A car initially traveling eastward turns north by traveling in a circular path at a uniform speed as shown in the figure below. The length of the arc ABC is 222 m, and the car completes the turn in 34.0 s.
An x y coordinate axis is shown. Point A is located at a negative value on the y-axis, and an arrow points from the point A to the right. A dotted line curves up and to the right in a quarter circle until it reaches point C on the positive x-axis. An arrow points directly upward from point C. Point B is on the dotted circle. A line drawn from the origin to point B makes an angle of 35.0° below the x-axis.
(a) Determine the car's speed.
m/s
(b) What is the magnitude and direction of the acceleration when the car is at point B?
magnitude m/s2
direction ° counterclockwise from the +x-axis
Answers
A car initially traveling eastward turns north in a circular path, covering an arc length of 222 m in 34.0 s. A line drawn from the origin to point B makes an angle of 35.0° below the x-axis. The speed of the car is 6.53 m/s and acceleration at B is \(0.336 m/s^2\).
(a) To determine the car's speed, we can use the formula v = s/t, where v represents the velocity (speed), s represents the distance traveled, and t represents the time taken. In this case, the distance traveled is the length of the arc ABC, which is given as 222 m, and the time taken is given as 34.0 s. Substituting these values into the formula, we have:
v = \(\frac{ 222 }{34}\) = \(6.53 m/s\)
Therefore, the car's speed is \(6.53 m/s.\)
(b) To find the magnitude of the acceleration at point B, we can use the formula a = \(v^2 / r\), where a represents acceleration, v represents velocity, and r represents the radius of the circular path. From the given figure, we can see that the radius of the circular path is the distance from the origin to point B.
Using trigonometry, we can find the radius as follows:
r = BC = AB * \(sin(35°) = 222 m * sin(35°)\) ≈ \(126.83 m\)
Substituting the values into the formula, we have:
a = \((6.53 m/s)^2\) / \(126.83 m\) ≈ \(0.336 m/s^2\)
Therefore, the magnitude of the acceleration at point B is approximately \(0.336 m/s^2\).
(c) To determine the direction of the acceleration, we need to consider the circular motion. At point B, the acceleration is directed towards the center of the circle. Since the car is turning from east to north, the direction of the acceleration would be counterclockwise. The angle between the acceleration and the +x-axis can be determined as follows:
Angle = \(90° - 35° = 55°\)
Therefore, the direction of the acceleration at point B is approximately 55° counterclockwise from the +x-axis.
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Related Questions
PLEASE HELP ME QUICK
A 10.0 kg dog moving at 6.0 m/s to the right collides with a 5.0 kg cat
moving at 3 m/s to the left. If the cat moves to the right at 12.0 m/s after
the collision, what is the speed of the dog?
O 1.5 m/s to the left
O 1.5 m/s to the right
O 3.0 m/s to the left
0 3.0 m/s to the right
Answers
Answer:
i think its 1.5 m/s to the right?
Explanation:
Mercury’s natural state is where the atoms are close to each other but are still free to pass by each other. In which state(s) could mercury naturally exist?
Answers
Answer:
Mercury's natural state is where the atoms are close to each other but are still free to pass by each other. In which state(s) could mercury naturally exist?
Liquid is the answer
Explanation:
a woman of m = 65 kg stands on the ice. the contact area between her skate and the ice is a = 0.0024 m2.Express the force that the person exerts on the ice, F, in terms of m and g. You do not need to include the force of the column of air above her. Calculate the numerical value of F in N. Express the pressure on the ice from the person P in terms of F and A. Calculate the numerical value of P in Pa
Answers
Answer: The force the person exerts on the ice is 637.65 N, and the pressure on the ice from the person is 265687.5 Pa. Brainliest?
Explanation:
The force that the person exerts on the ice, F, can be found using the formula:
F = m * g
where m is the mass of the person and g is the acceleration due to gravity, which is approximately 9.81 m/s^2.
Therefore, F = 65 kg * 9.81 m/s^2 = 637.65 N.
The pressure on the ice from the person, P, can be found using the formula:
P = F / A
where A is the contact area between the skate and the ice, which is given as 0.0024 m^2.
Therefore, P = 637.65 N / 0.0024 m^2 = 265687.5 Pa.
Therefore, the force the person exerts on the ice is 637.65 N, and the pressure on the ice from the person is 265687.5 Pa.
Which statement correctly describes magnetic field lines?
Answers
Answer: I believe the correct answer would be they join north pole to south pole. The direction of these lines always goes from the direction of north to south pole. These lines forms loops in order to favor the way which requires or has less resistance. Hope this helps.
write 9.423 x 10^-9 in expanded form
Answers
Answer:
Very large and very small numbers written in standard form take up a large amount of space. They are hard to read and understand and are difficult to use in mathematics. One way to write a very large or very small number is to use a different form of notation. Converting to a workable number is done using scientific or engineering notation.
Explanation:
The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity. If a wind of 60mph exerts a force of 20lb on a surface of 1/5 ft², how much force will a wind of 180mph place on a surface of 4ft²?
A wind of 180mph will place a force of ____ Ib on a surface of 4ft². (Type an integer or a simplified fraction.)
Answers
A wind of 180mph will place a force of 32400 Ib on a surface of 4ft².
The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity.
If a wind of 60mph exerts a force of 20lb on a surface of 1/5 ft², how much force will a wind of 180mph place on a surface of 4ft²
A force of 1250lb is exerted
since the force of the wind varies jointly as the area of the surface and the square of the velocity,
let f = force
a = area
velocity =v
from the above statement, we find out that
f ∝ a * v²----1
that is f = k * a * v² -----2
where k is a coefficient of proportionality
since velocity of wind in mph, v =60
and force in lb = 20
and surface area = 1/5 ft²
from equation 2
20 = 1/5 * k * 60²
20 * 5 /3600 = k
25/9 = k
A wind of 180mph will place a force of on a surface of 4ft².
f = 25/ 9 *4 * 180²
f = 32400
Therefore, a wind of 180mph will place a force of 32400 Ib on a surface of 4ft².
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How much work is done by an engine to accelerate an
800 kg vehicle from 10 m/s to 20 m/s?
Answers
We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.
What work is involved in accelerating an 800 kg automobile from 5 meters per second to 10 meters per second?This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.
What is the recipe for getting stuff done?The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.
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What is the ratio of carbon to hydrogen to oxygen in monosaccharides.
Answers
Monosaccharides are simple sugars that are made up of carbon, hydrogen, and oxygen atoms. The ratio of these three elements in monosaccharides is 1:2:1, which means that for every carbon atom, there are two hydrogen atoms and one oxygen atom.
This ratio is essential for the formation of the ring-shaped structure of monosaccharides and is the same for all monosaccharides, regardless of their chemical composition. The ratio of carbon to hydrogen to oxygen in monosaccharides plays a significant role in their properties and functions, as it determines their solubility, sweetness, and ability to store energy.
Overall, the 1:2:1 ratio is a defining characteristic of monosaccharides and is essential to their biological functions.
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If a flexible air-filled container at 100 feet of sea water has a volume of 10 cu ft, what would be the volume if it were transported to the surface?
Answers
If a flexible air-filled container at 100 feet of sea water has a volume of 10 cu ft, if it were transported to the surface it would be 10cu.
What is volume explain?Volume is a three-dimensional measurement that is used to determine the capacity of a solid shape. It means that the amount of space a closed form can occupy in three dimensions depends on its volume.
What is volume and example?For instance, a cup's capacity is stated to be 10 ml if it can hold 10 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.
Is mass weight or volume?A three-dimensional object's volume is the area it takes up, and it is expressed in cubic units. Cm3 and in3 are two examples of cubic units. The amount of matter in an item can be determined by its mass, on the other hand. The weight of an object is a common way to determine mass.
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Three forces act simultaneously on poin J. One force is 10.0 N north; the second is 15.0 N west; the third is 15.0 N 30.0° east of north. Determine the magnitude and direction of the resultant force.
Answers
The magnitude and direction of the resultant force are 10.0N and 101.36⁰
The sum of force along the force horizontal is expressed as:
\(\sum F_x=-15.0N+15cos30\\\sum F_x = -15.0N + 12.99N\\\sum F_x = -2.01N\)
The sum of force along the vertical is expressed as:
\(\sum F_y = +10N\)
Calculate the magnitude of the force:
\(F=\sqrt{(\sum F_x)^2+(\sum F_y)^2} \\F=\sqrt{(-2.01)^2+(10)^2} \\F=\sqrt{104.0401}\\F= 10.2N\)
Hence the magnitude of the resultant force is 10.2N
Find the direction
\(\theta = tan^{-1}\frac{y}{x}\\ \theta = tan^{-1}\frac{10}{-2.01}\\\theta =tan^{-1}(-4.9751)\\\theta =-78.63^0\\\theta = 180-78.63 = 101.36^0\)
Hence the magnitude and direction of the resultant force are 10.0N and 101.36⁰
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The ocean's level is currently rising at about
3 mm per year.
At this rate, in how many years will sea
level be 5 m higher than now?
Answer in units of y.
Answers
Answer:
The sea level will be 5m higher in 1667 y (years)
Explanation:
From the question, the rate at which the ocean's level is currently rising is about 3mm per year.
First, we will convert mm (millimeter) to m (meter)
1 mm = 0.001 m
Then,
3 mm = 3 × 0.001 m
= 0.003m
That is, the rate at which the ocean's level is currently rising is about 0.003m per year.
Now, to determine how long it will take for the ocean's level be 5 m higher than now at the given rate,
If the ocean rises 0.003 m in 1 year, then
the ocean will rise 5 m in x years
x = (5 m × 1 year) / 0.003 m
x = 5 / 0.003
x = 1666.67 years
x ≅ 1667 years
Hence, the sea level will be 5m higher in 1667 y (years)
Which of the following is NOT used to classify soils? Depth, Texture, Color,
Structure
Answers
Answer: Depth does not classify soils. Soil color and other properties including texture, structure, and consistence are used to distinguish and identify soil layers.
Happy to help! (0.<)
Explanation:
The depth parameter is does not used to classify the soil in different region. Texture, color and structure are used to characterize the soil type.
What is soil classification?The method of classifying soil involves dividing it into groups where the behaviors of the soils within each group are the same under a certain set of physical conditions.
Engineers can use soil classification to comprehend and evaluate a particular soil's performance and determine whether the soil is suitable for particular engineering applications.
The classification of soli include based on grain size textural classification, AASHTO classification system, Unified soil classification system. AASHTO classification system is developed by Bureau of Public Roads for the classification of soil for the highway subgrade use.
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17. What is the speed of a race horse that runs
1500 m in 125 s?
Answers
Answer:
12 miles per second
Explanation:
Answer:
\(\boxed {\boxed {\sf 12 \ m/s}}\)
Explanation:
Speed is equal to distance divided by time.
\(s=\frac{d}{t}\)
The horse ran 1500 meters in 125 seconds.
\(d= 1500 \ m \\s= 125 \ s\)
Substitue the values into the formula.
\(s= \frac{ 1500 \ m }{125 \ s}\)
Divide.
\(s= 12 \ m/s\)
The speed of the race horse is 12 meters per second.
.Two wooden blocks A and B have respective masses of 3.0 kg and 4.0 kg and are connected with an
inextensible cord. If the blocks are placed on a horizontal frictionless surface and a force of 8.0 N is
applied to A, find the tension in the connecting cord.
Answers
The tension in the connecting cord is 4.72 N.
What is tension?Tension is defined in physics as the pulling force transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension can also be defined as the action-reaction pair of forces acting at each end of said elements.
Given that:
Mass of block A (mₐ) = 3.0Kg
Mass of block B (mb) = 4.0 kg
Force (F)= 8.0N
Assume a = acceleration of the blocks.
mₐ(a) + mb(a) = 8
3a + 4a = 8
7a = 8
a = 8/7
a = 1.142 m/s²
Suppose T to be the tension in the string.
If we take a look at the forces acting on the first block, then:
F - T = (a)
T = F - (a)
T = 8- 3(1.142)
T = 8-3.428
T =4.72 N
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Read the case study. In your own words and in complete sentences answer the questions. Case Study 1 While preparing dinner Jane knocked a pan of boiling water onto herself. She suffered partial thickness burns to the anterior region of her legs. 1. What is partial thickness burns? 2. Jane loose sensation of the affected area? Why? 3. Using the Rule of Nines calculate the total body surface area percentage that is burned?
Answers
Partial thickness burns are burns that involve the top layer of skin and the layer below it.
Jane lost sensation in the affected area because the nerve endings may be affected in partial-thickness burns.
As per the Rule of Nines, each leg makes up 18% of the body surface, so the anterior region of both legs would account for 18% of 50% (half of the body surface) which equals to 9% of the body surface.
Using the Rule of Nines, the total body surface area percentage that is burned is calculated. It is a quick and easy way to calculate the area of the burn that is used to determine the degree of burn.
The rule of nines is a medical term used to evaluate the extent of burns on a patient's body. This rule estimates the amount of body surface area (BSA) that has been affected by burns. This technique is often used by healthcare professionals to predict a patient's fluid needs and to help guide treatment decisions. The Rule of Nines divides the body into 11 sections, each accounting for 9% of the body surface. The remaining 1% is accounted for by the perineum. The areas are head and neck, arms, chest, abdomen, upper back, lower back, buttocks, front of legs, and back of legs. In this case, Jane had suffered partial thickness burns to the anterior region of her legs.
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How long will your trip take if you travel 4000 m at an average speed of 8m/s
Answers
Answer:8.3mins
Explanation:
S=Vt
where V=average speed
S=4000m V=8m/s
4000=8×t
t=4000/8
t=500s
t=500/60
t=8.3min
500 sec
8 min 20 sec
Explanation:Hi there !
8 m ................ 1 s
4000 m ........ x s
x = 4000m×1s/8m = 500 sec = 8 min 20 sec
Good luck !
Friction between two surfaces transforms energy of motion directly to:
Answers
Explanation:
What do we call a word that tells about an action ?
A student is moving a magnet through a coil of wire. Which of these indicates the strength of the electric current in the coil? (1 point) O changes in the magnetic field of the magnet O the direction in which the magnet is entering the coil O how sensitive the device reading the electric current is O how fast the magnet and the coil spin together
Answers
When a student moves a magnet through a coil of wire, the strength of the electric current in the coil is indicated by changes in the magnetic field of the magnet.
The phenomenon of electromagnetic induction is the mechanism responsible for the phenomenon that changes in the magnetic field of the magnet results in the indication of the strength of the electric current in the coil. An electric current is generated by electromagnetic induction in a closed circuit whenever there is a change in the magnetic field that passes through the circuit.The induced current that is generated as a result of the changes in the magnetic field is responsible for the indication of the strength of the electric current in the coil. This induced current is the strength of the electric current in the coil.
The strength of the electric current in the coil of wire indicates the changes in the magnetic field of the magnet because, whenever the magnet is moved through the coil of wire, the magnetic field that is produced by the magnet passes through the wire of the coil of wire. This movement or change in the magnetic field produced by the magnet is what causes the electric current to be generated by electromagnetic induction in the coil of wire.
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When a charged particle moves parallel to the direction of a magnetic field, the particle travels in a (a) straight line. (b) circular path. (c) helical path. (d) hysteresis loop
Answers
The particle will keep moving straight forward in the same path. Consider the magnetic field as a force field that surrounds the object and acts on other magnetic objects that are under its influence.
When a charged particle moves parallel to the direction of a magnetic field, the particle travels in a (a) straight line. The magnetic field will not cause the particle to deviate from its original path, as there is no perpendicular force acting on the particle to cause it to change direction. A magnetic field is a type of physical field that is created by moving electric charges or by a magnetic object, such as a magnet. The magnetic field can be thought of as a force field that surrounds the object and exerts a force on other magnetic objects within its influence. Magnetic fields are typically measured in units of tesla (T) or gauss (G), and they can be either static or dynamic. They also play a crucial role in the behavior of the Earth's magnetic field and the interaction between the Sun and the Earth's magnetic field, which produces phenomena such as the auroras.
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A car traveling due north at 60 km/hr increased its velocity to 80 m/s due south in 20 seconds. Draw i) speed against time graph, ii) acceleration against time graph.
Answers
The slope of the graph is acceleration of the car with a value of 3.2 m/s².
The given parameters;
initial velocity of the car, u = 60 km/hrfinal velocity of the car, v = 80 m/stime of motion of the car, t = 20 sThe initial velocity of the car in m/s is calculated as follows;
\(60 \ \frac{km}{hr} \times \frac{1 \ hr}{3600 \ s} \times \frac{1000 \ m}{1 \ km} = 16.67 \ m/s\)
The acceleration of the car is calculated as follows;
\(a = \frac{v- u}{t} \\\\a = \frac{80 - 16.67 }{20} \\\\a = 3.2 \ m/s^2\)
The graph of the velocity against time and acceleration against time is in the image uploaded.
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Select the reagents needed for PCR. Choose all that apply.
a. dNTPs
b. primers
c. template DNA
d. DNA ligase
e. DNA polymerase
Answers
The reagents needed for PCR include a) dNTPs (deoxynucleotide triphosphates), b) primers, c)template DNA, and e) DNA polymerase.
B. Explanation: PCR (Polymerase Chain Reaction) is a molecular biology technique used to amplify specific DNA sequences. The reagents required for PCR include:
dNTPs: These are the building blocks of DNA synthesis. They are deoxynucleotide triphosphates (dATP, dCTP, dGTP, and dTTP) that provide the necessary nucleotides for DNA replication.
Primers: These are short DNA sequences (typically 18-25 nucleotides long) that bind to specific regions on the DNA template. Primers are essential for initiating DNA replication by DNA polymerase.
Template DNA: This is the DNA molecule that contains the target sequence to be amplified. The template DNA serves as a template for DNA polymerase to synthesize new DNA strands.
DNA polymerase: A heat-stable DNA polymerase enzyme, such as Taq polymerase, is used for PCR. DNA polymerase synthesizes new DNA strands by adding complementary nucleotides to the primers on the template DNA.
So except d all option are correct.
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A wave has a frequency of 12 Hz and a wavelength of 5 m. What is the wave speed?
Answers
Answer:
The speed of the wave is 15ms .
Explanation:
Choose the word that BEST completes the following sentence:
_________________________ cannot be created or destroyed.
All
Mass
Matter
Galaxies
Stars
Answers
Hi there!
Answer:
Matter
Explanation:
To find the correct answer, you have to try all of the answers. Like below:
All cannot be created or destroyed.
This doesn't make sense.
Mass cannot be created or destroyed.
This may sound correct, but when you look at the big picture, this is wrong.
Matter cannot be created or destroyed.
This is correct because it is a saying created long ago and proven with experiments.
Galaxies cannot be created or destroyed.
This is wrong because new galaxies are being created everyday!
Stars cannot be created or destroyed.
This is wrong because like galaxies, new stars are being created everyday!
a planar surface of an area 0.03 m2 sits in a region of a uniform electric field of 704.5 n/c with the normal is oriented as shown. what is the electric flux through this surface?
Answers
The electric flux through the given planar surface is 10.56675 Nm²/C.
Given data:
Planar surface area, A = 0.03 m²
Electric field strength, E = 704.5 N/C
Normal to surface, n = 60 degrees (the normal is oriented as shown)
The electric flux through the planar surface can be calculated using the formula,φ = E . A . cosθ
Where, E is the electric field strength
A is the area of the surface
θ is the angle between the normal to the surface
and the electric field vector Plugging in the given values,
φ = (704.5 N/C) x (0.03 m²) x cos 60°
= (704.5 N/C) x (0.03 m²) x 0.5
= 10.56675 Nm²/C
The electric flux through the given planar surface is 10.56675 Nm²/C.
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you are swinging a yo-yo around in a circle above your head. assume this is a perfect system: the mass of the string is negligible, the yo-yo is a point mass and your arm is a perfectly vertical axis of rotation.given the mass of the yo-yo is m and the length of the string (radius of the circle traced by the yo-yo) is l, you find the moment of inertia to be i. if you double the length of the string, what is the new moment of inertia?
Answers
if you double the length of the string, the new moment of inertia is 4 times the initial moment of inertia.
When a yo-yo is swung around in a circle above the head, and it is assumed that it is a perfect system with negligible mass of the string, the yo-yo is a point mass, and the arm is a perfectly vertical axis of rotation, the moment of inertia can be given as `I = ml²`,
where, I is The moment of inertia for a point mass m placed a distance l from the axis of rotation. This formula is based on the assumption that the point mass rotates along an axis perpendicular to the plane of motion.
If the length of the string (radius of the circle traced by the yo-yo) is doubled, the new moment of inertia can be calculated as follows:
I' = m(2l)²
I' = m4l²
Therefore, the new moment of inertia is `4ml²`.
Thus, the new moment of inertia is 4 times the initial moment of inertia.
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What is the momentum of a 110kg fullback running at 860 m/s?*
Answers
Answer:
94600kgm/s
Explanation:
Linear momentum of a body can be calculated using the formula;
P = mv
Where;
P = linear momentum (Kgm/s)
m = mass of body (kg)
v = speed of the moving body (m/s)
According to the provided information in the question, m = 110kg, v = 860m/s
P = 110 × 860
P = 94600kgm/s
A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg•m2. if the arms are pulled in so the moment of inertia decreases to 1.80 kg•m2, what is the final angular speed?
A) 2.25 rad/s
B) 6.25 rad /s
C) 0.81 rad/s
D) 4.60 rad/s
Answers
Answer: B) 6.25 rad/s
Wheel and Axle
Give reasons for the following.
a. Handles of metal cutters are made long.
b. String roller is an example of wheel and axle.
c. Winding roads are made on slopes.
d. A shovel is the third class lever.
e. Wedge is called a simple machine.
37
Answers
Answer:Handles of metal cutters are made long.
Explanation:
What first caused people to consider that the continents were once one large landmass?
A: glacier evidence in warmer countries
B: continents looked like they fit together
C: studying the valleys of the ocean floor
D: similar fossils were found on many continents
Answers
The answer is B: continents looked like they fit together.
(Edge 2020!)
~ V.
The first caused people to consider that the continents were once one large landmass was that continents looked like they fit together.
What was the first evidence that led people to think of the continents?Wegener's first piece of proof became that the coastlines of some continents are healthy collectively like pieces of a jigsaw puzzle. people observed the similarities between the coastlines of South US and Africa on the primary world maps, and a few suggested the continents were ripped aside.
What prompted the continents to move in the first place?Impacted with the aid of changing temperatures in the layers of the planet, tectonic plates move over and under each other, causing shifts within the locations of the continents over time. The movement of tectonic plates additionally causes adjustments in the ocean floor, and volcanoes regularly form in which one tectonic plate meets every other.
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Which best explains how gravity contributes to the formation of layers in protoplanets?.
Answers
The following statement best describes how gravity helps protoplanets create layers in that gravity pulls materials and generates compaction, which produces heat and causes materials to melt, sink, and rise. Option A is correct.
What is gravity?Gravitation is a natural law by which all things with all matter are attracted towards one another. gravity causes weight to all matter and the gravity of the moon causes the ocean tides.
The force that draws massed bodies toward one another is known as gravity. Gravitatithus
According to the alternatives, gravity pulls things together and causes compaction, which generates heat and causes things to melt,
Thus, we may draw the conclusion that gravity draws materials and creates compaction, which generates heat and causes materials to melt, sink, and rise.
Hence option A is correct,
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Answer:
its A
Explanation: