A car is driving at a velocity of 42 m/s. If its brakes can supply an acceleration of -5.0 m/s2,
how much time will be required to bring the car to a stop?
Give your answer in seconds and round to the nearest tenth of a second.
Hellpppppp I’m in the middle of a quiz

Answers

Answer 1

The time of the car when it comes to a complete stop is 8.4 s.

The given parameters;

initial velocity of the car, u = 42 m/sacceleration of the car, a = - 5.0 m/s²

The time required to bring the car to a complete stop will occur when the final velocity is zero.

Apply the first kinematic equation of motion;

v = u + at

where;

v is the final velocity of the car when it comes to a complete stop

The time of this motion is calculated as follows;

0 = 42 + (-5)t

0 = 42 - 5t

5t = 42

\(t = \frac{42}{5} \\\\t = 8.4 \ s\)

Thus, the time of the car when it comes to a complete stop is 8.4 s.

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Related Questions

HELP!!! You have two substances, both of which have the same boiling point (or attraction between their molecules).
The first substance is made from molecules that are small (just a few atoms bonded together), and the second substance is made from mol that are larger (many atoms bonded together).
How can it be possible for two such different molecules to yield substances with the same boiling point? Describe the kinds of intermolecu attractions that must be involved and any other properties of the molecules that could cause this result.

Answers

The boiling point of a substance depends on the strength of the intermolecular forces between its molecules. In the case of the two substances you mentioned, even though they have different molecular sizes, they can still have the same boiling point if they have similar intermolecular attractions.

What is the  boiling point about?

For example, the smaller molecule may have a higher polarity due to the presence of polar bonds, which can result in dipole-dipole interactions between molecules. The larger molecule may have a similar dipole moment even though it has more atoms, or it may have a polar functional group that contributes to its intermolecular interactions.

In addition to dipole-dipole interactions, the molecules may also have London dispersion forces, which are present in all molecules due to the random fluctuations in electron density. These forces are proportional to the size of the molecule, so the larger molecule may have a stronger dispersion force even if it is less polar than the smaller molecule.

Therefore,, it is possible for two different molecules to have the same boiling point if they have similar intermolecular attractions, such as dipole-dipole interactions and London dispersion forces. The size of the molecule may also play a role in determining the strength of these forces, but it is not the only factor.

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A 500 g object is dropped from a height of 2 meters. What is its kinetic energy just before it hits the ground?

Answers

Answer: 9.8 J

Explanation:

Since the gravitational potential energy of the object is mgh or mass*acceleration due to gravity*initial height, its \(U_{g}\) is 9.8 J. Due to the Law of Conservation of Energy, its kinetic energy will also be 9.8 J. This can be seen in the equation \(KE_{i}+ PE_{i}= KE_{f} + PE_{f}\). Since there is no initial kinetic energy and no final potential energy, its initial potential energy is equal to its final kinetic energy.

Answer:

9.81 joules.

Step by step solved:

The kinetic energy (KE) of an object is given by the formula:

KE = 1/2 * m * v^2

where m is the mass of the object and v is its velocity.

When an object is dropped from rest, it gains speed as it falls due to the force of gravity. The velocity of a falling object can be calculated using the formula:

v = √(2gh)

where g is the acceleration due to gravity (9.81 m/s^2) and h is the height from which the object is dropped.

In this problem, the mass of the object is 500 g or 0.5 kg, and the height from which it is dropped is 2 meters. Using the formula for velocity, we get:

v = √(2gh) = √(2 x 9.81 m/s^2 x 2 m) = √(39.24) = 6.27 m/s

Now that we know the velocity of the object just before it hits the ground, we can calculate its kinetic energy using the formula:

KE = 1/2 * m * v^2 = 1/2 * 0.5 kg * (6.27 m/s)^2 = 9.81 J

Therefore, the kinetic energy of the 500 g object just before it hits the ground is 9.81 joules.

Which statements compare linear and angular momentum? Check all that apply.

Both measure the tendency of objects to resist a change in motion.
Both are affected by the mass of the object in motion.
Both are affected by the distribution of mass relative to an axis.
Both involve velocity.
Both involve rotation.

Answers

Answer:

A,B,D

Explanation:

cause ik

If the weight of the ruler is one Newton ,Gc cannot have a value more than 25cm

Answers

If the length of the ruler is 50 cm, the center of gravity cannot be greater than 25 cm.

The given parameters:

Weight of the ruler = 1 N

What is center of gravity (CG)?Center of gravity is the point at which the weight of an object is concentrated.

Let the length of the ruler = L

The center of the gravity of the ruler is calculated as follows;

\(X_{CG} = \frac{W(L_0) + W(L -X_{CG})}{W} \\\\X_{CG} = \frac{1(0) + 1(L -X_{CG})}{1}\\\\X_{CG} = L - X_{CG}\\\\X_{CG } + X_{CG} = L\\\\2X_{CG} = L\\\\X_{CG} = \frac{L}{2} \\\\when , \ L = 50 \ cm\\\\X_{CG} = \frac{50}{2} \\\\X_{CG} = 25 \ cm\)

Thus, if the length of the ruler is 50 cm, the center of gravity cannot be greater than 25 cm. This may change if the length of the ruler changes because the center of gravity of uniform ruler depends on the length of the ruler.

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To increase the potential energy of the system, what did you have to do?

Answers

Answer:

You can use work to add kinetic energy to a system or to increase potential energy in the system.

Explanation:

Potential energy stored in any system can be released as kinetic energy. Kinetic energy can be transformed to do work or to increase potential energy.

hope this helped

Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?

Answers

The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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A cricket ball is dropped from a height of 20 m. Calculate: a) the speed of the ball. b) the time it takes to fall through this height ​

Answers

Answer:

Initial velocity is 0 .. ( since it is just dropped)

now using V²= u² +2gh

=> (Vfinal)² = 0+2*10*20

=> v² = 20*20 = 400

=> v = √400 = 20m/s

for time taken

use V = u+gt

=> t = V/g = 20/10 = 2sec

What is an indicator?
A. An organic compound that changes color in acids and bases
B. A strong acid
C. The amount of ions in solution
D. The concentration of acids or bases

Answers

The answer is A because An Indicator" changes color when it comes in contact with an acid or a base

An indicator could be anything like:
1) Litmus paper
2) Bromothymol blue
3) Phenolphthalein

The musical note A above middle C has frequency of 440Hz. What is the wavelength of the sound produced

Answers

Answer:

These destructive frequencies entrain the thoughts towards disruption, disharmony, and disunity. Additionally, they also stimulate the controlling organ of the body — the brain — into disharmonious resonance, which ultimately creates disease and war.

(350 m/s) / (440/s)
=0.795 meter

Calculate the x-component of the electric field at point P due to charge Q1. Write your answer in units of N/C.
A positive charge of magnitude Q1 = 0.45 nC is located at the origin. A negative charge Q2 = -9.5 nC is located on the positive x-axis at x = 6.5 cm from the origin. The point P is located y = 7.5 cm above charge Q2.

Answers

The x-component of the electric field at point P due to charge Q1 is 270 N/C.

The query asks what charge Q1 is responsible for the x component of the electric field vector at point P. In light of this, you disregard charge Q2's contribution.

Assume that point P contains a little positive charge. By definition, the strength of the electric field caused by charge Q1 at point P is:

E = \(\frac{kQ1}{d^{2} }\) where k is the coulomb constant and d is the straight-line distance from Q1 to P.

The distance, d, is the hypotenuse of the triangle formed by the point P, charges Q1 and Q2. Therefore,

d = \(\sqrt{0.065^{2} } + \sqrt{0.075} ^{2}\) = 0.099 m

Now, finding the electric field, we get:

E = 8.99 × \(10^{-9} Nm^{2} C^{-2}\) × 0.45 × \(10^{-9}\) / \(0.099^{2}\) = 412 n/c

The x component of the electric field, \(E_{x}\), would be:

412 × cos49° = 270 N/C.

The Electric field points away from positive charges (q > 0) and towards negative charges. In Maxwell's equations, the E-field is always a vector field with three dimensions. This indicates that it consists of three parts: an x, y, and z component that respectively determine the x, y, and z directions of the electric field.

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What does the transfer of energy have to do with natural disasters?

Answers

Answer: When an earthquake occurs energy is transferred, from where the rocks break, and travels throughout the world. The bigger the quake the further from the epicentre the waves will travel. There are four types of earthquake wave generated during an earth quake

Explanation:

The intensity of a natural disaster can be determined by the amount of energy transferred due to it.

What is meant by natural disaster ?

Natural disasters include calamities with atmospheric, geological, and hydrological causes (such as droughts, earthquakes, floods, hurricanes, and landslides), which can result in fatalities, property damage, and social and environmental disturbance.

Here,

Internal and external forces work together to create natural disasters. The first is internal forces that are caused by the earth's internal heat energy and result in geologic hazards including earthquakes, volcanoes, and tsunamis.

Energy is transferred during an earthquake and propagates throughout the globe from the point at which the rocks split. The waves' distance from the epicenter increases with the size of the earthquake.

During an earthquake, four different kinds of seismic waves are produced. They transfer energy out of the earthquake's epicentre.

Hence,

The intensity of a natural disaster can be determined by the amount of energy transferred due to it.

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What is An example of thermal equilibrium

Answers

Answer:

Thermal equilibrium is a state in which two systems are at the same temperature and there is no net transfer of heat between them.

Here are some examples of thermal equilibrium:

A cup of coffee left to cool on the counter will eventually reach the same temperature as the surrounding air.A pot of water on the stove will eventually reach the same temperature as the stovetop.Two objects that are in contact with each other will eventually reach the same temperature.A room that is heated by a furnace will eventually reach the same temperature as the furnace.

In each of these examples, the two systems are exchanging heat until they reach the same temperature. Once they reach the same temperature, there is no net transfer of heat between them and they are said to be in thermal equilibrium.

How much current is in a circuit with a 1.5 V battery and three
2-ohm resistances (bulbs) in series?

Answers

Answer: 0.25A

Explanation: To calculate the current in the circuit, we can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):

I = V / R

In this case, the total resistance of the circuit is the sum of the individual resistances of the three bulbs in series, which gives us:

R = 2 + 2 + 2 = 6 ohms

The voltage of the battery is given as 1.5V.

So, using Ohm's Law, we can calculate the current in the circuit as:

I = V / R = 1.5 / 6 = 0.25 amps

Therefore, the current in the circuit is 0.25 amps.

The current in the circuit is 0.25 A.

Voltage across the circuit, v = 1.5 V

Resistance in each resistors, R = 2Ω

Since, the resistors are connected in series combination, their effective resistance,

R' = 3R

R' = 3 x 2

R' = 6Ω

According to Ohm's law, if the temperature and all other physical factors remain constant, the voltage across a conductor is directly proportional to the current that is flowing through it.

So, according to Ohm's law,

V = IR

Therefore, current flowing through the given circuit,

I = V/R

I = 1.5/6
I = 0.25 A

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How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food

A. The amount of oxygen in the atmosphere increased

B. Mass extinctions occurred

C. The oceans became larger

D. Rainfall increased

Answers

The amount of oxygen in the air was increased

A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C​

Answers

The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

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Tracy's foot is pushing on her cars gas pedal, is it pushing or pulling back?

Answers

Answer:

pushing

Explanation:

It is Pushing the gas pedal not pulling back

What is the best anime show to watch? I need to watch some more anime and I need some shows lol

Answers

Try watching Demon Slayer on Netflix. It's a new series, and it's very entertaining to watch!! :)

(Brainliest please!)

What is the best anime show to watch? I need to watch some more anime and I need some shows lol

Six seconds after starting from rest, a car is moving at 15 m/s. What is the car's
average acceleration?
6 m/s2
0-5 m/s?
5 m/s2
2.5 m/s?
-2.5 m/s?

Answers

Answer:

  2.5 m/s²

Explanation:

a = ∆v/∆t = (15 m/s)/(6 s) = (15/6) m/s² = 2.5 m/s²

A 4.9-m wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the sun is 25 degrees above the horizon. How deep is the pool?

Answers

Answer:

Explanation:

We can solve this problem using trigonometry. Let's draw a diagram:

          |\

          | \

          |  \   <- Sun rays

          |   \

          |    \

          |     \

          |      \

          ---------

           Pool

The angle between the sun rays and the horizontal line is 90 - 25 = 65 degrees. Let's call the depth of the pool "d". We want to find the value of "d" that makes the bottom of the pool completely shaded.

We can see that the triangle formed by the sun rays, the top edge of the pool, and the bottom edge of the shaded area is a right triangle. The angle between the sun rays and the top edge of the pool is also 65 degrees, because the top edge is parallel to the ground.

Using trigonometry, we can write:

tan(65 degrees) = d / 4.9 m

Solving for "d", we get:

d = 4.9 m * tan(65 degrees)

Using a calculator, we find:

d ≈ 13.7 m

Therefore, the pool is approximately 13.7 meters deep.

anika, a 2.0 kg falcon, is moving with an initial velocity of 15 m/s in the x-direction. she collides with betty, a 4.0 kg falcon, initially moving at 7.0 m/s in the x-direction. after the collision, the two birds stick together and move as one.

Answers

The change in kinetic energy of the system is 160.89 Joules

What is kinetic energy?

Kinetic energy is a from of energy that an particle has has by reason we must apply a force. We know that Kinetic energy is the energy due to the velocity of spoed of the moving object.

It is given that,mA = 2kg

Mass of object A,= 15 m/s

Initial speed of object A,

Mass of object B, =5kb

Initial speed of object A,  (at rest)= 0

Le V is the final speed when they lock and move with one common velocity. Using the conservation of momentum to find it.

V= 2×15/(2+5)

V=4.28

V = 4.28 m/s

Initial kinetic energy of the system is :the change in kinetic energy of the system is 160.89 Joules

Ki= 1/2 ×2×(15)^2

Ki=225j

Final kinetic energy of the system is :

Kf= 1/2(ma+mb)^V2

Kf= 1/2 ×(2+5)×(4.28)^2

Kf=225 j

Kf=64.11 j

Let  is the change in kinetic energy of the system after the collision. It is given by :

∆K=∆k-∆i

∆K=64.11-225

∆K=-160.89 J

So, the change in kinetic energy of the system is 160.89 Joules.

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Р.ЗА.3
7. Which behavior does the picture show?:
A. The wave speed is decreasing
B. The amplitude increases

..37. Which behavior does the picture show?:A. The wave speed is decreasingB. The amplitude increases

Answers

Answer:

b. the amplitude increases

Explanation:

because that's not wave

PLEASE HELP NOW
How is a hemisphere's ability to gather solar energy affected when the hemisphere is tilted toward the Sun?

A.
The hemisphere will not gather any more or any less energy than when tilted away.

B.The hemisphere will gather less solar energy because it receives less direct sunlight.

C.
The hemisphere will gather more solar energy because it receives more direct sunlight.

D.
The hemisphere will not be able to gather any solar energy.

Answers

It is c sike I lied u thought I lied respectfully

Engineers are designing a system by which a falling mass m
imparts kinetic energy to a rotating uniform drum to which it is attached by thin, very light wire wrapped around the rim of the drum (Figure 1). There is no appreciable friction in the axle of the drum, and everything starts from rest. This system is being tested on earth, but it is to be used on Mars, where the acceleration due to gravity is 3.71 m/s2
. In the earth tests, when m
is set to 15.0 kg
and allowed to fall through 3.00 m
, it gives 350.0 J
of kinetic energy to the drum.

Answers

On Mars, with an acceleration due to gravity of 3.71 m/s^2, the same falling mass of 15.0 kg would impart 55.6 J of kinetic energy to the rotating drum if it falls through the same height of 3.00 m, assuming all other factors remain the same.

The kinetic energy (K) imparted to the drum by the falling mass can be calculated using the formula:

K = (1/2)mv²

where m is the mass of the falling object, and v is its velocity.

Since the object starts from rest, its initial velocity is zero, and we can simplify the formula to:

K = (1/2)mv² = (1/2)mv² - (1/2)mu²

where u is the initial velocity of the falling object.

The potential energy (U) of the falling object is given by:

U = mgh

where g is the acceleration due to gravity and h is the height through which the object falls.

Since the potential energy is converted to kinetic energy, we can set U equal to K:

mgh = (1/2)mv²

Simplifying the formula, we get:

v² = 2gh

Substituting the values given in the problem, we get:

v² = 2(9.81 m/s²)(3.00 m) = 58.86 m²/s²

Taking the square root of both sides, we get:

v = 7.67 m/s

Using this velocity, we can calculate the kinetic energy imparted to the drum on earth:

K = (1/2)mv²= (1/2)(15.0 kg)(7.67 m/s)²= 350.0 J

To calculate the kinetic energy imparted to the drum on Mars, we can use the same formula, but with the acceleration due to gravity on Mars (3.71 m/s²):

v² = 2(3.71 m/s²)(3.00 m) = 22.26 m²/s²

Taking the square root of both sides, we get:

v = 4.71 m/s

Using this velocity, we can calculate the kinetic energy imparted to the drum on Mars:

K = (1/2)mv² = (1/2)(15.0 kg)(4.71 m/s)² = 55.6 J

Therefore, the same falling mass of 15.0 kg would impart 55.6 J of kinetic energy to the rotating drum on Mars, which is less than the 350.0 J on earth due to the lower acceleration due to gravity.

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A boy throws a tell ball straight up . disregarding any effects of air resistance, the forces acting 9n the ball untill it returns to the ground is are

Answers

well in my opinion I think that is called gravity but I’m no expert.

What force acts on a projectile in the horizontal direction?

Answers

The force that acts on a projectile in the horizontal direction is Gravitational force.


A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.

Due to the absence of horizontal forces, a projectile remains in motion with a constant horizontal velocity. Horizontal forces are not required to keep a projectile moving horizontally. Hence, The only force acting upon a projectile is gravity.


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Using the expression for the total energy of this system, it is possible to show that after the switch is closed, d2qdt2=−kq, where k is a constant. Find the value of the constant k.

Answers

The value of the constant K is \(\mathbf{K = \dfrac{1}{LC}}\)

According to Kirchhoff's loop rule, the total algebraic sum of potential differences in any loop, combining voltage provided by voltage sources as well as resistive components, must equal zero.

Thus, the relation for Kirchhoff's loop rule can be expressed as:

\(\mathbf{\dfrac{q}{c}- L\dfrac{dI}{dt} = 0}\)

We all know that the current in the nonconstant charge flow can be written as:

\(\mathbf{I = \dfrac{dq}{dt}}\)

Replacing the current (I) into Kirchhoff's loop rule, we have:

\(\mathbf{ L\dfrac{d}{dt} ( \dfrac{dq}{dt})= -\dfrac{q}{c}}\)

\(\mathbf{ \dfrac{d^2q}{dt^2}= -\dfrac{q}{Lc} \ \ ---(1)}\)

From the given question, when the switch is closed

\(\mathbf{ \dfrac{d^2q}{dt^2}= -kq\ \ ---(2)}\)

Then, the charges on the capacitor start to b, resulting in the rise of the current in the circuit.

By equating both equations (1) and (2);

\(\mathbf{K = \dfrac{1}{LC}}\)

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Using the expression for the total energy of this system, it is possible to show that after the switch

A CD is a solid disk of mass of 0.0140
kg and a radius 0.0600 m. It rotates at
31.4 rad/s. What is its ROTATIONAL
KE?

A CD is a solid disk of mass of 0.0140kg and a radius 0.0600 m. It rotates at31.4 rad/s. What is its

Answers

Rotational KE is the energy of a rotating object. For a CD with a mass of 0.0140kg, a radius of 0.0600m, and an angular velocity of 31.4 rad/s, the rotational KE is 0.0186 J.

Rotational KE is the energy that a rotating object possesses. It is a type of kinetic energy possessed by objects that rotate about an axis or an object's center of mass. The formula to calculate rotational KE is Rotational KE = 1/2 I ω², Where I represent the moment of inertia, and ω is the angular velocity of the object. A CD is a solid disk of mass of 0.0140kg and a radius of 0.0600 m. It rotates at 31.4 rad/s. Therefore, its moment of inertia (I) can be calculated using the formula: I = 1/2mr²I = 1/2(0.0140kg)(0.0600m)²I = 3.78×10⁻⁵ kg⋅m²Plugging the moment of inertia and the angular velocity into the formula for rotational KE, we get: Rotational KE = 1/2 I ω² Rotational KE = 1/2 (3.78×10⁻⁵ kg⋅m²)(31.4 rad/s)²Rotational KE = 0.0186 JTherefore, the rotational KE of the CD is 0.0186 J.Summary: Rotational KE is a type of kinetic energy possessed by rotating objects. The formula to calculate rotational KE is 1/2 I ω². A CD with a mass of 0.0140kg and a radius of 0.0600 m rotates at 31.4 rad/s. Its rotational KE is 0.0186 J, which is calculated using the formula Rotational KE = 1/2 I ω², where I is the moment of inertia and ω is the angular velocity of the object.

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What is the surface area of disk if it's circumstance is 30cm?

The area of the disk, AD = ㅤㅤ Units.

Answer the same question for a perfect square with the perimeter 30cm.

The area of the square, As = Units.

What is the surface area of disk if it's circumstance is 30cm?The area of the disk, AD = Units.Answer

Answers

The surface area of the disk is π x (15cm)2 = 706.858 cm2.

The area of the square is (30cm)2/4 = 225 cm2.

What is  surface area ?

Surface area is a measurement used to describe the total area of a two-dimensional object such as a flat surface or a curved surface. It is measured in units such as meters squared (m2) or feet squared (ft2). Surface area is an important concept in geometry and calculus, as it can help to determine the size of an object and the total area of a shape. It can also be used to calculate the surface area of a 3D object such as a sphere, cone, or cylinder. Surface area is also used to measure the amount of air or water on a surface, for example to determine the surface area of a lake. It can also be used to calculate the area of a room or a building, as well as the area of a plot of land.

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A machine has a velocity ratio of 5 and the efficiency is 80% what effort would be needed to lift a load of 200N​

Answers

Explanation:

To determine the effort needed to lift a load of 200N, given a velocity ratio of 5 and an efficiency of 80%, we can use the formula:

Efficiency = (Output Work / Input Work) * 100

Efficiency can also be calculated as the ratio of the output force to the input force. In this case, the output force is the load being lifted (200N), and the input force is the effort required.

Given that the velocity ratio is 5, it means that for every 5 units of distance the effort moves, the load moves 1 unit of distance. This implies that the effort is exerted over a greater distance than the load.

Let's denote the effort force as "E" and the distance moved by the effort as "dE." Similarly, the load force is "L," and the distance moved by the load is "dL."

Using the velocity ratio, we have the following relationship:

dE / dL = 5

Now, we can calculate the input work (Wi) and the output work (Wo):

Input Work (Wi) = Effort (E) * Distance moved by the effort (dE)

Output Work (Wo) = Load (L) * Distance moved by the load (dL)

Given that the efficiency is 80%, we can rewrite the formula for efficiency as:

0.80 = (Wo / Wi) * 100

Now, let's solve for the effort (E) using the given values:

Load (L) = 200N

Efficiency = 0.80

Velocity Ratio = 5

First, calculate the output work (Wo):

Wo = Load (L) * Distance moved by the load (dL)

Since the velocity ratio is 5, the distance moved by the load (dL) will be 1/5 of the distance moved by the effort (dE):

dL = (1/5) * dE

Wo = L * (1/5) * dE

Wo = 200N * (1/5) * dE

Wo = 40N * dE

Next, calculate the input work (Wi):

Wi = Effort (E) * Distance moved by the effort (dE)

Wi = E * dE

Now, substitute the values into the efficiency formula:

0.80 = (Wo / Wi) * 100

0.80 = (40N * dE) / (E * dE) * 100

0.80 = 40 / E * 100

0.80 * E = 40

E = 40 / 0.80

E = 50N

Therefore, the effort needed to lift a load of 200N with a velocity ratio of 5 and an efficiency of 80% is 50N.

A ball is thrown up into the air for a total of 1.25 s before it is caught at its original position . How high did the ball go

A ball is thrown up into the air for a total of 1.25 s before it is caught at its original position .

Answers

\(v^2=v^2_o+2g(y-y_o)\)

so:

The initial speed is given by:

\(\begin{gathered} v=v_o+at \\ _{\text{ }}where\colon \\ v=-v_o \\ a=g=-9.8 \\ t=1.25 \\ so\colon \\ -v_o=v_o+(-9.8)\cdot1.25 \\ -2v_o=-12.25 \\ v_o=\frac{-12.25}{-2} \\ v_o=6.125 \end{gathered}\)

Therefore:

\(\begin{gathered} y_o=0 \\ v_{}=0 \\ v_o=6.125 \\ so\colon \\ y=\frac{-v^2_o}{2g} \\ y=\frac{-6.125^2}{2(-9.8)} \\ y=1.91m \end{gathered}\)

Answer:

1.91m

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