Which of these typically have the largest orbit? Earth Mars Meteors Comets

About 10,080 times more force than gravity is exerted on the sample in the centrifuge.

A. To calculate the centripetal acceleration of the centrifuge, you can use the formula:

a_c = rω²

where a_c is centripetal acceleration, r is the radius of the centrifuge, and ω is angular velocity. First, we need to convert the diameter to the radius (r = 0.09 m) and RPM to radians per second (ω = 10,000 RPM * 2π / 60 ≈ 1047.2 rad/s).

a_c = 0.09 m * (1047.2 rad/s)² ≈ 98,960 m/s²

B. To find the force on the 10-gram sample, we can use the formula:

F = m * a_c

where F is force, m is the mass of the sample (0.01 kg), and a_c is the centripetal acceleration from part A.

F = 0.01 kg * 98,960 m/s² ≈ 989.6 N

C. To determine how many times greater than the force of gravity this force is, we can divide the force by the gravitational force on the sample:

F_gravity = m * g
F_gravity = 0.01 kg * 9.81 m/s² ≈ 0.0981 N

Force ratio = F / F_gravity ≈ 989.6 N / 0.0981 N ≈ 10,080

So, the force on the sample in the centrifuge is approximately 10,080 times greater than the force of gravity.

Know more about centripetal acceleration here:

https://brainly.com/question/14465119

#SPJ11

The correct answer is d) 1.

An object can only have one maximum tension force acting on it at a given time. Tension is a force that occurs when a material is pulled in opposite directions, creating a stretching or elongating effect. If there were multiple tension forces acting on an object, it would create a net force and cause the object to move in different directions, which is not physically possible. Therefore, an object can only have one maximum tension force acting on it.

Visit https://brainly.com/question/30470948 to learn more about Tension

#SPJ11

6. The change in temperature is -5°C, which indicates a decrease of 5°C. and 7. The energy needed is 180.6 Joules.

6. To find the change in temperature, you need to subtract the final temperature from the initial temperature:

Change in temperature = Final temperature - Initial temperature
Change in temperature = 25°C - 30°C
Change in temperature = -5°C

The change in temperature is -5°C, which indicates a decrease of 5°C.

7. To calculate the energy needed to heat 35g of gold from 10 to 50°C, you need to use the formula:

Energy = mass × specific heat × change in temperature

The specific heat of gold is 0.129 J/(g·°C). First, find the change in temperature:

Change in temperature = Final temperature - Initial temperature
Change in temperature = 50°C - 10°C
Change in temperature = 40°C

Now, plug in the values into the formula:

Energy = (35g) × (0.129 J/(g·°C)) × (40°C)

Energy = 180.6 J

The energy needed is 180.6 Joules.

For more about energy:

https://brainly.com/question/1932868

#SPJ11

The statements describe a closed circuit: bulbs will shine, the circuit is complete, the circuit is complete.

A closed circuit can be described by the following three statements:

1. Bulbs will shine: In a closed circuit, the electrical components such as bulbs are connected in a complete loop, which allows the current to flow through them, causing the bulbs to shine.

2. The circuit is complete: A closed circuit has a continuous path for the charges to flow through. This means there are no breaks or gaps in the connections, allowing the current to move without interruption.

3. Charges flow: Since a closed circuit is complete, it enables the flow of electrical charges (or current) through the circuit. This continuous flow of charges is what powers the devices connected to the circuit.

In summary, a closed circuit is characterized by bulbs shining, a complete circuit, and the flow of charges. This is in contrast to an open circuit, where the circuit is incomplete, and charges do not flow, resulting in bulbs not shining.

To know more about circuit, refer here:

https://brainly.com/question/29765546#

#SPJ11

Complete question:

Which statements describe a closed circuit? select three options.

bulbs will shine.

bulbs will not shine.

he circuit is incomplete.

the circuit is complete.

charges flow.

charges do not flow.

The change in velocity of the tip of the second's hand in 15 seconds is: [tex]\pi /(30\sqrt2) cm/s[/tex]. The correct option is B.

To determine the change in velocity of the tip of the second's hand, we need to consider that the hand moves in a circular path with a radius of 1 cm. In 15 seconds, the angle covered is (15/60) × 360 = 90 degrees, or π/2 radians.

The initial velocity can be represented as (v1 = rω1) and the final velocity as (v2 = rω2), where r is the radius (1 cm) and ω is the angular velocity. Since the second's hand moves at a constant speed, the angular velocities are equal, and the change in velocity (∆v) can be calculated using the formula:

∆v = √(v1² + v2² - 2*v1*v2cos(π/2))

Since cos(π/2) = 0, the formula simplifies to:

∆v = √(v1² + v2²)

As v1 = v2 = rω,

∆v = √(2(rω)²) = rω√2 = (1cm)(π/30 rad/s)√2 = π/(30√2) cm/s

So, the change in velocity of the tip of the second's hand in 15 seconds is π/(30√2) cm/s. The correct option is B.

To know more about velocity , refer here:

https://brainly.com/question/1482529#

#SPJ11

Complete question:

The length of speed's hand of watch is 1cm the change in velocity of is tip in 15 sec

A. zero

B. π/(30√2)

C. π/30

D. 2π/(30√2)

The z-component of the Poynting vector of  plane monochromatic electromagnetic wave with wavelength λ=2. 0cm at (x=0,y=0,z=0) at t=0 is -2.44×10⁻¹¹W/m².

Poynting vector describes the flow of energy in an monochromatic electromagnetic wave and is given by:

>S⃗=1/μ0(E⃗ ×B⃗ )

where μ0 is the permeability of free space, E⃗ is the electric field vector, and B⃗ is the magnetic field vector. In this case, we are given the magnetic field vector as:

>B⃗ =(Bxi^+Byj^)cos(kz+ωt)

To find the z-component of the Poynting vector at (x=0,y=0,z=0) at t=0, we first need to determine the electric field vector. We know that the wave is monochromatic, meaning it has a single frequency, and we are given the wavelength λ=2.0cm. We can use the relationship between wavelength and frequency:

>c=λf

where c is the speed of light, to find the frequency:

>f=c/λ

>f=(3.00×10⁸ m/s)/(0.02 m)

>f=1.50×10¹⁰ Hz

Now we can use the relationship between the electric and magnetic fields in an electromagnetic wave:

>E=cB

to find the electric field vector:

>E=c(Bxi^+Byj^)

>E=(3.00×10⁸ m/s)(1.9×10⁻⁶ xi^+4.7×10⁻⁶ yj^)

>E=(5.70×10² V/m)xi^+(1.41×10³ V/m)yj^

We can now substitute the magnetic and electric field vectors into the expression for the Poynting vector:

>S⃗=1/μ0(E⃗ ×B⃗ )

>S⃗=1/μ0[(5.70×10²2 xi^+1.41×10³ yj^)×(1.9×10−6 xi^+4.7×10⁻⁶ yj^)]cos(kz+ωt)

>S⃗=1/μ0(−8.91×10⁻¹⁶z^)cos(kz+ωt)

where z^ is the unit vector in the +z direction. Plugging in the values for μ0, k, and ω, we get:

>S⃗=−2.44×10−11z^W/m²

where W/m² represents the units of power per unit area. Finally, we need to find the z-component of the Poynting vector at (x=0,y=0,z=0) at t=0, so we plug in those values:

>Sz=−2.44×10−11(1) W/m²

>Sz=−2.44×10−11 W/m²

Therefore, the z-component of the Poynting vector at (x=0,y=0,z=0) at t=0 is -2.44×10^-11 W/m².

Learn more about monochromatic electromagnetic wave at: https://brainly.com/question/14477656

#SPJ11

The speed at which the catcher slides on the ice after catching the 149 kg baseball moving at 17.7 m/s is 12.80 m/s.        it can be found using the conservation of momentum formula: MaVa + MbVb = (Ma + Mb)(Va+b).

In this case, Ma represents the mass of the baseball (149 kg)

Va represents the initial velocity of the baseball (17.7 m/s)

Mb represents the mass of the catcher (57 kg), and Vb represents the initial velocity of the catcher (0 m/s, as he is at rest).

We need to solve for Va+b, which represents the final velocity of the catcher after catching the baseball.

Plugging in the given values, we have:

(149 kg)(17.7 m/s) + (57 kg)(0 m/s) = (149 kg + 57 kg)(Va+b)

2637.3 kg·m/s = (206 kg)(Va+b)

To find the final velocity of the catcher (Va+b), we can now divide both sides by the total mass (206 kg):

Va+b = 2637.3 kg·m/s / 206 kg = 12.80 m/s

Therefore, the catcher slides on the ice with a speed of approximately 12.80 m/s after catching the baseball. Please remember to round your answer to 3 decimal places as required.

Know more about conservation of momentum click here:

https://brainly.com/question/24989124

#SPJ11

You can push the refrigerator up to a height of 3.33 m above the floor without it tipping over before it starts to slide.

To determine the highest distance above the floor that you can push the refrigerator so that it will not tip before it begins to slide, we need to find the point where the gravitational force acting on the refrigerator produces a torque that is equal and opposite to the torque produced by the force of friction when it is about to tip over.

First, we need to calculate the gravitational torque on the refrigerator. The gravitational force acts at the center of mass, which is located at the geometrical center of the refrigerator.

The torque produced by the gravitational force is given by:

[tex]τ_{gravity} = F_{gravity} * d[/tex]

where F_gravity is the gravitational force, and d is the perpendicular distance from the line of action of the force to the pivot point (in this case, the edge of the refrigerator that is in contact with the floor). Since the refrigerator is symmetric, the center of mass is at the midpoint of the height, which is 1.0 m above the floor. Therefore:

[tex]F_{gravity} = m g = 120 kg x 9.81 m/s^2 = 1177.2 N[/tex]

d = 1.0 m

[tex]τ_{gravity} = 1177.2 N *1.0 m = 1177.2 Nm[/tex]

Next, we need to calculate the torque produced by the force of friction when the refrigerator is about to tip over.

The force of friction acts at the point of contact between the refrigerator and the floor, which is at the bottom of the refrigerator. The torque produced by the force of friction is given by:

[tex]τ_{friction} = F_{friction} h[/tex]

where F_friction is the force of friction, and h is the perpendicular distance from the line of action of the force to the pivot point (in this case, the same edge of the refrigerator that is in contact with the floor). Since the coefficient of static friction is 0.30, the maximum force of friction that can be exerted on the refrigerator without it tipping over is:

[tex]F_{friction} = μ_{s} F_{gravity} = 0.30* 1177.2 N = 353.16 N[/tex]

To determine the maximum height at which you can push the refrigerator without it tipping over, we need to find the value of h that makes τ_gravity = τ_friction. Therefore:

1177.2 Nm = 353.16 N x h

h = 1177.2 Nm / 353.16 N = 3.33 m

To know more about gravitational force refer here

https://brainly.com/question/12528243#

#SPJ11

The velocity, u, has a value of 19.6 m/s. The particle has a maximum height of 19.6 m. The particle spends a total of 2.33 s at a height more than half of its highest height.

We can apply the formula for the period of flight of a vertically projected particle to determine the value of the velocity, u: t = 2u/g.

After 4 seconds, the particle returns to the same location, therefore we have:

2t = 4

When the value of t is substituted in the first equation, we obtain:

u = gt/2 = 9.8 x 2

u = 19.6 m/s

b) The formula for the maximum height attained by a vertically projected particle can be used to determine the particle's greatest height:

h = u²/2g

Substituting the value of u, we get:

h = 19.6²/(2 x 9.8)

h = 19.6 m

b) We can first determine the height at which the particle is half its greatest height in order to determine the total amount of time the particle is at a height higher than half its greatest height:

[tex]h/2 = (u^2/2g)/2 = u^2/4g[/tex]

Substituting the value of u, we get:

[tex]h/2 = 19.6^2/(4 x 9.8) = 24.01 m[/tex]

Therefore, when the particle is over 24.01 m, it is at a height that is larger than half of its maximum height.

Next, we can determine how long it took the particle to ascend to this height:

[tex]h = ut - (1/2)gt^224.01 = 19.6t - (1/2)9.8t^2[/tex]

Solving this quadratic equation, we get:

t =2.33s or t=4.10 s

The particle ascends to a height of 24.01 m in 2.33 seconds, and it descends to the ground in 1.67 seconds (4 - 2.33).

To know more about velocity visit:-

https://brainly.com/question/17127206

#SPJ1

Answer: electric shock

Explanation: cuz metal is conductor of electricity

A man pulled a food cart 4. 5 m to the right for 15 seconds. The average speed of the food cart to the nearest tenth is 0.3 m/s. The average speed of the food cart can be calculated by dividing the total distance traveled by the time taken.

In this case, the distance traveled is 4.5 m, and the time taken is 15 seconds. Thus, the average speed of the food cart can be calculated as:

average speed = total distance / time taken = 4.5 m / 15 s = 0.3 m/s

Therefore, the average speed of the food cart is 0.3 m/s.

To understand this calculation, it is important to know the definition of speed, which is the distance traveled per unit of time. In this case, the distance traveled is the horizontal distance the food cart was pulled, and the time taken is the duration of the pulling.

The average speed is the total distance traveled divided by the time taken. This calculation assumes that the speed is constant over the duration of the motion.

In summary, the average speed of the food cart is 0.3 m/s, calculated by dividing the total distance traveled (4.5 m) by the time taken (15 s).

To know more about speed refer here:

https://brainly.com/question/28060745#

#SPJ11

The tangential speed of a point on the Ferris wheel is approximately 2.01 m/s.  the magnitude of the centripetal acceleration of a point on the Ferris wheel is approximately 0.106 m/s².

The tangential speed of a point on the Ferris wheel is given by the formula:

v = (2πr) / T

where v is the tangential speed, r is the radius of the Ferris wheel (half the diameter), and T is the time taken to complete one revolution.

In this case, the diameter of the Ferris wheel is 76 m, so its radius is 38 m. It completes one revolution every 20 min, so the time taken is T = 20 min = 1200 s. Substituting these values in the formula, we get:

v = (2π × 38 m) / 1200 s

≈ 2.01 m/s

The centripetal acceleration of a point on the Ferris wheel is given by the formula:

a = v² / r

where a is the magnitude of the centripetal acceleration, v is the tangential speed, and r is the radius of the Ferris wheel.

In this case, we have already calculated the tangential speed to be approximately 2.01 m/s, and the radius of the Ferris wheel is 38 m. Substituting these values in the formula, we get:

a = (2.01 m/s)² / 38 m

≈ 0.106 m/s²

To know more about Ferris wheel, here

https://brainly.com/question/16396069

#SPJ4

a) To calculate the actual mechanical advantage (AMA), we use the formula:

AMA = Output Force / Input Force

In this case, the output force is the weight of the motor being lifted, which is 320 N. The input force is the force applied by the mechanic, which is 90 N.

AMA = 320 N / 90 N

AMA ≈ 3.56 (rounded to two decimal places)

Therefore, the actual mechanical advantage (AMA) is approximately 3.56.

b) The ideal mechanical advantage (IMA) of a block-and-tackle system is determined by the number of supporting ropes or chains. Since the problem does not mention the specific arrangement of the block-and-tackle system, we cannot calculate the exact IMA. However, in a simple block-and-tackle system, the IMA is equal to the number of rope segments supporting the load. If we assume a simple one-rope segment system, then the IMA would be 1.

c) Efficiency is defined as the ratio of output work to input work, expressed as a percentage. The formula for efficiency is:

Efficiency = (Output Work / Input Work) x 100

Output work is calculated as the product of the output force and the distance lifted. In this case, it is 320 N multiplied by 2.9 m. Input work is calculated as the product of the input force and the distance moved. Here, it is 90 N multiplied by 8.2 m.

Output Work = 320 N * 2.9 m = 928 N·m

Input Work = 90 N * 8.2 m = 738 N·m

Efficiency = (928 N·m / 738 N·m) x 100

Efficiency ≈ 125.88% (rounded to two decimal places)

Note: The efficiency value obtained here is higher than 100%, which is not physically possible. It is likely due to rounding errors or approximations made during the calculations. In practical scenarios, efficiencies are always less than 100%.

To know more about block-and-tackle system refer here

https://brainly.com/question/3415871#

#SPJ11

No, it is not possible to play the lowest string with your finger on any of the frets shown and hear the same frequency as the highest string.

The frets on a stringed instrument, such as a guitar, are placed in specific positions along the neck to produce different pitches or frequencies when the strings are pressed against them.

Each fret represents a specific note, and when you press a string against a particular fret, you effectively shorten the vibrating length of the string, which increases the frequency and raises the pitch of the sound produced.

As you move your finger along the fretboard, the pitch of the note played changes.

The lowest string on a guitar, typically the thickest string, has the lowest pitch or frequency when played open (without pressing any frets). As you press down on higher frets, you increase the pitch of the note.

The highest string on a guitar, typically the thinnest string, has the highest pitch or frequency when played open.

Therefore, pressing a fret on the lowest string will never produce the same frequency as the open (unfretted) highest string because the length and tension of the strings are different, resulting in different natural frequencies for each string.

To know more about string refer here

https://brainly.com/question/946868#

#SPJ11

Technician A is correct in their suggestion to separate the governor system from the carburetor by holding the throttle plate still, while Technician B is incorrect in stating that hunting and surging is caused exclusively by a lean mixture in the carburetor. Therefore, the correct answer is Technician A.

Technician A is correct. To determine whether the carburetor or the governor system is causing the hunting and surging symptom at top no-load speed, holding the throttle plate still is a useful troubleshooting process. By holding the throttle plate still, the engine can be tested to see if it continues to hunt and surge, which will help determine if the governor system or the carburetor is causing the issue. This method allows for the separation of the governor system from the carburetor, making it easier to identify the cause of the problem.

On the other hand, Technician B is not entirely correct. While a lean mixture in the carburetor can cause hunting and surging, it is not the only possible cause. Other factors such as a malfunctioning governor system can also result in these symptoms. Therefore, it is essential to follow the troubleshooting process outlined by Technician A to accurately identify the cause of the problem and address it effectively.

For more about governor system:

https://brainly.com/question/15993503

#SPJ11

The weight of the box is approximately 273.45 N.

To determine the weight of the box, we will consider the equilibrium of forces acting on the box when it is displaced to its final position. At this point, there are three forces acting on the box: the weight (W), tension in the rope (T), and the horizontal force (F = 100 N). These forces can be represented using vectors and trigonometry.

Since the box is in equilibrium, the net force acting on it is zero. Therefore, the horizontal and vertical components of the tension in the rope must balance the horizontal force and the weight of the box, respectively. Using the angle provided (20 degrees), we can calculate the components of the tension in the rope as follows:

Horizontal component: T_horizontal = T * sin(20°)
Vertical component: T_vertical = T * cos(20°)

To balance the forces, we have:
T_horizontal = F => T * sin(20°) = 100 N
T_vertical = W => T * cos(20°) = W

Now, divide the first equation by the second equation:
(T * sin(20°)) / (T * cos(20°)) = (100 N) / W

Simplify the equation using the trigonometric identity tan(θ) = sin(θ) / cos(θ):
tan(20°) = (100 N) / W

Now, solve for W:
W = (100 N) / tan(20°)

W ≈ 273.45 N

The weight of the box is approximately 273.45 N.

For more about weight:

https://brainly.com/question/23312072

#SPJ11

0.174 N of force is acting on object A. The force on object A due to object B can be found using Coulomb's law:

F = k * (q1 * q2) / r^2

where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the objects, and r is the distance between them.

Plugging in the values given:

F = (9 x 10^9 N*m^2/C^2) * ((5.0 x 10^-6 C) * (7.0 x 10^-6 C)) / (0.0168 m)^2

F = 0.174 N

Therefore, the force on object A is 0.174 N.

Know more about Coulomb's Law here:

https://brainly.com/question/31827766

#SPJ11

Science and technology have had a significant influence on society, with both successes and difficulties.

The achievements can be noted as -

The challenges can be noted as -

Read more about science and technology on:

https://brainly.com/question/28497175

#SPJ1

To determine the forces in all the members, we have to consider as follows:

1. Draw the truss and label all the members and joints.
2. Determine the support reactions by solving the equilibrium equations (sum of vertical forces, horizontal forces, and moments should be zero).
3. Using the Method of Joints or Method of Sections, analyze each joint or section by applying the equilibrium equations.
4. For each member, calculate the force and determine if it is in tension or compression based on the direction of the force acting on the member.
5. Organize your results in a table with columns for the member label, force value, and whether the force is tension or compression.
6. Finally, show the results on the truss by indicating the force magnitudes and whether each member is in tension or compression.

Remember that for a more accurate answer, I need more details about the truss you are analyzing.

To learn more about compression, refer below:

https://brainly.com/question/30060592

#SPJ11

Yes, Terry should call 9-1-1 immediately because the man is mentally ill.

Based on the statement, if Terry is out with friends and sees a man who appears to be struggling with mental illness. And the man is ranting and waving his arms around in a very antagonistic way. He is also getting more agitated and pulls out a knife and starts jabbing it like he is attacking someone.

The man's behavior is dangerous and poses a potential threat to himself and others around him. The fact that he has pulled out a knife and is waving it in a threatening manner indicates that he may be a danger to himself or others.

In this situation, it is important to prioritize everyone's safety and call for emergency services to intervene and help the man.

Learn more about emergency situations here: https://brainly.com/question/28335200

#SPJ1

The process of charge separation, driven by updrafts and downdrafts in a thunderstorm, causes regions within the storm cloud to become oppositely charged, leading to the Electrostatic discharge known as lightning.

Lightning occurs due to electrostatic discharge between two electrically charged regions within a thunderstorm. These regions become oppositely charged through a process called charge separation.

Charge separation begins when updrafts and downdrafts within a thunderstorm cause ice particles, hail, and water droplets to collide. During these collisions, electrons are transferred between particles, resulting in some particles becoming positively charged while others become negatively charged.

The lighter, positively charged ice particles are carried upward by the updrafts, accumulating at the top of the storm cloud. Conversely, the heavier, negatively charged particles, such as hail, are carried downward by gravity and downdrafts, accumulating at the base of the cloud.

This separation of charges creates an electric field between the top and bottom regions of the cloud. When the electric field becomes strong enough, it overcomes the air's insulating properties, allowing electrons to flow from the negatively charged region to the positively charged region. This flow of electrons results in a lightning discharge.

In summary, the process of charge separation, driven by updrafts and downdrafts in a thunderstorm, causes regions within the storm cloud to become oppositely charged, leading to the electrostatic discharge known as lightning.

To Learn More About Electrostatic

https://brainly.com/question/17692887

SPJ11

Answer:

The basics of proton-proton fusion in the Sun are detailed in the following important summary:

Normally, protons repel each other because their charges are similar. This is similar to trying to bring together the north pole of a magnet with the north pole of another magnet.

To overcome that electromagnetic repulsion, one needs to smash the protons at a very high speed. This is similar to how two magnets can be brought together if they are moving very fast.

That high speed is not achieved in daily life, thankfully, but in the cores of stars where the temperature is high.

Temperature is a proxy for the speed of particles. For example, if it is cold in a room, the particles are moving slowly.

The temperature is high in the cores of stars because there is the sizable mass of all the overlaying layers exerting a pressure on the core. This pressure causes the temperature to rise, and hence the speed of the protons.

By analogy, consider when diving from the top of the pool to the bottom of the pool. As you descend, you begin to feel the pressure exerted by all the overlaying layers of water.

In the core of the Sun, the temperature is about 15 million degrees Celsius. This is hot enough for the protons to move at very high speeds. When two protons collide at high speed, they can fuse together to form a helium nucleus. This process releases a large amount of energy, which is what powers the Sun.

The proton-proton fusion reaction is a complex process, but it is essential for the Sun to shine. Without this reaction, the Sun would eventually cool and collapse.

Answer:To calculate the elastic potential energy stored in the spring, we can use the formula:

Elastic potential energy = (1/2) * k * Δx^2

where k is the force constant of the spring and Δx is the change in length from the relaxed length.

First, we need to calculate Δx:

Δx = 3.50 m - 2.58 m

Δx = 0.92 m

Now, we can calculate the elastic potential energy:

Elastic potential energy = (1/2) * k * Δx^2

Elastic potential energy = (1/2) * 5.2 N/m * (0.92 m)^2

Elastic potential energy = 2.17 J

Therefore, the elastic potential energy stored in the spring is 2.17 J.

Explanation:

The force responsible for normal expiration is supplied by the elastic recoil of the lungs and chest wall. During inhalation, the diaphragm and intercostal muscles contract, causing the chest cavity to expand and the lungs to fill with air.

When the muscles relax, the chest cavity and lungs recoil back to their resting positions, expelling air out of the lungs. The elastic recoil of the lungs and chest wall generates the force needed for normal expiration.

To know more about elastic recoil refer here

https://brainly.com/question/9491266#

#SPJ11

The mass of the ball is approximately 68.1 kg. To find this, we used the kinetic energy formula, substituted the given values, and solved for the mass.

We are given the instantaneous velocity (v) of the ball as 4.81 m/s and its kinetic energy (KE) as 788.1 J. Our goal is to find the mass (m) of the ball.

1. We'll use the formula for kinetic energy: KE = 0.5 * m * v^2.

2. Substitute the given values: 788.1 J = 0.5 * m * (4.81 m/s)^2.

3. Calculate the square of the velocity: (4.81 m/s)^2 = 23.1361 m^2/s^2.

4. Substitute the square of the velocity into the equation: 788.1 J = 0.5 * m * 23.1361 m^2/s^2.

5. Multiply both sides of the equation by 2 to eliminate the 0.5: 1576.2 J = m * 23.1361 m^2/s^2.

6. Divide both sides of the equation by 23.1361 m^2/s^2 to isolate the mass (m): m = 1576.2 J / 23.1361 m^2/s^2.

7. Perform the division to get the mass: m ≈ 68.1 kg.

For more about mass:

https://brainly.com/question/19694949

#SPJ11

The x-component of the net force exerted by [tex]q_1[/tex] and [tex]q_2[/tex] on [tex]q_3[/tex] is -5.33 x [tex]10^{-3}[/tex] N, indicating that [tex]q_3[/tex] is attracted towards [tex]q_1[/tex].

What is Charge?

Charge is a fundamental property of matter that describes the amount of electrical energy that a particle possesses. It is a physical property that can be either positive or negative and is measured in units of coulombs (C).

To calculate the x-component of the net force, we need to consider the x-components of the distances and forces. Since [tex]q_3[/tex] is placed between [tex]q_1[/tex]and [tex]q_2[/tex], we can calculate the distances as follows:

[tex]r_1[/tex] = [tex]x_3[/tex] - [tex]x_1[/tex] = (-1.145 m) - (0 m) = -1.145 m

[tex]r_2[/tex] = [tex]x_2[/tex] - [tex]x_3[/tex] = (0.855 m) - (-1.145 m) = 2 m

Note that we use the signs of the distances to indicate the directions of the forces.

The x-components of the forces can be calculated using trigonometry:

F[tex]x_1[/tex] = F1 * cos(theta1) = k * [tex]q_1[/tex] * [tex]q_3[/tex] / [tex]r_1[/tex] * cos(theta1)

F[tex]x_2[/tex] = F2 * cos(theta2) = k * [tex]q_2[/tex] * [tex]q_3[/tex] / [tex]r_2[/tex] * cos(theta2)

where theta1 and theta2 are the angles between the forces and the x-axis.

Since [tex]q_1[/tex] and [tex]q_2[/tex] are both positive, they repel each other and the force on [tex]q_3[/tex] is negative, indicating that it is attracted towards the negative side of the x-axis, which is towards [tex]q_1[/tex].

Using trigonometry, we can calculate the angles as follows:

theta1 = arctan(y1 / [tex]x_1[/tex]) = arctan(0 / (-1.145 m)) = 0 rad

theta2 = arctan(y2 / [tex]x_2[/tex]) = arctan(0 / (0.855 m)) = 0 rad

Therefore, the x-components of the forces are:

F[tex]x_1[/tex] = k *[tex]q_1[/tex] *[tex]q_3[/tex] / [tex]r_1[/tex]^2 * cos(0 rad) = -3.31 x [tex]10^{-3}[/tex] N

F[tex]x_2[/tex] = k * [tex]q_2[/tex] *[tex]q_3[/tex] / [tex]r_2[/tex]^2 * cos(0 rad) = -2.02 x [tex]10^{-3}[/tex] N

The net force on [tex]q_3[/tex] is the sum of the forces:

Fnetx = F[tex]x_1[/tex] + F[tex]x_2[/tex] = -5.33 x [tex]10^{-3}[/tex] N

To know more about Charge visit;

https://brainly.com/question/18102056

#SPJ4

The initial temperature of the metal bolt was 29.8°C.

To find the initial temperature of the metal bolt, we can use the principle of conservation of energy, which states that the total energy of a closed system remains constant.

The energy lost by the metal bolt when it cools down to its final temperature is gained by the water in the calorimeter.

First, let's find the heat gained by the water in the calorimeter:

Qwater = mwater * cwater * ΔTwater

where mwater is the mass of water, cwater is the specific heat capacity of water (which is 4186 J/kg°C), and ΔTwater is the change in temperature of water (final temperature - initial temperature):

Qwater = 0.15 kg * 4186 J/kg°C * (25°C - 21°C)

Qwater = 2511.6 J

Next, let's find the heat lost by the metal bolt:

Qmetal = mm * cmetal * ΔTmetal

where mm is the mass of the metal bolt, cmetal is the specific heat capacity of the metal (which is given as 899 J/kg°C), and ΔTmetal is the change in temperature of the metal (initial temperature - final temperature):

Qmetal = 0.050 kg * 899 J/kg°C * (Ti - 25°C)

where Ti is the initial temperature of the metal bolt.

Since the system is closed, the heat lost by the metal bolt (Qmetal) is equal to the heat gained by the water (Qwater):

Qmetal = Qwater

0.050 kg * 899 J/kg°C * (Ti - 25°C) = 2511.6 J

Solving for Ti, we get:

Ti = (2511.6 J / (0.050 kg * 899 J/kg°C)) + 25°C

Ti = 29.8°C

To know more about conservation of energy refer here

https://brainly.com/question/13949051#

#SPJ11

Two advantages of alkaline accumulators over lead-acid accumulators are:

1. Higher energy density: Alkaline accumulators have a higher energy density than lead-acid accumulators, which means they can store more energy in the same volume or weight of battery. This makes them ideal for portable devices where size and weight are important factors.

2. Longer cycle life: Alkaline accumulators have a longer cycle life than lead-acid accumulators, which means they can be charged and discharged many more times before they need to be replaced.

This makes them a more cost-effective and reliable option for applications where the battery will be used frequently, such as in electric vehicles or renewable energy systems.

To know more about Alkaline accumulators refer here

https://brainly.com/question/24287288#

#SPJ11

If lamp A1 turns off, the brightness of A2 will not be affected, as it is still connected in parallel to the power source.

The brightness of A3 will decrease, since it is connected in series to the parallel combination of A1 and A2. In a series circuit, the current flowing through each element is the same, so if one element fails, the current through the remaining elements will decrease, causing a decrease in brightness.

Consider the analogy of a water pipe. The parallel connection of A1 and A2 is like two pipes connected to the same source, allowing the water (or current) to flow equally through both. The series connection of A3 to A1 and A2 is like a pipe connected in series to two others. If one of the pipes fails, the water flow through the other two will decrease, resulting in less water coming out of the end of the series pipe. Similarly, the brightness of A3 will decrease if A1 turns off, as the current flowing through it will decrease.

To know more about the Identical lamps, here

https://brainly.com/question/29018302

#SPJ4

Answer: Specular and Diffuse reflection

Explanation: I'm assuming this is what you need. Specular is light reflected from a smooth surface at an angle. Diffuse is related to rough surfaces, generally, light is reflected in all directions with diffuse reflection