n which phase of the throwing motion is maximum external rotation achieved? wind-up cocking acceleration deceleration

Answers

Answer 1

Maximum external rotation is achieved in the acceleration phase of the throwing motion.

At which phase of the throwing motion is maximum external rotation attained: wind-up, cocking, acceleration, or deceleration?

During the wind-up phase of the throwing motion, the pitcher starts with his or her hands together in front of the body and begins to lift the leg on the opposite side of the throwing arm. In the cocking phase, the pitcher moves the throwing arm back behind the body, and the hand rotates inward, so the ball faces the ground. In the acceleration phase, the pitcher starts moving the arm forward, and the ball begins to face forward. During this phase, the pitcher generates a significant amount of power to throw the ball. Finally, in the deceleration phase, the pitcher slows down the arm after the ball has been released.

The maximum external rotation is achieved during the acceleration phase, just before the forward acceleration of the arm. During this phase, the pitcher's arm rotates externally, allowing the arm to reach maximum speed just before the release of the ball.

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Related Questions

A catcher stops a 92 mi/hr (41. 1 m/s) pitch in his glove, bringing it to rest in 0. 15m. If the force exerted by the catcher is 803 n, what is the mass of the ball?.

Answers

If a catcher stops a 92 mph (41. 1 m/s) pitch in his glove and slows it to rest in 0. 15 m with a force of 803 N, the ball's mass is 0.14 kg.

What is the short form of Newton's second law?

According to Newton's Second Law of Motion, when a force acts on a mass, acceleration (or gaining speed) occurs (object). A good illustration of this law of motion in action is when you are riding a bicycle. The mass is represented by your bicycle. The force is generated by your leg muscles as they push against the bicycle pedals.

a = (Vf²- Vi²)/2.d

The distance is 0.15 meters, the initial velocity is 92 miles per hour, or 41 m/s, and the final velocity is 0 (rest).

a= -5603 m/s²

use the second Newton law,

F= m.a

m= F/a

m= 803N/5603 m/s²

m= 0.14kg.

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a bicycle with 19-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 4-in. radius on the rear sprocket. the cyclist pedals at 190 rpm. find the linear speed of the bicycle in in/min (correct to at least two decimal places)

Answers

The linear speed of the bicycle is approximately 14145.1 in./min if a bicycle with 19-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 4-in. radius on the rear sprocket.

We can use the principle of similar triangles to find the linear speed of the bicycle.

Let's consider a single revolution of the front sprocket. During this revolution, the chain moves through an arc of 6 inches on the front sprocket and 4 inches on the rear sprocket. These two arcs form similar right triangles with the radius of the sprocket as the hypotenuse and half of the circumference of the sprocket as the other two sides.

So, the ratio of the length of the arcs is equal to the ratio of the radii of the sprockets:

Arc length on front sprocket / Arc length on rear sprocket = 6 in. / 4 in. = 3/2

Next, we can find the linear speed of the bicycle. We can start by finding the circumference of each wheel and then the linear speed of one revolution of the front sprocket.

Circumference of the front wheel = pi * 19 in. = 59.08 in.

Circumference of the rear wheel = pi * 19 in. = 59.08 in.

Linear speed of one revolution of the front sprocket = Circumference of the front wheel * Arc length on front sprocket / (2 * pi) = 59.08 in. * 6 in. / (2 * pi) = 74.49 in.

Finally, we can find the linear speed of the bicycle by multiplying the linear speed of one revolution of the front sprocket by the number of revolutions per minute made by the cyclist.

Linear speed of the bicycle = Linear speed of one revolution of the front sprocket * Cyclist's pedal rate (RPM) = 74.49 in. * 190 RPM = 14145.1 in./min

So, the linear speed of the bicycle is approximately 14145.1 in./min.

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Which metric unit do you use to measure the amount of gas that a car's gas tank holds? Which metric unit would you use to measure the distance to the next town? Explain why you would use these units and not smaller units.​

Answers

Capacity of the gas tank . . . Liters

Distance to the next town . . . Kilometers

Smaller units would produce bigger numbers.

It's best to use the units that produce the handiest, most convenient numbers.  That way, it's easier to remember the number, write it down without mistakes, and tell other people about it.

Since the unit we will use to measure the volume of gas tank is litre, because its volume is large so it is very difficult to say or learn such big quantity in small units.

Unit and Measurement

What does unit and measurement mean?

Measurement is to find a number that shows the amount of something. A measurement unit is a standard quantity used to express a physical quantity.

What is unit?

A single thing, person, or group forming part of a whole There are 36 units in my apartment building. The least whole number : one. A fixed quantity (as of length, time, or value) used as a standard of measurement An inch is a unit of length. A part of a school course with a central theme.

What is called measurement?

measurement, the process of associating numbers with physical quantities and phenomena. Measurement is fundamental to the sciences; to engineering, construction, and other technical fields; and to almost all everyday activities.

So, the metric unit we would use to measure the distance to the next town is kilometer.

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Calculate the weight of a 65 kg student carrying a 10.0 kg book bag
98 N
735 N
225 N
637 N

Answers

Answer:

735 N

Explanation:

Total mass (m) = mass of the student + mass of the bag

= 65 kg + 10 kg = 75 kg

\(Weight = mg \\ = 75 \times 9.8 \\ = 735 \: N\)

How does the mother get nutrients and oxygen to the embryo?

Answers

Answer:

Oxygen and nutrients from the mother's blood are transferred across the placenta to the fetus through the umbilical cord. This enriched blood flows through the umbilical vein toward the baby's liver. There it moves through a shunt called the ductus venosus. This allows some of the blood to go to the liver.

A rock thrown with speed 12.0 m/sm/s and launch angle 30.0 ∘∘ (above the horizontal) travels a horizontal distance of dd = 17.0 mm before hitting the ground. From what height was the rock thrown? Use the value gg = 9.800 m/s2m/s2 for the free-fall acceleration.
A second rock is thrown straight upward with a speed 6.000 m/sm/s . If this rock takes 1.636 ss to fall to the ground, from what height HH was it released?

Answers

For a projectile thrown with an initial speed v at an angle θ above the horizontal, the maximum height h_max reached and the range R (horizontal distance) it travels are given by: h_max = (v^2 * sin^2 θ) / 2g and R = (v^2 * sin 2θ) / g

where g is the gravitational acceleration 9.8 m/s^2. Given that a rock is thrown with a speed of 12.0 m/s and angle 30° above the horizontal, it travels 17.0 m before hitting the ground. We can find the height it was thrown from using the equation: R = (v^2 * sin 2θ) / g

Rearranging for v^2 gives: v^2 = R * g / sin 2θ

Substituting the given values of R, g, and θ: v^2 = (17.0 m) * (9.8 m/s^2) / sin(2 * 30°)v^2 = 166.71 m^2/s^2

Taking the square root of both sides: v = 12.91 m/s

Now using the equation for maximum height: h_max = (v^2 * sin^2 θ) / 2g

h_max = (12.91 m/s)^2 * sin^2 (30°) / (2 * 9.8 m/s^2)

h_max = 8.92 m

Therefore, the rock was thrown from a height of 8.92 m.

For the second part, the rock is thrown straight upward with a speed of 6.00 m/s. It takes 1.636 s to fall back to the ground. Using the equation h_max = v^2 / 2g, the maximum height reached by the rock is:

h_max = (6.00 m/s)^2 / (2 * 9.8 m/s^2) = 1.83 m

Therefore, the rock was released from a height of 1.83 m.

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A plane is traveling at 300 m/s. How far will it travelin 1 hour?

Answers

Answer:

1080000

Explanation:

300 x 60s=18000m/minute

18000 x 60min=1080000m/h

Explanation:

1. A car travels a distance of 100 km in 2 hours. What is the average speed of the car (km/h)?

Answers

Answer:

50 km/h

Explanation:

d = 100km

t = 2 hours

average speed = total distance/total time

= 100/2  = 50 km/h

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"require people to consider what is right and wrong"

Answers

Yes and no science is a way and show us how to prove right and wrong so it’s important that you put it show they have evidence and experience to back up what is right and wrong

how long will a bus take to travel 150 km at an average speed of 40km/h

Answers

Answer:

3.75 hours

Explanation:

Take 150 divided by 40 = 3.75 hours

Answer:

3.75 hours

Explanation:

The formula for finding time (how long) is t = s/v where s is distance, v is speed and t is time.

We know that the distance that a bus wants to travel is 150 km with an average speed of 40 km/h. Therefore, substitute s = 150 km and v = 40 km/h in the formula:

\(\displaystyle{t=\dfrac{150 \, \text {km}}{40 \, \text {km/h}}}\\\\\displaystyle{t=3.75 \, \text{hours}}\)

Therefore, it’ll take about 3.75 hours for a bus to travel 150 km distance.

In a capacitor, the peak current and peak voltage are related by the:.

Answers

In a capacitor, the peak current and peak voltage are related by the capacitance of the capacitor and the frequency of the alternating current passing through it. This relationship is given by the formula Ipeak = C x Vpeak x 2πf, where Ipeak is the peak current, Vpeak is the peak voltage, C is the capacitance, f is the frequency of the alternating current, and 2π is a constant.

In a capacitor, the peak current and peak voltage are related by the capacitive reactance (Xc). The capacitive reactance is given by the formula Xc = 1/(2πfC), where f is the frequency of the alternating current (AC) signal, and C is the capacitance of the capacitor.

The peak current (Ip) can be calculated using Ohm's Law: Ip = Vp/Xc, where Vp is the peak voltage. So, the peak current and peak voltage are related through the capacitive reactance in a capacitor.

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n a merry-go-round moving with a speed of 4 m/s a 30=kg child is sitting 3 m from its center

Answers

The magnitude of the centripetal acceleration of the child is F = 160 N.

We can solve this problem using the concept of centripetal force. The centripetal force is the force that keeps an object moving in a circular path, and is given by:

\(F = mv^2/r\)

where F is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circle.

In this problem, the 30-kg child is sitting 3 m from the center of the merry-go-round, which is moving with a speed of 4 m/s. We can calculate the centripetal force acting on the child as follows:

\(F = mv^2/r\)

F = (30 kg)(4 m/s)^2/(3 m)

F = 160 N

Therefore, the centripetal force acting on the child is 160 N. This force is provided by the frictional force between the child and the merry-go-round, which allows the child to move in a circular path with the merry-go-round.

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The following question may be like this:

A child (30 kg) sits 4m from the center of a merry-go-round moving at an angular velocity of 2.3 rad/s. What is the magnitude of the centripetal acceleration of the child.

PLEASE HELPPPP!!!!


in the diagram, the direction of a current and the magnetic field around it are shown. describe what would happen to the magnetic field if you increased the number of turns in the coil and reversed the direction of the current

Answers

Answer:

more turns in a coil will make stronger magnet field and reversed direction of the current will change the pole of the magnet

Explanation:

by winding a coil , it concentrates magnetic field of the current in smaller space so more turns of coil mean stonger magnetic field.

explanation for change of direction of current is in pic.

i hope it helps.

PLEASE HELPPPP!!!!in the diagram, the direction of a current and the magnetic field around it are shown.

More turns in a coil will make stronger magnet field and reversed direction of the current will change the pole of the magnet.

What is Current?

By winding a coil , it concentrates magnetic field of the current in smaller space so more turns of coil mean stonger magnetic field.

In a full electrical circuit, current is the rate at which electrons move past a certain point. Current = flow, at its most fundamental level.

The international unit for measuring current is an ampere (AM-pir), sometimes known as an amp. It describes how many electrons.

In a circuit, a current of 1 ampere corresponds to the movement of 1 coulomb of electrons, or 6.24 billion billion (6.24 x 1018) electrons, through a single location in a second.

Therefore, More turns in a coil will make stronger magnet field and reversed direction of the current will change the pole of the magnet.

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11. If a sample known to be about 10,740 years old has 400 carbon-14 atoms, how many atoms were in the sample when the organism died?​

Answers

Answer:

1467 atoms

Explanation:

5730 yrs = carbon 14 half life

10 740 / 5730 = 1.87 half lives

400 = C (1/2)^1.87

C = original = ~1467 atoms

The first spacecraft which did not merely fly bya jovian (or giant) planet, but actually went into orbit around it for an extended period of time was
a. Galileo
b. Einstein
c. Voyager
d. the Hubble Space Telescope
e. Cassini

Answers

Answer:The first spacecraft which did not merely fly by a jovian (or giant) planet, but actually went into orbit around it for an extended period of time was option a, Galileo. The Galileo spacecraft was launched in 1989 and orbited Jupiter for almost eight years, from 1995 to 2003.

Explanation:

a 21 g bullet is accelerated in a rifle barrel 66.5 cm long to a speed of 968 m/s. use the work energy theorem to find the average force exerted on the bullet while it is being accelerated. answer in units of N.

Answers

The force on the bullet of mass 21 g  is 14795.12 N.

What is force?

Force is the product of mass and acceleration.

To calculate the force exerted on the bullet while it is being accelerated, we use the work energy relation below

Formula:

F = mv²/2d...........Equation 1

Where:

F = Forcem = Mass of the bulletv = Velocity of the bulletd = Distance

From the question,

Given:

m = 21 g = 0.021 kgv = 968 m/sd = 66.5 cm = 0.665 m

Substitute these values into equation 1

F = 0.021×968²/(2×0.665)F = 14795.12 N

Hence, the force on the bullet is 14795.12 N.

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what is the definition of physics?

A.the study of living organisms, divided into many specialized fields that cover their morphology, physiology, anatomy, behavior, origin, and distribution

B.the branch of science that deals with the identification of the substance of which matter is composed

C.the branch of science concerned with the nature and properties of matter and energy

D.the branch that deals with the relations of organisms to one another and to their physical surroundings

Answers

Answer:

your answer should be c

Answer:

D.the branch that deals with the relations of organisms to one another and to their physical surroundings

The speed you read on a speedometer is ____.

Answers

Answer:

\(\leq 40\)

Explanation:

So if you’re going 40mph, your speedometer may read up to 50.25mph - but it can never read less than 40mph. In order to stay within the law, carmakers calibrate their speedometers to slightly overreport their vehicles' speeds.

What is a landform created by plate motion?

Answers

Answer: Volcanoes and ridges are landforms that are created by the movement of tectonic plates.

Explanation:

Answer:

Volcanoes and ridges

Explanation: As the bottom plate is heated up by the Earth's hot mantle, a material called magma forms. It rises. Over time magma erupts through the plates. Many such volcanoes are found on "the Pacific Ring of Fire."

What is the twisted ladder shape of the DNA called? 3D model nucleotides double helix single strand

Answers

Answer: double helix

Explanation: Double helix is the description of the structure of a DNA molecule. A DNA molecule consists of two strands that wind around each other like a twisted ladder. Each strand has a backbone made of alternating groups of sugar (deoxyribose) and phosphate groups.

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The twisted ladder shape of the DNA called double helix.

What is DNA?

A polymer made of two polynucleotide chains that coil around one another to form a double helix is called deoxyribonucleic acid. All known organisms and many viruses have genetic information in the polymer that is necessary for their development, operation, growth, and reproduction.

Nucleic acids include DNA and ribonucleic acid (RNA). Nucleic acids are one of the four main categories of macromolecules that are necessary for all known forms of life, along with proteins, lipids, and complex carbohydrates (polysaccharides).

Because the two DNA strands are made up of simpler monomeric units termed nucleotides, they are referred to as polynucleotides.

Each nucleotide is made up of a phosphate group, a deoxyribose sugar, and one of the four nitrogen-containing nucleobases (cytosine [C], guanine [G], adenine [A], or thymine [T]).

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Which measure is of an angle that is coterminal with a 95° angle? 95° – (1,450n)°, for any integer n 95° – (1,080n)°, for any integer n 95° – (780n)°, for any integer n 95° – (340n)°, for any integer n.

Answers

To find a coterminal angle, we need to add or subtract multiples of 360° from the given angle, Measures of angles can be given by 95° – (1,450n)°, for any integer n, 95° – (1,080n)°, for any integer n, 95° – (780n)°, for any integer n, 95° – (340n)°, for any integer n

The question asks about an angle that is coterminal with a 95° angle. Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 360°.

In this case, 95°, we can use any of the options to find coterminal angles.For example, if we choose the option 95° – (1,080n)°, the resulting angles will be coterminal with 95°. By substituting different values of n, we can obtain different coterminal angles such as 985°, -95°, -1,175°, etc

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If you heat an ice bucket of water for several hours until only a small amount of ice remains, the temperature of water will be

Answers

When heating an ice bucket of water for several hours, the temperature of the water will rise to the melting point of ice, which is 0 degrees Celsius (32 degrees Fahrenheit).

Once all the ice has melted, the temperature of the water will not increase significantly, even with continued heating.

Instead, the energy provided by the heat source will be used to convert the remaining ice into water rather than increasing the water's temperature.

This is because the energy is being absorbed by the phase change from solid (ice) to liquid (water), known as latent heat, rather than increasing the kinetic energy of the water molecules.

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to what tension must the strap be adjusted to provide the necessary upward force?

Answers

The tension required to provide the necessary upward force is 74.0 N assuming an angle of 30 degrees between the strap and the vertical axis of the pulley system.

The necessary upward force is 64 N. To determine the tension required to provide this upward force, use the equation for tension:

Tension = force / cos(θ)where θ is the angle between the strap and the vertical axis of the pulley system.

Since the angle is not given, assume it is 30 degrees, which is common for pulley systems.Tension = 64 N / cos(30°)Tension = 74.0 N

In conclusion, the tension required to provide the necessary upward force is 74.0 N assuming an angle of 30 degrees between the strap and the vertical axis of the pulley system.

The equation used to determine the tension is Tension = force / cos(θ), where θ is the angle between the strap and the vertical axis of the pulley system.

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1. Two 500 g point masses are rotating on a light frame at a radius of 0.1 m from a vertical axis. The angular speed of the system is 20 rad s-1. a a) What is the moment of inertia of the system about the axis? b) What is the angular momentum of the system about the axis? c) If the masses were pulled into a radius of 0.05 m by an internal radial force, what would the angular momentum of the system now be? d) What is the new angular speed of each mass? e) By how much did the energy of the masses change?

Answers

(a) The moment of inertia of the system about the axis can be calculated using the formula for the moment of inertia of a point mass rotating about an axis.

(b) The angular momentum of the system about the axis can be determined by multiplying the moment of inertia by the angular speed.

(c) If the masses are pulled into a smaller radius, the moment of inertia will change, resulting in a new angular momentum for the system.

(d) The new angular speed of each mass can be calculated using the principle of conservation of angular momentum.

(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system.

(a) To calculate the moment of inertia of the system about the axis, we consider the two point masses rotating at a given radius. The moment of inertia for each point mass is given by the formula I = m * r², where m is the mass and r is the radius.

Since there are two masses, we can calculate the total moment of inertia by summing the individual moments of inertia.

(b) The angular momentum of the system is determined by multiplying the moment of inertia by the angular speed. Using the formula L = I * ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular speed, we can find the angular momentum of the system.

(c) If the masses are pulled into a smaller radius, the moment of inertia will change. We can calculate the new moment of inertia using the same formula as in (a) but with the new radius. With the new moment of inertia, we can determine the new angular momentum of the system.

(d) To find the new angular speed of each mass, we apply the principle of conservation of angular momentum. The initial angular momentum of the system is equal to the final angular momentum. By rearranging the equation L = I * ω and solving for ω, we can calculate the new angular speed.

(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system. The initial kinetic energy is given by (1/2) * I * ω², where I is the initial moment of inertia and ω is the initial angular speed.

Similarly, the final kinetic energy can be calculated using the new moment of inertia and angular speed. The difference between the initial and final kinetic energies represents the change in energy of the masses.

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Please explain what the above equation shows and justify your answer. Does this equation prove that gamma radiation cannot be produced by this type of nuclear decay? Please explain your answer.

Please explain what the above equation shows and justify your answer. Does this equation prove that gamma

Answers

This is not a gamma radiation because there is a change in the atomic number of the daughter nucleus. It is rather a beta decay.

What is a nuclear decay?

We have to note that when we talk about a decay we are talking about the manner that we can be able to break up the atom of a radioactive substance so that we can be able to produce a new substance.

We can see now that what we have here is the loss of a beta ray or an electron from the specie that is shown. This is evidenced by the change in the atomic number of the daughters nucleus.

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Usain Bolt ran the 100m dash in 9.69 seconds. How fast does he run in the 100m dash?​

Answers

The answer is in the question, it’s 9.69

A type of organism that makes its own food. __________
The highest taxonomic classification of organisms.__________
The process through which organisms make new organisms of the same kind. _______
The taxonomic classification below domains._________
A type of organism that is made of more than one cell and is more specialized and eukaryotic.__________
A characteristic passed from female and male parents to their offspring.________

FILL IN THE BLANKS PLEASEEE WILL GIVE BRAINLIEST AND 50 POINTS

Answers

Answer:

1. An autotroph

2. Domain

3. Reproduction

4. Kingdom

5. Multicellular Organism

6. Genetic trait

Explanation: Took Bio honors 1 & 2

In an amusement park ride called The Roundup, passengers stand inside a 18.0 m-diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure .
A)Suppose the ring rotates once every 4.40 s. If a rider's mass is 59.0 kg, with how much force does the ring push on her at the top of the ride?
B)Suppose the ring rotates once every 4.40 s. If a rider's mass is 59.0 kg, with how much force does the ring push on her at the bottom of the ride?
C)What is the longest rotation period of the wheel that will prevent the riders from falling off at the top?

Answers

a. The ring pushes on the rider with a force of 4.13 × 10^3 N at the top of the ride.

b. The ring pushes on the rider with a force of 5.81 × 10^3 N at the bottom of the ride.

c. The longest rotation period of the wheel that will prevent the riders from falling off at the top is 6.02 s.

A) At the top of the ride, the rider is in circular motion due to the normal force provided by the ring. The force of gravity acts downwards and the normal force acts upwards. The net force acting on the rider at the top is equal to the centripetal force required for circular motion.

The centripetal force is given by:

Fc = mv²/r

where m is the mass of the rider, v is the velocity of the rider in circular motion, and r is the radius of circular motion.

The velocity of the rider can be found from the period of rotation:

T = 2πr/v

v = 2πr/T

Substituting this expression for v into the expression for Fc, we get:

Fc = m(2πr/T)²/r = 4π²mr/T²

At the top of the ride, the normal force is equal to the centripetal force:

Fn = Fc = 4π²mr/T²

Substituting the given values, we get:

Fn = 4π²(59.0 kg)(9.81 m/s²)(9.00 m)/(4.40 s)² = 4.13 × 10³ N

B) At the bottom of the ride, the rider is still in circular motion due to the normal force provided by the ring. The force of gravity acts downwards and the normal force acts upwards. The net force acting on the rider at the bottom is equal to the sum of the centripetal force required for circular motion and the force of gravity:

Fnet = mv²/r + mg

where m is the mass of the rider, v is the velocity of the rider in circular motion, r is the radius of circular motion, and g is the acceleration due to gravity.

Using the same expressions for v and Fc as in part A, we can rewrite the above equation as:

Fnet = Fc + mg = 4π²mr/T² + mg

At the bottom of the ride, the normal force is equal to the net force:

Fn = Fnet = 4π²mr/T² + mg

Substituting the given values, we get:

Fn = 4π²(59.0 kg)(9.81 m/s²)(9.00 m)/(4.40 s)² + (59.0 kg)(9.81 m/s²) = 5.81 × 10³ N

C) The condition for the rider to not fall off at the top of the ride is that the centripetal force required for circular motion is greater than or equal to the force of gravity:

Fc ≥ mg

Substituting the expression for Fc from part A and solving for T, we get:

T ≤ 2π√(r/g)

Substituting the given values, we get:

T ≤ 2π√(9.00 m/9.81 m/s²) = 6.02 s

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The density of silver is 10.49 g/cm3. If a sample of pure silver has a volume of 12.993 cm3, what is the mass?

Answers

Explanation:

Density=mass/volume

mass=x

10.49=X/12.99

X=10.49 X12.99

X=136.29657

mass=136.3g/cm^3

I hope it helped.

A -4.30 μC charge is moving at a constant speed of 7.80×105m/s in the +x-direction relative to a reference frame.
a. At the instant when the point charge is at the origin, what is the magnetic-field vector it produces at point x = 0.500 m, y = 0, z = 0.

Answers

A -4.30 μC charge is moving at a constant speed of 7.80×105m/s in the +x-direction relative to a reference frame. At the instant when the point charge is at the origin, the magnetic field vector it produces at point x = 0.500 m, y = 0, z = 0 is approximately -3.460 × 10^(-5) T, pointing in the negative x-direction.

To determine the magnetic field vector produced by a moving charge at a specific point, we can use the Biot-Savart law. The Biot-Savart law states that the magnetic field at a point due to a current-carrying element is directly proportional to the magnitude of the current and inversely proportional to the distance from the element.

The formula for the magnetic field produced by a moving charge is given by:

B = (μ₀ / 4π) × (q × v × sin(θ)) / r²

Where:

B is the magnetic field

μ₀ is the permeability of free space (4π × 1\(0^(^-^7\)) T·m/A)

q is the charge of the moving particle (in this case, -4.30 μC)

v is the velocity of the charge (7.80 × 1\(0^5\) m/s)

θ is the angle between the velocity vector and the line connecting the charge and the point of interest (in this case, 90 degrees since it is at the origin)

r is the distance between the charge and the point of interest (in this case, 0.500 m)

Plugging in the values:

B = (4π × 1\(0^(^-^7\) T·m/A) × (-4.30 × 1\(0^(^-^6\) C) × (7.80 × 1\(0^5\) m/s) ×sin(90°) / (0.500 m)²

Since sin(90°) equals 1, the equation simplifies to:

B = (4π × 1\(0^(^-^7\)) T·m/A) × (-4.30 × 1\(0^(^-^6\) C) × (7.80 × 1\(0^5\) m/s) / (0.500 m)²

Calculating the expression:

B ≈ -3.460 × 1\(0^(^-^5^)\)T

Therefore, at the instant when the point charge is at the origin, the magnetic field vector it produces at point x = 0.500 m, y = 0, z = 0 is approximately -3.460 × 1\(0^(^-^5^)\) T, pointing in the negative x-direction.

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