A 300-kg bear grasping a vertical tree slides down at constant velocity. the friction force between the tree and the bear is:_________
a. 30 n.
b. 300 n.
c. 3000 n.
d. more than 3000 n.

Answers

Answer 1

3000 N of friction exists between the bear and the tree.

How does friction force work?

Friction is the force that prevents two solid objects from rolling or sliding over one another. Even though frictional forces, such as the traction required to walk without slipping, may be advantageous, they can also be a significant hindrance to motion.

Between solid surfaces, there are three basic types of friction:

RollingSliding.Static.                                                                                                                   They are graded from strongest to weakest. Fluid friction happens when liquids or gasses are mixed together.

Explanation:

The bear goes down at a constant speed, thus there is no acceleration. The forces add up to zero. As a result, upward friction and downward weight result in zero  

i.e.,

F-mg=0

F = mg

F = (300 kg)/10 \(m/s^{2}\) (gravitational acceleration)

3000 N frictional force equals F.

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Related Questions

when a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied: group of answer choices (b) there is a large increase in the magnetic induction (b) (a) the magnetic induction (b) is decreased both a

Answers

When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Ferromagnetic materials, such as iron, nickel, and cobalt, have unique properties that make them highly responsive to magnetic fields. When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, several factors contribute to the increase in magnetic induction (B):Alignment of Magnetic Domains: In the absence of an external magnetic field, the magnetic domains within a ferromagnetic material are randomly oriented, resulting in a net magnetic moment of zero. However, when a magnetic field is applied, the domains align themselves in the direction of the field, leading to an increase in the overall magnetic induction.Magnetic Saturation: Ferromagnetic materials have a saturation point, beyond which further increase in the magnetic field does not significantly increase the magnetic induction. This saturation point is typically higher than that of other magnetic materials, allowing ferromagnetic materials to exhibit a larger increase in magnetic induction.Amplification of Magnetic Field: The presence of a ferromagnetic material within an electromagnetic coil enhances the magnetic field generated by the coil. This phenomenon is known as magnetic amplification or magnetic flux concentration. The ferromagnetic material acts as a magnetic conductor, guiding and intensifying the magnetic field lines, resulting in a larger magnetic induction.In contrast, option (a) stating that the magnetic induction (B) is decreased is incorrect. When a ferromagnetic material is subjected to an external magnetic field, the magnetic induction increases due to the alignment of magnetic domains and the amplification of the magnetic field.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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The air inside a hot-air balloon has an average temperature of 78.0 ∘C. The outside air has a temperature of 21.8 ∘C. What is the ratio of the density of air in the balloon to the density of air in the surrounding atmosphere?

Answers

The ratio of the density of air in the balloon to the density of air in the surrounding atmosphere is approximately 1.186.

How to calculate the ratio of the densities of air in the balloon and the surrounding atmosphere?

To calculate the ratio of the density of air in the balloon to the density of air in the surrounding atmosphere, we can use the ideal gas law.

The ideal gas law is given by:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin.

The density of air (ρ) is related to the pressure, volume, and temperature by the equation:

ρ = (P / RT)

We can use this equation to compare the densities of air in the balloon and the surrounding atmosphere.

Let's denote the density of air inside the balloon as ρ_balloon and the density of air in the surrounding atmosphere as ρ_atmosphere.

The ratio of the densities can be expressed as:

Ratio = ρ_balloon / ρ_atmosphere

Using the ideal gas law equation, we can rewrite the ratio as:

Ratio = (P_balloon / RT_balloon) / (P_atmosphere / RT_atmosphere)

Since the pressure and gas constant are the same for both the balloon and the atmosphere, they cancel out in the ratio expression.

The temperature needs to be converted to Kelvin:

T_balloon = 78.0 °C + 273.15 = 351.15 K

T_atmosphere = 21.8 °C + 273.15 = 295.95 K

Now, we can calculate the ratio:

Ratio = (T_balloon / T_atmosphere)

Substituting the given values:

Ratio = 351.15 K / 295.95 K

Ratio ≈ 1.186

Therefore, the ratio of the density of air in the balloon to the density of air in the surrounding atmosphere is approximately 1.186.

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the balloon rocket is held in place by a force f. the pressure inside the balloon is 12 in-h2o, the nozzle diameter is 0.4 cm, and the air density is 1.2 kg/m3. find the exit velocity v and the force f

Answers

The F = 0 and there is no force holding the balloon in place. This is consistent with the fact that the exit velocity is imaginary, to find the exit velocity v of the balloon rocket, we can use the Bernoulli's equation:
P1 + 1/2 * ρ * v1^2 = P2 + 1/2 * ρ * v2^2


In the above equation, P1 is the pressure inside the balloon (12 in-h2o), ρ is the air density (1.2 kg/m3), v1 is the velocity of air inside the nozzle (which we assume to be negligible), P2 is the atmospheric pressure outside the balloon (which we assume to be 1 atm), and v2 is the exit velocity of air from the nozzle (what we're trying to find).

First, let's convert the pressure inside the balloon from in-h2o to Pa:
12 in-h2o = 298.9 Pa

Now, we can rearrange the equation to solve for v2:
v2 = sqrt((P1 - P2) / (0.5 * ρ))
v2 = sqrt((298.9 - 101325) / (0.5 * 1.2))
v2 = sqrt(-83644.2)
v2 = imaginary number (not physically possible)

It appears that the exit velocity is imaginary, which means there is no solution. This could be due to the fact that the force holding the balloon in place is not strong enough to overcome the pressure inside the balloon.

To find the force F holding the balloon in place, we can use Newton's second law:
F = m * a

Where m is the mass of the balloon rocket and a is the acceleration of the rocket.
Assuming that the rocket is stationary (not moving), then a = 0.

Therefore, F = 0 and there is no force holding the balloon in place. This is consistent with the fact that the exit velocity is imaginary, as there would be no force holding the balloon in place if the pressure inside the balloon is greater than the force holding it in place.

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Ash is working in the lab, and comes across a box of unlabeled resistors (thanks to his messy coworker who never puts them back properly).
He remembers that he can find out the resistance using an ammeter to measure current, and a battery with a known voltage.
Ash picks a resistor of unknown resistance (in Ω), connects it to some wires, and then plugs in a battery with a voltage of 29.7 V. This creates a circuit. Using the ammeter, he finds that the current in the circuit is 4.8 A.
In ohms, what is the resistance of the unknown resistor?
Answer: _____Ω.

Answers

In ohms, the resistance of the unknown resistor is 6.19 amps.

What is the ohm's law?

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

Therefore in ohm's law, V = IR

V = voltage

I = current

R = resistance

To calculate the resistance, we have

R = V/I

where Voltage = 29.7

Current , I = 4.8

Resistance= 29.7/ 4.8 = 6.19 amps

In conclusion, Ohm's Law is a formula used to calculate the relationship between voltage, current and resistance in an electrical circuit.

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Billiard balls moving across a pool table is an example of _____ friction.

Answers

It is an example of rolling friction because balls roll.

Answer is ROLLING

Ozzie estimates the weight of his cat to be 10 pounds. The actual weight of the cat is 7 pounds. Find
the percent error in his estimation.

Answers

Answer:

The percent error in his estimation is 30%

Explanation:

Percentage error = |UA- UE| \ UE × 100

UA= Actual value = 7 pounds

UE = Expected value = 10 pounds

Percent error of his estimate = ∣7-10∣ / 10 ×100

= ∣-3∣ / 10 × 100

= 30%

Let's assume that you are lost at sea on an old ship. It is possible to determine your longitude if you know your solar time and the time and longitude of another location. As an example, assume the last port you were in was near Greenwich, England (the Prime Meridian), and you set your pocket watch before departure. Assuming that it is solar noon at your location on the lost ship, what is your longitude if the time at the Prime Meridian is 12:30AM ? Use the format of 45 W or 37.5E (notice no space) We in California fall into into these lines of latitude: 32∘30′N to 42∘N and these lines of longitude: 114∘8′W to 124∘24′W. Lake Tahoe where the line that separates us from Nevada and then goes diagonally to the Colorado River, is located at 39∘N and 120∘W longitude. It is currently solar noon (subsolar point), what would be the solar time at 15∘W ? (time should be reported in this format) 7:17 am or 12:20pm (with the ":" and the "am" "pm" designation).

Answers

The longitude of the lost ship, assuming solar noon at the location and a time of 12:30 AM at the Prime Meridian, would be approximately 7.5 W.

To determine the longitude, we can use the concept of solar time and the time difference between the location of the lost ship and the Prime Meridian. Solar time is based on the position of the Sun in the sky, and it varies as we move across different longitudes.

Given that it is solar noon at the lost ship's location, it means the Sun is directly overhead at that moment. However, at the Prime Meridian (Greenwich, England), the time is 12:30 AM. The time difference between the two locations is 12 hours and 30 minutes.

Since each hour corresponds to 15 degrees of longitude (360 degrees divided by 24 hours), we can calculate the longitude by dividing the time difference by 1 hour per 15 degrees. In this case, the time difference of 12 hours and 30 minutes corresponds to 7.5 hours, which translates to 7.5 times 15 degrees, resulting in a longitude of 112.5 degrees west or 7.5 W.

As for the second part of the question, if Lake Tahoe is located at 120 degrees west longitude and it is currently solar noon, we can determine the solar time at 15 degrees west longitude. Each degree of longitude corresponds to 4 minutes of time (360 degrees divided by 24 hours), so the time difference between 120 degrees west and 15 degrees west is 105 degrees.

Multiplying 105 degrees by 4 minutes gives us a time difference of 420 minutes. Adding this to the solar noon time (12:00 PM), we get a solar time of 7:00 PM at 15 degrees west longitude. Therefore, the solar time at 15 degrees W would be 7:00 PM.

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How much force does a 35 kg child have that is running through the house at an acceleration of 20 m/s^2?

Answers

Answer:

The answer is 700 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 35 kg

acceleration = 20 m/s²

We have

force = 35 × 20

We have the final answer as

700 N

Hope this helps you

What two fundamental forces are combined in the standard model? (answers below)

What two fundamental forces are combined in the standard model? (answers below)

Answers

The two fundamental forces that are combined in the standard model are the electromagnetic force and the weak nuclear force.

What is the standard model?

The Standard Model is a theory in physics that describes the behavior and interactions of elementary particles, including quarks, leptons, and bosons. It explains the electromagnetic, weak, and strong nuclear forces that govern the behavior of subatomic particles. The bonding in the nucleus, which is a result of the strong nuclear force, is explained by the Standard Model.

The electromagnetic force and the weak nuclear force are unified into a single electroweak force at high energies, which is described by the electroweak theory. The strong nuclear force is also a fundamental force, but it is not included in the electroweak theory and is described separately by the theory of quantum chromodynamics.

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Which element most likely interacts with water the same way lithium interacts with water?

Answers

Answer:

Is there a multiple choice or select all that apply? I would say Potassium (K) or Sodium (Na)

Explanation:

Which of these is a transverse wave? Help pls

Which of these is a transverse wave? Help pls

Answers

Answer:

Option 1

Explanation:

1st option is the correct answer......

The correct answer is option 1.

In the circuit in the figure, the capacitors are completely uncharged. The switch is then closed for a long time. As shown, R₁ = 6Ω, R₂ = 40 Ω, R3 = 40 Ω and V = 20V. What is the potential difference (in V) across the R₂ resistor? A) 8; B) 6; C) 0; D) 4; E) 10;

Answers

Potential difference (in V) across the R₂ resistor is option E) 10

In the circuit given below, the capacitors are uncharged. The switch is then closed for a long time. R₁ = 6Ω, R₂ = 40 Ω, R3 = 40 Ω and V = 20V.

Find the potential difference across the R₂ resistor.Circuit Diagram:We can solve this question by following the below steps:

Step 1: Finding the Total Resistance

Let us assume the capacitors to be open circuit initially and solve the resistors R₁, R₂, and R₃ in series,

Rₛ.Rₛ= R₁ + R₂ + R₃= 6 + 40 + 40= 86Ω

Step 2: Calculating the Current

We can calculate the current flowing in the circuit by using Ohm's law, which is given as:

I = V/Rₛ = 20/86= 0.23A

Step 3: Finding the Potential Difference across R₂The potential difference across R₂ is given as:

V₂= IR₂= 0.23 × 40= 9.2V

Therefore, the potential difference (in V) across the R₂ resistor is 9.2V.

The option that matches the value is E. 10.

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In order to increase the rate of acceleration of a car, you should apply more
force to it. true or false

Answers

Answer:

True

Explanation:

Because with more force the car will move faster than it did before!!!

Every Saros cycle (19 eclipse years): A. All total solar eclipses occur as total solar eclipses. B. All annular solar eclipses occur as annular solar eclipses. C. All solar eclipses reoccur at the same longitudes and latitudes. D. All lunar eclipses reoccur.

Answers

Answer:

D. All lunar eclipses reoccur.

Explanation:

Every Saros cycle (19 eclipse years)

Saro was described by Edmond Halley arround the year 1691, which is a period of 223 synodic which can be interepreted as "repitition" it is used by the scientist for eclipse prediction either for the sun or moon eclipse. It is 18years and 11days and some hours.

It should be noted that with this All lunar eclipses reoccur.

if you 235lb traviling north at 75mph and strike a 150 lb deer going 35mph east what is the force

Answers

We need to use the formula: Force = Mass × Acceleration Let's use the given values to calculate the force exerted on the deer when it is hit by the car. The car weighs 235 lb and it is traveling north at 75 mph. The deer weighs 150 lb and it is going 35 mph east. Force = 44045 lbSince the force is a vector quantity, it has both magnitude and direction.

Step 1: Convert the velocities into feet per second.1 mile = 5280 feet1 hour = 3600 seconds So, the velocity of the car is:75 mph = (75 × 5280) ÷ 3600 = 110 feet/secondThe velocity of the deer is:35 mph = (35 × 5280) ÷ 3600 = 51.3 feet/second

Step 2: Find the components of velocity of the deer. The velocity of the deer is in the east direction, so we need to find its horizontal component, vx, and its vertical component, vy. If the angle between the deer's velocity and the x-axis is θ, then: vx = v × cosθandvy = v × sinθv = 51.3 feet/secondθ = 90° - arctan(0 / 110) = 90°So,vx = 51.3 × cos90° = 0 feet/second vy = 51.3 × sin90° = 51.3 feet/second

Step 3: Find the net velocities of the car and the deer. Since the car is moving north and the deer is moving east, the net velocity of the car and deer together can be found using the Pythagorean theorem. Net velocity = √[(vx + 110)² + vy²]Net velocity = √[(0 + 110)² + (51.3)²]Net velocity = √(12100 + 2631.69)Net velocity = √14731.69Net velocity = 121.3 feet/second

Step 4: Find the net momentum of the car and the deer. Net momentum = (mass of car × velocity of car) + (mass of deer × velocity of deer)Net momentum = (235 × 110) + (150 × 121.3)Net momentum = 25850 + 18195Net momentum = 44045 lb ft/second

Step 5: Find the force exerted on the deer. Force = Net momentum ÷ time Here, time is the duration of the collision which is not given in the problem. We will assume it to be 1 second. Force = 44045 ÷ 1

Force = 44045 lb Since the force is a vector quantity, it has both magnitude and direction. The direction of force is along the line of impact which is not given in the problem.

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the rotational speed of a flywheel increases by 40%. by what percent does its rotational kinetic energy increase? explain your answer.

Answers

The rotational kinetic energy of a flywheel increases by 80% when its rotational speed increases by 40%. This is because the rotational kinetic energy of a flywheel is directly proportional to the square of its angular velocity.


The rotational speed of a flywheel increases by 40%. The percentage increase in its rotational kinetic energy is approximately 96.8%. Suppose the initial rotational speed of the flywheel is n1 and the initial rotational kinetic energy is K.E.1. After the speed of the flywheel is increased by 40 percent, the new speed is n2 = n1 + 0.4n1 = 1.4n1.

Then the new kinetic energy K.E.2 of the flywheel is given by K.E.2 = (1/2)I(n2^2)where I is the moment of inertia of the flywheel.Since n2 = 1.4n1, we have \(K.E.2 = (1/2)I(1.96n1^2) = 0.98I(n1^2).\).

Therefore, the percentage increase in the rotational kinetic energy of the flywheel is approximately 96.8%.

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a circular coil consists of 5 loops each of diameter 1.0 m. the coil is placed in an external magnetic field of 0.5 t. when the coil carries a current of 4.0 a, a torque of magnitude 3.93 n-m acts on it. determine the angle between the normal to the plane of the coil and the direction of the magnetic field.

Answers

The angle between the normal to the plane of the coil and the direction of the magnetic field is approximately 90.08 degrees.

To determine the angle between the normal to the plane of the coil and the direction of the magnetic field, we can use the formula for the torque acting on a current-carrying coil in a magnetic field:

τ = N * B * A * sin(θ)

where:

τ is the torque,

N is the number of loops in the coil,

B is the magnetic field strength,

A is the area of each loop,

θ is the angle between the normal to the plane of the coil and the magnetic field direction.

Given:

N = 5 loops

B = 0.5 T

A = π * (d/2)^2 = π * (1.0 m/2)^2 = π * (0.5 m)^2 = 0.7854 m² (area of each loop)

τ = 3.93 N·m

Rearranging the formula, we can solve for θ:

θ = arcsin(τ / (N * B * A))

θ = arcsin(3.93 N·m / (5 loops * 0.5 T * 0.7854 m²))

θ ≈ arcsin(1.0002)

Using a calculator, we find that the angle θ is approximately 90.08 degrees.

Therefore, the angle between the normal to the plane of the coil and the direction of the magnetic field is approximately 90.08 degrees.

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What stresses can you experience in nursing

Answers

Answer:

Yes, Nurses are experience a stress in a higher rate at workplace.

Explanation:

We know that,

Stress in nursing :

According to association of american holistic nurses,

Nurses are experience a stress in a higher rate at workplace.

These stress are,

Physical demand

Management problems

lack of staff

Increment of number of patients

Face with death,

Fighting to infection as highly stressful factors in the workplace

Hence, Yes, Nurses are experience a stress in a higher rate at workplace.

A device used since the 1940s to measure the kick or
recoil of the body due to heart beats is the
“ballistocardiograph.” What physics principle(s) are
involved here to measure the force of cardiac contraction? How might we construct such a device?

Answers

The conservation of momentum and impulse are  the physics principle of the measure the force of the heart's contraction    

The momentum is defined as the product of the mass of the body by its speed. If we make the system isolated, the moment or quantity of movement must be conserved since there are external forces.

                P = mv

               Δp = p_f - p₀

Where p is the momentum, m and v the mass and velocity of the body

In this case we consider the body as an isolated system and if it is immobile, zero velocity, the initial momentum is zero

               p₀ = 0

When the heart pumps the room it goes out in one direction and the body recoils in the opposite direction, so the final momentum is

              p_f = m v₁ - (M-m) v₂

Where m is the amount of blood pumped, (M-m) the remaining mass of the body, v₁ and v₂ the velocity of the blood and the body

If the body is isolated, the momentum will be preserved

               p_f = p₀

               m v₁ - (M-m) v₂ = 0

               v₁ = \(\frac{M-m}{m} \ v_2\)

The To measure the force of the contraction of the heart we use that the impulse is equal to the variation of the momentum

                 I_ {avg} = F t = ΔP

                  F = \(\frac{\Delta p}{t}\)

Where t is the time and is measured with a stopwatch with the pulsations of each patient.

                  F = \(\frac{m \ v_1 - (M-m) \ v_2 }{t}\)

The construction of a system for the measurement must consist of spring or some means of oscillation and use the movement to measure the recoil speed of the patient which is small.

In conclusion, we use the conservation of momentum and impulse are the  physics principle of the measure the force of the heart's contraction    .

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if the rotation of a planet of radius 7.66 x 10^6 m and free-fall acceleration 8.34 m/s^2 increased to the point that the centripetal acceleration was equal to the gravitational acceleration at the equator, what would be the tangential speed of a person standing at the equator?
answer in units of m/s​​

Answers

Answer:

On the surface of the moon the weight of an object points towards the center of the moon and its magnitude is approximately 1/6 the magnitude of its weight on the surface of the earth. The mass of the object, i.e. its resistance to acceleration, is the same everywhere

John has a utility function of the following: UL, C) = L ^BC ^(1-ẞ), where L is leisure and C is consumption. If he works, he receives a real wage w. Outside of the labor market, he has nonlabor market income V. And his endowment of time T is normalized to 1. And the price of goods p is also normalized to 1.
(a) Please write down his budget constraint.
(b) Assuming ẞ = 1/2, V = 100, w = 200, what is his optimal supply of labor?
(c) How much total income does he have?
(d) How much consumption will he make?
(e) Now, consider the case where John is subject to a 10% income tax on labor income only. What is his new optimal supply of labor?

Answers

(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.

(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.

(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.

(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.

(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.

Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.

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An object with a potential energy of 981 J is placed at a height of 2m. What is the mass of the object?

Answers

Explanation:

Taking g=10m/s²

P.E =mgh

981J= 2×10×m

981J=20m

m. = 981J/20

m. = 49.05kg

What happens to astronauts when they return to earth?.

Answers

When astronauts return to Earth after being in space, they undergo several physiological and psychological changes.

Physiological ChangesReadjustment to gravity: Astronauts experience a period of readjustment as their bodies adapt to the presence of gravity again. Muscle and bone changes: Extended periods in microgravity can cause muscle atrophy and bone density loss. Cardiovascular changes: The cardiovascular system undergoes adjustments as blood distribution changes from a headward flow in microgravity to a feetward flow upon returning to Earth. Astronauts may experience orthostatic hypotension and changes in heart function.

Psychological ChangesEmotional adjustment: Astronauts may experience a range of emotions upon returning to Earth, including a sense of awe, gratitude, and even a feeling of disorientation or "space blues" due to the dramatic change in environment.Reintegration with society: Astronauts often require time to readjust to social and personal relationships, as well as adapting to a different pace of life on Earth.

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A cuboid has sides that are 0.2m, 0.4m and 0.7m. The mass of the cuboid is 0.5kg. Calculate the density.

Answers

Answer:

d= 0.93 kg/m3

Explanation:

density= mass/volume

mass is given

volume= 0.4*0.2*0.7

then fill in the figures

a school building consumes electricity from the grid at night while contributing energy back to the grid during the day from on-site solar panels, resulting in the school having no electricity costs. this is an example of:

Answers

The scenario described is an example of "net-zero energy" or "zero net energy" building. This is a building that produces as much energy from renewable sources (such as solar panels) as it consumes from the grid over the course of a year.

In the case of the school building, the solar panels generate excess electricity during the day which is fed back into the grid, and the building consumes electricity from the grid during the night when there is no solar energy available. Over the course of a year, the energy consumed from the grid and the energy generated by the solar panels balance out, resulting in zero net energy consumption from the grid and no electricity costs for the school.

Net-zero energy buildings are becoming increasingly popular as a way to reduce greenhouse gas emissions and lower energy costs. They typically use a combination of energy-efficient design, on-site renewable energy generation, and energy storage systems to achieve their goal of zero net energy consumption.

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A stationary car is stopped at a traffic light. When the light turns green at t = 0, a truck with a constant speed of 25m/s passes the car. The car uniformly accelerates to its top speed (30m/s) in 10 s then moves at a constant speed. How long will it take for the car to catch up with the truck?​

Answers

It will take the car 16.67 sec to catch up with the truck.

Given the data in the question.

Since the car was stationary, then;

Initial velocity of the car; \(u_c = 0m/s\).

Final velocity of the car; \(v_c = 30m/s\).

Time taken for the car to reach given speed; \(t = 10s\).

At \(t = 0\), speed of truck; \(V_{truck} = 25m/s\)

First, we find the acceleration of the car, using the first equation of motion;

\(v = u + at\)

We make "a" the subject of the formula,

\(a = \frac{v-u}{t}\)

We substitute in our values and solve for "a"

\(a = \frac{30m/s - 0m/s}{10s}\)

\(a = 3m/s^2\)

Now, to determine how long will it take for the car to catch up with the truck.

Distance travelled by truck should be equal to distance travelled by car, so;

\(S_{truck\) = \(S_{car\)

We know that, speed; s = distance / time

So, distance of truck \(S_{truck\) = speed of truck × time \(= V_{truck} * t\)

Also, from the second equation of motion; distance "s" is;

\(s = ut + \frac{1}{2}at^2\)

So distance of the car \(S_{car} = ut + \frac{1}{2}at^2\)

We equate

\(S_{truck\) = \(S_{car\)

\(V_{truck} * t\) \(= ut + \frac{1}{2}at^2\)

we make "t" the subject of formula

we know that initial velocity of the car; u = 0

so, we divide both sides by "t"

\(V_{truck} = \frac{1}{2}at\)

\(t = \frac{2V_{truck}}{a}\)

We substitute in our values

\(t = \frac{2 * 25m/s}{3m/s^2}\)

\(t = 16.67s\)

Therefore, It will take the car 16.67 sec to catch up with the truck.

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The centripetal force on an object in circular motion is.

Answers

Answer:

The direction of a centripetal force is toward the center of rotation, the same as for centripetal acceleration. According to Newton's second law of motion, a net force causes the acceleration of mass according to Fnet = ma.

Explanation:

I am sorry if it is wrong

If the hot air balloon is 21 feet off the ground, what is the distance between the ground directly underneath the balloon and the second rope rounded to the nearest hundredth of a foot?.

Answers

The distance between the ground directly underneath the balloon and the second rope is 36.37 feet.

The complete question is in the attachment. Look at the triangle ACD. For ∠ ACD = θ the trigonometric ratios

sin θ = y/rcos θ = x/rtan θ = y/xcosec θ = r/ysec θ = r/xcot θ = x/y

Look at the picture

Point D is the hot air balloon.Point A is the ground directly underneath the balloon.Point B is the first rope.Point C is the second rope.From the ground directly underneath the balloon to the second rope and hot air balloon form triangle ACD.∠ ACD = θ = 30°AD = 21 feet

tan θ = y/x

tan 30° = AD/AC

tan 30° = 21/AC

AC = 21 ÷ tan 30°

AC = 21 ÷ 0.577

AC = 36.37 feet

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If the hot air balloon is 21 feet off the ground, what is the distance between the ground directly underneath

Please help me with this science question, thank you!!

Please help me with this science question, thank you!!

Answers

The true statement about mitosis and meiosis is that DNA replication occurs before the division of the nucleus.

option B.

What is mitosis and meiosis?

Meiosis is the type of cell division that creates egg and sperm cells.

Mitosis on other hand is a fundamental process for life. During mitosis, a cell duplicates all of its contents, including its chromosomes, and splits to form two identical daughter cells.

The similarity between meiosis and mitosis is that both mitosis and meiosis take place in the cell nuclei, which can be observed under a microscope. So both occurs in the nucleus and DNA replication must occur before the division of the nucleus.

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A rotating wheel requires 7.00 s to rotate 30.0 revolutions. Its angular velocity at the end of the 7.00-s interval is 97.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel

Answers

The constant angular acceleration of the rotating wheel is 8.21 rad/s².

We can use the equations of rotational motion to find the constant angular acceleration. The first equation relates angular displacement (θ), initial angular velocity (ω₀), final angular velocity (ω), and angular acceleration (α):

θ = ω₀t + (1/2)αt²

In this case, the initial angular velocity (ω₀) is 0 rad/s (since the wheel starts from rest), the final angular velocity (ω) is 97.0 rad/s, and the time (t) is 7.00 s. Since the wheel completes 30.0 revolutions, the angular displacement (θ) can be calculated as:

θ = 2πn

where n is the number of revolutions. Substituting the given values, we have:

2πn = 97.0 rad/s × 7.00 s + (1/2)α(7.00 s)²

Since the wheel completes 30.0 revolutions, n = 30.0. Rearranging the equation, we can solve for α:

α = (2πn - 97.0 rad/s × 7.00 s) / (0.5 × (7.00 s)²)

Plugging in the values, we find:

α = (2π × 30.0 - 97.0 rad/s × 7.00 s) / (0.5 × (7.00 s)²) ≈ 8.21 rad/s²

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