QUESTION 17

IF a particular galaxy has a total mass of 10 to the 47 grams and the average star in that galaxy has a mass of 10 to the 33
grams, approximately how many stars are there in that galaxy? Give your answer to the nearest whole power of 10 by
entering the exponent only.

Answer:

B. The ball will move with a constant speed.

Explanation:

Assuming a ball is traveling through space at a velocity of 25 m/s. The statement which best describes the motion of this moving ball if there is no external force applied to the ball is that, the ball will move with a constant speed in accordance with Newton's first law of motion.

Newton's first law of motion states that, an object or body will continue to be at rest or experience a uniform motion in a straight line at constant speed provided there's no action of an external force. Thus, unless compelled to change its state by an external force, a body will continue to be at rest or experience a uniform motion in a straight line.

The Newton's first law of motion is also known as the law of inertia; which is the tendency of a body to be at rest unless acted upon by an external force.

To raise the automobile with a hydraulic lift, a force of approximately 19,000 N must be applied to the piston.

In a hydraulic lift, the principle of Pascal's law is applied, which states that pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container. By utilizing this principle, a smaller force applied to a smaller piston can generate a larger force on a larger piston.

In this scenario, the force needed to lift the automobile can be calculated using the formula:

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

where \(F_{1}\) is the force applied to the piston, \(A_{1}\) is the area of the piston, \(F_{2}\) is the force generated on the larger piston (required to lift the automobile), and \(A_{2}\) is the area of the larger piston.

Given the radius of the shaft (small piston) as 0.08 m and the radius of the piston as 0.01 m, we can calculate the forces applied and generated as follows:

\(A_{1} = \pi (0.08)^2\\A_{2}= \pi (0.01)^2\)

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

Simplifying the equation and substituting the values, we can solve for \(F_{2}\):

\(F_{2}=\frac{F_{1}A_{2}}{A_{1}}\)

Plugging in the values, we find:

\(F_{2}=\frac{F_{1} \pi (0.01)^2 }{ \pi (0.08)^2} \\F_{2}= \frac{F_{1}\times 0.0001}{0.0064} \\F_{2}= 0.015625 \times F_{1}\)

Given that the mass of the automobile is 1520 kg and the acceleration due to gravity is \(9.8 \hspace m/s^{2}\), we can equate \(F_{2}\) to the weight of the automobile:

\(F_{2}= mg\\0.015625\times F_{1}= 1520\times 9.8\)

Solving for \(F_{1}\), we find:

\(F_{1}\approx \frac{1520\times 9.8}{0.015624} \\F_{1} \approx 19072 \hspace N\)

Therefore, a force of approximately 19,000 N must be applied to the piston in order to raise the automobile using the hydraulic lift.

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Answer:

Defined below

Explanation:

Climate change is simply the long term change in the average weather patterns that are associated with the local, regional and global climates of the earth. Climate change is usually driven by human activities like burning of fossils; natural processes like cyclic ocean patterns; external factors like volcanic eruptions.

We cannot see the tidal disruption of a star by a black hole with masses greater than about 10^8 solar masses because of the phenomenon known as the event horizon.

The event horizon is the boundary around a black hole beyond which nothing, including light, can escape its gravitational pull. It is determined by the mass of the black hole, with larger black holes having larger event horizons.

When a star gets too close to a black hole, the tidal forces exerted by the black hole's gravity can stretch and deform the star. This process is known as tidal disruption. As the star gets closer to the black hole, the gravitational forces acting on the star's different parts become stronger, causing the star to experience tidal forces that can tear it apart.

In the case of black holes with masses greater than about 10^8 solar masses, their event horizons are extremely large. As a result, the tidal forces acting on a star approaching such a massive black hole are distributed over a larger area, reducing the strength of the tidal forces near the event horizon.

Because the tidal forces are weaker near the event horizon of a massive black hole, the disruption and stretching of the star are not as pronounced as they would be with a smaller black hole. The star is more likely to cross the event horizon without being torn apart completely, and once it crosses the event horizon, it becomes hidden from our view. This means that the direct observation of the tidal disruption process becomes impossible.

Therefore, the limited visibility of the tidal disruption of a star by a black hole with masses greater than about 10^8 solar masses is primarily due to the size of the black hole's event horizon. The larger event horizon reduces the strength of tidal forces near the black hole, allowing the star to potentially pass through the event horizon intact and preventing us from directly observing the disruptive process.

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Answer:

Ionic bonds are formed between cation and anions . A cation is formed when a metal ion loses valence electron while an anion is formed when a non-metal gains a valence electron.

The temperature decreases 5°C in one hour and then decreases another 3°C in the next hour fits the description of weather.

This is defined as the atmospheric condition of a place within a short period of time and is influenced by a lot of factors in the environment.

In this scenario, the temperature was taken every hour which is a short period of time and is thereby denoted as weather.

On the other hand, climate is the condition of a place over a long period of time which is usually up to a year which is why weather fits the definition provided.

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0.1727 A is I1 (0) the magnitude of the current through the resistor R1 just after the switch is closed.

As the switch has been open for a long time when at time t = 0, the capacitor is initially uncharged. Therefore, we can assume that the capacitor is equivalent to an open circuit just before the switch is closed.

Let's apply Kirchhoff's Voltage Law (KVL) to the loop on the left side of the circuit diagram below when the switch is closed for the first time.

ƩV = 0V + (-V) + IR1 + IR3 = 0,

where IR1 and IR3 are the voltage drops across R1 and R3, respectively, with the direction indicated in the circuit diagram. The voltage drop across the battery (V) is negative because it is in opposition to the direction of the loop's assumed direction of circulation.

Therefore, the voltage drop across R1 (IR1) must be the difference between V and the voltage drop across R3 (IR3).

IR1 = V - IR3 = V - (IR4) = V - (I(R2 + R4)) = V - (I2R2 + I2R4),

where I2 is the current through R2 and R4.

Let's apply Kirchhoff's Current Law (KCL) to the circuit node indicated in the circuit diagram below. It shows that the current flowing into the node is equal to the current flowing out of it.

I1 = I2 + I3 + I4, where I1, I2, I3, and I4 are the currents through R1, R2, R3, and R4, respectively.

Since the circuit's total resistance is (R1 + R2 || R3 + R4) ohms, the circuit's total capacitance is C farads. I = C(dv/dt) is the capacitance current through the capacitor. Because the switch has just been closed, the initial voltage across the capacitor is 0V, and there is no current through the capacitor. The equation governing the growth of voltage across the capacitor is:

(V - IR1) / (R1 + R2 || R3 + R4) = C(dv/dt) dv/dt = (V - IR1) / C(R1 + R2 || R3 + R4)

Let's first obtain the value of I3. According to KCL, I3 = (V - IR1) / R3, where V is the battery voltage, I1 is the current through R1, and R3 is the resistance of R3.

Since V = 24V, R1 = R2 = 73Ω, R3 = 62Ω, and R4 = 100Ω, we get I3 = (24 - I1*73) / 62. We can now use the KCL formula to compute I2 and I4. Because the capacitor has an initial charge of 0V and behaves like an open circuit, we can set I = 0A.

Now, I = I1 = I2 + I3 + I4. Therefore, we have: I2 = I1 - I3 - I4 = I1 - (24 - I1*73)/62 - I1*100/146.

According to the given information, C = 71μF and the switch has just been closed. The initial voltage across the capacitor is 0V, and there is no current through the capacitor.

Hence, using dv/dt = (V - IR1) / C(R1 + R2 || R3 + R4), we can find the rate of change of voltage across the capacitor.

To compute I1 (0), we simply set t = 0 in the equation for dv/dt above. Answer: I1 (0) = 0.1727 A (rounded to four decimal places)

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Answer:

U-235

Explanation:

a rare needed compound

The ball will take 45 seconds to reach the ground.

U=0(since ball is dropping)

So, we have to find t=?

Given

a=-9.8m/s

S=45m

As we know,

S=ut+1/2at^2

so,

t^2=45×90/2

hence

t=45s.

so the time taken is 45 seconds.

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The speed of the block at points just before and just after the midpoint and the time its takes the block to travel between them.

The rate at which speed and direction of movement change over time is referred to as acceleration. When something moves faster or slower, it is said to be accelerating. Motion on a circle increases even while the speed is constant because the vector is always changing.

According to Newton's second law of motion, an object's acceleration is equal to the net force applied to it divided by its mass, or a = F m. Given an object's mass and the net pressure exerted on it, one can use this acceleration equation to calculate its acceleration.

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Unmanned aerial vehicles (UAVs) is the best aerial reconnaissance method for dealing with extremely large scale sites.

Drones, also known as unmanned aerial vehicles (UAVs), are the most effective approach for aerial reconnaissance of big scale sites.

They have been used effectively for commercial applications such as inspections, surveys, and mapping.

They are also utilized in military reconnaissance and surveillance to gather intelligence information and track hostile locations, structures, or activities.

UAVs have a number of advantages over other conventional aerial reconnaissance techniques.

They are less expensive, safer, and faster to deploy than manned aircraft.

They can be deployed over difficult terrain and areas that are difficult to reach.

They can be remotely controlled and can fly at low altitude to provide high-resolution images and video footage that can be used to analyze the site in detail.

UAVs are equipped with advanced sensors and cameras that enable them to capture high-quality images and videos that can be analyzed in real-time or later to produce detailed maps and 3D models of the site.

This makes them the best approach for aerial reconnaissance of big scale sites.

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The cost to operate a 800-watt rice cooker for 30 minutes daily for 30 days at a rate of 40 cents/kWh is $4.80.

To calculate the cost, we first need to determine the energy consumption of the rice cooker. The power consumption of 800 watts for 30 minutes daily for 30 days can be calculated as follows:

Energy consumption = Power × Time

= (800 watts) × (0.5 hours/day) × (30 days)

= 12,000 watt-hours or 12 kWh

Next, we can calculate the cost by multiplying the energy consumption by the rate:

Cost = Energy consumption × Rate

= 12 kWh × $0.40/kWh

= $4.80

Therefore, the cost to operate the rice cooker for the given duration and rate is $4.80.

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(a) The velocity of the object at time t is given by finding the derivative of y (t):

y(t) = -2t2 + t + 10dy(t)/dt

= -4t + 1

Therefore, the velocity of the object at time t is -4t + 1.

(b) The acceleration of the object at time t is given by finding the derivative of the velocity function:

dy(t)/dt = -4t + 1d2y(t)/dt2

= -4

Therefore, the acceleration of the object at time t is -4 m/s2.

(c) The ball hits the ground when y(t) = 0, so we can solve for t by setting -2t2 + t + 10 = 0 and using the quadratic formula:

t = (-b ±  (b2 - 4ac)) / (2a), where a = -2, b = 1, and c = 10.

Plugging these values into the formula, we get:

t = (-1 ±  (12 - 4(-2)(10))) / (2(-2)) = (1 ±  81) / 4

We take the negative root because the positive root corresponds to the ball reaching its maximum height before falling back down. Thus,

t = (1 - 81) / 4

= -2/4

= -0.5 s

To find the velocity of the ball at this time, we plug t = -0.5 into the velocity function we found in part

(a):v = -4t + 1

= -4(-0.5) + 1

= 3 m/s

Therefore, the velocity of the ball at the time it hits the ground is 3 m/s.

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The speed at which the satellite travels is 3.08 x 10³ m/s.

To find the speed of a satellite in a circular orbit, we need to use the following formula:

v = (GM / r)¹/²

Where, G = Gravitational constant, M = mass of Earth, r = radius of the Earth + altitude of the satellite.

The period formula:

T = 2πr / v

Where, T = time period, r = radius, v = velocity.

The speed formula:

v = S / T

Where, S = distance travelled.

Given:

Mass of Earth (ME) = 5.98 × 10²⁴ kg,

Period of satellite (T) = 1.90 × 10⁴ s.

To find: Speed at which the satellite travels (v)

We know that for a circular orbit:

v = (GM / r)¹/², and T = 2πr / v

So, v = 2πr / T

Substituting for r:

v = 2π(GM / v)¹/² / T

Now, solving for v:

v = (GM / T)¹/²

Putting the values:

v = [(6.67 × 10⁻¹¹ Nm²/kg² × 5.98 × 10²⁴ kg) / (1.90 × 10⁴ s)]¹/²v

  = 7.91 × 10³ m/s

Now, finding the distance S:

T = S / v

S = Tv

S = (1.90 × 10⁴ s) × (7.91 × 10³ m/s)

S = 1.50 × 10⁸ m.

Finally, substituting for S in the formula for speed:

v = S / T

v = 1.50 × 10⁸ m / 1.90 × 10⁴ s

v = 3.08 × 10³ m/s

Hence, the speed at which the satellite travels is 3.08 x 10³ m/s.

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Answer:

More than two million electron volts.

Explanation:

More than two million electron volts energy are needed to break or split a deuteron into a proton and a neutron. Nuclear binding energy is the type of energy that is required to split an atom's nucleus into protons and neutrons. The deuteron is an isotope of hydrogen that is composed of a proton and a neutron and it is a stable particle. Very huge amount of energy is needed for the splitting of nucleus due to the presence of heavy particles i.e. proton and neutron.

Answer:

0.80 m

Explanation:

elastic potential energy formula

elastic potential energy = 0.5 × spring constant × (extension) 2

A) The elastic potential energy stored in the spring is 25 J. B) The speed of the mass as it passes through the equilibrium point is 2.58 m/s.

A) To find the elastic potential energy stored in the spring, use the formula:
Elastic potential energy (PE) = (1/2)kx^2
Where k is the spring constant (500 N/m) and x is the displacement from the equilibrium length (0.1 m).
PE = (1/2)(500)(0.1)^2
PE = 25 J
B) The elastic potential energy will be converted to kinetic energy when the spring is released. Use the formula:
Kinetic energy (KE) = (1/2)mv^2
Where m is the mass (0.75 kg) and v is the velocity.
Since PE = KE, we can find the velocity:
25 J = (1/2)(0.75 kg)v^2
Solve for v:
v = 2.58 m/s

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The amount of lateral strain in a tension member can be calculated using Poisson's ratio.

To calculate the lateral strain, we can use the equation: ε_lateral = -ν * ε_longitudinal

Where:

ε_lateral = Lateral strain

ν = Poisson's ratio

ε_longitudinal = Longitudinal strain

Poisson's ratio (ν) is a material property that describes the ratio of lateral strain to longitudinal strain when a material is subjected to an axial load. It is defined as the negative ratio of the transverse strain to the longitudinal strain.

Calculating the lateral strain involves determining the longitudinal strain, which can be calculated using the equation:ε_longitudinal = ΔL / L

Where:

ε_longitudinal = Longitudinal strain

ΔL = Change in length of the tension member

L = Original length of the tension member

Once the longitudinal strain is calculated, we can use Poisson's ratio to determine the lateral strain by multiplying the longitudinal strain by the negative value of Poisson's ratio.

It is important to note that the lateral strain is typically very small compared to the longitudinal strain in a tension member, especially for materials with a low Poisson's ratio.

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Answer:

Difficult to Pour.

Explanation:

Answer:

the  current in the wire is  0.008333333  A

Explanation:

The computation of the current in the wire is as follows;

Current in the wire is

= Total charge ÷ cross sectional area of the wire

= 7.5 × 10^-3C ÷ 0.9s

= 0.008333333  A

Hence, the  current in the wire is  0.008333333  A

We simply applied the above formula so that the correct current of the wire could come

And, the same is considerd and relevant too

Answer:

I think it is C

Explanation:

states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Notice that the forces are exerted on different objects.

The mass of the ice that melts when a bullet of mass 4 grams moving at a speed of 3000 meters per second is stopped by an ice block at 0 degrees Celsius is 0.00006 kg.

The kinetic energy of the bullet is converted to heat energy when it collides with the ice block. We can calculate this heat energy as follows:

Initial kinetic energy of the bullet, E = (1/2)mu² = (1/2)×0.004×(3000)² J = 18 J

This is the amount of heat energy that is produced when the bullet collides with the ice block. This heat energy is used to melt a certain mass of ice.

We can calculate the mass of ice melted using the formula for heat of fusion:

Q = mLf

where Q is the heat energy absorbed by the ice, and m is the mass of ice melted.

Substituting the values we get,

18 = m × 300000m = 18/300000 kg = 0.00006 kg

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In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.

However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.

It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.

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The correct statement is "I only." One of the pre-loss objectives of risk managers is to meet any legal requirements the company may face.

The use of fire-resistive materials when constructing a building is an example of risk control. This is because risk control involves taking proactive steps to reduce the likelihood or severity of loss when an incident occurs. Fire-resistive materials are designed to withstand fire, and they are meant to slow down or contain the spread of fire in a building, thus reducing the risk of loss or damage.

In risk management, risk control is one of the four basic methods used to handle or mitigate risks. The other methods include risk transfer, risk avoidance, and risk retention. Risk transfer involves shifting the risk of loss to another party, such as through insurance or contract agreements. Risk avoidance involves eliminating the activity that could lead to loss or harm, while risk retention involves accepting the risk and dealing with any losses that may occur. As for the second question, the correct statement is "I only."

One of the pre-loss objectives of risk managers is to identify, assess, and evaluate potential risks that could negatively affect an organization. They also work to develop strategies to manage these risks and to ensure that the company is meeting any legal or regulatory requirements. On the other hand, one of the post-loss objectives of risk managers is to minimize the impact of losses that occur. They work to evaluate the effectiveness of the company's risk management strategies and to ensure that the company recovers from the loss as quickly as possible. Maximizing the risk manager's wealth is not a post-loss objective of risk managers.

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Fringe Width is the distance between two maxima of the next order on one side of the central maxima.

The distance between two fringes can be calculated by β=λDd where β represents fringe width, λ represents wavelength, D represents the distance between slit and screen, and represents the distance between two slits. The fringe width depends on the wavelength of light, the distance between the slits, and slit separation.

The bright (constructive interference) fringes are at maximum intensity and the dark (destructive interference) fringes are at minimum intensity. Fringe is the alternating light and dark band that forms due to interference. Fringe width is the distance between two successive bright or dark fringes.

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Answer:

\(K_{i}+U_{g,i} = K_{f}+U_{g,f}\)

Explanation:

A closed system is a system where exists energy interactions with surroundings, but not mass interactions. If we neglect any energy interactions from boundary work, heat, electricity, magnetism and nuclear phenomena and assume that process occurs at steady state and all effects from non-conservative forces can be neglected, then the equation of energy conservation is reduce to this form:

\(\Delta K +\Delta U_{g} = 0\) (1)

Where:

\(\Delta K\) - Change in kinetic energy of the system, measured in joules.

\(\Delta U_{g}\) - Change in gravitational potential energy of the system, measured in joules.

If we know that \(\Delta K=K_{i}-K_{f}\) and \(\Delta U_{g} = U_{g,i}-U_{g,f}\), then we get the following equation:

\(K_{i}+U_{g,i} = K_{f}+U_{g,f}\) (2)

Where \(i\) and \(f\) stands for initial and final states of each energy component.

Hence, the right answer is \(K_{i}+U_{g,i} = K_{f}+U_{g,f}\)

Answer:

KEi + PEi = KEf + PEf

Explanation

right on edge 2020

The minimum amplitude of the resultant pulse is 10 cm.

The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.

When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.

However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.

So, the minimum amplitude of the resultant pulse is 10 cm.

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