What is the acceleration due to gravity on that planet?

Answer:

5. An object of mass m = 2 kg, moving with velocity Vi1 = 12 m/s, collides head-on with a stationary object whose mass is m2 = 6 kg. The velocities of the objects after the collision are vj1 -6 m/s and Vr2 = 6 m/s.

Explanation:

We can use the conservation of momentum and kinetic energy to solve for the final velocities of the two objects.

Conservation of momentum:

m1v1i + m2v2i = m1v1f + m2v2f

where m1 and v1 are the mass and velocity of object 1 before the collision, and m2 and v2 are the mass and velocity of object 2 before the collision.

Plugging in the values:

(2 kg)(12 m/s) + (6 kg)(0 m/s) = (2 kg)(v1f) + (6 kg)(v2f)

Simplifying:

24 kg m/s = 2 kg v1f + 6 kg v2f

Conservation of kinetic energy:

(1/2)m1v1i^2 + (1/2)m2v2i^2 = (1/2)m1v1f^2 + (1/2)m2v2f^2

Plugging in the values:

(1/2)(2 kg)(12 m/s)^2 + (1/2)(6 kg)(0 m/s)^2 = (1/2)(2 kg)(v1f)^2 + (1/2)(6 kg)(v2f)^2

Simplifying:

144 J = 1 kg v1f^2 + 3 kg v2f^2

Now we have two equations with two unknowns (v1f and v2f). Solving for v1f in terms of v2f in the first equation:

v1f = (24 kg m/s - 6 kg v2f)/2 kg = 12 m/s - 3v2f

Plugging this into the second equation:

144 J = 1 kg (12 m/s - 3v2f)^2 + 3 kg v2f^2

Simplifying and solving for v2f:

144 J = 1 kg (144 m^2/s^2 - 72 v2f + 9 v2f^2) + 3 kg v2f^2

144 J = 144 J - 72 kg m/s v2f + 9 kg m^2/s^2 v2f^2 + 3 kg v2f^2

6 kg v2f^2 - 72 kg m/s v2f + 144 J = 0

Dividing by 6 kg:

v2f^2 - 12 kg m/s v2f + 24 J/kg = 0

Using the quadratic formula:

v2f = [12 kg m/s ± sqrt((12 kg m/s)^2 - 4(1)(24 J/kg))]/(2)

v2f = [12 kg m/s ± sqrt(96) m/s]/2

v2f = 6 kg m/s ± 2sqrt(6) m/s

v2f ≈ 9.90 m/s or v2f ≈ 2.10 m/s

Plugging these values into the equation we found for v1f:

v1f = 12 m/s - 3v2f

v1f ≈ -16.70 m/s or v1f ≈ 38.70 m/s

Since the negative velocity doesn't make physical sense, the final velocities of the two objects are:

v1f ≈ 38.70 m/s and v2f ≈ 2.10 m/s

Answer:

The speed of sound in air can be calculated using the formula:

v = fλ

where v is the speed of sound, f is the frequency, and λ is the wavelength.

Substituting the given values, we have:

v = (501 Hz) (1.10 m)

v ≈ 551 m/s

The speed of sound in air depends on the temperature of the air. The relationship between the speed of sound (v) and the temperature (T) is given by:

v = 331.4 + 0.6T

where v is in m/s and T is in degrees Celsius.

Solving for T, we have:

T = (v - 331.4) / 0.6

Substituting the value of v that we calculated earlier, we get:

T = (551 - 331.4) / 0.6

T ≈ 365 Celsius

Therefore, the air temperature is approximately 365 degrees Celsius. However, this result is much higher than the maximum possible temperature for air, which is around 2000 Kelvin (about 1727 Celsius). This suggests that there may be an error in the given values or in the calculation.

I Hope This Helps!

Answer:

To solve this problem, we can use the formula:

wavelength = (speed of sound) / frequency

We can rearrange this formula to solve for the speed of sound:

speed of sound = wavelength x frequency

The speed of sound depends on the air temperature, so we can use this formula to find the temperature:

speed of sound = 331.3 + 0.606 x temperature (in degrees Celsius)

Substituting the given values:

1.10 = (331.3 + 0.606 x temperature) / 501

Multiplying both sides by 501:

551.1 = 331.3 + 0.606 x temperature

Subtracting 331.3 from both sides:

219.8 = 0.606 x temperature

Dividing both sides by 0.606:

363.0 = temperature

Therefore, the air temperature is approximately 363.0 degrees Celsius.

The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to complete their outer electron orbital area (shell).

When both the cases are fulfilled i.e. when the enthalpy change is negative and the entropy change is positive, the reaction is said to be spontaneous and thus enthalpy and entropy are the two thermodynamic driving forces of chemical reactions.

There are several factors that affects the driving force:

1. Release of heat (exothermic reactions are driven)

2. Free energy – the change in free energy should be negative

3. Entropy – An increase in entropy drives a reaction

4. Equilibrium Shift - Removal of products drives the reaction

The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to complete their outer electron orbital area (shell).

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The number of turns determines the strength; whether the core is made of soft or hard magnetic material. Soft iron is more easily magnetized than steel. As a result, using a soft core increases the electromagnet's strength.

The magnetic field is mathematically described as a vector field. This vector field can be directly plotted as a grid of many vectors. Each vector points in the same direction as a compass and has a length proportional to the strength of the magnetic force. This technique is demonstrated by arranging many small compasses in a grid pattern and placing the grid in a magnetic field. The only difference is that a compass does not indicate field strength. Field lines are another way to represent the information contained within a vector field. We remove the grid pattern and connect the vectors with smooth lines. We are free to draw as many lines as we want.

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If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be  Decreased and the resonant frequency would be unchanged.

Frequency is the rate at which something occurs over a particular period of time or in a given sample.

Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.

It is defined as-

XL= 2πfL

Xc= 1/2πfC

So when reactances are equal we have-

XL=Xc

2πfL= 1/2πfC

f^2=1/4π^2LC

f=1/2π√LC

The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.

The impedance of a parallel LC circuit is:

Z(w)= jL w^2-w^2•/w

In a series LC circuit, when w

, the impedance becomes equal to 0.

Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.

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The mean free path of air at room temperature of 69.8 °F and an atmospheric pressure of 101325 Pa is 3.61 × 10⁻⁷ m.

The mean free path (λ) is an average distance over which a moving particle substantially changes its direction or energy, typically as a result of one or more successive collisions with other particles.

Assuming air is mostly nitrogen, we can calculate the mean free path using the following formula derived from the kinetic theory.

λ = (R × T) / (√2 × π × d² × NA × P)

λ = [(8.314 J/mol.K) × 294.15 K] / [√2 × π × (1.58 × 10⁻¹⁰ m)² × (6.022 × 10²³ mol⁻¹) × 101325 Pa]

λ = 3.61 × 10⁻⁷ m

where,

The mean free path of air at room temperature of 69.8 °F and an atmospheric pressure of 101325 Pa is 3.61 × 10⁻⁷ m.

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Answer: 1.5 m/s

Explanation:

9-3/5-1= 6/4= 3/2= 1.5

Used x2-x1/t2-t1 to get average velocity from point b to c

Answer:

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).

Explanation:

Acceleration can be calculated by dividing the change in velocity (measured in metres per second) by the time taken for the change (in seconds). The units of acceleration are m/s/s or m/s 2.

According to the information we can infer that the forces are PULLING forces, OPPOSITE FORCES, EQUAL, forces DO balance each other, the resultant force is ZERO, and there IS NO motion.

According to the information of the image, we can conclude that the forces shown above are PULLING forces because they involve pulling a rope on each side. Also, the forces shown above are OPPOSITE FORCES because they act in opposite directions, pulling the rope towards different sides.

On the other hand, the forces are EQUAL in magnitude because each side exerts a force of 1000 Newtons. Additionally, the forces DO balance each other because they have the same magnitude and act in opposite directions. The individuals on each side are exerting equal forces, resulting in a balanced system.

Finally, the resultant force is ZERO because the forces are equal in magnitude and act in opposite directions. The combined effect of the forces is no net force or resultant force and there IS NO motion because the forces are balanced, resulting in a net force of zero. In a balanced system, the objects will remain at rest or in a state of uniform motion.

Note: This question is incomplete. Here is the complete information:
Attached image

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Answer: Less than 1% of the stars that Kepler will be looking at are closer than 600 light years. Stars farther than 3,000 light years are too faint for Kepler to observe the transits needed to detect Earth-size planets.

Explanation:

At point E

The energy of a roller coaster could either be potential energy, kinetic energy or a combination of both potential and kinetic energy.

Using analogies, the energy of the roller coaster at point E can be compared to a falling fruit from a tree which falls onto a pavement and is the rolling towards the floor. Point E can be compared to the midpoint of the fall of the fruit.

At point E

In conclusion, the energy of the rollercoaster at E is both Kinetic and potential energy,

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The wavelength of the sound wave (2 sig. figs.) will be 0.67m

The wavelength is a property of a wave that tells the distance between identical points between two successive waves. The distance between one crest (or trough) of one wave and the next is the wavelength of the wave.

The wavelength of light determines its color, and the wavelength of sound determines the pitch.

Wavelength is indicated using the Greek letter lambda (λ).

λ = v/f

where v = speed or velocity of the wave

f = frequency of the wave.

λ = v/f

given v = 343m/s

f = 512 hz

λ = 343/512

λ = 0.669m

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A parallel circuit is an electrical circuit with more than one current path and all circuit components are connected between the same two sets of electrically common points. The current supplied by the source in a parallel circuit is equal to the sum of all branch currents in the circuit.

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Answer:

The equation that will express this result os

h = 0 = vy t - 1/2 g t^2    so the net height traveled by the bullet is zero

vy t = 1/2 g t^2

vy = 1/2 g t

vy = 1/2 * 9.8 * t       you could use -9.8 to indicate vy and g are in different directions

tx = sx/ vx  = 46.4 / 471 = .0985 sec    time to travel up and down to original height

th = .0985 / 2 = .0493 sec        time to reach maximum height

vy = g ty = 9.8 * .0493 sec = .483 m/s    initial vertical speed

Sy = vy t - 1/2 g t^2 = .483 * .0493 - 1.2 9.8 (.0493^^2)

Sy = .0238 - 4.9 ( .0493)^2 = .0238 - .0119 = .0119 m

Height to which bullet will rise - if the gun is aimed at this height then in .0985 seconds the bullet will fall to zero height

Check:    .483 / 9.8 =  .0493   time to reach zero vertical speed

total travel time = 2 * .0493 = .0986 sec

471 * .0986 = 46.4 m   total distance traveled by bullet

Answer:

i think its A      

Explanation:

The mass of the picture is approximately 5.19 kilograms.

The deformation in this case is called shear deformation, a type of deformation that occurs when parallel internal surfaces slide past one another. It is caused by shear stress in the structure. The shear stress (τ) is the force (F) applied divided by the cross-sectional area (A) of the nail. The shear strain (γ) is the displacement (Δx) divided by the original length (L0).

The relationship between shear stress and shear strain is given by the shear modulus (G) in the formula:

τ = G * γ

To find the weight of the picture, we need to calculate the shear stress first:

The cross-sectional area A of the nail is given by the formula for the area of a circle:

A = πr² = π(d/2)² = π(0.0015 m / 2)² = 1.767 x 10^-6 m².

The shear strain γ is given by:

γ = Δx / L0 = (1.80 x 10^-6 m) / (5 x 10^-3 m) = 0.36.

The shear stress τ can now be calculated by rearranging the formula:

τ = G * γ

=> τ = (80 x 10^9 N/m²) * 0.36 = 28.8 x 10^9 N/m²

The force F on the nail is equal to the weight w of the picture, and it can be calculated from the shear stress:

τ = F / A

=> F = τ * A = (28.8 x 10^9 N/m²) * (1.767 x 10^-6 m²) = 50.89 N.

Since weight w = m * g, where m is mass and g is the acceleration due to gravity (approximately 9.81 m/s²), we can find the mass m:

m = w / g = (50.89 N) / (9.81 m/s²) = 5.19 kg.

So, the mass of the picture is approximately 5.19 kilograms.

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Answer:

A. The nucleaus is filled with cytoplasm OR d. The nucleus is by a double layer membrane.

Explanation:

b. and c. are true and I'm certain they are true

a. I know the inside of a cell has cytoplasm but I'm not sure if the inside of a nucleus is filled with cytoplasm. And d. I'm not so sure, so it's either a or d. Hope this helps!

A meter stick has mass of 0.18 kg and balances at its center, then mass of the chain is 0.221 kg.

The principle of moments states that the sum of clockwise moments about any point must be equal to the sum of counterclockwise moments about the same point in order for a body to be in rotational equilibrium.

As the meter stick is in equilibrium, the sum of clockwise moments about the balance point must be equal to the sum of the counterclockwise moments. Clockwise moment due to the weight of the meter stick is: 0.18 kg × 9.81 m/s² × (0.5 × 100 cm) = 8.8416 Nm

Counterclockwise moment due to the weight of the chain is: m_chain × 9.81 m/s² × (100 cm - 30 cm - x) = (m_chain × 9.81 m/s²) × (70 cm - x)

8.8416 Nm = (m_chain × 9.81 m/s²) × (70 cm - x)

m_chain = 8.8416 Nm / (9.81 m/s² × (70 cm - x))

m_chain = 0.221 kg

Therefore, mass of the chain is 0.221 kg.

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Answer:

the distance moved by the box is 70.03 m.

Explanation:

Given;

mass of the box, m = 35 kg

initial velocity of the box, u = 10 m/s

frictional force, F = 25 N

Apply Newton's second law of motion to determine the deceleration of the box;

-F = ma

a = -F / m

a = (-25 ) / 35

a = -0.714 m/s²

The distance moved by the box is calculated as follows;

v² = u² + 2ad

where;

v is the final velocity of the box when it comes to rest = 0

0 = 10² + (2 x - 0.714)d

0 = 100 - 1.428d

1.428d = 100

d = 100 / 1.428

d = 70.03 m

Therefore, the distance moved by the box is 70.03 m.

Answer:

Scintillators are materials that are able to convert high energy radiation such as X or gamma-rays to a near visible or visible light. They are widely used as detectors in medical diagnostics, high energy physics and geophysical exploration (ref. Knoll).

https://web.stanford.edu › scintillators

What are scintillator materials? - Stanford: Advanced Optical Ceramics Laboratory

The only diagram that features an upright image is the convex lens one. The image is reversed in all of the other diagrams.

The convex lens, which is relatively thick in the middle and thin at the lower and upper edges, is a lens that converges light rays that travel parallel to its principal axis. Instead of curving inside, the edges are curled outward.

For the nearsighted, convex lenses are better than concave ones. Nearsightedness is treated with glasses that have concave lenses. Nearsighted individuals have an abnormally lengthy distance between their eye's lens and retina, which prevents them from seeing distant objects.

A concave lens or diverging lens diverges the light rays, whereas a convex lens or converging lens concentrates the light rays to a particular point. Based on the laws of refraction, a lens is a transparent substance.

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Answer: shrimp harvest were better farther away from the shore as fish migrated out to sea because runoff caused a change in salinity in the sound.

Explanation: i just took the test this is the correct answer

The equation for a simple harmonic motion (SHM) is given by:

Where A is the amplitude, alpha is the initial phase and the period is given by T = 2π/omega.

So, for A = 2, T = 1.5 and alpha1 = π/2. we have:

For A = 2, T = 1.5 and alpha = π/3, we have:

Now, adding both oscillations, we have:

The magnitude of the displacement of the vector A is determined as 6.2 units.

The magnitude of the displacement of the vector is calculated as follows;

| A | = √[ (x₂ - x₁ )²  +  (y₂ - y₁ )² +  (z₂ - z₁ )²]

where;

The magnitude of vector A is calculated as;

| A | = √[ (2 - 0 )²  +  (3 - 0 )² +  (5 - 0 )²]

| A | = √ (4 + 9 + 25)

| A | = √ ( 38)

| A | = 6.2 units

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The complete question is below;

If vector A represents displacement from point O(x1, y1,z1) and P(x2, Yz, Z2). find the magnitude of the displacement of vector A.

The resultant force of both forces is 15.62 N.

The Resultant of forces is a single force obtained when two or more forces are combined.

To calculate the resultant of the force, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the resultant force of both forces is 15.62 N.

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Using the parallelogram law of vectors to obtain the resultant, we have the value 16 N.

The resultant force is that force that has the same effect in magnitude and direction as two forces acting together. In this case, we have two forces , 8 N and 10 N inclined at an angle of 120 degrees

Using the parallelogram law of vectors to obtain the resultant;

R = √([8²+10²)-2×8×10cos120°]

R = √164 +80

R = 16 N

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Because there is less resistance, it is simpler to maneuver their vehicle and requires less effort.

The definition of force is physics states that when a mass-containing object is pushed or pulled, it alters its velocity. The ability to change a body's resting and moving state is actually possessed by force, an external agent. It moves and has a certain size.

Things move and, more precisely, change their motion as a result of force. The forces of magnetic forces and gravity are two examples of natural forces that humans have encountered. These two forces don't need to be in close proximity to each other to work because they act at a distance.

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Answer:Explanation:

A microscopic hair examination can also determine if a hair was forcibly removed, artificially treated or diseased. A comparison microscope can be used to compare a questioned hair to a known hair sample in order to determine if the hairs are similar and if they could have come from a common source.

When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to  4.18×10⁹ kg.

The mass of each comet int he Oort cloud is,

mass = density × Volume

volume of sphere = 4/3(π×r²) where, r = radius of the sphere

From the given,

diameter = 1 km

radius = Diameter / 2 = 1/2(D)

Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)

                                   = 4/3×(π) ×(1/8×10⁶)

Mass = density  × volume, where density = 1000 kg/m³

         = 1000  × 4/3×(π) ×(1/8×10⁶)

        = 4.18 ×10⁹ kg

When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.

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Answer:

The value is \(E = 14.12 \ N/C\)

Explanation:

From the question we are told that

     The radius of the cylinder is  \(r = 12 \ cm = 0.12 \ m\)

     The density of the charge is  \(\rho = 5.0 \ nC/m^3 = 5.0*10^{-9} \ C/m^3\)

    The position consider is  a =  5.0 cm  =  0.05 m

Gnerally from the magnitude of the magnetic field is mathematically represented as          

       \(E = \frac{\rho * s}{ 2 * \epsilon_o }\)

Here \(\epsilon_o\) is the permittivity of free space with value \(\epsilon_o = 8.85 *10^{-12} \ C/(V \cdot m)\)

=>     \(E = \frac{5.0*10^{-9} * 0.05}{ 2 * 8.85*10^{-12} }\)

=>   \(E = 14.12 \ N/C\)