If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).
(a)
Calculate the ideal speed in (m/s) to take a 120 m radius curve banked at 15°.
(b)
What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 15.0 km/h?

Answers

Answer 1

Hi there!

(A)

For a banked curve, we know that:

∑F = MgsinФ (force due to gravity)

And:

∑F = mv²/r

The cosine of the centripetal force, mv²/r, is involved in the summation of forces, so:

(mv²/r)cosФ = mgsinФ

Simplify the equation:

(v²/r)cosФ = gsinФ

Divide both sides by cosФ:

(v²/r) = gtanФ

Solve for v:

v = √grtanФ

Plug in given values. g ≈ 9.8 m/s²

v = √(9.8 · 120 · tan(15)) = 17.75 m/s

(b)

Incorporating friction, we now can rewrite the sum of forces. Let's first determine the frictional force acting on the car.

As the horizontal component of the centripetal force is the net force, the vertical component works in the direction of the normal force, so we must include it in the calculation of the frictional force.

First, convert 15 km/h to m/s:

15km / h * 1000 m / 1km * 1 h / 3600 sec = 4.167 m/s

Thus:

∑F = mgsinФ - μ(mgcosФ + (mv²/r)sinФ)

mv²/r = mgsinФ - μ(mgcosФ + (mv²/r)sinФ)

Divide all terms by the mass:

v²/r = gsinФ - μ(gcosФ + (v²/r)sinФ)

Solve for μ:

v²/r - gsinФ = - μ(gcosФ + (v²/r)sinФ)

-(v²/r - gsinФ)/(gcosФ + (v²/r)sinФ)  = μ

Plug in the given values:

μ = 0.25


Related Questions

is this kinetic energy ---> elastic potential energy OR elastic potential energy ---> kinetic energy ??​

Answers

Answer:

it is potential energy ---- kinetic energy

a uniform rod 8m long weighing 5kg is supported horizontally by two vertical parallel strings at p and q and at distance 2m and 6m from one end.
Weight of 1kg, 1.5kg and 2kg are attached at distance of 1m 5m and 7m respectively from the same end.
find the tension in each vertical string

Answers

Answer:

Fp = 36 N

Fq = 58 N

Explanation:

Let the left end be the reference end with string p closest to it.

Let CCW moments be positive

Sum moments about p to zero

1(9.8)[2 - 1] + Fq[6 - 2] - 5(9.8)[8/2 - 2] - 1.5(9.8)[5 - 2] - 2(9.8)[7 - 2] = 0

                                                                              Fq[4] = 23.5(9.8)

                                                                                  Fq = 57.575 ≈ 58 N

Sum moments about q to zero

1(9.8)[6 - 1]  - Fp[6 - 2] + 5(9.8)[6 - 8/2] + 1.5(9.8)[6 - 5] - 2(9.8)[7 - 6] = 0

                                                                                                     Fp = 35.525 N

or

Sum vertical forces to zero

Fp + 57.575 - (9.8)(1 + 1.5 + 2 + 5) = 0

Fp = 35.525  ≈ 36 N

I NEED HELP PLZZZZZZ

Answers

Mostly GPE and a little KE since the ball is high up (GPE) and it's also moving (KE) but not as much as it had when you first threw it

A 0.038-kg bullet enters a 3.2-kg watermelon and embeds itself in the melon. The melon is immediately set into motion with a speed of 3.82 m/s. The bullet remains lodged inside the melon. What was the entry speed of the bullet (m/s)?

Answers

Hi there!

This is an example of a perfectly inelastic collection, so:

mb = mass of bullet

vb = velocity of bullet

mw = mass of watermelon

v = velocity final

mbvb = (mb + mw)v

Rearrange to solve for the velocity of the bullet:

vb = (mb + mw)v/mb

Plug in values:

vb = (0.038 + 3.2)(3.82)/(0.038) = 325.504 m/s


A simple pendulum oscillates 40 times in 20 second. What is the time period of the pendulum?​

Answers

Time period =
Number of oscillations in time t
t

=
40
4

=0.1 s
Frequency =
Time period
1

=

The weight of an astronaut plus his space suit on the Moon is only 260 N.
how much is the weight on earth assuming the gravity on the moon is 1.67?

Answers

Answer:

2.68

Explanation:

sana maka tulong hehe
djddndndnd the answer is 2.68

If a ball is kicked horizontally off of a building at 8.0 m/s, what is the horizontal velocity (vx) after 3
seconds?

Answers

The characteristics of the projectile launch allows to find the result for the velocity on the x axis is:

In the horizontal axis there is no acceleration and therefore the speed must be kept constant. The horizontal speed is  vₓ = 8.0 m / s

In projectile launching we have an application of kinematics to motion in two dimensions near the surface of the Earth.

In this case, on the vertical axis we have an acceleration directed towards the center of the planet and called the gravity acceleration.

In the horizontal axis or x axis there is not acceleration, except in special cases that we tone is how much the resistance of the air.

Consequently in the horizontal axis there is no acceleration and therefore the speed must be kept constant, the result for the horizontal speed is:

           vₓ = 8.0 m / s

Learn more here: brainly.com/question/17228361

Waves can travel but the medium does not "travel" with it, even though they may move up and down.

False
True

Answers

Answer:

TRUE

Explanation:

The  statement "Waves can travel but the medium does not "travel" with it, even though they may move up and down." is a true statement

Option A is correct

What are Waves?

A wave is simply defined as a disturbance in a medium that carries energy from point to point and can take the form of elastic deformation, a change in pressure, magnetic strength, electric potential, or temperature.

In conclusion, Mediums are the pathways or channel for travelling waves

Read more about Wave

https://brainly.com/question/3004869

PLEASE HELP
A student uses a ping pong ball launcher to shoot a projectile across a classroom. the launcher sits at the edge of a table and releases the ping pong ball 1.2 meters above the floor. as the ball leaves the launcher it has a speed of 13 m/s. if 5m/s is in the upwards direction and 12m/s is in the forward direction how far from the base of the table does the ping pong ball land

Answers

Answer:

Explanation:

It is hard to imaging that wind resistance is not a factor for such a low mass ball, but we must make that assumption on the first estimate.

s = s₀ + v₀t + ½at²

vertical analysis with floor level as origin

0 = 1.2 + 5t + ½(-9.8)t²

0 = 1.2 + 5t - 4.9t²

quadratic formula positive answer

t = (-5 - √(5² - 4(-4.9)(1.2))) / (2(-4.9))

t = 1.22 s is the flight time

horizontal analysis with launcher as origin

s = 0 + 12(1.22) + ½(0)1.22²

s = 14.6517... 15 m

If a car accelerates from rest at a constant of rate of 5.5m/s^2 north, how long will it take for the car to reach a velocity of 28 m/s north?

Answers

Answer:

Explanation:

vo= 0

a=5.5m/s^2

v= 28 m/s

t=?

v=vo+at

at=v-vo

t=(v-vo)/a

t=28/5.5

t=5.09 seconds

The gravitational field strength on earth is 10n/kg. find the weight of an object of mass 25kg​

Answers

Answer:

250N

Explanation:

weight = Mass(in kg) × Gravitational field strength

25 × 10 = 250N

Answer:

250 N

Explanation:

Refer the attachment for explanation.

Reflect on your new experiences, what made you uncomfortable and what encouraged you. Did you learn anything new about yourself on the trip? Traveling can help you improve. Think about your journey and if it helped you grow in any way.​

Answers

Answer:

keke

Explanation:

Which of the following types of energy would cause one piece
of metal to be attracted to another?
a heat
b nuclear
c light
d magnetic

Answers

Magnetic is the best and only answer

CEK- 9. If the speed of sound at 0° C is vo, the velocity at 273° C will be (a) 2 vo (b) 0.5 vo b (c) (d) 0.7 vo 1.4 vo​

Answers

Answer:

D

Explanation:

273 * 0.6=163.8

vo≈331

the electric field at point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.

Answers

the answer is 825.7 m/s.

A 10 g dime and a 200 g gold coin are dropped from the Empire State Building in

New York at the same time.; if there is no air resistance which hits the ground first?

A.They both hit the ground at the same time

B.Which hits first depends on the weather & temperature of the air.

C.The 200 g gold coin hits the ground first

D.The 10 g dime hits the ground first

Answers

Answer:

Explanation:

The both hit the ground at the same time. There is no air resistance and that includes the factors brought up in B.

C and D are both eliminated. If you dropped an 800 kg honda Fit it would hit the ground at the same time as the two coins. When you look at the formulas used to derive time, they look like

d = vi * t + 1/2 a* t^2

vi = 0

the distance to fell is the same for all three masses.

a is the same for all 3 masses.

So when you solve for t, there is no mention of the mass of the object falling. Therefore t is dependent only on the height.

Can air make shadows?

Answers

Answer:

Yes, air can indeed make shadows. A shadow occurs when an object in a light beam prevents some of the light from continuing on in the forward direction. When the light beam hits a wall or the ground, a darker shape is visible where less light is hitting the surface. Refraction is responsible.

Explanation:

Here is a clip of an example of air making a shadow

https://www.seeker.com/stories/air-shadows/

Consider three properties of the net force on an object: a magnitude, direction, and angle with respect to the objects path. For the following situation select the choice that indicates wether these quantities are constant or changing during the course of the motion.

1. The magnitude and the angle of the net force with respect to path are constant, but the direction is changing

2. The direction and the angle of the net force with respect to path are constant, but the magnitude is changing.

3. The magnitude and direction of the net force are changing, but the angle of the net force with respect to path is constant.

4. The magnitude, direction, and angle with respect to path for the net force are constant.

5. The magnitude and direction of the net force are constant, but the angle of the net force with respect to path is changing.

Answers

Answer:

Explanation:

yeah i dont know i need the answer too

Agents of socialization?

Answers

Answer:

agents of socialization are:-

family

peers

school

mass media

Agents of socialization include the family, religion, peer groups, economic systems, legal systems, panel systems, language and the media

100k points pls solve asap or no points

Answers

Answer:

Explanation:

You have given us a very weird question. Things do not mesh

If the mass is 500 kg and sits 25 m above the lowest spot on the track, the potential energy is

PE  = mgh = 500(9.8)(25) = 122500 Joules,

not the reported 61250 Joules

So either the Joules is incorrect or the mass is supposed to be 250 kg.

In either case, in the absence of friction, the potential energy will convert to kinetic energy.

½mv² = mgh

     v = √2gh

which does not involve the use of either Joules or kilograms.

Maximum velocity when starting from rest is

v = √(2(9.8)25) = √490 = 22.135943...

v = 22 m/s

The U.S. uses a household voltage of 110 V. However, electric stoves and dryers are wired with
220 V lines. Which would cause less damage --plugging a 110 V-rated curling iron into a 220 V
outlet, or a German-made 220 V-rated curling iron into a 110 V outlet? Explain. (Note: 110 and
220 V outlets are made in different shapes so that appliances cannot be accidentally
interchanged.)

Answers

Answer:

In the United States and neighboring countries, however, household outlets run at 110 or 120 volts. This can pose a serious problem for travelers. Connecting a 220-volt appliance to a 110-volt outlet can damage or destroy the appliance

How much gravitational potential energy is stored in a 2.0kg object that has been raised up to a height of 3.5m

Answers

Answer:

68.6 joules

Explanation:

g.p.e=mass × gravity × height

= 2 × 9.8 × 3.5

=68.6 joules

xác định quỹ của chất điểm chuyển động với phương trình chuyển động sau đây

Answers

Answer:

pls English

Explanation:

plsss,ಠ﹏ಠಠ﹏ಠಠ﹏ಠಠ﹏ಠಠ﹏ಠಠ﹏ಠಠ﹏ಠ

Your new motorcycle weighs 2580 N.
The acceleration of gravity is 9.8 m/s2.
What is its mass?
Answer in units of kg.

Answers

Answer:

answer to your question is 263.26kg

Explanation:

m=f÷a ,m=2580÷9.8=263.26kg

A box of mass 20kg rests on a flat horizontal floor. if the density of air is negligible. Draw a diagram showing forces acting on the box​

Answers

Hey
There are only two forces acting on the box!!!
Here it is, hope it helps!

An object if mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons.​

Answers

Hi there!

On the object, we know that there are two forces working on the object:

-Force due to gravity (Mg)

-Force due to air resistance

Let the positive direction of the force be downwards (direction of the acceleration)

We can write the summation of forces as:

∑F = Mg - Fa

Plug in values. Let g ≈ 10 m/s²

∑F = 30(10) - 50 = 250N

Find the acceleration using the formula:

∑F = m · a

∑F/m = a

Plug in values:

250/30 = 8.33 m/s²

momentum is conserved it can be transferred but not lost. true or false​

Answers

Answer: False

explanation: because Total momentum is conserved only if the collision can be considered isolated from the influence of net external forces

Questions

Q1. In this lab the centripetal force is provided by
a) the person’s hand
b) the tube
c) the hanging weight
d) the spinning motion

Q2. If the mass of the stopper were doubled but other things remained the same, the hanging mass would need to be
a) doubled
b) halved
c) tripled
d) quadrupled

Q3. If the velocity of the stopper were doubled, but other things remained the same, the hanging mass would need to be
a) doubled
b) halved
c) tripled
d) quadrupled

Answers

Answer:

just doing your module wag asa brainly ok malaki kna

Weight refers to the pull of _________ on an object.

Question 2 options:

mass


gravity


volume

Answers

Answer: Weight refers to the force of gravity acting upon an object.

(Answer B)

the answer is b gravity

You throw a ball upward with an initial speed of 3.0 m/s from an initial height of 1.5 m. After you throw the ball, its acceleration is 9.81 m/s downward. Taking upward to be the positive direction, write the position-time equation for the ball's motion​

Answers

Answer: An object undergoing a constant acceleration can have its motions be described by the kinematic equations. These equations relate the position of the particle, its velocity, acceleration, and time.

Explanation:

Answer:

vf^2=vo^2+2ay(y1-y0)

Explanation:

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