A race track is constructed such that two arcs of radius 80 m at and 40 m at are joined by two stretches of straight track as in Figure 7.8. In a particular trial run, a driver travels at a constant speed of 50 m/s for one complete lap. The ratio of the tangential acceleration at to that at is (a) 1/2 (b) 1/4 (c) 2 (d) The tangential acceleration is zero at both points. The ratio of the centripetal acceleration at to that at is a) 1/2 (b) 1/4 (c) 2 (d) 4 (e) The centripetal acceleration is zero at both points. The angular speed is greatest at (a) (b) (c) It is equal at both and.

Answers

Answer 1
The ratio of the centripetal acceleration at the larger radius to that at the smaller radius is 1/2. The angular speed is greatest at the smaller radius (40 m). The correct option is a.The angular speed is greatest at the smaller radius. The correct options are a, ratio of the centripetal acceleration at the larger radius (80 m) to that at the smaller radius (40 m) is 2. The correct option is c.

The ratio of the tangential acceleration at the larger radius (80 m) to that at the smaller radius (40 m) is 1/4.

The tangential acceleration can be calculated using the formula:

at = r * α

Since the driver is traveling at a constant speed, there is no angular acceleration (α = 0). Therefore, the tangential acceleration is zero at both points.

The ratio of the centripetal acceleration at the larger radius (80 m) to that at the smaller radius (40 m) is 2.

The centripetal acceleration can be calculated using the formula:

ac = v² / r

Since the driver is traveling at a constant speed of 50 m/s, the centripetal acceleration can be calculated as follows:

ac₁ = (50 m/s)² / 80 m

= 31.25 m/s²

ac₂ = (50 m/s)² / 40 m

= 62.5 m/s²

The ratio of ac₁ to ac₂ is 31.25 m/s² / 62.5 m/s² = 1/2.

Therefore, the ratio of the centripetal acceleration at the larger radius to that at the smaller radius is 1/2.

The angular speed is greatest at the smaller radius (40 m) (b).

The angular speed (ω) can be calculated using the formula:

ω = v / r

ω1 = 50 m/s / 80 m

= 0.625 rad/s

ω2 = 50 m/s / 40 m

= 1.25 rad/s

The angular speed is greater at the smaller radius (40 m) compared to the larger radius (80 m).

Therefore, the angular speed is greatest at the smaller radius. The correct options are a and c respectively.

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Your question seems incomplete, the probable complete question is:

A race track is constructed such that two arcs of radius 80 m at and 40 m at are joined by two stretches of straight track as in Figure 7.8. In a particular trial run, a driver travels at a constant speed of 50 m/s for one complete lap. The ratio of the tangential acceleration at to that at is (a) 1/2 (b) 1/4 (c) 2 (d) The tangential acceleration is zero at both points. The ratio of the centripetal acceleration at to that at is a) 1/2 (b) 1/4 (c) 2 (d) 4 (e) The centripetal acceleration is zero at both points. The angular speed is greatest at (a) (b) (c) It is equal at both and.

A Race Track Is Constructed Such That Two Arcs Of Radius 80 M At And 40 M At Are Joined By Two Stretches

Related Questions

when the balloon hits the ground, it rebounds slightly. what is the source of the energy for this rebound?

Answers

When the balloon hits the ground, the rubber envelope stretches, storing elastic potential energy; this elastic potential energy is transfigured to the gravitational potential. It is a correct answer.

What is potential energy?

Stored energy that depends upon the relative stand of different parts of a system is called potential energy. A spring has more potential energy when it is stretched.

What is gravitational potential?

A position is equal to the work per unit mass that would be needed to move an item to that position from a fixed reference position is called gravitational potential.

When the balloon hits the ground, the rubber envelope stretches, storing elastic potential energy; this elastic potential energy is transfigured to the gravitational potential. It is a correct answer.

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Suppose the capacity of each machine in Station 1 in the Littlefield Technologies game is 15 contracts per day. Suppose there are 5 machines in this station. The utilization of this station is 82%. On average, there are 24 contracts in this station (either in the waiting line or on the machines). Compute the flow time in this station in hours (assume a day is 24 hours). Enter your answer in terms of HOURS with ONE decimal point.

Answers

The flow time in Station 1 is approximately 10.6 hours, calculated by dividing the total contracts in the station by the actual processing rate.

To calculate the flow time in Station 1, we need to divide the total number of contracts in the station (24) by the total processing capacity of the station (75 contracts per day). This will give us the average time it takes for a contract to flow through the station.

Calculate the total processing capacity of Station 1

The capacity of each machine is 15 contracts per day, and there are 5 machines in Station 1. Therefore, the total processing capacity of Station 1 is 15 contracts/machine * 5 machines = 75 contracts per day.

Calculate the utilization of Station 1

The utilization of Station 1 is given as 82%. Utilization is calculated by dividing the actual processing rate by the maximum processing capacity. So, we can calculate the actual processing rate as 82% of the total processing capacity: 0.82 * 75 contracts per day = 61.5 contracts per day.

Calculate the flow time

The flow time is calculated by dividing the total number of contracts in the station by the actual processing rate. In this case, there are 24 contracts in the station and the actual processing rate is 61.5 contracts per day. Therefore, the flow time in Station 1 is 24 contracts / 61.5 contracts per day = 0.39 days.

Since we need the answer in terms of hours, we can multiply the flow time by 24 (hours in a day) to convert it: 0.39 days * 24 hours/day = 9.36 hours.

Rounding this to one decimal point, the flow time in Station 1 is approximately 10.6 hours.

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A train traveled at an average speed of 80 mph for 4.2 hours. Then, it traveled at an average speed of 60 mph for 1.5 hours. What was the total distance covered by the train?

Answers

Answer:

The answer is four hundred twenty six or 426

Answer:

426

Explanation:

name two powers of the president

Answers

Answer:

The President can issue executive orders, which direct executive officers or clarify and further existing laws.

The President also has the power to extend pardons and clemencies for federal crimes.

Explanation:

8Why do ionic
compounds tend to
have high meling
and boiling points?

Answers

Answer: Ionic compounds have high melting points and boiling points because the electrostatic forces of attraction between oppositely charged ions are strong and large amount of energy is require to separate the ions.

Explanation:

Question 11 of 25
A hot stove coil gives off a visible range of light whose color depends on its
temperature. Which model of light does this example support?
A. The particle model
O B. The photoelectric model
C. The interference model
D. The wave model
SUBMIT

Answers

Answer:

A. The particle model

Explanation:

The particle model

Suppose you jump straight up with a velocity of 3 m/s. How high could you jump on the moon, where the acceleration due to gravity is about 1.6 m/s/s?

Answers

Answer:The maximum height you could jump on the moon with a velocity of 3 m/s is 4.5 meters.

Explanation:

To calculate the maximum height that you could jump on the moon, you can use the following formula:h = (v^2) / (2 * g)where h is the maximum height, v is the initial velocity, and g is the acceleration due to gravity. On the moon, g is approximately 1.6 m/s^2. Substituting the values, we get:h = (3^2) / (2 * 1.6) = 4.5 m

So the maximum height you could jump on the moon with a velocity of 3 m/s is 4.5 meters.

In this activity, you will analyze the motion of a cart being pulled up an inclined plane at a constant speed. The angle of the incline can be modified by 10 degrees increments between the values of 30 degrees and 90 degrees. Three different masses can be selected - 2.0kg, 3.0kg, and 4.0kg in each simulation the cart is pull d to the same height - 1.0 meter above the original starting position. For each simulation, the force that must be applied is reported on the screen. The displacement of the cart can be measured using the cm-ruler that is displayed for each trial. Can some help me

In this activity, you will analyze the motion of a cart being pulled up an inclined plane at a constant

Answers

Answer:

darn this too much lololpop

what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?

Answers

The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.

Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.

Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.

Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.

Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.

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what is the approximate length of an astronomical unit

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An astronomical unit (AU) is approximately 149.6 million kilometers (93 million miles), representing the average distance between the Earth and the Sun.

represent distances within the Solar System. It is approximately equal to the average distance between the Earth and the Sun.The current accepted value for the length of an astronomical unit is approximately 149.6 million kilometers (93 million miles) or about 8.3 light minutes. This value provides a useful reference for measuring distances within our Solar System.The AU is frequently used to express distances between planets, asteroids, and other celestial bodies in our solar system.

For example, the average distance from the Sun to Earth is approximately 1 AU, while the average distance from the Sun to Mars is about 1.5 AU.

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Using the Skygazer's Almanac for 2022 at 40 degrees.
What day will Venus and Saturn be in opposite parts of the sky
this year?

Answers

According to the Skygazer's Almanac for 2022 at 40 degrees, Venus and Saturn will be in opposite parts of the sky on December 17, 2022.

The Skygazer's Almanac provides astronomical information for a specific location and year. In this case, at a latitude of 40 degrees, the almanac indicates that Venus and Saturn will be in opposite parts of the sky on December 17, 2022. This means that Venus and Saturn will appear at opposite sides of the celestial sphere as observed from Earth. However, it's important to note that the almanac's predictions are approximate and can be influenced by various factors, including atmospheric conditions and the observer's specific location. To obtain the most accurate and up-to-date information, it is recommended to consult more recent astronomical sources or use specialized software that can provide precise positions and dates for celestial events.

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atmospheric molecules do not fly off into outer space because of

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Atmospheric molecules do not fly off into outer space due to the presence of gravity. The earth's gravity is strong enough to hold the molecules within its atmosphere and prevent them from escaping into space.

Atmospheric molecules are held in place by the earth's gravitational field. This is why they do not fly off into space. The gravitational force on earth is strong enough to hold the air molecules within its atmosphere. As a result, the molecules are unable to escape into space.Atmospheric molecules are constantly in motion, colliding with one another and with other objects in the atmosphere. These collisions transfer energy between the molecules, creating air pressure. The pressure exerted by the air molecules decreases as you go higher in the atmosphere. At some point, the pressure becomes so low that the air molecules cannot stay together. This is known as the exosphere. At this point, the air molecules can escape into space.However, most atmospheric molecules do not reach the exosphere because the gravitational force on earth is strong enough to hold them in place. As a result, the molecules remain within the earth's atmosphere, where they play an important role in regulating the earth's climate.

In conclusion, atmospheric molecules are held in place by the earth's gravitational field. This is why they do not fly off into space. The gravitational force on earth is strong enough to hold the air molecules within its atmosphere. The atmospheric molecules play an important role in regulating the earth's climate, and their presence is essential to life on earth.

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True or False? Circulation, sensation, and movement should be checked before you apply any splint and afterwards only if the victim reports a problem

Answers

It is accurate to say that circulation, sensation, and movement should be checked before applying any splint, and afterward, only if the victim reports a problem.The given statement is true.

It is true that circulation, sensation, and movement should be checked before you apply any splint, and afterward, only if the victim reports a problem. Splinting is a procedure that involves immobilizing a broken bone in order to aid in its recovery. The goal of splinting is to immobilize the affected limb so that it is unable to move.

It is, however, critical that a first aider evaluate the circulation, sensation, and movement of the affected limb before applying the splint. This will ensure that the splinting procedure does not cause more harm than good if there is already damage that could be exacerbated

The best way to treat fractures and breaks is to stabilize the injury site to prevent further damage. Splinting is a technique for immobilizing a broken bone or limb that is both effective and easy. It's critical to examine the injured limb for circulation, sensation, and movement before applying a splint to ensure that the injury isn't made worse. After a splint has been applied, the injured person's circulation, sensation, and movement should be checked again only if they report a problem. Finally, if there is any question about the severity of the injury, it is advisable to seek medical attention immediately.The given statement is true.

Therefore, it is accurate to say that circulation, sensation, and movement should be checked before applying any splint, and afterward, only if the victim reports a problem.

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An electric field is defined along the x-axis by the function . what is v(g)-v(h), where g=1.5m and h=6m?

Answers

An electric field is defined along the x-axis by the function then if g=1.5m and h=6m, then v(g)-v(h) = 7768.40V.

Explain what the electric field is.

When charge is present in any form, a point in space has an electric field that is connected to it.

The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.

What is the formula for the electric field?

Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. The electric field’s equation is given as E = F / Q.

E = + 5 x^4 x^n

Also, E = -x^n r/rx (v)

⇒ 5 x^4 x^n = -x^n r/rx (v)

⇒ v = - ∫ 5 x^4 dx

⇒ v = -5 x^5/5

⇒ v = - x^5 v

So, v(g) - v(h) = - (1.5)^5 + (6)^5

= -7.59375 + 7776

=7768.40 V

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a bicycle wheel with mass 44.6 kg and radius 0.260 m has an axle through its center and can rotate without friction. assume that all the mass of the wheel is found in the rim. starting from rest, a constant force 30.5 n is applied tangentially at the rim of the disk (visualize a hand pushing the bicycle wheel to get it spinning, but imagine that the force is applied constantly as the wheel speeds up, causing it to accelerate its rotation).

Answers

The force of 30.5 N applied tangentially at the rim of the bicycle wheel with a mass of 44.6 kg and a radius of 0.260 m will result in an acceleration of approximately 0.687 m/s².

The torque, or turning force, applied to the bicycle wheel is equal to the force applied at the rim multiplied by the radius of the wheel, according to the equation τ = Fr, where τ is the torque, F is the force, and r is the radius. In this case, F = 30.5 N and r = 0.260 m.

The moment of inertia, which measures the resistance of the wheel to rotational motion, is given by the equation I = ½mr², where m is the mass of the wheel and r is the radius. In this case, m = 44.6 kg and r = 0.260 m.

Using the torque and moment of inertia, we can apply Newton's second law for rotational motion, which states that τ = Iα, where α is the angular acceleration. Substituting the values we have, we get Fr = ½mr²α.

Rearranging the equation to solve for α, we get α = (2Fr) / (mr²). Plugging in the given values for F, m, and r, we can calculate α as follows:

α = (2 * 30.5 N * 0.260 m) / (44.6 kg * (0.260 m)²)

α ≈ 0.687 m/s²

Therefore, the acceleration of the bicycle wheel's rotation due to the applied force is approximately 0.687 m/s².

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Discribe what it means to veiw something from frame ro reference. Give an example to illustrate your explanation.

Answers

Hi There!!

In physics, the concept of a frame of reference is used to specify the perspective from which an object or event is observed.

1). A frame of reference is where the measurements or observations will be made. Because of this, observing an event may be different when changing from one frame of reference to another, because the measurements will be different.

2). Defining frames of reference is necessary because the movement is relative, it may be that from our perspective or from a frame of reference on earth we are at rest, but seen from a frame of reference in space, we are in motion due that the earth is always moving.

3). Another example of frames of reference is a moving plane. Seen from the ground an object in the plane moves at the speed at which the plane travels, but if the frame of reference is fixed on the plane, the object is at rest.

Hope This Helps!!

\(Loserbrazts\) ༼ つ ◕_◕ ༽つ

Places where particles of the medium spread farther apart are called:__________

Answers

Places where particles of the medium spread farther apart are called: rarefactions

What causes particle dispersion?

There is a lot of vacant space between particles with a lot of kinetic energy that aren't very attracted to one another. Gas particles travel at high speeds and clash with one another, causing them to diffuse, or spread out, until they are uniformly distributed across the container's volume.

Frequency is the quality of waves that does not change when they go from one medium to another. When a wave goes from one medium to another, its wavelength and speed change.

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fill in the blanks

11) Stored energy is called ________ energy.

12) When you move your hand or foot, your body has converted potential energy into ________ energy.

13) When coasting while roller skating, you eventually stop due to ________.

14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.

Answers

11) potential energy

A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. What is the momentum of the rocket?

Answers

A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.

According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.

A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.

We are required to determine the momentum of the rocket.

Consider the fuel-filled rocket as a system.

We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas

We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.

Therefore: Momentum of rocket = - momentum of expelled gas

The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.

Hence, the momentum of the rocket is -1500 kg m/s.

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During a canoe trip camper paddles distance of 406 M and 70 seconds what is the average speed of the canoe

Answers

Answer:

The average speed is 5.8 m/s

Explanation:

I just did it

13. A hydraulic lift system utilizes one 4.25-in diameter cylinder. Workers must determine how much the
system is capable of lifting before deciding how much weight can be lifted safely. The system runs at a gauge
pressure of 2500-lb/in².
a. Sketch and label all known and unknown values.
b. What is the area of the piston?
c. How much is the system capable of lifting?

Answers

The area of the piston is approximately 14.205 square inches.

The system is capable of lifting approximately 35,512.5 pounds.

How to solve

Known values:

Diameter of the cylinder: 4.25 inches

Gauge pressure of the system: 2500 lb/in²

Unknown values:

Area of the piston (A)

Lifting capacity of the system (F)

b. What is the area of the piston?

To calculate the area of the piston (A), we need to use the formula for the area of a circle, since the piston is circular. The formula is:

A = π * (d/2)^2

where d is the diameter of the piston, and π is the constant Pi (approximately 3.14159).

A = π * (4.25/2)^2

A ≈ 3.14159 * (2.125)^2

A ≈ 3.14159 * 4.515625

A ≈ 14.205 sq inches

The area of the piston is approximately 14.205 square inches.

c. How much is the system capable of lifting?

To determine the lifting capacity of the system (F), we can use Pascal's law, which states that pressure is distributed evenly in a fluid. The formula for the force exerted by the hydraulic fluid is:

F = P * A

where F is the lifting capacity, P is the gauge pressure, and A is the area of the piston.

F = 2500 lb/in² * 14.205 in²

F = 35512.5 lb

The system is capable of lifting approximately 35,512.5 pounds. Keep in mind that safety factors must be considered when determining the safe lifting capacity in a real-world scenario.

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What is the answer for the first part of a? In kN

What is the answer for the first part of a? In kN

Answers

We are asked to determine the magnitude of the force that acts parallel to the nail. To do that we will add the torque that acts on the point of contact. First, we draw a free-body diagram of the situation:

We have decomposed the force of the nail into its horizontal and vertical components. The horizontal component does no torque since there is no distance parallel to the force to the point of contact.

Now, we add the torques. We consider counterclockwise as positive:

\(\Sigma T=-(30cm)F+(5cm)(R_y)\)

Since we consider the moment before there is no angular acceleration the sum of torques adds up to zero:

\(-(30cm)F+(5cm)(R_y)=0\)

Now, we determine the value of Ry as a function of "R" using the trigonometric function cosine:

\(\cos \theta=\frac{R_y}{R}\)

Now, we multiply both sides by "R":

\(R\cos \theta=R_y\)

Now, we substitute in the sum of torques:

\(-(30cm)F+(5cm)(R\cos \theta_{})=0\)

Now, we solve for "R". First, we add "30F" to both sides:

\((5cm)(R\cos \theta)=(30cm)F\)

Now, we divide both sides by 5cm:

\((R\cos \theta)=\frac{(30cm)F}{5cm}\)

Now, we divide both sides by cosine:

\(R=\frac{(30cm)F}{5cm\cos \theta}\)

Now, we substitute the values:

\(R=\frac{(30cm)(155N)}{(5cm)\cos 26.9}\)

Solving the operations:

\(R=1042.8N\)

Therefore, the force on the nail is 1042.8 Newtons.

What is the answer for the first part of a? In kN

Please awnser as fast as you can, I will give 30 points.
Why is there wind on mars and how is there wind on mars?

Answers

Answer:

Because the atmosphere is so thin, high wind velocities are needed to move sand and dust.

Two identical blocks are attached to the same massless rope, which is strung around two massless, frictionless pulleys. A massless scale is connected to the same rope and measures the tension in the rope. The two identical blocks are released from the rest. The experiment is then repeated with two new blocks, with masses m1 and m2. When they are released from rest, the system remains at rest, and the scale measures the same tension as in the previous experiment. Find m1 and m2 in terms of m.

Answers

Answer:

The value of mass 1, m1= 6/5m

The value of mass 2, m2= 3/5m

Explanation:

case 1:

here tension and the acceleration will be:

for m1;

mg-T=ma2mg - 2T = 2ma  .....1.

for m2:

2T-mg = ma/2 ..... 2.

adding the both equations,

2mg - 2T + 2T-mg = 2ma + ma/2

a = 2/5 g

putting the value of a into the equation 1.

mg - T = m* (2/5)g

T = 3/5 ( mg )

now

case 2:

The two identical blocks are released from the rest, the tension remains the same as the case 1.

so,

for m1:

2T-m2g=0

for m2:

2m2g - 2T =0

adding both equations we get,

2T-m2g + 2m2g - 2T = 0

m2 = m1 / 2

T = m1*g / 2

here we know that

T (case1) = T (case2)

3/5 ( mg ) = m1*g / 2

m1 = 6/5 m

hence

m2 = 3/5 m

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Particles q1 = -20.5 UC, q2 = -9.30 uC, and q3 = -31.6.0 uC are in a line. Particles q, and q2 are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right

Answers

The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.

The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.

The force on particle q2 due to q1 will be:

F1 = k * (q1 * q2) / (0.980m)^2

The force on particle q2 due to q3 will be:

F2 = k * (q2 * q3) / (0.750m)^2

The net force acting on q2 will be the vector sum of F1 and F2.

Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.

Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.

Find the minor measurement of the vernier scale by taking 49, 1mm divisions of the main scale and dividing it into 50 vernier divisions.​

Answers

♨ANSWER♥

length of V-50 = 49mm

length of V-1 = 49/50mm

= 0.98mm

so,

minor measurement = (M-1) - (V-1)

= 1mm -0.98mm

= 0.02mm

☆ Therefore,

The minor measurement of the vernier scale is 0.02mm.

...hope this helps...

_♡_mashi_♡_

NASA is conducting a test with the Perseverance Rover to investigate the gravity on Mars. They test a pendulum with a length of L on the Earth and find it has a period of 1.0 s. The Perseverance Rover has a similar pendulum with a length of L/2. If the acceleration due to gravity on Mars is 1/3 the acceleration due to gravity on the Earth, what is the period of the Perseverance Rover's pendulum on Mars?

Answers

If the time period of the pendulum in earth is 1 seconds, then the length  L is 0.24 m. If length in mars is L/2 and acceleration due to gravity is 1/3rd of that of earth, the time period of the pendulum on mars is 1.216 seconds.

What is time period of oscillation ?

The time period of oscillation of a pendulum is the time taken to complete oscillation. It is related to the length l, and acceleration due to gravity g as:

T = 2π √l/g

T for earth = 1 s

g for earth = 9.8 m/s²

then l = T/4π² × g

l = 1/4π²× 9.8 m/s²

 = 0.24 m

If in mars L = L/2 = 0.24 /2 = 0.12 m

g = 9.8 m/s²/3 = 3.22m/s²

Then time period T = 2π × √0.12 m/3.22m/s²

T = 1.216 s.

Therefore, the time period of the Rover's pendulum in mars is 1.216 seconds.

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a)What is the current I 1 through the resistor R 2?

b) What is the the potential difference across each of the two resistors R2,R3?

a)What is the current I 1 through the resistor R 2?b) What is the the potential difference across each

Answers

In this given circuit, there are two resistors, R2 and R3 connected in series with a battery of 12 V as shown below;\(\Delta V = V = 12 V\)Let us first find the total resistance of the circuit.

Using the formula, resistances in series add up to give the total resistance of the circuit\(R_T = R_2 + R_3 = 8\ \Omega + 12\ \Omega = 20\ \Omega\)

Using Ohm's Law; the current through the circuit can be calculated as follows;

\(I_T = \frac{V}{R_T} = \frac{12\ V}{20\ \Omega} = 0.6\ A\)

Thus, the current through each of the resistors, R2 and R3 is the same and it is equal to the total current of the circuit;\(I_1 = I_2 = 0.6\ A\)

The potential difference across each of the two resistors, R2 and R3 is different because of the difference in resistance. Using Ohm's Law, the potential difference across each resistor can be calculated as follows;

\(\Delta V_2 = V_{R_2} = I_2 \cdot R_2 = 0.6\ A \cdot 8\ \Omega = 4.8\ V\)

\(\Delta V_3 = V_{R_3} = I_2 \cdot R_3 = 0.6\ A \cdot 12\ \Omega = 7.2\ V\)

Thus, the potential difference across resistor R2 is 4.8 V and across resistor R3 is 7.2 V.

For such more question on Ohm's Law

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Help I need a answer to this

Help I need a answer to this

Answers

Answer:

1700 Joules

Explanation:

Work=force x distance

Force = 170 kg

Distance= 10 Meters

170 x 10 = 1700 Joules of work

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Answer:

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