A car with mass 1750 kg travels on a flat circular track with radius
80.0 m at constant
speed 35.0 m/s. What is the force of friction between the tires and the road enabling the turn?

The numerical values for the acceleration and tension are 3.52 m/s² and 20.27 N, respectively.

m1 = 5 kg

m2 = 2 kg

theta1 = 60°

theta2 = 30°

mu(k) = 0.2

g = 9.8 m/s² (acceleration due to gravity)

a) Acceleration of the system:

Using the equation:

a = (m1 * g * sin(theta1) - mu(k) * m1 * g * cos(theta1) + m2 * g * sin(theta2) + mu(k) * m2 * g * cos(theta2)) / (m1 + m2)

Substituting the values:

a = (5 * 9.8 * sin(60°) - 0.2 * 5 * 9.8 * cos(60°) + 2 * 9.8 * sin(30°) + 0.2 * 2 * 9.8 * cos(30°)) / (5 + 2)

Calculating the expression:

a ≈ 3.52 m/s²

So, the acceleration of the system is approximately 3.52 m/s².

b) Tension of the rope:

Using the equation:

T = m1 * (g * sin(theta1) - mu(k) * g * cos(theta1)) - m1 * a

Substituting the values:

T = 5 * (9.8 * sin(60°) - 0.2 * 9.8 * cos(60°)) - 5 * 3.52

Calculating the expression:

T ≈ 20.27 N

So, the tension in the rope is approximately 20.27 N.

Therefore, the numerical values for the acceleration and tension are 3.52 m/s² and 20.27 N, respectively.

Learn more about acceleration at: https://brainly.com/question/25876659

#SPJ11

Using the moment of inertia, the mass (m) of the sphere is found to be approximately 6.513 kg.

To find the mass of the sphere, we need to use the formulas for torque and rotational motion.

The formula for torque (τ) is given by:

τ = I × α

Where:

τ = Torque

I = Moment of inertia

α = Angular acceleration

The moment of inertia (I) for a solid sphere rotating about its center is given by:

I = (2/5) × m × r²

Where:

m = Mass of the sphere

r = Radius of the sphere

The formula for angular acceleration (α) is:

α = (ω - ω0) / t

Where:

ω = Final angular velocity

ω0 = Initial angular velocity

t = Time

First, we need to find the final angular velocity (ω) using the given information. We know that the sphere rotates through a total of 400 revolutions in 12.0 seconds. One revolution is equal to 2π radians, so the total angular displacement (θ) is:

θ = 400 revolutions × 2π radians/revolution

θ = 800π radians

The time (t) is given as 12.0 seconds. We can now calculate the final angular velocity:

ω = θ / t

ω = (800π radians) / (12.0 s)

ω ≈ 209.4395 rad/s

Since the sphere starts from rest, the initial angular velocity (ω0) is 0 rad/s. Plugging the values into the formula for angular acceleration:

α = (ω - ω0) / t

α = (209.4395 rad/s - 0 rad/s) / (12.0 s)

α ≈ 17.4533 rad/s²

Now, we can use the formula for torque to find the moment of inertia (I):

τ = I × α

30.0 m·N = I × 17.4533 rad/s²

Since the torque (τ) and angular acceleration (α) are given, we can solve for the moment of inertia (I). Rearranging the equation:

I = τ / α

I = 30.0 m·N / 17.4533 rad/s²

I ≈ 1.7204 kg·m²

Finally, we can use the moment of inertia to find the mass (m) of the sphere:

I = (2/5) × m × r²

1.7204 kg·m² = (2/5) × m × (0.8 m)²

Simplifying the equation:

m = (1.7204 kg·m²) / [(2/5) × (0.8 m)²]

m ≈ 6.513 kg

Therefore, the mass of the sphere is approximately 6.513 kg.

Learn more about the mass of the sphere at

https://brainly.com/question/9222421

#SPJ4

mass of the potassium formed by the passage of 5.92 amps for 1.94 hours through an electrolytic cell that contains a molten potassium salt is 16.41g

Total amount of current in amps = 5.92 Columbus/ sec(I)

total time period = 1.94 h = 1.94 X 3600 sec = 6984 sec(t)

initially electric charge Q is calculated  Q =I X t =41,345.28 Columbus

now molar mass of K is 39.09g/mol and faradays constant = 96485 so by the formula , n=Q/F = 41,345.28/96485 =0.4285mol  now, m = nM where n is number of mol and M is molar mass of K  so 0.42 X 39.09=16.41g

To learn more about mass:

https://brainly.com/question/19694949

#SPJ4

The horizontal force exerted by air resistance on the bucket is 5,210 N.

The horizontal force exerted by air resistance on the bucket is the parallel force on the cable carrying the bucket.

The magnitude of this force is calculated as follows;

Fx = mg cosθ

where;

Fx = (590 x 9.8) x cos(25.7)

Fx = 5,210 N

Thus, the horizontal force on the bucket is determined from parallel force on the rope.

Learn more about horizontal force here: https://brainly.com/question/21684583

#SPJ1

Answer:

The required acceleration is \(a=1.1\) m/s²

Explanation:

Given

To determine

Acceleration a = ?

We know that acceleration is produced when a force is applied to a body.

The acceleration can be determined using the formula

\(F = ma\)

where

now substituting F = 250 , and m = 221 in the formula

\(F = ma\)

\(250 = 221 (a)\)

switch the equation

\(221(a) = 250\)

Divide both sides by 221

\(\frac{221a}{221}=\frac{250}{221}\)

simplify

\(a=\frac{250}{221}\)

\(a=1.1\) m/s²

Therefore, the required acceleration is \(a=1.1\) m/s²

The shape of the graph is linear and increasing which shows that the relationship between height and gravitational potential energy is positive which means that they both increase and decrease together.

The graph of this relationship is linear and increasing, which means that the gravitational potential energy of an object increases directly with its height above the reference point. In other words, the higher the object is lifted, the greater its gravitational potential energy becomes, and vice versa.

This positive relationship shows that height and gravitational potential energy both increase and decrease together.

Find out more on gravitational potential energy at https://brainly.com/question/29490129

#SPJ1

Answer:

To solve this problem, we can use vector addition. We can represent the velocity of the boat as a vector pointing east with magnitude 7 mph, and the velocity of the wind as a vector pointing northwest with magnitude 10 mph.

To add these two vectors, we can break the wind velocity vector into its x and y components, using trigonometry. Since the vector is pointing northwest, we know that it makes a 45 degree angle with both the x and y axes. Therefore, the x component is:

10 mph * cos(45) = 7.07 mph

and the y component is:

10 mph * sin(45) = 7.07 mph

Now we can add the x component of the wind velocity vector to the velocity of the boat, since they are both pointing in the same direction (east):

7 mph + 7.07 mph = 14.07 mph

The y component of the wind velocity vector is pointing north, while the velocity of the boat is pointing east, so we cannot simply add them. Instead, we can use the Pythagorean theorem to find the magnitude of the resultant vector:

sqrt(14.07^2 + 7.07^2) = 15.78 mph

The direction of the resultant vector can be found using trigonometry. The angle between the resultant vector and the east direction is:

tan^-1(7.07/14.07) = 26.56 degrees

Therefore, the boat is sailing at a speed of 15.78 mph in a direction that is 26.56 degrees north of east.

Explanation:

Answer:

450 kgm/s upward

Explanation:

From the question,

Change in monentum = mass× change in velocity

ΔM = mΔv....................... Equation 1

ΔM = m(v-u).................. Equation 2

Where ΔM = Change in momentum, m = mass of the gymnast, v = final velocity, u = initial velocity

Given: m = 50 kg, v = -4 m/s. u = 5 m/s

Substitute these values into equation 2

ΔM = 50(-4-5)

ΔM = 50(-9)

ΔM = -450 kgm/s

Hence the change in momentum of the gymnast is 450 kgm/s upward

Thus Kinetic energy of the object is 200J when mass is 25 kg and velocity is 4 m/s.

Answer:

600Hz

Explanation:

Only gravity acceleration is needed.

If we let gravity be g

I will rename M1 as M₁ for the first mass

I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.

The tension in the string will support the weight of M₂ and will supply the centripetal force required to keep M₁ on a circular path:

M₁v²/R = M₂g

v = √(M₂gR/M₁)

A object of mass M1 travels in a circular path of radius R on a horizontal table. The object is attached to a string that passes through a hole in the center of the table.  An object of mass M2 is attached to the other end of the strings and hangs vertically under the table, which produces a force on M1. All frictional forces are considered to be negligible.

Therefore, Only gravity acceleration is needed.

If we let gravity be g

I will rename M1 as M₁ for the first mass

I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.

Learn more about gravity acceleration on:

https://brainly.com/question/13860566

#SPJ1

The correct answer choice from above about schizophrenia among the choices given above is:

People with schizophrenia are often misdiagnosed as having dissociative identity disorder.

The correct answer choice simply is option a.

Patients with schizophrenia can sometimes or oftentimes be misdiagnosed as having a bipolar disorder simply because they also demonstrate or manifest some psychotic symptoms which is similar to that which is seen in patients with this dissociative disorder. However, this is a serious health condition which should be taken care of with patients suffering from this health condition.

In addition to the said information above, it is very important that a healthcare professional diagnose a patient accurately of a particular condition so that wrong treatment would not be given or administered.

In conclusion, it can be deduced from all said and done above that schizophrenia are sometimes mislikened to a bipolar disorder.

Read more on disorders:

https://brainly.com/question/1754863

#SPJ1

Answer:c

Explanation:ganglandd

Some people object to the inverted pyramid style, saying it has lost its usefulness for a variety of reasons, including- Increased reader sophistication, Lack of drama and Digital media.

The inverted pyramid style, which features the most significant information at the top and the least important at the bottom, is widely used in journalism. However, some individuals object to this style, claiming that it has lost its usefulness for various reasons, including:

Increased reader sophistication: According to some, the pyramid style is unsuitable for a more educated readership. They argue that the inverted pyramid's oversimplification of facts does not meet modern reader expectations.

Lack of drama: Because the inverted pyramid's central event is displayed at the beginning, the story can lose its drama as it unfolds. They also argue that a traditional storytelling approach is better suited for dramatic stories.

Digital media: In recent years, digital media has altered the way news is delivered and consumed. With the advent of click-bait articles and scrollable pages, the inverted pyramid is deemed less effective for digital media platforms. Instead, writers must adapt to the requirements of online audiences and deliver compelling and concise material to grab their attention. Overall, the pyramid-style may still be appropriate for certain articles. However, due to an increasing readership, a focus on storytelling, and changes in digital media, the traditional approach is losing its effectiveness.

To know more about Digital media visit:

https://brainly.com/question/30938219

#SPJ11

The question is asking whether it is possible to find a magnetic vector potential for a given uniform surface current flowing in the xy plane and generating a magnetic field for different regions of space.

To determine whether it is possible to find a magnetic vector potential for the given scenario, we need to consider the conditions that must be satisfied. In general, a magnetic vector potential A can be found if the magnetic field B satisfies the condition ∇ × A = B. This is known as the magnetic vector potential equation.

In the given situation, the magnetic field is different for the regions above and below the xy plane. For z > 0, the magnetic field is described as B = MoK -î, and for z < 0, it is described as B = -MoK -î. To find the magnetic vector potential, we need to determine if there exists a vector potential A that satisfies the equation ∇ × A = B in each region.

By calculating the curl of A, we can check if it matches the given magnetic field expressions. If the curl of A matches the magnetic field expressions for both regions, then it is possible to find a magnetic vector potential for the given scenario. However, if the curl of A does not match the magnetic field expressions, then it is not possible to find a magnetic vector potential that satisfies the conditions.

Learn more about surface Current:

https://brainly.com/question/7947534

#SPJ11

The cork leaves the spring at a speed of 3.02 m/s.

We can use the conservation of energy to determine the speed at which the cork leaves the spring.

The initial potential energy stored in the spring is converted to the kinetic energy of the cork as it leaves the spring. Neglecting air resistance, the conservation of energy equation is:

(1/2) k x^2 = (1/2) m v^2

where k is the spring constant, x is the distance the spring is compressed, m is the mass of the cork, and v is the speed of the cork as it leaves the spring.

Substituting the given values:

(1/2) * 18 N/m * (7.47 cm / 100 cm/m)^2 = (1/2) * 0.009 kg * v^2

Solving for v:

v^2 = (18 N/m * (7.47 cm / 100 cm/m)^2) / 0.009 kg

v^2 = 9.119 m^2/s^2

Taking the square root of both sides:

v = 3.02 m/s

to know more about conservation of energy refer here:

https://brainly.com/question/2137260#

#SPJ11

The acceleration of an object can be split into two components: the tangential and normal components. The tangential component points along the direction of motion and is responsible for changing the speed of the object. The normal component is perpendicular to the direction of motion and is responsible for changing the direction of motion.

In your skiing example, the direction of your acceleration will change as you move uphill, downhill, up a ramp, and make a turn. Therefore, the tangential and normal components of your acceleration will also change in direction and magnitude.

As you ski uphill, your acceleration will be pointing in the opposite direction of your motion, resulting in a negative tangential acceleration. Since your motion is mostly vertical, your normal acceleration will be pointing upwards.

As you ski downhill, your acceleration will be in the same direction as your motion, resulting in a positive tangential acceleration. Your normal acceleration will still be pointing upwards.

When you go up a ramp, your acceleration will be a combination of tangential and normal components. The tangential component will be pointing upwards to match your velocity, and the normal component will be pointing perpendicular to the ramp.

When you land, your acceleration will be mostly normal, as you decelerate your downward motion and start to move horizontally.

Finally, when you make a turn, your tangential acceleration will be pointing in the direction of the turn, while your normal acceleration will be perpendicular to the turn.

Overall, the direction and magnitude of the tangential and normal components of your acceleration will depend on the direction and magnitude of your velocity and the curvature of your path.

To know  more about acceleration:

https://brainly.com/question/2303856

#SPJ1

The electromagnet is a device that requires conducting wires wrapped around the iron core.

For making an electromagnet, the most necessary item is a copper wire.

What is an Electromagnet?

An electromagnet is a device that has conducting wires wrapped around an iron core. When electricity is passed through the wires, a magnetic field is generated. The setup acts as a strong magnet.

In order to make an electromagnet, a current-carrying wire is needed to wrap around a magnetic material. The current-carrying wires will play the role of conducting wires and the conducting wires are necessary to make an electromagnet. These wires can be made of copper.

Thus, we can conclude that for making an electromagnet, the most necessary item is a copper wire.

Learn more about the electromagnet here:

https://brainly.com/question/10060657

Answer:

204 g/ 100 ml

Explanation:

jdrjdjfnfnfjf

Even when we don't know its exact location, a classical particle has a specific position at a specific moment. For a quantum particle, this is no longer valid. The probability densities and energy eigenfunctions for the quantum oscillator go over the boundaries of the conventional turning points.

The analog of the classical harmonic oscillator in quantum mechanics is called the quantum harmonic oscillator. One of the most crucial model systems in quantum mechanics is the arbitrary smooth potential, which is one of the most common ways that a smooth potential can be represented as a harmonic potential at a stable equilibrium point. It is referred to as "harmonic" because the solution of Newton's second law, a second-order differential equation that governs the motion of the item, is a series of sines and cosines of time with a specific frequency, exactly like the outcome.

To know more about  harmonic oscillators

https://brainly.com/question/15870724

#SPJ4

Abiotic variables are particularly essential since they have a direct impact on organisms' ability to live.

Answer:

The answer is 0km

Explanation:

Answer:

tura paulo

Explanation:

sry if im wrong ;)

The plane travels a distance of 325 miles if the airplane travels for 2.5 hours at an average speed of 130 miles per hour. Using the distance formula (d = rt), we can calculate the distance.

To find the distance traveled by the airplane, we can use the distance formula, which is represented as d = rt. In this formula, "d" represents the distance, "r" represents the rate or speed at which the object is traveling, and "t" represents the time taken for the travel.

Given that the airplane travels for 2.5 hours at an average rate of 130 miles per hour, we can substitute these values into the formula. The rate of the airplane is 130 miles per hour, and the time taken is 2.5 hours.

Using the formula, we can calculate the distance traveled as follows:

d = rt

d = 130 mph × 2.5 hours

Multiplying the rate (130 mph) by the time (2.5 hours) gives us:

d = 325 miles

Therefore, the airplane travels a distance of 325 miles during the 2.5 hours of travel at an average rate of 130 miles per hour.

To know more about distance here https://brainly.com/question/30395212

#SPJ4

The new gravitational force between the two heavenly bodies is six times the original gravitational force.

The gravitational force between two heavenly bodies can be calculated using Newton's law of universal gravitation;

F1 = G × (m1 × m2) / r²...eq (1)

gravitational constant = G

mass 1 = m1

mass 2 = m2

radius = r

distance between them constant,

we can calculate the new gravitational force F2 using the formula:

F2 = G × (m1 × m2) / r²; where

gravitational constant = G

mass 1 = 2m1 (doubled)

mass 2 = 3m2 (tripled)

radius = r

on substitution,

F2 = G × (2m1 × 3m2) / r²

= G × (6m1m2) / r²

= 6 × G × (m1m2) / r²

⇒ (G × (m1 × m2) / r² = F1 )...from eq. (1)

= 6 × F1

⇒ F2 = 6F1

Therefore, the new gravitational force will be six times the original gravitational force when one mass is doubled and the other mass is tripled.

Learn more about gravitational force from the given link.

https://brainly.com/question/32609171

If one of the masses in a gravitational system is doubled and the other mass is tripled while keeping the distance between the bodies constant, then the new gravitational force will increase by a multiple of:

6 (2 x 3 = 6)

We know from Newton's Law of Gravitation that the gravitational force between two objects is:

F = G * (m1 * m2) / r^2

Where:

F = Gravitational force

G = Universal gravitational constant

m1 = Mass of first object

m2 = Mass of second object

r = Distance between the objects

Since the distance (r) between the two bodies remains constant in the given scenario, it drops out when calculating the change in force.

We are only concerned with how the change in masses affects the force.

Based on the equation, we can see that the gravitational force is directly proportional to the product of the two masses (m1 * m2).

If one mass doubles and the other mass triples, their product will increase by a multiple of 2 x 3 = 6.

Therefore, the new gravitational force between the two heavenly bodies will increase by a factor of 6, compared to the original gravitational force when only one mass was doubled and the other mass tripled, while keeping the distance constant between them.

Combinatorial control is when multiple factors work together to regulate gene expression, enhancing complexity and fine-tuning regulation.

Combinatorial control alludes to an administrative component where various variables or components cooperate to direct quality articulation. Rather than a solitary variable acting alone, a blend of record factors, coactivators, repressors, and other administrative particles collaborate to decide the statement of a quality.

This system considers exact control and calibrating of quality guideline because of different signs and ecological circumstances. By joining various elements and their communications, combinatorial control empowers an immense range of opportunities for quality articulation designs, adding to the intricacy and variety of cell processes and formative projects.

This system assumes a urgent part in planning quality articulation in multicellular living beings and organizing their development, improvement, and transformation.

To learn more about combinatorial control, refer:

https://brainly.com/question/15517710

3SPJ4

Combinatorial control refers to a regulatory mechanism in which multiple transcription factors work together to regulate gene expression. It allows for fine-tuning of gene regulation and the generation of diverse cellular responses. This mechanism plays a crucial role in development, cell differentiation, and response to environmental cues.

Combinatorial control is a regulatory mechanism in which multiple transcription factors work together to regulate gene expression. Transcription factors are proteins that bind to specific DNA sequences and control the transcription of genes into RNA. In combinatorial control, different combinations of transcription factors act in a coordinated manner to activate or repress gene expression.

This mechanism allows for fine-tuning of gene regulation and the generation of diverse cellular responses. By combining different transcription factors, cells can respond to various signals and stimuli in a specific and precise manner. Combinatorial control plays a crucial role in processes such as development, cell differentiation, and response to environmental cues.

Combinatorial control can occur through various mechanisms. One mechanism is cooperative binding, where multiple transcription factors bind to adjacent DNA sequences and enhance each other's binding affinity. Another mechanism involves protein-protein interactions between transcription factors, allowing them to form complexes that regulate gene expression. Additionally, transcription factors can recruit co-activators or co-repressors to modulate gene expression.

About combinatorial control here:

https://brainly.com/question/32415345

#SPJ11

The total current to be through this circuit will be 1 ampere, if we remove the ohmmeter and attach the battery and set the selected battery voltage to 10 volts.

When the ohmmeter is removed and the battery is attached, setting the selected battery voltage to 10 volts, we can expect the total current to be determined by Ohm's law, which states that the current (I) flowing through a conductor is directly proportional to the voltage (V) applied across its ends and inversely proportional to its resistance (R).

The equation is given as:

I = V/R

Where I = current V = voltage R = resistance

From the information given in the problem, the circuit diagram can be represented as follows:

Total current through the circuit can be calculated by adding the currents through each resistor;

I = I1 + I2 + I3

To find the current through each resistor, we need to calculate the total resistance of the circuit. For resistors in series, we add the individual resistances to get the total resistance.

For resistors in parallel, we use the following formula:

1/Rt = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn

where Rt is the total resistance and R1, R2, R3, ..., Rn are the individual resistances.

The given circuit contains two resistors in series and one resistor in parallel.

Let's first calculate the total resistance of the two series resistors:

Rt1 = R1 + R2 = 10 + 20 = 30 Ω

Now we can find the total resistance of the circuit by using the formula for resistors in parallel:

1/Rt = 1/Rt1 + 1/R3 = 1/30 + 1/15 = 1/10Rt = 10 Ω

Now we can find the total current through the circuit by using Ohm's law:

I = V/RtI = 10/10I = 1 A

Therefore, we can expect the total current to be 1 ampere through this circuit.

Learn more about Ohm's law :https://brainly.com/question/231741

#SPJ11

Answer:

Sexually transmitted diseases are spread by direct contact with bodily fluids.

Explanation:

if you have a disease you can give it to someone by having sex because your fluids go into or either combine

Answer:

B

Explanation:

Explanation:

v = u + at

8 = 0 + a (2) (u=0 at rest)

8 = 2a

a= 4 m/s²