Answer:
a. v(1.8) = -3.14 m/s
b. [tex]v_{max} = 3.925\ m/s[/tex]
c. [tex]a_{max} = 3.08\ m/s^2[/tex]
Explanation:
a.
The speed of a particle executing simple harmonic motion is given by the following equation:
[tex]v(t) = -A \omega \ Sin(\omega t)[/tex]
where,
v = velocity = ?
A = Amplitude = 5 m
ω = angular frequency = [tex]\frac{2\pi}{Time Period} = \frac{2\pi}{8\ s}[/tex] = 0.785 s
t = time
First we find time at 3 m by using equation for displacement:
[tex]x = 3\ m = ACos(\omega t)\\Cos((0.785 rad/s)(t)) = \frac{3\ m}{5\ m}\\t(0.785\ rad/s) = Cos^{-1} (0.6)\\t = \frac{0.927\ rad}{0.785\ rad/s}\\t = 1.18 s[/tex]
Therefore,
[tex]v(1.8) = velocity at 3\ m = -A\omega Sin(\omega t)\\v(1.8) = -(5\ m)(0.785\ rad/s)Sin((0.785\ rad/s)(1.18\ s))\\[/tex]
v(1.8) = -3.14 m/s
c.
The maximum speed is given as:
[tex]v_{max} = A\omega\\v_{max} = (5\ m)(0.785\ rad/s)\\[/tex]
[tex]v_{max} = 3.925\ m/s[/tex]
The maximum acceleration is given as:
[tex]a_{max} = A\omega^2\\v_{max} = (5\ m)(0.785\ rad/s)^2\\[/tex]
[tex]a_{max} = 3.08\ m/s^2[/tex]
What does the REVOLUTION of Earth around the Sun bring us and how long does it take?
Answer:
takes 365 days and it bring us seasons such as, spring,winter and fall.
A bicyclist with a mass of 50 kg is traveling at a rate of 30 m/s. It accelerates to a rate of 50 m/s in 5 seconds. What is the net force acting on the bicycle?
Answer:
200 N
Explanation:
There is only two needed factors in play here; the mass and acceleration
According to Newton's 2nd Law: F = m*a
Now Acceleration is Velocity over Time, so we have another factor in play: Acceleration = 50-30/5 = 20/5 = 4m/s^2
Net force = (50 kg)(4 m/s^2) = 50*4 = 200 Newtons
Calculate the force used if 108J of work done is moving a wrapped present 9M
Answer:
F = 12 N
Explanation:
Mechanical Work
Mechanical work is the amount of energy transferred by a force. It's a scalar quantity, with SI units of joules.
Being F the force vector and s the displacement vector, the work is calculated as:
W = F.s
If both the force and displacement are parallel, then we can use the equivalent scalar formula:
W=F.s
When the value of the work is known and we need to find the force, we solve the above equation for F:
[tex]\displaystyle F=\frac{W}{s}[/tex]
The wrapping present is moved by s=9 m doing W=108 J of work. The force used is:
[tex]\displaystyle F=\frac{108}{9}[/tex]
F = 12 N
is the text in red correct (0n0')
What is this question
If the velocity of an airplane is doubled, then its kinetic energy
will increase by a factor of
Answer:4
Explanation:
If the velocity of an airplane is doubled, then its kinetic energy will increase by a factor of four.
What is kinetic energy?The ability of an object to do work by virtue of its motion.
The kinetic energy is represented mathematically as
K.E = 1/2 mv²
where v is the velocity with which the object is moving and m is its mass.
When the velocity is doubled, kinetic energy is
K.E' = 1/2 m(2v)²
K.E' =4 x ( 1/2 mv²)
Thus, airplane's kinetic energy will increase by a factor of four.
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can you please help me
A material has a low resistivity. Which statement is the best prediction about
this material?
A. It is a conductor that allows charge to move freely through it.
B. It is a conductor that does not allow charge to move freely through
it.
C. It it an insulator that does not allow charge to move freely through
D. It is an insulator that allows charge to move freely through it.
Please help fast
Answer:A
Explanation:I’m taking the test rn and I got it correct
It is a conductor that allows charge to move freely through it.
What is Resistivity?Resistivity is a distinctive attribute of any material that may be used to compare different materials based on how well they conduct electric currents. Low conductivity is indicated by high resistance.
The Greek letter rho is frequently used to represent resistance, which is numerically equivalent to the resistance R of a wire-like specimen, multiplied by its cross-sectional area A, and divided by its length.
The ohm is the measurement of resistance. The ratio of area in square meters to length in meters is reduced to merely meters in the metre-kilogram-second (mks) method.
Therefore, It is a conductor that allows charge to move freely through it.
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The force that acts on an object lying on a surface, acting in a direction perpendicular to the surface is called ____________
A student pulls horizontally on a block with a spring scale. The block reads 24.5 Newtons before the block starts to move. It reads 23.7 Newtons as she pulls the block at a constant velocity. How should she explain this?
Answer:
The coefficient of friction causes the force on the object to be less than its initial reading on the spring scale.
Explanation:
Since the block reads 24.5 N before the block starts to move, this is its weight. Now, when the block starts to move at a constant velocity, it experiences a frictional force which is equal to the force with which the student pulls.
Now, since the velocity is constant so, there is no acceleration and thus, the net force is zero.
Let F = force applied and f = frictional force = μN = μW where μ = coefficient of friction and N = normal force. The normal force also equals the weight of the object W.
Now, since F - f = ma and a = 0 where a = acceleration and m = mass of block,
F - f = m(0) = 0
F - f = 0
F = f
Since the force applied equals the frictional force, we have that
F = μW and F = 23.7 N and W = 24.5 N
So, 23.7 N = μ(24.5 N)
μ = 23.7 N/24.5 N
μ = 0.97
Since μ = 0.97 < 1, the coefficient of friction causes the force on the object to be less than its initial reading on the spring scale.
A rectangular block measures 4.1 cm by 2.8 cm by 2.1 cm.
Calculate its volume giving your answer to an appropriate
number of significant figures.
Answer:v=l x w x h
Explanation:
h=height
w=width
l=length
Answer:
24.108 cm3
Explanation:
4.1x2.8x2.1
24.108cm3
When a 0.292 kg mass on a string is swung at 8.45 m/s, it feels a centripetal acceleration of 78.9 m/s^2. What is the radius of the swing? (Unit = m)
Answer:
0.905
Explanation:
right answer
The radius of the swing is 0.905 m
Circular motionFrom the question, we are to determine the radius of the swing
Using the centripetal acceleration formula
[tex]a_{c}= \frac{v^{2} }{r}[/tex]
Where [tex]a_{c}[/tex] is the centripetal acceleration
v is the velocity
and r is the radius
From the given information,
v = 8.45 m/s
[tex]a_{c} = 78.9 \ m/s^{2}[/tex]
Then,
[tex]78.9 = \frac{8.45^{2} }{r}[/tex]
[tex]r = \frac{8.45^{2} }{78.9}[/tex]
[tex]r = \frac{71.4025}{78.9}[/tex]
r = 0.905 m
Hence, the radius of the swing is 0.905 m
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Electric current passing through a wire produces _.
a
a magnetic field around the wire
b
a compass
c
geographic poles
d
a permanent magnet
Answer: Answer is A.
A magnetic field around the wire
Explanation:
For every action, there is an equal and opposite reaction” is a definition of _________
Answer:
These two forces are called action and reaction forces and are the subject of Newton's third law of motion. Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects.
Answer: action, opposite
Explanation:
When one wave crest overlaps the crest of another and they add together what happens to the amplitude?
A: stays the same
B: decreases
C: increases
When one wave crest overlaps with the crest of another and they add together and their amplitude increases. Hence, C is correct.
What is amplitude ?Amplitude of a wave is the distance from the midpoint of a crest to its top or the distance from the midpoint of a trough to its bottom. For a wave the peak to the top is called crest and peak to the bottom or decline is called troughs.
When two waves overlap by crest of one wave and trough of another wave, then their amplitude will decrease and it is called destructive interference.
Amplitude of a wave is directly related to its intensity. High amplitude waves are intense. When two waves overlaps by their crests and add up together their amplitude will be the sum of amplitudes of both waves. This is called constructive interference. Hence, option C is correct.
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A sheep is walking at 1.6 m/s. How long will it take to go 3600 m?
Answer:
2,250 seconds or 37.5 minutes
Explanation:
Which of these is not a method of preventing the corrosion of metals?
A) galvanising
B) painting
C) plating
D) rusting
Answer:
D
Explanation:
rusting is actually the corrosion of metals so it can't be a way to prevent itself.
A roller coaster travels down a 120 m track in 12.5 seconds how fast does the roller coaster go
Answer:
9.6m/s
Explanation:
Using the equation S=d/t where s=speed, d=distance, and t=time
plug in the known variables
S=120m/12.5s
S=9.6m/s
How much work is done in lifting a 300 Newton rock 10 meters off the ground?
Answer:
3000 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 300 × 10
We have the final answer as
3000 JHope this helps you
What makes the eardrum vibrate?
Answer:
The sound waves are gathered by the outer ear and sent down the ear canal to the eardrum. The sound waves cause the eardrum to vibrate, which sets the three tiny bones in the middle ear into motion. The motion of the three bones causes the fluid in the inner ear, or cochlea, to move.
~+lil more info+~
The sound waves go through the ear canal into the middle ear, which includes the eardrum (a thin layer of tissue) and three tiny bones called ossicles. The sound causes the eardrum to vibrate. The ossicles amplify these vibrations and carry them to the inner ear.
Ram travel 50metre on a straight road in 30second . hari covers the same distance on the same road in 45s . who has done more work ? who has more ? Explain in short
Answer:
The ram has done more work because the rate at which the ram work is 1.6m/s and Hari is 1.1m/s
A 20 kg crate initially at rest on a horizontal floor requires a 80 N horizontal force to set it in motion. Find the coefficient of static friction between the crate and the floor.
Answer:
The coefficient of static friction between the crate and the floor is 0.41
Explanation:
Friction Force
When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration and velocity because the friction force opposes motion.
The friction force when an object is moving on a horizontal surface is calculated by:
[tex]Fr=\mu N[/tex] [1]
Where [tex]\mu[/tex] is the coefficient of static or kinetics friction and N is the normal force.
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:
N = W = m.g
The crate of m=20 Kg has a weight of:
W = 20*9.8
W = 196 N
The normal force is also N=196 N
We can find the coefficient of static friction by solving [1] for [tex]\mu[/tex]:
[tex]\displaystyle \mu=\frac{Fr}{N}[/tex]
The friction force is equal to the minimum force required to start moving the object on the floor, thus Fr=80 N and:
[tex]\displaystyle \mu=\frac{80}{196}[/tex]
[tex]\mu=0.41[/tex]
The coefficient of static friction between the crate and the floor is 0.41
Which is a feature of a cladogram?BY MOHAMED
I GIVEING A !)) 100 point RIGHT NOW ASP
Answer:
Constructed cladograms all typically share certain key features: Root – The initial ancestor common to all organisms within the cladogram (incoming line shows it originates from a larger clade) Nodes – Each node corresponds to a hypothetical common ancestor that speciated to give rise to two (or more) daughter taxa.
Explanation:
Answer:
one feature of a cladogram is a branch that shows you relations among animals
Explanation:
What happens to the pressure as air rises from the ground into the atmosphere?
Does it increase or decrease?
Answer:
please try brainlist answer
As the atmosphere expands the further you get from the Earth's surface, it becomes less dense and air pressure decreases. As you increase altitude (distance from Earth's surface) in an airplane, air pressure changes
कृपया ब्रेनलिस्ट का उत्तर केवल 1more उत्तर देने का प्रयास करें।
The number of protons equals the atomic number. TRUE OR FALSE?
Answer:
true
Explanation:
The number of protons, neutrons, and electrons in an atom can be determined from a set of simple rules. The number of protons in the nucleus of the atom is equal to the atomic number (Z). The number of electrons in a neutral atom is equal to the number of protons.
Convert 60000cm to m
Answer:
The answer is 600 using metric system
Answer:
600 cm
Explanation:
60,000 ÷100=600
Where does the kinetic energy people get during the sport come from?
Answer:
kinetic is the stored energy being released from being dormant
Explanation:
Answer:
kinetic is the stored energy being released from being dormant
Explanation:
i copied
You will measure and record the time it takes the cart to travel certain distances, and then complete some calculations. In the space below, write a scientific question that you will answer by doing this experiment.
Answer:
Take the measurement of the distance (d) with a meter rule (in meters) and also measure the time (t) of the travel in seconds with a stopwatch.
question: What is the speed of the cart?
Explanation:
The speed of an object in motion is the distance covered by the object with respect to time, that is, the ratio of distance covered to the time taken to reach that distance.
Speed = distance / time
= d (in meters m) / t (in seconds s) = m/s
what are em waves expain in details
The earth’s gravity is pulling on you. Are you pulling on the earth? Explain your reasoning.
Answer:
yes we do because every object that has mass produces gravitational force relative to how much mass it has
Explanation: