What is the ideal banking angle (in degrees) for a gentle turn of 2.00 km radius on a highway with a 125 km/h speed limit (about 78 mi/h), assuming everyone travels at the limit
Answers
An "ideal" banking angle assumes no friction is required to keep a car on the road as it turns. Let θ denote the banking angle, and consult the attached free-body diagram for a car making the turn. There are only 2 relevant forces acting on the car,
• the normal force with magnitude n
• the car's weight with magnitude w
and the net force points toward the center of the circle made by the turn, with centripetal acceleration
a = (125 km/h)² / (2.00 km) = 7812.5 km/h² ≈ 0.603 m/s²
Split up the forces into components acting perpendicular (⟂) and parallel (//) to the banked curve, so that by Newton's second law,
∑ F (⟂) = N + W (⟂) = m a (⟂)
and
∑ F (//) = W (//) = m a (//)
Let the direction of N be the positive perpendicular axis, and down the incline and toward the center of the circle the positive parallel axis. The net force vector and acceleration both make an angle θ with the banked curve, and W makes the same angle with the negative perpendicular axis, so that the equations above reduce to
N - m g cos(θ) = m a sin(θ)
and
m g sin(θ) = m a cos(θ)
The second equation is all we need at this point to find the ideal θ. The mass m cancels out, and we can solve for θ to get
tan(θ) = a/g ≈ (0.603 m/s²) / (9.80 m/s²) ≈ 0.0615
→ θ ≈ 3.52°
Related Questions
Uncle Harry weighs 750 N. What is his mass in kg?
Answers
Answer:
W = MG
750 = M * 10
M = 750/10
M = 75 kg
Answer:
76.479 Kilograms Force (kgf)
Explanation:
An object has an acceleration of 6.0 m/s/s. If the net force acting upon this object were tripled , then its new acceleration would be _____ m/s/s.
Answers
Answer:
18m/s/s
Explanation:
6 times 3= 18
An object has three forces acting upon it, the first force is 58.2 N to the right and the second force is 14.0 N to the left. What is the magnitude of the third force, such that the object travels at a constant velocity? Answer in units of N and be sure to include all necessary work, as well as a free body diagram.
Help Please!
Answers
Answer:
44.2 N towards left
or
-44.2 N towards right
Explanation:
pls refer attachment for detailed solution
Which of the following would have the least amount of inertia? Assume all the bags are the same size.
bag of rocks
bag of feathers
bag of bricks
bag of sand
Answers
A gun recoils back when the bullet is fired ,why?
Answers
A gun recoils back when the bullet is fired due to conservation of momentum. Conservation of momentum suggest that - the net change of momentum in a closed system must be zero.
Therefore in equation form -
[tex]mv - mu = 0[/tex]
Why does a gun recoil when a bullet is fired?
Explanation:When a bullet is fired, the gun exerts a force on the bullet through the trigger (this is action) in a particular direction. According to Newton's Third Law, we know to every action there is an equal and opposite reaction; action and reaction act on different bodies. So, the bullet will also exert an equal and opposite reaction on the gun in the opposite direction. That is why a gun recoils when a bullet is fired from it.
Hope it helps.ray4918 here to helpWhat do the most abundant elements in Earth’s atmosphere have in common?
Answers
Answer: Since the oceans are mostly water, the elements hydrogen and oxygen are the most common. Sodium and chlorine are found in the salt in ocean water. Earth's atmosphere is made up of a combination of gases, including nitrogen, oxygen, and carbon dioxide. Nitrogen and oxygen are the most common elements in the atmosphere..
On an air track, a 4-kg cart moving at 3 m/s collides with a 2-kg cart that is
initially at rest. If the two carts stick together, what will be their velocity
after the collision? Show all calculations, including any equation(s) used,
and include correct measurement units. *
Your answer
Answers
Answer:
v₃ = 2 [m/s]
Explanation:
To solve such problems we must use the principle of conservation of momentum. That is, the linear momentum is conserved before and after the collision.
P = m*v
where:
P = linear momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
The momentum is conserved before and after the collision, in this way we can obtain the following equation.
[tex](m_{1}*v_{1})+(m_{2}*v_{2})=(m_{1}+m_{2})*v_{3}[/tex]
where:
m₁ = mass of the cart moving = 4 [kg]
v₁ = velocity of the cart moving before the collision = 3 [m/s]
m₂ = mass of the cart initially at rest = 2 [kg]
v₂ = velocity of the cart at rest = 0
v₃ = velocity of the two carts combined (carts stick together) after the collision [m/s]
[tex](4*3)+(2*0)=(4+2)*v_{3}\\v_{3}=12/6\\v_{3}=2[m/s][/tex]
What does the slope on a velocity-time graph measure?
Answers
Answer:The slope in the velocity-time graph represents the acceleration. The slope is defined as the ratio of change in y-axis to change in the x-axis. The slope is represented by the letter m and following is the general formula used for determining the slope:
Explanation:
is that what it’s asking?
HELP ASAPP!! WILL TRY TO GIVE BRAINLIEST
What is produced in the nucleolus?
Answers
Answer: Image result for What is produced in the nucleolus?
The nucleolus is a region found within the cell nucleus that is concerned with producing and assembling the cell's ribosomes. Following assembly, ribosomes are transported to the cell cytoplasm where they serve as the sites for protein synthesis.
Explanation: hope this helps! PLs mark me as brainliest! Thank you and have a wonderful day/night!
What is S.I units ?
Answers
The International System of Units is the modern form of the metric system. It is the only system of measurement with an official status in nearly every country in the world.
Plz Mark me as brainlist
An 80kg sled rider starts sledding down a 100m hill from rest. If her final velocity is 15m/s, what is he acceleration down the hill? What is the force needed for that kind of acceleration
Answers
Given :
An 80kg sled rider starts sledding down a 100m hill from rest. If her final velocity is 15m/s.
To Find :
The acceleration down the hill.
The force needed for that kind of acceleration.
Solution :
By equation of motion :
[tex]v^2 -u^2 = 2as\\\\a = \dfrac{v^2-u^2}{2s}\\\\a = \dfrac{15^2 -0^2}{2\times 100}\\\\a = 1.125\ m/s^2[/tex]
Force required is, F = ma
F = 80×1.125 N
F = 90 N
Hence, this is the required solution.
Pick the correct word: inertia, whiplash, resistance, friction , force to fill up the blank in below question.
When hit from behind in a car crash, a passenger can suffer a neck injury from the forward and backward motion called _______.
Answers
Answer:
It is whiplash I hope this is right
A student presses her palm by her thumb with a force of 75 N . What would be the pressure under her thumb having contact area is 1.5 cm2
Answers
Step 1: Identify the knowns.
[tex] F=75 N [/tex]
[tex] A= 1.5 cm^2[/tex]
Step 2: Determine.
[tex] P= \frac {F} {A}\ [/tex]
[tex] P = \frac {75 N} {1.5 cm^2}\ = 50 Pa [/tex]
Answer:
50 Pascal
Explanation:
Pressure= Force/Area
P=75/1.5
=50 Pascal
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Place the molecules in the list in order with the smallest molecules at the top and largest molecules at the bottom: starch molecule, water molecule, glucose molecule, carbon dioxide molecule, protein molecule, amino acid molecule, oxygen molecule
Answers
Explanation:
list in order with the smallest molecules at the top and largest molecules at the bottom:
1.Oxygen
2.Water
3.Carbon dioxide
4.amino acid
5.Glucose
6. Starch
7. Protein
The molecules can be arranged as follows with the smallest at the top is oxygen, water, carbon dioxide, amino acid, glucose, starch, protein.
The given molecules;
starch, water, glucose, carbon dioxide, protein, amino acid, oxygen
The molecular weight of the given compounds is listed as follows;
water -------- 18 g/mol
glucose ------- 180.2 g/mol
starch (2 or more glucose) ------ 360 g/mol
carbon dioxide ------ 44 g/mol
protein -------- 20,000 g/mol
amino acid (glycine) ----- 75 g/mol
oxygen -------- 16 g/mol
Thus, the molecules can be arranged as follows with the smallest at the top;
oxygenwatercarbon dioxideamino acidglucosestarchproteinLearn more here:https://brainly.com/question/19537339
Help!!
Which is the most common source of ocean oil pollution?
A.oil spills
B.street runoff
C.offshore drilling
D.ship repairs
Answers
Answer:
Oil Spills.
Explanation:
Answer:
C
Explanation:
1. The coin remains at rest in the figure shown. This is due to
(a) inertia of rest
(b) two forces act on the coin which balance each other
(c) no unbalanced force acts on it
(d) all of these
Answers
Have a merry Christmas!
1. Which of the following is true about sound waves?
They move faster than light.
They make wind.
They vibrate the air.
They move slower in water than in air.
Answers
Answer:
They vibrate the air.
Explanation:
The sound waves in air are longitudinal while the light waves are transverse Sound wave is longitudinal because the medium particles move parallel to the direction of wave propagation, whereas a light wave is transverse because the medium particles move perpendicular to direction of wave propagation. Hence, option C is correct.
If a net force of 375N is acting on a crate and there is 65N of friction
created, what is the magnitude net force the crate experiences?
375N
65N
310N
440N
Answers
Answer:
310 N
Explanation:
The net force, I assume, is an applied force that is causing motion of the crate. However, frictional force opposes this motion, so the frictional force is in the opposite direction. Overall, we can create a net force equation of this crate as
Fnet= Force applied + Force of friction
Thus,
Fnet= 375N -65N (because friction is in the opposite direction)
Then solve to get that the net force while the crate is in motion is 310N.
If constants aren't given in an experiment, what can be constant in the experiment?
Answers
Answer:
Anything in an experiment that remains unchanged.
Explanation:
An example could be the temperature of the laboratory room. If there is something that has an effect on an experiment that is not variable, it is a constant. Another constant could be, say, if you were doing calculations with the same amount and kind of fluid throughout the experiment, then that fluid would also be a constant.
Instantaneous speed is measured _____.
Answers
Answer:
Instantaneous speed is measured in metres per second.
Answer:
I believe this speed is measured in knots...like a jet, or lightspeed/Lightyear...like in space
What is a Cell?
Don't look it up PLEASE... I WILL GIVE BRAINLIEST
Answers
Answer:
well
Explanation:
A cell is the basic functional and structural unit of life
Answer:
Cells are the basic building blocks of all living things
Explanation:
Two equal forces act at the same time on the same motionless object, but in opposite directions. Which statement best describes the object’s resulting motion?
A. The object will accelerate.
B. The object will move at a constant speed.
C. The object will remain motionless.
D. The object will change direction.
Answers
Jimmy runs a chain of souvenir shops in South Florida. He imports T-shirts and other apparel from Guatemala to sell in his stores. One day, student protesters damage several of his stores, demanding that he pay his workers in Guatemala a fair wage. Jimmy estimates the damage at $5,500. He sues the protestors for the damage they cause. Where is the original jurisdiction of this case?
Answers
Answer he would go to court veto bill
Explanation
that how it works
Is folding aluminum foil a chemical or physical change?
Answers
Answer:
Aluminum foil is a physical change. A further explanation is given below.
Explanation:
The processing of aluminum foil starts with either a succession of cool rolling procedures, wherever another density including its aluminum alloy becomes diminished by half amongst every method. Aluminum foil modified thickness and weight, but it would be an aluminum sheet, so it would be a physical transition or change.What is the acceleration of a car initially traveling at -5m/s and
reaching -22m/s in 3s.
Answers
Answer:
[tex]a=-5.67\ m/s^2[/tex]
Explanation:
Given that,
Initial velocity, u = -5 m/s
Final velocity, v = -22 m/s
Time, t = 3s
We need to find the acceleration of the car. The formula of it is given by :
Acceleration,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{(-22)-(-5)}{3}\\\\a=-5.67\ m/s^2[/tex]
So, the acceleration of the car is [tex]-5.67\ m/s^2[/tex].
An astronaut and his space suit have a combined mass of 157 kg. The
astronaut is using a 5 kg tqol kit to repair a solar panel on the International
Space Station. When the têther connecting the astronaut to the space
station becomes unattached, the astronaut, still holding the tool kit, starts
to float away at 0.2 m/s. Calculate the velocity with which the astronaut
must throw the tool kit in order to float back toward the space station at
0.1 m/s. Show your calculations and include units in your answer.
*
Answers
Answer:
v₃ = 9.62[m/s]
Explanation:
To solve this type of problem we must use the principle of conservation of linear momentum, which tells us that the momentum is equal to the product of mass by velocity.
We must analyze the moment when the astronaut launches the toolkit, the before and after. In order to return to the ship, the astronaut must launch the toolkit in the opposite direction to the movement.
Let's take the leftward movement as negative, which is when the astronaut moves away from the ship, and rightward as positive, which is when he approaches the ship.
In this way, we can construct the following equation.
[tex]-(m_{1}+m_{2})*v_{1}=(m_{1}*v_{2})-(m_{2}*v_{3})[/tex]
where:
m₁ = mass of the astronaut = 157 [kg]
m₂ = mass of the toolkit = 5 [kg]
v₁ = velocity combined of the astronaut and the toolkit before throwing the toolkit = 0.2 [m/s]
v₂ = velocity for returning back to the ship after throwing the toolkit [m/s]
v₃ = velocity at which the toolkit should be thrown [m/s]
Now replacing:
[tex]-(157+5)*0.2=(157*0.1)-(5*v_{3})\\(5*v_{3})= 15.7+32.4\\v_{3}=9.62[m/s][/tex]
The velocity with which the astronaut must throw the tool kit is 9.62 m/s.
The given parameters:
Mass of the astronaut and space suit, m₁ = 157 kgMass of the tool kit, m₂ = 5 kgVelocity of the astronaut and tool kit, v = 0.2 m/sVelocity of the astronaut and space station, u₁ = -0.1 m/sApply the principle of conservation of linear momentum to determine the velocity of the tool kit;
[tex]m_1 u_1 + m_2u_2 = v(m_1 + m_2)\\\\-0.1(157) \ + 5u_2 = 0.2(157 + 5) \\\\-15.7 + 5u_2 = 32.4\\\\5u_2 = 32.4 + 15.7\\\\5u_2 = 48.1\\\\u_2 = \frac{48.1}{5} \\\\u_2 = 9.62 \ m/s[/tex]
Thus, the velocity with which the astronaut must throw the tool kit is 9.62 m/s.
Learn more about conservation of linear momentum here: https://brainly.com/question/7538238
A star's brightness as if it were a standard distance from Earth (10 parsecs) is known as what? radiation apparent brightness lighting absolute brightness
Answers
Answer:
In contrast, the intrinsic brightness of an astronomical object, does not depend on the distance of the observer or any extinction. The absolute magnitude M, of a star or astronomical object is defined as the apparent magnitude it would have as seen from a distance of 10 parsecs (33 ly).
Explanation:
Using the data table to the right, determine the
identity of a cube of metal that measures 1.2 cm on each
side and has a mass of 18.15 grams.
A. Gold C. Nickel
B. Silver D. Zinc
Answers
I have like 3 min !!!
Answers
Answer:
to talk??? i will talk with you
Density of water is 1000kg/m3. Find out the amount of mass of 5m3 water
Answers
Answer:
5000 m³
Explanation:
density = mass / volume
mass = density × volume
mass = 1000 × 5
mass = 5000 ( kg )
