A ring hangs at one end of a string that is attached to a ceiling of a car. When the car travels straight ahead at a speed of 16 m/s, the ring hangs vertically down. But when the car rounds a flat curve of radius 120 m at the same speed, the ring swings toward the outside of the
curve.
a) Find the centripetal acceleration of the ring.
b) Find the angle that the string makes with the vertical.
Answers
The ring's centripetal acceleration is 2.133 m/s². The angle formed by the string with respect to the vertical is roughly 12.45 degrees.
A flea is capable of 200 jumps?Some flea species are capable of jumping 200 times their own length. This small, wingless insect makes a powerful leap that is far too explosive to be propelled by just muscles. Instead, fleas use the two blocks of resilin, a springy, spring-like protein found in the thorax, to store energy.
a = v² / r
where r is the radius of the curve and v is the car's speed.
a = (16 m/s)² / 120 m
a = 2.133 m/s²
tan(theta) = a / g
where a is the centripetal acceleration we just calculated, and g is the acceleration due to gravity (approximately 9.8 m/s²). Plugging in the values, we get:
tan(theta) = 2.133 m/s² / 9.8 m/s²
theta = tan⁻¹(0.2178)
theta = 12.45 degrees
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Related Questions
Generally, only _________ and ends are eligible to catch or receive passes from the quarterback in football.
A. Half Back
B. Running Backs
C. Center
D. Guards
Answers
Generally, only half back and ends are eligible to catch or receive passes from the quarterback in football.
Half backA halfback (HB) is an offensive position in American football. His duties involve lining up in the backfield and carrying the ball on most rushing plays
Half back can catch the ball from the backfield on short passing plays as they are an receiver.
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Given our knowledge of the sport, the position amongst those listed that are eligible to catch or receive passes is the Running back position.
Who can receive passes from the quarterback?In football, the quarterback is allowed to pass to almost anyone on the team. The only restriction is that he may not pass to those in offensive positions, meaning the ones in charge of tackles. The Center, Guard, and Halfback positions listed are all included as offensive positionsThe only eligible position to receive a pass is the Running back.Therefore, there is a wide range of positions that are eligible to receive passes from the quarterback, including all those that are not offensive positions. Of those listed, the only non-offensive position is the Running back.
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Two engines do same work in different time intervals.Which will have more power?
Answers
Answer:
who done work in less time will have more power
Explanation:
A water tank is filled with up to 3.5 m height.Calculate the pressure given by the tank at its bottom
Answers
Answer:
96.04Pa
Explanation:
height=3.5m
gravity=9.8%
density=9.8/3.5
=2.8
Preassure=h×g×d
=3.5×9.8×2.8
=96.04Pa
when loading a trailer, more than half the weight should be placed in the back half of the trailer.
T/F
Answers
When loading a trailer, more than half the weight should be placed in the back half of the trailer. The given statement is false.
When loading a trailer, more than half of the weight should actually be placed in the front half of the trailer, not the back half. This helps to maintain stability and control while towing the trailer.
Ideally, 60% of the weight should be placed towards the front half, with the remaining 40% distributed towards the back half.
In order to ensure proper weight distribution and trailer stability, it is essential to place more than half of the load weight in the front half of the trailer, rather than the back half.
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the question is confusing
Answers
Alpha particles have highest mass.
Alpha particles are most ionising.
Gamma particles are the most penetrating.
Beta particles are negatively charged.
Gamma particles have the highest speed.
Comparing the three types of ionizing radiation-alpha particles have the greatest mass. Alpha particles have approx 4 times the mass of a proton or neutron and 8,000 times the mass of a beta particle. Ionising power of alpha particle is very high due to double positive charge, large mass as compared to a beta particle. Alpha particles can cause multiple ionisations within a very small distance. Beta radiation is more penetrating than alpha radiation. beta radiation can pass through the skin, but it is absorbed by a few cm of tissue of the body or a few mm of aluminum. Gamma radiation is the most penetrating of the three radiations. Alpha particles are positively charged, while beta particles are negatively charged, and gamma radiation is electrically neutral. Gamma rays are similar to visible light but they have higher energy. Gamma rays are emitted along with alpha or beta particles during radioactive decay.learn more about gamma rays here:
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how does the motion of the piston differ from the wheel?how does the motion of the piston differ from the wheel?the piston undergoes curvilinear translation and the wheel undergoes general plane motion.the piston undergoes rectilinear translation and the wheel undergoes curvilinear translation.the piston undergoes general plane motion and the wheel undergoes rotation and curvilinear translation.the piston undergoes rectilinear translation and the wheel undergoes rotation about a fixed axis.
Answers
Since the piston is forced to slide in a straight path, it experiences rectilinear translation. Given that it will remain horizontal while traveling in a circular motion, the connecting rod goes through curvilinear translation.
What type of motion does the piston make?The piston reciprocates up and down in a straight line as the crank turns. Rotational motion into linear motion is converted via a crank and piston arrangement. According to the guide's orientation, the linear motion can be either vertical or horizontal (or in another direction).
How are rectilinear and curvilinear defined?Rectilinear motion is a motion in a straight line. In this motion, each particle travels the same distance in a straight line in a parallel fashion. Curvilinear Motion: The motion of a curved line.
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snell's law depends on the refractive indexes of the materials as well as on the _____ of the angles of the light rays.
Answers
Snell's law depends not only on the refractive indexes of the materials but also on the "angle of incidence" and "angle of refraction" of the light rays.
Snell's law describes the relationship between the angles of incidence and refraction when light passes through the interface between two different materials. It states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indexes of the two materials.
Mathematically, Snell's law is expressed as:
n₁ * sin(θ₁) = n₂ * sin(θ₂),
where n₁ and n₂ are the refractive indexes of the first and second materials, respectively, and θ₁ and θ₂ are the angles of incidence and refraction, respectively.
Therefore, the accurate determination of the angles of incidence and refraction is crucial for applying Snell's law to analyze the behavior of light as it passes through different media.
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which of the following are research findings on the impact of family processes on divorced families? (select all that apply.)
Answers
The question asks for research findings on the impact of family processes on divorced families.
Numerous research studies have been conducted to understand the impact of family processes on divorced families. Some of the research findings in this area include:
1. Increased conflict: Research indicates that divorced families often experience higher levels of conflict compared to intact families. The process of divorce itself, along with ongoing co-parenting challenges, can contribute to elevated conflict between parents. This conflict can have negative effects on children's well-being and adjustment.
2. Co-parenting quality: Research has shown that the quality of co-parenting relationships post-divorce significantly impacts children's outcomes. Positive co-parenting, characterized by effective communication, cooperation, and shared decision-making, is associated with better psychological and behavioral adjustment in children. In contrast, high levels of conflict and poor co-parenting quality can increase children's risk of experiencing negative outcomes.
3. Parent-child relationships: Research findings indicate that the quality of parent-child relationships can be affected by the divorce process. Divorce can disrupt parent-child dynamics, leading to changes in parenting styles, decreased involvement, or strained relationships. However, research also highlights that post-divorce interventions and support can help improve parent-child relationships and mitigate the negative effects of divorce on children.
In summary, research on the impact of family processes on divorced families suggests increased conflict, the importance of co-parenting quality, and the potential effects on parent-child relationships. These findings highlight the significance of fostering positive family processes and providing support to divorced families to promote better outcomes for children.
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Which statement is true about the amount of refraction of light waves as they pass through a material, or medium?
Depends on the angle at which the wave strikes the medium
Increases with an increase in density of medium
Decreases with an increase in density of medium
Depends on the temperature of the light wave
Answers
Answer:
the correct answer is d
Answer:
B
Explanation:
The answer cant be D since the temperature doesn't matter.
It cant be C since the more dense an object is the more light has to bend
It can be B
Cant be A since it doesn't matter where it strikes from
I got it right on the test!
Một vật có khối lượng 2 kg rơi tự do xuống đất trong khoảng thời gian 0,5 s. Độ biến thiên động lượng của vật trong khoảng thời gian đó là bao nhiêu ? Cho g = 10 m/s2.
Answers
Answer: The change in momentum is +20 kg.m/s
Explanation:
To calculate the final velocity of object, we use the first equation of motion:
\(v=u+at\)
where,
v = final velocity
u = initial velocity = 0 m/s
a = acceleration = \(10m/s^2\)
t = time = 0.5 s
Putting values in above equation, we get:
\(v=0+(10\times 0.5)\\\\v=5m/s\)
Momentum is defined as the product of the mass and velocity of an object. It is given by the equation:
\(p=mv\)
where,
p = momentum
m = mass of object = 2 kg
Let the upward velocity be positive and the downward velocity be negative
When the object is dropped, the velocity is downward
v = -5m/s
Initial momentum = \(2kg\times (-5m/s)=-10kg.m/s\)
When the object is bounced back, the velocity is upward
v = +5m/s
Final momentum = \(2kg\times (+5m/s)=10kg.m/s\)
Change in momentum = Final - Inital
Change in momentum = [10 - (-10)] = +20 kg.m/s
Hence, the change in momentum is +20 kg.m/s
The diagram shows the water levels inside the containers.
A)91 cm
B) 34 cm ( the water levels)
•) The density of water is 1000 kg/m²
ii) Calculate the pressure that the water causes at the base of container A.
Answers
Answer:
8927.1 Pa
Explanation:
pressure = height x density of liquid x g
= (91/100) x 1000 x 9.81
= 8927.1 Pa
a.If the hockey player exerted twice as much force (9.00 N) on the puck over the
same distance, how would the amount of work the stick did on the puck be
affected
Answers
Answer:
The work done is doubled.
Explanation:
The work done is defined as the product of the force and the displacement in the direction of force.
Work = force x displacement.
As the force is doubled and the displacement remains same, so the work done is also doubled.
Work done is a scalar quantity and its SI unit is Joule.
Determine the force that the jaws j of the metal cutters exert on the smooth cable c if 100-n forces are applied to the handles. The jaws are pinned at e and a, and d and b. There is also a pin at f.
Answers
To determine the force that the jaws j of the metal cutters exert on the smooth cable c, we need to consider the equilibrium of forces. Given that 100 N forces are applied to the handles, we can assume that these forces are balanced.
The jaws j are pinned at e and a, and d and b. There is also a pin at f. Since the cable is smooth, there is no friction force acting on it. Therefore, the force exerted by the jaws on the cable would be equal to and opposite to the sum of the 100 N forces applied to the handles.
In other words, the force exerted by the jaws j on the smooth cable c would also be 100 N.
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HELP PLEASE
Find the net force necessary for a 15 kg object to accelerate at 20 m/s/s.
Answers
Answer:
The answer is 300 NExplanation:
The force acting on an object given the mass and acceleration we use the formula
force = mass × accelerationWe have
force = 15 × 20
We have the final answer as
300 NHope this helps you
A missile has a guidance device which is sensitive to both temperature, t C, and humidity, h. The range in km over which the missile can be controlled is given by Range R = 27800-5t2-6ht-3h2 + 400t + 300h. What are the optimal atmospheric conditions for controlling the missile? (You must show the proper calculus 3 work to show optimality.) (5pts)
Answers
A missile has a guidance device which is sensitive to both temperature, t C, and humidity, h. The range in km over which the missile can be controlled is given by Range R = 27800-5t2-6ht-3h2 + 400t + 300h. the optimal temperature is 43.75°C and optimal humidity is 6.25
Range R = 27800 - 5t² - 6ht - 3h² + 400t + 300h
Where, R is the range over which the missile can be controlled. t and h are the temperature and humidity respectively.
The optimal atmospheric conditions for controlling the missile.
We need to find the optimal value of t and h that will maximize the range of missile, i.e., the optimal value of R.
To find optimal values, we need to find the partial derivative of R w.r.t both t and h and equate them to zero.
Partial derivative of R w.r.t t: ∂R/∂t= -10t -6h + 400
Partial derivative of R w.r.t h: ∂R/∂h= -6t - 6h + 300
Now, equate both to zero to get the optimal values of t and h:
∂R/∂t= 0 => -10t - 6h + 400 = 0=> 10t + 6h = 400 -----(1)
∂R/∂h= 0 => -6t - 6h + 300 = 0=> t + h = 50 ----- (2)
Multiplying equation (2) by 6 and adding it to equation (1), we get:
10t + 6h = 400...........(1)
6t + 6h = 300...........(2)
-----------------------16t = 700=> t = 43.75
Using equation (2), h = 50 - t= 50 - 43.75= 6.25
Thus, the optimal temperature is 43.75°C and optimal humidity is 6.25, i.e., the optimal atmospheric conditions for controlling the missile is 43.75°C temperature and 6.25% humidity.
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Daylon's family just bought a new puppy, and Daylon decided to take him for a walk. He put the puppy in a wagon and pulled the wagon along the sidewalk. From which of these reference points does the puppy appear to be moving? 1. Daylon 2. The wagon 3. The sidewalk 4. The puppy's collar
Answers
The puppy was not moving relative to Daylon, the wagon, or his collar.
He was moving relative to a point on the sidewalk.
Note that the puppy did NOT get his walk.
A thin, 83.0 cm wire has a mass of 16.5 g. One end is tied to a nail, and the other end is attached to a screw that can be adjusted to vary the tension in the wire. To what tension (in newtons) must you adjust the screw so that a transverse wave of wavelength 3.33 cm makes 625 vibrations per second?
Answers
The tension to which the screw must be adjusted so that a transverse wave of wavelength 3.33 cm makes 625 vibrations per second is 5.48 N.
The speed of a transverse wave on a string is:
v = sqrt(T/μ)
where v is the speed of the wave, T is the tension in the string, and μ is the linear density of the string.
The frequency of a wave is related to its wavelength and speed by:
f = v/λ
where f is the frequency of the wave and λ is the wavelength.
Combining these equations:
f = sqrt(T/μ) / λ
Solving for T:
T = μf^2λ^2
The linear density of the wire is:
μ = m/L
where m is the mass of the wire and L is its length. Substituting the given values:
μ = 16.5 g / 0.83 m = 19.88 g/m = 0.01988 kg/m
The frequency of the wave is given 625 vibrations per second, which is equivalent to 625 Hz. The wavelength of the wave is given 3.33 cm, which is equivalent to 0.0333 m.
Substituting these values in the equation for tension:
T = \((0.01988 kg/m) * (625 Hz)^2 * (0.0333 m)^2\) = 5.48 N
Therefore, the tension in the wire must be adjusted to 5.48 N so that a transverse wave of wavelength 3.33 cm makes 625 vibrations per second.
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different parallel, straight paths. Each car's velocity as a function of time is shown in the graph. Which of the following claims is correct
about car X and car Y?
Both car X and car Y travel in the same direction.
Between t 6s and t7s, car X and car Y are at the same horizontal position.
The change in car X's speed per unit of time increases as the time increases, and the change in car Y's speed per unit of time decreases as the time increases.
The magnitude of the acceleration of car X is the same as the magnitude of the acceleration of car Y.
Answers
Answer:different parallel, straight paths. Each car's velocity as a function of time is shown in the graph. Which of the following claims is correct
about car X and car Y?
Both car X and car Y travel in the same direction.
Explanation:
What two factors determine the density of a fluid?
Answers
Answer:
Mass and volume.
Explanation:
The equation for density is always mass divided by volume. To determine the density of a fluid, you would need to find its volume and its mass.
What is the resultant?
1400 N
643 N
Answers
which activity is a type of flexabliiity exercise
Answers
Answer:
If you want to be flexible, go to yout ube and search Anna Mcnulty. She is the best teacher for flexiblity and she is only 18!
Explanation:
What wave shape occurs if the particles travel parallel to the direction of the wave?
Answers
Answer:
Explanation:
Pooh Shiesty, that's my dawg
But Pooh, you know I'm really shiesty
You told all them O.T. ni ggas that you really slide
Tell the truth about your gang, they really dyin'
I got my own fire, don't need security in the club
All that woofin' on the net , I thought you was a thug
They ain't got nowhere to go, I sh0t up everywhere they was
Yeah, you know who took that - from you
Come get it back in blood
Come get it back in blood
the latent heat of fusion of a substance is the amount of energy associated with doing which of the following to 1 kg of the substance
A. Buring it completely
B. Raising its temperature 1 c
C. Boiling it at its boiling point
D Melting it at its melting point
Answers
Answer:Boiling at its boiling point
Explanation:
Our atmosphere exerts a pressure of 14.7 lb/in2. What is the force on one square foot of the earth’s surface caused by the atmosphere
Answers
Answer:
The force on one square foot of the earth’s surface caused by the atmosphere is 101.4 kN.
Explanation:
To force is given by:
\(F = P*A\) (1)
Where:
P: is the pressure = 14.7 lb/in²
A: is the area = 1 m²
By entering the above values into equation (1) we have:
\(F = P*A = 14.7 \frac{lb}{in^{2}}*\frac{4.45 N}{1 lb}*\frac{1550 in^{2}}{1 m^{2}}*1 m^{2} = 101.4 kN \)
Therefore, the force on one square foot of the earth’s surface caused by the atmosphere is 101.4 kN.
I hope it helps you!
Which of the following best describes applying a force over a period of time?
power
energy
Impulse
Answers
it’s the only one that makes sense energy is just light and power almost the same thing
How should xander describe the reflection? the reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle. the reflection of the candle in the convex mirror formed an upside-down real image that is smaller than the candle. the reflection of the candle in the concave mirror formed an upside-down virtual image that is smaller than the candle. the reflection of the candle in the convex mirror formed an upside-down virtual image that is smaller than the candle.
Answers
The reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.
The characteristics of images formed in a mirrorThe mirror is an optic device that can either be plane or curved that produces an image through the law of reflection.
There are three main types of mirror which includes:
Plain mirrors,concave mirrors andconvex mirrors.The characteristics of the image formed by the concave mirror depends on the distance of the object from the mirror and it include the following:
It can produce both real and virtual images; they can be upright (if virtual) or inverted (if real); they can be behind the mirror (if virtual) or in front of the mirror (if real); they can also be enlarged, reduced, or the same size as object.Therefore, the reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.
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Answer:
A: The reflection of the candle in the concave mirror formed an upside-down real image that is smaller than the candle.
Explanation:
quick and simple
A string exerts a force of 20 N on a box at an angle of 38° from the horizontal. What is the horizontal component of the force on the box?
Answers
Answer:
15.8 N
Explanation:
The component in a given direction is the magnitude of the applied force, multiplied by the cosine of the angle between its application and the direction of interest.
The horizontal component is ...
(20 N)cos(38°) ≈ 15.8 N
A string exerts a force of 20 N on a box at an angle of 38° from the horizontal. What is the horizontal component of the force on the box?
answer;15.8 N
How many sig figs are in 0.32
Answers
From where on Earth could you observe all of the stars during the course of a year?
Answers
It is not possible to observe all of the stars during a year from a single location on Earth. This is because the Earth rotates on its axis and orbits the Sun, causing the positions of the stars to change relative to an observer on the surface.
What fraction of the sky can be seen from the North Pole?From the North Pole, an observer can see approximately half of the sky. This is because the North Pole is located at the axis of rotation of the Earth, and therefore the observer can see half of the sky in all directions.
Can we see stars at the North Pole?Yes, you can see stars at the North Pole, but the availability of stars to be seen depends on the time of year. During the summer months, the North Pole experiences 24 hours of daylight and the Sun never sets, so the stars are not visible.
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A 3.0-kg meatball is moving with a speed of 6.0 m/s directly toward a 2.0 kg meatball which is at rest. The two meatballs collide and stick together. What is their velocity immediately after the (inelastic) collision?
18 m/s
3.6 m/s
6 m/s
5 m/s
Answers
Answer:
Their common velocity after collision is 3.6 m/s
Explanation:
Given;
mass of the first meatball, m₁ = 3.0 kg
initial velocity of the first meatball, u₁ = 6.0 m/s
mass of the second meatball, m₂ = 2.0 kg
initial velocity of the first meatball, u₂ = 0 m/s
let their common velocity after collision = v
Apply the principle of conservation of linear momentum for inelastic collision ;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
(3 x 6) + (2 x 0) = v( 3 + 2)
18 = 5v
v = 18 / 5
v = 3.6 m/s
Therefore, their common velocity after collision is 3.6 m/s