a 1000 kg car is driving around a 100 m radius curve. the coefficient of static friction is 0.80 and the coefficient of kinetic friction is 0.60. determine the maximum speed that thee car can travel without slipping.

The dimensions of the original rectangle are 18 units by 9 units.

Let the width of the original rectangle be w.

Since the length is twice the width, the length is 2w.

The new length is 2w + 5, and the new width is w - 3.

The new perimeter is 52, so:

2(2w + 5) + 2(w - 3) = 525w + 4 + 2w - 6

                                = 52

Simplifying and solving for w:

7w - 2 = 52w

          = 9

The width of the original rectangle is 9 units.

Since the length is twice the width, the length is 2(9) = 18 units.

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Answer:

m = 2.34 kg

Explanation:

The given data shows the relation between the potential energy and the height of an object. The formula for the potential energy is given by :

E = mgh

g is the acceleration due to gravity

We have,

E = 98.61 J, h = 4.3 m

Putting all the values to find m. So,

\(m=\dfrac{E}{gh}\\\\m=\dfrac{98.61}{9.8\times 4.3}\\\\m=2.34\ kg\)

So, the mass of the object is 2.34 kg.

Answer:

it’s the 2nd one

Explanation:

Answer:

second one

Explanation:

Answer:

"element"= There are four basic sentence patterns based on sentence construction element

Answer:

1st one. Element

2nd one. Compound

Explanation:

The resistance of the 12km length of the railway line is 1.2 × 10⁴ Ω.

The resistivity (electrical resistance of a conductor of unit cross-sectional area and unit length. A characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents)of iron is given as 1.0 × 10⁻⁷. We are supposed to find the resistance of a 12km length of a railway line with a cross-sectional area of 200 cm². Resistance is given by the formula :

R = ρ × l/A

Where R is the resistance of the conductorρ is the resistivity of the material is the length of the conductors A is the cross-sectional area of the conductor We are given ρ = 1.0 × 10⁻⁷, l = 12 km = 12 × 10³ m = 12000 mA = 200 cm² = 200 × 10⁻⁴ m²= 0.02 m²Putting these values in the formula we get :R = (1.0 × 10⁻⁷) × (12000)/ (0.02)R = (1.2 × 10⁴) Ω

Therefore, the resistance of the 12km length of the railway line is 1.2 × 10⁴ Ω.

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Answer:

The final angular speed is 16.1 rad/s

Explanation:

Given;

initial moment of inertia, I₁ = 2.56 kg.m²

final moment of inertia, I₂ = 0.40 kg.m²

initial angular speed, ω₁ = 0.4 rev/s = 2.514 rad/s

Apply the principle of conservation of angular momentum;

I₁ω₁ = I₂ω₂

where;

ω₂ is the final angular speed

ω₂ = (I₁ω₁) / (I₂)

ω₂ = (2.56 x 2.514) / (0.4)

ω₂ = 16.1 rad/s

Therefore, the final angular speed is 16.1 rad/s

Answer:

The moon does not have weather to erode the evidence of asteroid impacts.

Answer:

they can stop in less time rather than heavier cars or loaded trucks because of more mass and weight they tend to slow down in more time.

Explanation:

Answer:

0.25m/s

Explanation:

m1v1 =m2 v2. law of conservation the of momentum. since they smash together to form a big drop M2 =2m1

m1*0.50m/s=2m1*v2

V2= m1*0.50m/s÷2m1

V2= 0.25m/s

Answer:

Option A is correct.

Explanation:

In the given triangle , x is the base and 14 is the hypotenuse for angle 33°.

cos 33 = base / hypotenuse

Putting the given values

cos 33 = x / 14

.84 = x / 14

x = .84 x 14

= 11.7

Option A is correct.

Answer:

KE increases and PE decreases.

Explanation:

POTENTIAL ENERGY (PE):

The potential energy of the rock depends upon the height of the rock, as given by the following formula:

P.E = mgh

Therefore, the potential energy will be highest at the initial point due to the highest height attained by rock. As the rock falls, its height will decrease as a result its potential energy will also decrease.

KINETIC ENERGY (KE):

The kinetic energy of the rock depends upon the velocity of the rock, as given by the following formula:

\(K.E = \frac{1}{2}mv^2\)

Therefore, the kinetic energy will be zero at the initial point due to the zero velocity of the rock. As the rock falls, its velocity will increase as a result its kinetic energy will also increase.

Hence, the correct option will be:

KE increases and PE decreases.

Answer:

Velocity can be directly added or subtracted.

For example, if a boat has a velocity V in still water.

And now you put the boat in a river with a current that has a velocity V'

The total velocity of the boat in that river is just the addition of these two velocities.

Velocity in the river  = V + V'

Where the only tricky part is that the velocity is a vector, so you need to take in account the directions of each vector.

In this case, we have a plane with a maximum velocity of 160km, let's assume a direction for this velocity, let's say that is in the positive x-direction.

Then we can write the velocity in the vector form:

velocity  = (vel in x-axis, vel in y-axis)

The velocity of the plane can be written as:

v = (160km/h, 0)

Now we add a crosswind of 30km/h

crosswind means that it is perpendicular, then it acts on the y-axis.

Then the total velocity of the plane will be:

velocity = (160km/h, 0) + (0, 30km/h)

velocity = (160km/h, 30km/h)

Now you can compute the total velocity of the airplane as the module of that vector.

Remember that for a vector (x, y) the module is:

mod = √(x^2 + y^2)

Then the module of the velocity is:

v = √( (160km/h)^2 + (30km/h)^2) = 162.8 km/h

The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.

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Answer:

B) cooper

Explanation:

the Cooper will protect the iro from attack by reagents such as acid

Answer:

it can be calculated by measuring the final distance away from a point, and then subtracting the initial distance

When you place a pipe over the end of a wrench to make the handle twice as long, you effectively multiply the torque by a factor of two.

In physics and mechanics, torque is the rotational analog of linear force. It is also referred to as the moment of force (also abbreviated to moment ). It describes the rate of change of angular momentum that would be imparted to an isolated body.

Torque is a special case of moment in that it relates to the axis of the rotation driving the rotation, whereas moment relates to being driven by an external force to cause the rotation.

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To determine the force needed to push out the pop-out hatch at a depth of 118 m below the surface, we need to consider the pressure exerted by the water on the hatch. At this depth, the water pressure is approximately 11.6 MPa (megapascals), which is equivalent to 11600 kPa (kilopascals) or 1.16 x 10^8 Pa (pascals).

To calculate the force needed to push out the hatch, we can use the formula:
Force = Pressure x Area
where Pressure is the water pressure at 118 m depth (1.16 x 10^8 Pa) and Area is the surface area of the hatch (1.70 m x 0.852 m = 1.4484 m^2).
Substituting these values into the formula, we get:
Force = 1.16 x 10^8 Pa x 1.4484 m^2
Force = 1.677 x 10^8 N

Therefore, the force needed to push out the pop-out hatch from a damaged submarine at a depth of 118 m below the surface is approximately 167.7 million Newtons.

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According to Newton's first law of motion, the puck gradually slows down because friction would be acting on it.

Newton's first law of motion states that an object will remain at rest or move uniformly in a straight line unless acted upon by an external force.

According to this question, a hockey puck is hit with a large force. The puck moves at a high speed as it slides over the ice.

However, in accordance with the first law of motion proposed by Newton, the puck gradually slows down because friction would be acting on it.

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Answer:B. The puck gradually slows down because friction would be acting on it.

Explanation:

Answer:

A change in velocity is either a change in an object's speed or its direction. When a moving object changes direction, its velocity changes and it is accelerating.

Explanation:

the volume of the body is approximately 0.1199 cubic meters.

To find the volume of the body, we can use Archimedes' principle, which states that the weight of a fluid displaced by an object is equal to the buoyant force acting on the object.

In this case, the buoyant force acting on the body in water is equal to the weight of the water displaced by the body. Since the body weighs 5 N in water, it displaces 5 N of water.

The weight of the body in the air is 6 N, which is greater than the weight of the water displaced by the body. This means that the body sinks in water and has a density greater than that of water.

We can use the formula for density, which is density = mass/volume, to find the volume of the body. We know that the mass of the body is equal to its weight divided by the acceleration due to gravity, which is approximately 9.81 m/\(S^{2}\). Therefore:

mass = 6 N / 9.81 \(m/s^{2}\)= 0.611 kg

Since the density of water is 1000 \(kg/m^{3}\), we can set up the following equation to solve for the volume of the body:

density of body * volume of body = mass of body

density of body * V = 0.611 kg

the density of body = 0.611 kg / V

The density of the body must be greater than 1000 \(kg/m^{3}\), the density of water. We can assume that the density of the body is constant and solve for the volume:

density of body = 5 N / (V * 9.81 m/\(S^{2}\))

Setting these two equations equal to each other, we get:

0.611 kg / V = 5 N / (V * 9.81m/\(S^{2}\))

Solving for V, we get:

V = 0.611 kg / (5 N / 9.81 m/\(S^{2}\))

V = 0.1199 m^3

Therefore, the volume of the body is approximately 0.1199 cubic meters.

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The type of asteroid that would appear darkest and reflect the least light is type option E) S.

Among the given options, type E) S asteroids would appear darkest and reflect the least amount of light. Asteroids are classified into different types based on their composition, and type S asteroids belong to the silicate group. They are made up of rocky materials, such as silicates and metals, and they tend to have a relatively low albedo.

Albedo refers to the amount of light an object reflects, and a low albedo means that the object absorbs more light than it reflects. As a result, type S asteroids appear darker because they absorb a significant portion of the incident light rather than reflecting it. Their dark appearance is due to their composition and surface properties.

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Answer:

1. directly

2. inversely

Explanation:

The relationship between the energy of a photon and its frequency is dictated by another simple equation:

E = hv = hc/λ

where E is the energy in kiloJoules per mole, h is Planck's constant with a value of 6.626 x 10-34 Joule-seconds per particle, λ is the wavelength of light λ in meters,  and c is the speed of light with a constant value of 300 million meters per second. From this equation, it is clear that the energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength. Thus as frequency increases (with a corresponding decrease in wavelength), the photon energy increases and vice versa.

Energy of a photon is directly proportional to frequency, and inversely proportional to wavelength.

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form

The relationship between the energy of a photon and its frequency is

E = hv = hc/λ

where E is the energy in kiloJoules per mole,

h is Planck's constant with a value of 6.626 x 10-34 Joule-seconds per particle,

λ is the wavelength of light λ in meters,  

c is the speed of light with a constant value of 300 million meters per second.

From this equation, it is clear that the energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength.

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These particles can mix with Earth's atmosphere to create dazzling aurora displays over the northern latitudes.

The region around a magnet where effects of magnetism are felt is known as the magnetic field. To illustrate how the electromotive flux is dispersed in the area around and inside something electric in nature, we utilize the magnetic flux as a tool.

Our planet is shielded from space radiation and positive ions from our Sun by the magnetic field, which is created either by motion of molten steel in the Earth's core. Moreover, it provides the foundation for compasses navigation.

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ANSWER

547.5 J

EXPLANATION

Given:

• The child's mass, m = 15 kg

• The height of the slide, h = 5 m

• The velocity of the child at the bottom of the slide, v = 5 m/s

Find:

• The loss of mechanical energy due to friction

The loss of mechanical energy due to friction is the difference between the child's gravitational potential energy at the top of the slide, and the child's kinetic energy at the bottom of the slide,

Replace the known values and solve,

Hence, 547.5 Joules of energy were lost due to friction.

Answer:

Explanation:

a) From the diagram, the load will be expressed in newton. The load will be the weight of the box on the inclined plane.

Load = mass * acceleration due to gravity.

Given the mass of the object = 100kg

acceleration due to gravity = 9.8m/s²

Load (in Newton) = 100*9.8

Load (in Newton) = 980N

b) The formula for calculating the velocity ratio of an inclined plane is expressed as VR = 1/sinθ where θ is the angle of inclination.

Given θ = 30°,

VR = 1/sin30°

VR = 1/0.5

VR = 1/(1/2)

VR = 1* 2/1

VR = 2

The velocity ratio is 2.

c) Length of the inclined plane can be calculated using the SOH, CAH, TOA trigonometry identity.

According to SOH, sinθ = opposite/hypotenuse

sin30°  = 1/2 = opp/hyp

This shows that the opposite side of the triangle is 1 and the hypotenuse is 2. The length if the inclined is the length of the longest side i.e the hypotenuse. Hence the length of the inclined plane is 2m

d) Mechanical Advantage is the ratio of the load to the effort applied on an object.

Given the Load = 980N and the effort applied to the load on the incline plane = 400N

MA = Load/Effort

MA = 980/400

MA = 2.45

e) Efficiency = MA/VR * 100

Efficiency = 2.45/2 * 100

Efficiency  = 122.5%

a) If S is a subspace of vector space V, then the span of S, (S), is equal to S itself.

To show that if S⊆V, then (S) = S, we need to prove two inclusions:(i) (S) ⊆ S:
By definition, (S) is the smallest subspace of V that contains S. Since S⊆(S), it follows that every element in S is also in (S). Therefore, S is a subset of (S).(ii) S ⊆ (S):
Let's consider S as a subspace of V. Since S is already a subspace, it satisfies all the properties of a vector space, including closure under scalar multiplication and addition. Therefore, S is a subset of itself.
Combining both inclusions, we conclude that (S) = S.

b)The span of the union of subspaces W₁ and W₂, (W₁ ∪ W₂), is equal to the sum of W₁ and W₂, denoted by W₁ + W₂.

To show that (W₁ ∪ W₂) = W₁ + W₂, we need to prove two inclusions:
(i) (W₁ ∪ W₂) ⊆ W₁ + W₂:
Let's take an element x from (W₁ ∪ W₂). This means that x is an element of either W₁ or W₂ (or both). If x∈W₁, then x is in the subspace W₁, and therefore, it is also in the sum W₁ + W₂. Similarly, if x∈W₂, then x is in the subspace W₂, and hence it is also in the sum W₁ + W₂. Therefore, any element x from (W₁ ∪ W₂) is also in W₁ + W₂, which implies (W₁ ∪ W₂) ⊆ W₁ + W₂.
(ii) W₁ + W₂ ⊆ (W₁ ∪ W₂):
Let's take an element y from W₁ + W₂. By definition, this means that y can be expressed as the sum of an element in W₁ and an element in W₂. Therefore, y is either an element of W₁ or an element of W₂ (or both), and hence y is in the union (W₁ ∪ W₂). Therefore, any element y from W₁ + W₂ is also in (W₁ ∪ W₂), which implies W₁ + W₂ ⊆ (W₁ ∪ W₂).Combining both inclusions, we conclude that (W₁ ∪ W₂) = W₁ + W₂.

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Answer:

A=4

B=3

c=2

D=1

Explanation:

since the person moving in opposite direction so displacement =distance in east/west - distance in west/east

Answer:

Hello! Our answer is C: it shows negative acceleration :)

Explanation:

Small tip: Always draw a car when you are working with these type of questions. Now imagine: A car is moving in the positive way, goes smae speed for a bit, and slows down. Then it stops at 30 mins. Then it starts moving in the opposite direction. So, our answer is c :)

Good luck!

(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.

(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:

Energy = Power × Time

Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:

Time = Energy ÷ Power

Converting the energy to watt-hours (Wh):

Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh

Converting the power to watt-hours (Wh):

Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh

Now we can calculate the time:

Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours

Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.

(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.

In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.

This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.

(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.

In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.

(d) The electromagnetic field output from an antenna can be represented by two main regions:

Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.

Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation.  The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.

The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.

In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.

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I have done before and the answer is c