The maximum number of revolutions per minute the fan can run at before she will be flung off is 1,982.24 rev/min.
What is the maximum angular speed of the fan?
The maximum angular speed of the fan is calculated by applying the following kinematic equation.
From Newton's second law of motion,
F = ma
F = mv/t
F = m(ωr/t)
where;
m is the mass ω is the angular speed in rad/sr is the radius of the bladet is the time of the bladeω/t = F/mr
ω/t = (0.0137 N) / (0.00022 kg x 0.3 m)
ω/t = 207.58 rad/s
ω/t = (207.58 rad/s) x (1 rev / 2π rad) x (60 s / min)
ω/t = 1,982.24 rev/min
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The current theory of the structure of the
Earth, called plate tectonics, tells us that the
continents are in constant motion.
Assume that the North American continent
can be represented by a slab of rock 4050 km
on a side and 29 km deep and that the rock
has an average mass density of 2750 kg/m3
The continent is moving at the rate of about
4.8 cm/year.
1)What is the mass of the continent?
Answer in units of kg.
2)What is the kinetic energy of the continent?
Answer in units of J.
3)A jogger (of mass 63 kg) has the same kinetic
energy as that of the continent.
What would his speed be?
Answer in units of m/s.
The mass of the continent which s represented as a slab of rock of 4050 km on a side and 29 km deep and the rock has an average mass density of 2750 kg/m3 is 1.31 * [tex]10^{21}[/tex] Kg.
What is kinetic energy?
A moving item or particle might have the power of a certain type called kinetic energy. By applying a net force, an item can perform work, which involves the transfer of energy. As a result, the object accelerates and as a result, gains kinetic energy.
Given:
The side of the slab, a = 4050 km,
The density of slab, d = 2750 kg/[tex]m^3[/tex],
The depth of the slab, h = 29 km.
Calculate the mass by the following formula,
m = [tex]V * d[/tex]
Here, m represents mass and V represents volume,
m = 4050 * [tex]10^3[/tex]* 29 * [tex]10^3[/tex] * 4050 * [tex]10^3[/tex] * 2750
m = 1.31 * [tex]10^{21}[/tex] kg
Therefore, the mass of the continent is 1.31 * [tex]10^{21}[/tex] kg.
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Suppose you are standing in the aisle of a bus that travels along a straight road at 100km/h and you have a pencil still above your head. Then relative to the bus the velocity of the pencil is 0km/h, and relative to the road the pencil had a horizontal velocity of
Answer: 100km/h
Explanation: This is because the road isn't moving. If you drew the roads velocity and the bus velocity you would find a 100km/h difference. Thus an object inside the bus would experience the same differential.
Q7, how the ans is 4.9 not 19.6?
the answer is c in question 7
An ideal massless spring, inclined plane, that makes an angle theta with the horizontal, and mass arrangement is given. A block of mass m is released from rest at the top of a frictionless incline. The block comes to rest momentarily after it has compressed this spring by ∆x. Initially, distance between the block and the spring is d.
Find ∆x.
Compression is Δx = √(2mgd·sinθ/k).
Given parameters:
Mass of the block = m.
Distance between the spring and the block is = d
The spring constant = k.
And, angle of inclination = θ.
And, The block comes to rest momentarily after it has compressed this spring by ∆x.
Now, loss of potential energy of the block = mgd sinθ.
And, gain in potential energy of the spring due to compression = 1/2k(Δx)²
From principle of conservation of energy,
1/2k(Δx)² = mgd sinθ.
⇒ Δx = √(2mgd·sinθ/k)
So, amount of compression is Δx = √(2mgd·sinθ/k).
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PLEASE HELP DUE TODAY
Imagine you are an alien from a distant galaxy. Your home planet does not have any gravity. You have just landed on Earth and make a few observations about the planet.
1) What are some ways you might first observe gravity?
2) How might you test gravitational force?
3) How would you describe gravity to other aliens back at your home planet?
Use details to support your answer.
Answer:
1. some ways I might first observe gravity are... when I first arrive on earth I will see everything staying in one place on the ground and nothing will be floating
everywhere.
2. I might test gravitional force by jumping and seeing how fast I come down or by taking something and dropping it from above my head to the ground to see that it falls and doesn't float.
3.I woukd describe gravity to other aliens back at my home planet by #1 telling them that nothing floats, everything touches the ground and if u drop something from high above you will instantly/immediately fall back down to the ground.
You can say exactly this if you want bc I answered like how if u were gonna answer the question so your welcome
Answer:
1. some ways I might first observe gravity are... when I first arrive on earth I will see everything staying in one place on the ground and nothing will be floating
everywhere.
2. I might test gravitional force by jumping and seeing how fast I come down or by taking something and dropping it from above my head to the ground to see that it falls and doesn't float.
3.I woukd describe gravity to other aliens back at my home planet by #1 telling them that nothing floats, everything touches the ground and if u drop something from high above you will instantly/immediately fall back down to the ground.
Explanation:
How do I know what base my light bulb is?
Determine if the base of a light bulb is a pin type, which has two points of contact on the base, or a screw type, which has threads all the way around the base.
What is a thread in a screw?
A screw thread, which is sometimes abbreviated as "thread," is a helical structure that converts rotational and linear force or movement. A screw thread is a ridge that is helix-shaped and wrapped around a cylinder or cone; the former is known as a straight thread and the latter as a tapered thread. The screw's thread is its most important component both as a basic machine and as a threaded fastener. The lead, or the linear distance the screw travels in one rotation, determines the mechanical advantage of a screw thread. The lead of a screw thread is often selected such that there is enough friction to prevent the conversion of linear motion to rotational, preventing the screw from slipping.
Determine if the base of a light bulb is a pin type, which has two points of contact on the base, or a screw type, which has threads all the way around the base. You can refer to the letter-number references (E12, E17, and E26) for a fuller explanation of light bulb base sizes to better comprehend a particular bulb's style and size. The first letter denotes the base's shape or form, while the number denotes the base's breadth (normally in millimeters).
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2. A small china bowl having kinetic energy E is sliding
along a frictionless countertop when a server, with per-
fect timing, places a rice ball into the bowl as it passes
him. If the bowl and rice ball have the same mass, what
is the kinetic energy of the system thereafter? (a) 2E
(b) E (c) E/2 (d) E/4 (e) E/8
E/2 is the kinetic energy of the system thereafter.
[tex][KE_f=m2E/m/4],[=E/2][/tex]
The energy an item has as a result of motion is known as kinetic energy. An object's kinetic energy will remain constant as long as it is travelling at the same speed. The velocity and mass of an item are used to compute its kinetic energy. The kinetic energy may be significantly impacted by the square of the velocity, as seen in the equation.
The joule is the accepted measurement for kinetic energy (J). The joule serves as the universal unit of energy. While potential energy is caused by an object's location or condition, kinetic energy is caused by an object's motion. The velocity of an item plays a significant role in determining its kinetic energy.
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A jeep drives 30m/s at 60 degrees north of east for three hours across the desert.
a. Determine the component of the jeeps velocity in the north direction.
b. How far north does the keep travel?
c. Determine the component of the jeeps velocity in the east direction.
d. How far east does the keep travel?
e. What is the total displacement of the jeep?
Component of North direction , East Direction velocity is 30√3m/s , 63.88726m/s respectively. Distance of north and east direction is 21.96 m ,8.04 m respectively and Displacement is 0.
Speed = 30m/s , Ф=60 , time= 3hrs
a. √(Vₓ² +Vₙ²) = ν
√( 3600 -900 ) = ν
30√3m/s= ν
b. ED=EA + 30
30√3= EA + 30
EA= 30√3 - 30
= 30 { √3 -1 }
=30 (1.732-1)
=30 (0.732)⇒ 21.96 m
c. √(V1² +V2²) = ν
√(3600 + 481.583)⇒ 63.88726m/s
d. Component of east direction = 30-21.96
=8.04 m
e. Displacement being a scalar quantity and state function = 0
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The component of a velocity are 25m/s and 16m/s . determine the velocity
The resultant velocity of the two components velocity is 29.68 m/s.
What is resultant velocity?The resultant velocity of an object is the sum of its individual vector velocities. Also, the resultant velocity of an object is the single velocity that can effectively represent the two velocities in both magnitude and direction.
The resultant velocity of the two given components of velocity if calculated as follows;
V² = Vx² + Vy²
where;
Vx is the x component of the velocityVy is the y component of the velocityV² = 25² + 16²
V² = 881
V = √881
V = 29.68 m/s
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a trapeze is a short horizontal bar held up by two vertical ropes on either side. An acrobat with a mass of 60 kg provides a 588 N downward force on the bar. Each of the two ropes provide an upward force of 349 N. What is the upward acceleration of the acrobat?
The upward acceleration of the acrobat is 1.833 m/s².
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Mass of the acrobat; M = 588 N.
Weight of the acrobat acting downwards; W = 588 N.
Upward force provided by each of the two ropes; f = 349 N.
Hence, net force acting on the acrobat in upward direction = 2f -w
= (2×349 - 588 ) N.
= 110 N.
Hence, the upward acceleration of the acrobat is = net force/ mass
= 110/60 m/s².
=1.833 m/s².
So, the upward acceleration of the acrobat is 1.833 m/s².
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7. A child of mass m starts from rest and slides without friction from a height h along a curved waterslide (Fig. P5.46). She is launched from a height into the pool. Figure P5.46 4/5 Fmax (a) Is mechanical energy conserved? Why?
The mechanical energy of the girl will be conserved because the system is isolated and the initial potential energy will be equal to final kinetic energy.
What is the law of conservation of energy?
The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.
The change in the potential energy of the launched from a height into the pool without friction from the given height h is calculated by applying the following kinematic equation.
ΔP.E = ΔK.E
where;
ΔP.E is change in potential energy of the childΔK.E is change in the kinetic energy of the childmghf - mghi = ¹/₂mv² - ¹/₂mu²
where;
m is the mass of the girlg is acceleration due to gravityhi is the initial height of the girlhf is the final height when she is launched into the poolu is the initial velocityv is the final velocity of the girlThus, for every closed or isolated system such as this case, mechanical energy is always conserved because the initial potential energy of the girl will be converted into her final kinetic energy.
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Did Donald Trump influence public policy?
Select the correct answer. What happens when a negatively charged object A is brought near a neutral object B? A. Object B gets a negative charge. B. Object B gets a positive charge. C. Object B stays neutral but becomes polarized. D. Object A gets a positive charge. E. Object A loses all its charge.
What happens when a negatively charged object A is brought near a neutral object B is that: B. Object B gets a positive charge.
The law of electrostatic forces.According to the law of electrostatic forces, unlike charges attract each other while like charges repel one another.
This ultimately implies that, objects that are having the same charges (like charges) would repel one another, and this causes a transfer of electrons (charges) to any differently charged object which comes in contact with it, through a process known as conduction.
In this context, we can reasonably and logically deduce that the negative charge of object A would induce an opposite charge (positive) on object B when a negatively charged object A is brought near a neutral object B.
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staff members at the mental health center do not respond to patients who use threats, but praise patients who are polite. Which of the following psychotherapeutic approaches is being used? A. Behavioral therapy B. Cognitive therapy C. Humanistic therapy D. Psychoanalytic therapy E. Assertiveness training
In this case Behavioral therapy is being used.
What is Behavioral Therapy?
A broad phrase used to describe several forms of therapy used to address mental health conditions is behavioural therapy.
This type of treatment aims to recognize and assist in changing potentially harmful or unhealthy behaviors. It is predicated on the notion that all behaviors are taught and that they are modifiable. Treatment frequently focuses on current issues and solutions.
When staff members at the mental health center do not respond to patients who use threats, but praise patients who are polite, they try to teach politeness and other good behavior by using Behavioral therapy.
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Express the Vector A=5ON at South east east in Polar form
Answer:
Explanation:
Polar form:
ρ = A = 50
φ = - 45°; φ = - π / 4
r = ρ·cos φ
r = 50·cos (- π / 4)
if a car collides with a moving bus, what type of relationship exists between the force of the car and the force of the bus?
A: forces are not equal and in the opposite direction
B: forces are equal and in the same direction
C: forces are equal but opposite in direction
D: forces are not equal but in the same direction
Answer:
C: forces are equal but opposite in direction
Explanation:
If both objects are moving you know this is an elastic collision and therefore the bus and car will travel in opposite directions after the collision with equivalent forces.
if a car collides with a moving bus, the type of relationship exists between the force of the car and the force of the bus is the forces are equal but opposite in direction.
What are the types of force ?Force can be defined as pushing or pulling of any object resulting from the object’s interaction or movement, without force the objects can not be moved, can be stopped or change the direction.
Force is a quantitative interaction between two physical bodies, means an object and its environment, there are different types of forces in nature.
If an object in its moving state will be either static or motion, the position of the object will only be changed if it is pushed or pulled and The external push or pull upon the object called as Force.
The contact force types are the force that occurs when we apply some effort on an object such as Spring Force, Applied Force, Air Resistance Force, Normal Force, Tension Force, Frictional Force
Non-Contact forces are another type of forces occur from a distance such as Electromagnetic Force, Gravitational Force, Nuclear Force
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Can you help? It give a example and I need help seeing what type of boundary it is.
Answer:
Explanation:
4. Convergent boundary- when two plates move closer together.
5. Divergent boundary- when two plates move apart
6. Transform boundary- when two plates move past each other
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an
object with mass 5 kg, the acceleration of the object is 15 m/s². If the same force acts upon another object whose mass is 3 kg
what is this object's
acceleration?
25 m/s² is the object's acceleration
m1a1=m2a2
m1=5kg
m2=3 kg
a1= 15 m/s²
a2=?
m1a1=m2a2
a2=m1a1/m2
a2=5×15÷3
a2= 25 m/s²
Acceleration is a vector variable that describes the rate at which an object changes its velocity.
An object is said to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second.
The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, something that is travelling at a steady speed is not accelerating.
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Calculate the change in kinetic energy of a ball of mass 200 g when it bounces. Assume that it hits the ground with a speed of 15.8 m/s and leaves it at 12.2 m/s.
Answer: So, the kinetic energy of the ball is 0.02 J
Explanation:
A. A toy car works by means of a stretched rubber band. What form of potential energy does the car store when the band is stretched
B. A bar magnet is lying with its north pose next to the south pole of another bar magnet. A student pulls them apart. Why do we say that the magnets' potential energy has increased? Where has the energy come from?
a) The energy that is stored in a rubber band is the elastic potential energy
b) The potential energy of the magnets increases as work is done to separate the opposite poles.
What is potential energy?We define the potential energy as the energy that is possessed by a body that is at rest. In other words, it is an energy that is possessed by a body that is not in motion. It is a result of the position of a body.
However, the potential energy can be released to do work when there is need. In this case, we have two different cases where the potential energy that have been stored in a body is released to do work.
a) In this case, the potential energy that is stored in the rubber band is the elastic potential energy. When we stretch the rubber band, this energy is now available to do work.
b) The potential energy of the magnets is said to increase when we pull them apart because more work is done to separate the opposite poles of the magnet. The energy comes from the separation of the poles of the magnets.
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A particle of mass 2 kg moves along the x-axis attracted toward the origin by a force whose magnitude is 8x. If the mass is initially at rest at x 20, find the following: a) The differential equation and initial conditions describing the motion. b) The position of the particle at any time. c) The velocity of the particle at any time. d) The amplitude, period and frequency of the motion.
Answer:
A
Explanation:
this is because 2×8×20=320
why do some object remain hot for a long period of time and some object remain hot for short period of time ? urgent
Some object remains hot for a long period of time because they have low thermal conductivity and some object remain hot for a short period of time because they have high thermal conductivity.
What is thermal conductivity?Thermal conductivity is a property of a substance to allow heat to flow through it easily.
Thermal conductivity is a measure of how well a substance will conduct heat or not.
Objects that have high thermal conductivity gain heat easily and also lose heat easily. Hence, they get hot quickly and also get cold quickly.
Objects that have low thermal conductivity gain heat slowly and also lose heat slowly. Hence, they get hot slowly and also get cold slowly.
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Derrick goes to a party and has a bad time, which decreases his party going behavior. This is an
example of
A) positive reinforcement
B) negative reinforcement
C positive punishment
D) negative punishment
Answer:
B) negative reinforcement
Explanation:
Derrick goes to a party and has a bad time, which decreases his party going behavior. This is an example of negative reinforcement. Hence option B is correct.
What is reinforcement ?According to the reinforcement hypothesis, "contingent consequences" of human activities lead to human behaviour. This means that when employees get the appropriate reinforcers, their conduct can change for the better, and bad behaviour can be eliminated.
Self-awareness, self-reflection, and self-regulation are the three key tenets of the self-regulation paradigm of human behaviour. Historically, rewards have correlated with self-regulation. Although the result may have an impact on the conduct, behaviour also need antecedents. Positive reinforcement, negative reinforcement, extinction, and punishment are the four different forms of reinforcement. The use of a positive reinforcer is known as positive reinforcement. In order to encourage the antecedent behavior from that, negative reinforcement is the technique of eliminating anything undesirable from the subject's environment.
Hence option B is correct.
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As part of an experiment on Mythbusters, a car was dropped from a crane 131 m (approximately 430 ft) above the
ground. If you assume there is no air resistance,
(a) how long would it take for the car to reach the ground?
(b) with what velocity will the car hit the ground?
A. The time taken for the car to reach the ground is 5.17 s
B. The velocity with which the car will hit the ground is 50.666 m/s
A. How do I determine the time taken for the car to reach the ground?
We can simply obtain the time taken for the car to reach the ground as illustrated below:
Height (h) = 131 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) = ?h = ½gt²
131 = ½ × 9.8 × t²
131 = 4.9 × t²
Divide both side by 4.9
t² = 131 / 4.9
Take the square root of both side
t = √(131/ 4.9)
t = 5.17 s
Thus, the time taken is 5.17 s
B. How do I determine the velocity with which the car will hit the ground?
The velocity with which the car will hit the ground can be obtained as follow:
Initial velocity (u) = 0 m/sTime (t) = 517 sAcceleration due to gravity (g) = 9.8 m/s²Final velocity (v) =?v = u + gt
v = 0 + (9.8 × 5.17)
v = 0 + 50.666
v = 50.666 m/s
Thus, the velocity is 50.666 m/s
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If a 62 kg panther sits in a tree 1.3 meters above the ground, how much gravitational potential energy does it have?
If the air resistance cause the panther to lose 200 J of energy as it falls, what is the KE of the panther just before it hits the ground?
What was the velocity of the panther just before it hit the ground?
Answer:
below
Explanation:
PE = mgh = 62 * 9.81 * 1.3 = 791 J
now lose 200 J to air resistance = 591 J that is converted to kinetic energy
KE = 1/2 m v^2
591 = 1/2 (62)(v^2) shows v = 4.4 m/s
A dog is running at 7.2 m/s then comes to a complete stop after sliding for 14.4 m. What is the dog's acceleration?
The dog's acceleration :- -1.8 [tex]m/s^{2}[/tex] (deacceleration).
given data:-initial velocity u=7.2 m/s
final velocity v= 0
displacement s= 14.4m
v² = u² + 2as
a= -(7.2*7.2)/2*14.4
acceleration a= -1.8 [tex]m/s^{2}[/tex]
The calculation of acceleration?The rate at which velocity changes over a predetermined amount of time is called acceleration. By dividing the velocity change by the time change, you can calculate acceleration.
Can velocity and acceleration be equal?As time passes, the velocity is shifting. Actually, every second of time sees a change in velocity of 10 m/s, which is a constant. When an object's velocity changes, it is said to be accelerating; this implies that the object has an acceleration.
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When elections are shared, molecules are produced and ? Is formed
A. A natural bond
B. An iconic compound
C. A covalent compound
D. A hydrogen bond
elections are shared, molecules are produced, the correct answer is option
C. A covalent compound
What is covalent compound?
Covalent compounds are composed of atoms that are linked via covalent bonds i.e. bonds formed by mutual sharing of electrons. This is in complete contrast to ionic compounds which are held together by ionic bonds, i.e. bonds formed by complete transfer of electrons from one atom to the other.
In the given examples we have:
Barium nitrate: Ba(NO3)2 - Ionic
Dinitrogen tetroxide: N2O4- Covalent
Strong intramolecular linkages characterise covalent substances. This is due to the atoms within covalent molecules being very securely bound together. Each molecule is certainly distinct, and the attraction between individual molecules in a covalent complex is typically modest.
To split the molecules, we simply require a minimal amount of energy. This is owing to the molecules' attraction forces as well as a lack of total electric charge. Covalent compounds are typically gaseous molecules at ambient temperature and pressure. They could be liquids with extremely low boiling points.
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Which quantities (initial horizontal speed, initial vertical speed, range, flight time, or maximum height) varies linearly with the initial velocity?
Initial horizontal speed and flight time of a projectile are proportional to of the initial velocity.
What is projectile motion?A projectile is any object that is sent into space with only gravity acting on it. The primary force affecting a projectile is gravity.
This doesn't mean that other forces don't have an impact; it just means that they have a much smaller one compared to gravity. The trajectory of a projectile is the path it takes after being fired. The projectile is something that is batted or hurled, similar to a baseball.
Initial horizontal speed projectile= u
flight time of a projectile = 2usinθ/g.
So, these two quantities of projectile motion are proportional to the initial velocity.
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A liquid can easily change its shape but a solid cannot because
a. the density of liquid is smaller than that of solid.
b. the forces between the molecules is strong in solid than in liquids.
c. the atoms combine to form bigger molecules in a solid.
d. the average separation between the molecules is larger in solids.
Answer:
Explanation:
A liquid can easily change its shape but a solid cannot because:
b. The forces between the molecules is strong in solid than in liquids.
A liquid can easily change its shape but a solid cannot because the forces between the molecules is strong in solid than in liquids. Thus Option b is the answer.
There is some kinds of forces that holds the molecules each other like for example in hydrogen chloride [ HCl ] the relatively positive hydrogen of one molecule is attracted to the negative chlorine of other due to dipole dipole interaction.
Actually structure of any molecule means combination of repulsive and attractive forces which is relatively concerned with charge and electron spin.
Solids have significant intermolecular forces so its difficult to dissociate the bonds and create a new shape , while fluids have insignificant molecular forces due to which its easier to generate new shapes.
So that's why Solids cannot change its shape with that ease as liquids do.
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35.
A block has a mass of 20.0 g and a volume of 40.0
cm³. What is its density
a. 2.0 g/cm³ 3
b. 0.5 g/cm
C.1.2 g/cm 3
d. 4.0 g/cm³
3
Answer:
Density 0.5 g/cm³
Explanation:
Given:
m = 20.0 g
V = 40.0 cm³
_________
Find ρ - ? Density
Density:
ρ = m / V
ρ = 20.0 / 40.0 = 0.5 g/cm³