 1,586,394 J

Therefore, the increase in the internal energy of neon is 1,586,394 J (or 1.59 MJ).

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Answer: South

Explanation:

According to the right-hand thumb rule, if the thumb's direction indicates the current, then the wrapping of fingers gives the direction of the magnetic field.

In the given case, magnetic field lines around the wire are in the form of concentric circles. If the compass is placed at x, then the direction of the magnetic field line will be tangential to the concentric circles, which will point toward the south.

Give u = start velocity

        v = end velocity

v = u + at

50 = 400 + a*30

30a = -350

a = -116.67 m/\(s^{2}\)

**Why the accecleration is negative number**

Because displacement, velocity, and acceleration are VECTOR QUANTITIES.

Vector Quantity must have direction.

Answer:

Slope y2-y1/x2-x1

m=mass/volume

slope represents density(g/ml)

Explanation:

PLS MARK BRAINLIEST

Slope = Mass/ Volume = Density. The given slope represents Density.

Thus, Density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density.

Grams per cubic centimeter are a typical unit of measurement for density.  For instance, air weighs 1.2 pounds per cubic metre. In textbooks and manuals, the densities of typical solids, liquids, and gases are stated.

The volume of a body is equal to the mass multiplied by the density (M = Vd), while the volume is equal to the mass divided by the density (V = M/d). Density provides a straightforward way to determine a body's mass from its volume, or vice versa.

Thus, Slope = Mass/ Volume = Density. The given slope represents Density.

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Answer:

It allows them to write better and more comprehensible research papers. As well as being able to communicate the relevance and impact of their ideas and discoveries.

Explanation:

Explanation:

The local action of a battery is the deterioration of the battery due to currents that are flowing from and to the same electrode. ... Polarization is a defect that occurs in simple electric cells due to the accumulation of hydrogen gas around the positive electrode.

Near room temperature, the molar specific heat at constant volume is equal to approximately 3R/2 J, where R is the gas constant.

This is because at constant volume, all the energy added to the system goes into increasing the internal energy of the gas, which is directly proportional to the temperature. As the temperature increases, the gas molecules have more kinetic energy, leading to an increase in the internal energy of the system.

The molar specific heat at constant volume describes how much energy is required to raise the temperature of one mole of gas by one degree Celsius at constant volume. The value of 3R/2 J is derived from the equipartition theorem, which states that each degree of freedom of a molecule contributes 1/2 R to the internal energy of the system. For a monatomic gas with three degrees of freedom (x, y, z), the molar specific heat at constant volume is therefore 3/2 R or 3R/2 J.

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Answer:

2 to 4 hours

Explanation:

Given that,

Microbial food infections

We know that,

Food infection :

When we eat old food, uncooked, fermented food, more junk food and contaminated food then 2 to 4 hours after eating we started vomiting, headache then we affected by food infections.

So, we can say that microbial food infections are usually not seen until 2 to 4 hours after eating contaminated food.

Answer:

i dont know

Explanation:

hello

The distance covered as the crane does work is 76 m.

Recall that the work done in lifting the crane is the product of force and distance covered. In this case, we are talking about the distance through which the crane is raised. Therefore;

Work done = Fs

F = Force applied

s = Distance covered

Substituting values;

Work done/Force applied = Distance covered

Distance covered = 9,500 J/125 N

Distance covered = 76 m

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Answer:

23 cm from the mirror

Explanation:

The distance travelled by the train during the time period of 15 seconds is 156.225 m.

It is given to us that -

The initial velocity of train = 30 km/h

The final velocity of train = 45 km/h

The time taken for this acceleration of train = 15 seconds

We have to find the distance travelled by the train during this time.

Let us assume that -

The initial velocity of train = u

=> u = 30 km/h = \(30 * \frac{5}{18} = 8.33 m/s\)   ----- (1)

The final velocity of train = v

=> v = 45 km/h = \(45 * \frac{5}{18} = 12.5 m/s\)    ------- (2)

The time taken by the train = t

=> t = 15 seconds    ------- (3)

The acceleration of the train = a

=> \(a = \frac{v-u}{t}\)    ------- (4)

The distance travelled by the train = d

=> \(d = ut + \frac{1}{2} at^{2}\)    ------ (5)

Now, substituting the values of u from equation (1) and v from equation (2) in equation (4), the acceleration can be calculated as -

\(a = \frac{v-u}{t}\\= > a = \frac{12.5-8.33}{15}\\ = > a = \frac{4.17}{15} \\= > a = 0.278 m/s^{2}\)   ----- (6)

Again, substituting the values of u from equation (1), v from equation (2) and a from equation (6) in equation (5), the distance travelled by the train can be calculated as -

\(d = ut + \frac{1}{2} at^{2}\\= > d = 8.33*15+\frac{1}{2} *0.278 *15^{2} \\= > d = 124.95 + (0.139*225)\\= > d = 156.225 m\)

Therefore, the distance travelled by the train during the time period of 15 seconds is 156.225 m.

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