A car with a mass of 1000 kg is moving on an un-banked ramp with a radius of 100 m. what is the maximum speed the car can move without skidding if the coefficients of static and kinetic friction are 0.80 and 0.60 respectively

Answers

Answer 1

The maximum speed the car can move without skidding is determined as 28 m/s.

Maximum speed of the car

The maximum speed of the car moving in a circular path is provided by static frictional force.

Fs = μFₙ = mv²/r

μFₙ = mv²/r

mv² = μFₙr

v² = μFₙr/m

[tex]v_{max} = \sqrt{\frac{\mu_s F_n r}{m} } \\\\v_{max} = \sqrt{\frac{\mu_s (mg) r}{m} } \\\\v_{max} = \sqrt{\mu_sgr} \\\\v_{max} = \sqrt{(0.8)(9.8)(100)}\\\\v_{max} = 28 \ m/s[/tex]

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Related Questions

2. Use the pattern of charge distribution to draw the relative size of the atoms in the space below. Please fill out the table!!! thank you

Answers

Potassium will have the greatest atomic size because of its number of shells, followed by sodium which 1 valence electron compared to magnesium the same number of shells but 2 valence electrons.

Relative size of the atoms

The relative size of the atoms is determined from the number of shells and valence electron contained in the atom.

Sodium, 11 ----> 2, 8, 1

Magnesium, 12 ----> 2, 8, 2

Potassium, 19, -----> 2, 8, 8, 1,

Potassium will have the greatest atomic size because of its number of shells, followed by sodium which 1 valence electron compared to magnesium the same number of shells but 2 valence electrons.

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A track consists spring launcher on one end. A spring which is compressed 0.5 m has a
spring constant of 25 N/m. A 0.05 kg ball is resting at the end of the spring. When
released, the spring pushes the ball down the track. It collides and sticks to a second
block of 0.05 kg at rest.

Answers

(a) The velocity of the first ball before the collision with the second ball is 11.18 m/s.

(b) The final velocity of the two balls after the collision is determined as 5.59 m/s.

Speed of the block when pushed by the spring

The speed of the block when pushed by the spring is calculated as follows;

K.E = Ux

¹/₂mv² = ¹/₂kx²

mv² = kx²

v² = kx²/m

v² = (25 x 0.5²)/0.05

v² = 125

v = 11.18 m/s

Final velocity of the two balls after the collision

The velocity of the two balls after the collision is calculated as follows;

Pi = Pf

where;

Pi is initial momentum Pf is final momentum

m1u1 + m2u2 = v(m1 + m2)

0.05(11.18) + 0.05(0) = v(0.05 + 0.05)

0.559 = 0.1v

v = 5.59 m/s

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How long does 100m long train take a cross a bridge of length 4.9 km at a speed of 50m/s

Answers

Answer:

it would take 100s for the train to crossthe bridge

it is seen that in a balloon filled with air,if we press one side of the balloon the other side bulges out.why is it so???​

Answers

When we apply pressure on the one side of balloon the other side bulges out due to the movement of gas to other side.

What happen when we press one side of the balloon?

If we press one side of the balloon, the other side bulges out because the gas that present on one side moves to the other side where there is no pressure. The body of balloon is elastic so when we apply pressure the other side bulges out.

So we can conclude that when we apply pressure on the one side of balloon the other side bulges out due to the movement of gas to other side.

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none hsbisneienbjsnsidns ueheijejeie idhdidnis idndidjd idjdi

Answers

Answer:

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍

Two waves overlap producing a new wave that exhibits destructive interference. Which statement correctly describes the new wave?

A. It has a larger amplitude than the waves that overlapped to produce it.

B. It has deeper troughs than the waves that overlapped to produce it.

C. It has taller crests than the waves that overlapped to produce it.

D. It has a smaller amplitude than the waves that overlapped to produce it.​

Answers

A new wave created by the destructive interference of two waves is produced. The new wave is accurately described in statement A. Its amplitude is greater than that of the waves that produced it.

What is the definition of destructive interference?

Destructive interference happens when the maxima of two waves are 180° out of phase; a positive displacement of one wave is canceled exactly by a negative displacement of the other wave.

Two or more waves combining to produce a wave with a smaller displacement is called destructive interference.

Two waves overlap producing a new wave that exhibits destructive interference. It has a larger amplitude than the waves that overlapped to produce it.

Hence, statement A correctly describes the new wave.

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How does the value of gravity vary as you go:
i. above the earth surface?
ii. below the earth surface?

Answers

Answer:

Gravity changes with altitude. as we know The gravitational force is proportional to 1/R2, where R is your distance from the center of the Earth.

eg. The radius of the Earth at the equator is 6400 kilometers.

Let's say you were in a jet at the equator that was 40 kilometers high above the earth's surface.

may be helpfull

A surfacing whale in an aquarium produces water wave crests every 0.40 seconds. If the water wave travels at 4.5 meters per second, the wavelength of the wave is

Answers

For a surfacing whale in an aquarium produces water wave crests every 0.40 seconds.is mathematically given as

w= 1.8m

What is the wavelength of the wave?

Generally, the equation for is mathematically given as

w=V*T

Therefore

w=V*T

w=4.5 m/s*0.40s

w= 1.8m

In conclusion,  the wavelength of the wave

w= 1.8m

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The voltage provides the push for an electric current within the electromagnet. What is your evidence that a magnetic field is also present

Answers

The evidence that a magnetic field is also present is the paper clips get attracted to the rod.

What is magnetic field?

It is the region of space where an object experiences magnetic force either attracted or repelled.

The voltage provides the push for an electric current within the electromagnet. The paper clips placed nearby will get attracted towards the magnetic material rod.

Thus, this give an evidence that magnetic field is also present.

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What is the direction of a current that experiences the magnetic force shown above

east
south
north
west

Answers

Answer:

Sorry if I kwon the

answer I telling u

the answer sorry

when a metal sphere is dropped in to a tall cylinder containing liquid its acceleration is g÷2 (gravity over 2) show that : density of metal =2density of liquid​

Answers

The density of the metal sphere is 2 times the density of the liquid as proved.

Net upward force acting on the metal sphere

The net upward force acting on the sphere as it is dropped into the liquid is calculated as follows;

F =  σVg - ρVg

ma =  σVg - ρVg  

where;

ρ is density of the liquidσ is the density of the metala is acceleration of the metal

σV(a) =  σVg  - ρVg

σ(a) = σg  - ρg

σ(g/2) = σg -  ρg  

g(σ/2) = g(σ -  ρ)

σ/2 = σ -  ρ

σ/2 - σ = -  ρ

-σ/2 = -  ρ

σ = 2ρ --- proved

Thus, the density of the metal sphere is 2 times the density of the liquid as proved.

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The unit of length most suitable for measuring the thickness of a cell phone is a . The unit of length most suitable for measuring the height of a backyard tree is a?

Answers

The answers include the following:

The unit of length most suitable for measuring the thickness of a cell phone is a meter.The unit of length most suitable for measuring the height of a backyard tree is a meter.

What is Meter?

This is defined as the standard unit for measuring the length of a body and is denoted as m.

Height is a vertical type of length which is why meter was chosen as the most appropriate choice.

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A crane does exactly 1800 J of work to lift a steel beam from the ground. The beam is accidentally dropped and falls back to its starting position in 0.9 s. What is the mass of the beam

Answers

Answer:

Explanation:

1800x0.9=1620kg

What is true about determining the time of death of a victim?
group of answer choices=

forensic pathologists usually determine the exact time of death.

determining the time of death is critical to all criminal cases.

forensic scientists can often provide an estimated time of death.

the exact time of death can only be determined with dna evidence.

Answers

Forensic scientists can often provide an estimated time of death. Option C is correct.

What is forensic science?

By gathering and evaluating evidence, forensic science specialists support criminal investigations. Numerous technicians focus on either laboratory analysis or crime scene investigation.

Often, forensic experts can approximate the time of death.

Hence, the right answer is C.

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what is precision?what is precision? ​

Answers

Answer:

According to Oxford Dictionaries "Precision" means "the quality, condition, or fact of being exact and accurate."

Explanation:

Hope this helps! :)

Quality or state of preciseness or accuracy.

A parallel plate air capacitor has a capacitance of 10 to the power -9. What potential difference is required for a charge of 5×10 to the power -5 C? What is the total energy stored in it?

Answers

The potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules

What is the energy in a capacitor?

The energy stored in a capacitor is an electrostatic potential energy.

It is related to the charge(Q) and voltage (V) between the capacitor plates.

It is represented as 'U'.

How to determine the potential difference

Formula:

Potential difference, V is the ratio of the charge to the capacitance of a capacitor.

It is calculated using:

V = Q ÷ C

Where Q = charge 5 × 10∧-5C and C = capacitance 10∧-9

Substitute the values into the equation

Potential difference, V = 5 × 10∧-5 ÷  10∧-9 = 5 × 10∧4 volts

How to determine the energy stored

Formula:

Energy, U = 1 ÷ 2 (QV)

Where Q= charge and V = potential difference across the capacitor

Energy, U = 1 ÷ 2 ( 5 × 10∧-5 × 5 × 10∧4)

= 0.5 × 25 × 10∧-1

= 0.5 × 2.5

= 1. 25 Joules

Therefore, the potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules

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What was the name of the first living being to be put into orbit?.

Answers

The first living being to make an orbital spaceflight around the Earth was the dog Laika, aboard the Soviet spacecraft Sputnik 2 on 3 November 1957.

Question 9 of 25
Which term describes something that changes during an experiment?
OA Variable
OB. Vector
OC. Data
OD. Hypothesis

Answers

Answer:

C

Explanation:

The angular speed of a wheel of bicycle is 8pi rad/s what is period of rotation

Answers

I hope this woll work.Best of luck.Sorry of the answer ia wrong

How do I do this? I’m super confused.

Answers

From batteries, wires, and bulbs.

Explanation:

yes, correct, from the batteries, wires and bulbs. in short, from everything that is part of the circuit.

electricity is just a push on mostly already existing electrons to move along.

a battery has a surplus of electrons at the "-" pole, and an electron deficiency at the "+" pole. that creates an electromagnetic "pressure" (voltage), the surplus (ampere) squeezes into the circuit, while the deficiency pulls like a vacuum, and all that creates an electromagnetic field around the whole circuit, which moves also the existing electrons, pushing/sucking electrons at the end of the circuit "chain" into the "+" pole.

Five locations are marked on the world map. which location is most prone to hurricanes? five locations are marked on the world map. which location is most prone to hurricanes?


a.

b.

c.

d.

e.

Answers

Five locations are marked on the world map. The spot that is prone to hurricane mostly A.

What is hurricane?

A hurricane is a cyclone with winds of 74 miles (119 kilometers) each hour or more prominent that is typically joined by downpour, thunder, and lightning, and that occasionally moves into calm scopes.

The locations on the world map spot A, B, C, D, E are regions with country prone to hurricane.

The SPOT A, is GULF of Mexico, a sea bowl nearer to the Atlantic sea, encompassed with the North American landmass, the Hawaiian island is likewise inside that locale.

The SPOT B, is the southern Pacific sea with nations like BRAZIL, PERU, ECUADOR, CHILE, in that equivalent locale. This is likewise visited by the tropical storm.

The SPOT C, is inside the locales of AFRICA, nations at the edge are likewise impacted by typhoon.

The SPOT D, is Asian landmass with Russia at the edge. They are likewise inclined to typhoon.

The SPOT E, is the North Pacific sea locale situated at the upper left hand side of the world guide, with nations like Canada, Alaska and co. Near the artic circle.

Thus, location A is the most prone to hurricanes.

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I believe the answer is A. a

I've done the test, 16/16

how can geo thermal energy be used ?​

Answers

Answer:

Geothermal energy can heat, cool, and generate electricity: Geothermal energy can be used in different ways depending on the resource and technology chosen—heating and cooling buildings through geothermal heat pumps, generating electricity through geothermal power plants, and heating structures through direct-use

Explanation:

geothermal energy, form of energy conversion in which heat energy from within Earth is captured and harnessed for cooking, bathing, space heating, electrical power generation, and other uses. Heat from Earth's interior generates surface phenomena such as lava flows, geysers, fumaroles, hot springs, and mud pots.

A basketball, a pool cue ball, and a golf ball all fall down in the absence
of air resistance. Which of the following is true about their
acceleration?

Answers

The acceleration of all objects increases when there is no air resistance because air resistance slow down the speed of an object.

What is acceleration?

The rate of change in velocity over time is known as acceleration. Velocity is the speed of an object in a specific direction. Acceleration occurs when change occurs in velocity.

So we can conclude that the acceleration of all objects increases when there is no air resistance because air resistance slow down the speed of an object.

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Find the magnetic field (positive magnitude only, no direction) at point p. i1 = 12.0 a r1=2.40 m i2 = 10.0 a r2 = 1.25 m

Answers

The magnetic field (positive magnitude only, no direction) at point p is further explained below.

B=1.89*10^{-6}

What is the magnetic field (positive magnitude only, no direction) at point p.?

Generally, the equation for magnetic field is mathematically given as

[tex]B= \frac{\mu0}{2\pi}*\frac{I1}{r1}[/tex]

Therefore

[tex]B1= \frac{2*10^{-7}(10)}{240}[/tex]

B1=1*10^{-6}T

and

[tex]B2= \frac{2*10^{-7}(10)}{1.25}[/tex]

B2=1*10^{-6}T

In conclusion,

[tex]B=\sqrt{B1^2+B2^2}[/tex]

B=1.89*10^{-6}

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Air escaping out from an air hose at a gas station always feels cool. Why? ​

Answers

Answer:

The air is contained at a high pressure in the tube. When it escapes from a small orifice, it suddenly expands. A large amount of its heat is absorbed in the process of expansion resulting in considerable fall in its temperature. This is why the escaping air feels cold.

A flywheel rotating at an initial velocity of 2.09 rad/s undergoes a change to 4.6 rad/s for precisely 5s

a) Calculate the angular acceleration of the flywheel.

b) Suppose the flywheel has moment of inertia of 1.5 kg m^2. Compute the wheels torque?
[Please answer if you know]

Answers

Answer:

A. 0.502

B. 0.753

Explanation:

A. The angular acceleration of the flywheel is equal to the change in angular velocity divided by the change in time, which is equal to (4.6-2.09)/5 which is 0.502.
B. Angular acceleration is equal to the net torque divided by the rotational inertia. If you rearrange the equation, torque is equal to angular acceleration times rotational inertia, which is 0.502 times 1.5 which is 0.753.

Answer:

Assumption: the angular acceleration of this flywheel is constant.

Angular acceleration: [tex]0.502\; {\rm rad\cdot s^{-2}}[/tex].

Net torque on this flywheel: [tex]0.753\; {\rm kg \cdot m^{2} \cdot s^{-2}[/tex] (or, equivalently, [tex]0.753\; {\rm N \cdot m}[/tex].)

Explanation:

Change in the angular velocity of this flywheel:

[tex]\begin{aligned}\Delta \omega &= \omega_{1} - \omega_{0} \\ &= 4.6\; {\rm rad \cdot s^{-1}} - 2.09 \; {\rm rad \cdot s^{-1}} \\ &= 2.51\; {\rm rad \cdot s^{-1}}\end{aligned}[/tex].

Divide this change in angular velocity [tex]\Delta \omega[/tex] with the duration [tex]t[/tex] of the acceleration to find the average angular acceleration of this flywheel:

[tex]\begin{aligned}\alpha &= \frac{\Delta \omega}{t} \\ &= \frac{2.51\; {\rm rad \cdot s^{-1}}}{5\; {\rm s}} \\ &= 0.502\; {\rm rad \cdot s^{-2}}\end{aligned}[/tex].

By Newton's Second Law for Rotation, the net torque on this flywheel would be the product of the angular acceleration and the moment of inertia of this flywheel, [tex]I[/tex]:

[tex]\begin{aligned}\tau_{\text{net}} &= I\, \alpha \\ &= 1.5\; {\rm kg \cdot m^{2}} \times 0.502\; {\rm s^{-2}} \\ &= 0.753\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 0.753\; {\rm (kg \cdot m \cdot s^{-2}) \cdot m} \\ &= 0.753\; {\rm N \cdot m}\end{aligned}[/tex].

You apply a horizontal force of 25N to push a shopping cart across the parking lot at a constant velocity. a) what is the net force on the shopping cart ? b) What is the force of friction on the shopping cart ? c) What will happen to the shopping cart if you come across a wet portion of the parking lot and you continue to apply the same force ?

Answers

(a) The net force on the shopping cart is zero.

(b) The the force of friction on the shopping cart is 25 N.

(c) When same force is applied to the shopping cart on a wet surface, it will move faster.

Net force on the shopping cart

The net force on the shopping cart is calculated as follows;

F(net) = F - Ff

where;

F is the applied forceFf is the frictional force

ma = F - Ff

where;

a is acceleration of the cartm is mass of the cart

at a constant velocity, a = 0

0 = F - Ff

F(net)  = 0

F = Ff = 25 N

Net force is zero, and frictional force is equal to applied force.

On wet surface

Coefficient of kinetic friction of solid surface is greater than that of wet surface.

Since frictional force limit motion, when the frictional force is smaller, the object tends to move faster.

Thus, the cart will move faster on a wet surface due to decrease in friction.

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On a hot day, the deck of a small ship reaches a temperature of 48
17.0°C seawater on the deck to cool it down. During the cooling, 3,710,000 J are transferred to the
seawater from the deck. Assume no energy or mass is lost from the system. Use c = 3,930 J/kg°C for
seawater.
Calculate the final temperature of the seawater-deck system.
Write your answer rounding to the nearest tenth.

Answers

The final temperature of the seawater-deck system is 990°C.

What is heat?

The increment in temperature adds up the thermal energy into the object. This energy is Heat energy.

The deck of a small ship reaches a temperature Ti= 48.17°C seawater on the deck to cool it down. During the cooling, heat Q =3,710,000 J are transferred to the seawater from the deck. Specific heat of seawater= 3,930 J/kg°C.

Suppose for 1 kg of sea water, the heat transferred from the system is given by

3,710,000 = 1 x 3,930 x (T - 48.17)

T = 990°C  to the nearest tenth.

The final temperature of the seawater-deck system is 990°C.

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As waves approach the shore, they ________. Group of answer choices are reflected off the shoreline but never refract refract so as to impact the shore nearly perpendicular to the shoreline reflect directly backward from the angle at which they approach the shoreline refract so as to impact the shore in a nearly parallel manner

Answers

As waves approach the shore, they refract so as to impact the shore in a nearly parallel manner.

What is Water wave?

This is a type of mechanical wave and requires a medium for its propagation which in this case is water.

This type of wave refract and impact the shore in an almost parallel manner hence option D being chosen.

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A boy on rollerskates is travelling along at 8 m/s. He has a mass of 60 kg and is carrying his
school bag of mass 10 kg. He throws the bag directly forward at 20 m/s relative to the
ground. Calculate the boy's speed after throwing the bag forward?

Answers

Answer:

6m/s

Explanation:

the original momentum = mass x velocity = 8x (60+10) = 560

momentum after = mass x velocity of the school bag + mass x velocity of the boy = 10x20 + 60x A

200+60A = 560

A=6

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