The final velocity of the tennis ball after the collision is 20 m/s in opposite direction.
What is the final velocity of the tennis ball?
The final velocity of the tennis ball is determined by applying the principle of conservation of linear momentum as shown below.
Mathematically, the formula is given as;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m₁ is the mass of the racket = 10 kgu₁ is the initial velocity of the racket = 8 m/sm₂ is the mass of the tennis ball = 1 kgu₂ is the initial velocity of the tennis = 20 m/sv₁ is the final velocity of the racket = 4 m/sv₂ is the final velocity of the tennis ball = ?(10 x 8) + (-20)(1) = 10(4) + (1)v₂
80 - 20 = 40 + v₂
80 - 20 - 40 = v₂
20 m/s = v₂
Thus, the final velocity of the tennis ball is in opposite direction.
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A dog sits 2.2 m from the center of a merry- go-round.
a) If the dog undergoes a 1.6 m/s2 cen- tripetal acceleration, what is the dog’s linear speed?
Answer in units of m/s.
second part
What is the angular speed of the merry-go- round?
Answer in units of rad/s.
The dog’s linear speed will be 1.88 m/s
The angular speed of the merry-go- round will be 0.85 rad/sec
centripetal acceleration = [tex]v^{2} / r[/tex]
given
r = 2.2 m
linear speed = ?
centripetal acceleration = 1.6 [tex]m/s^{2}[/tex]
centripetal acceleration C(a) = [tex]v^{2} / r[/tex]
linear speed = [tex]\sqrt{C(a) * r}[/tex]
= [tex]\sqrt{1.6 * 2.2 }[/tex] = [tex]\sqrt{3.52}[/tex] = 1.88 m/s
The dog’s linear speed will be 1.88 m/s
angular speed = linear speed / radius
= 1.88 / 2.2 = 0.85 rad/sec
The angular speed of the merry-go- round will be 0.85 rad/sec
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using references websites or maps and a different color line, draw the major crystal plates of the earth on your world map. label the names of the plates neatly
Answer:
The Earth's major plates are the African plate, the Antarctic plate, the Eurasian plate, the North American plate, the South American plate, and the Pacific plate.
Explanation:
If the average distance from Venus to the Sun is given to be 0.7AU, what is its period?
If the average distance from Venus to the Sun is given to be 0.7AU, its time period is 208.49 days.
Kepler's laws of planetary motion :
According to this law, the semi-major axes of the planets' orbits are directly proportional to the squares of the planets' orbital periods.
radius of the venus = 0.7AU
radius of the earth = 1 AU
orbital period of the earth = 365 days
According to the Kepler's 3rd law of planetary motion :
T² ∝ R³
T² = k R³
k = T²/ R³
[tex]k = \frac{T^2_v}{R^3_v} = \frac{T^2_e}{R^3_e}[/tex]
T² /(0.7)³ = (365)² /(1)³
T = [tex](0.7/1)^{\frac{3}{2}}[/tex] X 365
T = 208.49 days
If the average distance from Venus to the Sun is given to be 0.7AU, its time period is 208.49 days.
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Please help me <3
What is measured in Newtons?
Both force and weight (the force of gravity)
Acceleration
Volume
Mass
Answer: both force and gravitational force
Explanation:
A car moving with an initial velocity of 45 ms¹ is brought to a stop in 5 s. Find:
a) the deceleration of the car
b)the distance needed to stop the car
Answer:
a) -9 [tex]m/s^2[/tex]
b) 112.5 meters
Explanation:
Here is a formula for acceleration.
[tex]a=\frac{V_{f} -V_{o} }{t}[/tex]
We are given
[tex]V_o=45[/tex] m/s
[tex]V_f=0[/tex] m/s
[tex]t=5[/tex] s
Lets solve for [tex]a[/tex].
[tex]a=\frac{0-45}{5}[/tex]
[tex]a=\frac{-45}{5}[/tex]
[tex]a=-9[/tex] [tex]m/s^2[/tex]
Here is a formula for displacment.
[tex]x=V_o t+\frac{at^2}{2}[/tex]
[tex]V_o=45[/tex] m/s
[tex]t=5[/tex] s
[tex]a=-9[/tex] [tex]m/s^2[/tex]
Lets solve for [tex]x[/tex].
[tex]x=45*5+\frac{-9*5^2}{2}[/tex]
[tex]x=225+\frac{-9*25}{2}[/tex]
[tex]x=225+\frac{-225}{2}[/tex]
[tex]x=225+-112.5[/tex]
[tex]x=225-112.5[/tex]
[tex]x=112.5[/tex]
How has the magnet affected the block of material next to it?
The magnet affected the block of material next to it because it exerts an attractive or repulsive force on other objects.
How do magnets affect other materials?Magnets do the retinue things: Attract certain materials, such as iron, nickel, cobalt, certain steels, and other alloys. apply an attractive or repulsive force on other magnets (opposite poles attract, like poles repel).
Magnetic forces are oblivious forces; they pull or push on objects without touching them. Magnets are only attracted to a few 'magnetic' metals and not all matter. Magnets are attracted to and repel other magnets.
So we can conclude that Materials with a magnetic field can attract other materials with such a field. Materials that are not magnets do not have a net outer magnetic field.
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Speculate on the different social dynamics behind lower - class drug use and middle -class drug use. For example , are there likely to be differences in motivation for use ? In the way individuals are introduced to drugs ? In the consequences for drug use ?
Social dynamics behind lower -class drug use is homelessness, criminal behaviors, association with gangs and unemployment whereas social dynamics behind middle -class drug use is peer relationships, extramarital relations and distortion of interpersonal family relationships.
What are the social dynamics behind drug use?Social factors that increase the risk for adolescent drug use can include popularity, bullying, peer relationships, and association with gangs.
Other possible factors can be social and familial influences. This can result in financial hardships due to job loss. It may also lead to certain behavior that can put family at risk and can also cause domestic violence within relationships.
Other social problems linked with SUDs can be housing instability, homelessness and unemployment.
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The speed of light in vacuum is 3*10^8m/s what it's speed in glass of refractive index1.5
Answer:
Speed of light in glass V = 2·10⁸ m/s
Explanation:
Given:
c = 3·10⁸ m/s - The speed of light in vacuum
n = 1.5 - Refractive index of glass
__________
V - ?
Speed of light in glass:
V = c / n
V = 3·10⁸ / 1.5 = 2·10⁸ m/s
Buoyancy is a downward force exerted by a fluid on a body placed in the fluid.
OA. True
OB. False
You and a friend are astronauts. You push off eachother with a force of 100N. You both have a weight of 0 in space, but your mass is 110kg, and your friend’s is 80kg. Calculate the accelerations of both you and your friend
Since the force of gravity acting on a body in space is zero;
acceleration for the 110 kg person is 0.acceleration for the 80 kg person is 0.What is the relationship between the mass and acceleration of a body?The mass of a body is inversely related to the acceleration of the body if a constant force is applied to the body.
The greater the mass, the lesser the acceleration of the body.
Mathematically:
Force = mass * acceleration
The force acting on a body in space is zero.
Hence, acceleration = force / mass
For a mass of 110 kg;
acceleration = 0 / 110
Acceleration = 0
For a mass of 110 kg;
acceleration = 0 / 80
Acceleration = 0
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Question 2 (1 point)
Doctors tested a patient to find out what molecules were in her cells. Her cells contained normal levels of oxygen moleculs, low levels of amino
acid molecules, and low levels of glucose molecules. Will this patient be able to exercise normally?
Yes, as long as her cells have enough oxygen, her body will be able to exercise.
No, her cells need glucose to react with oxygen to release enough energy to exercise.
No, her cells need amino acids to react with oxygen to release enough energy to exercise.
No, her cells need glucose to react with amino acids to release enough energy to exercise.
No, her cells need glucose to react with oxygen to release enough energy to exercise. Option B.
Oxygen, glucose, and amino acid molecules from air and food are the fuel your body needs to function every day. Without these molecules, cells cannot do what they need to do to keep the body healthy. Our cells cannot use starch as is. Before starch enters cells, it must be broken down into individual glucose molecules.
The glucose molecule is then transported inside the cell and used to facilitate the cell's respiratory response. Athletes believe that all they need to do is eat a variety of foods and train because their bodies simply need different types of food molecules to function properly. Living organisms mainly use these two types of molecules, glucose, and ATP, as chemical energy.
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A 7.9 kg block initially at rest is pulled to the
right along a horizontal, frictionless surface
by a constant, horizontal force of 12.4 N.
Find the speed of the block after it has
moved 3.7 m.
Answer in units of m/s.
Answer:
[tex]v=3.4081\frac{m}{s}[/tex]
Explanation:
[tex]F=ma\\F=12.4N\\m=7.9kg\\a=\frac{12.4N}{7.9kg}\\a=1.5696\frac{m}{s^2}[/tex]
[tex]v^2=v_0^2+2a\Delta x\\v_0=0\frac{m}{s}\\a=1.5696\frac{m}{s^2}\\\Delta x=3.7m\\v^2=(0\frac{m}{s})^2+2(1.5696\frac{m}{s^2})(3.7m)\\v^2=11.6152\frac{m^2}{s^2}\\v=\sqrt(11.6152\frac{m^2}{s^2})\\v=3.4081\frac{m}{s}[/tex]
A decibel meter reads a sound intensity of 80 dB when you stand 2 m from a loudspeaker. What will the meter read (in dB) if you stand 40 m away?
Answer:
Explanation:
L₁ =80 dB
S₁ = 2 m
S₂ = 40 m
__________
L₂ - ?
The intensity of the site is nearby:
ΔL = 10·lg(S₂/S₁)²
ΔL = 10·lg(40/2)² = 10·2·lg(20) = 20·1.3 = 26 dB
L₂ = L₁ - ΔL = 80 - 26 = 54 dB
Figure 1 shows a large wind farm of the coast of the UK.
The mean power outputs of the wind farm is 696 MW, which is enough power for 580,000 homes.
Calculate the mean power needed for 1 fame:
Give your answer in watts.
Based on the total power output by the wind farm, the mean electrical power for 1 home = 1200 W
What is the mean electrical power needed for 1 home?The mean electrical power needed for 1 home is determined as follows:
Mean power for 1 home = total power output by the farm / total number of homes
Based on the data provided:
The total number of homes that can be powered by the power produced from the wind farm is 580,000 homes
The total power output by the wind farm is 696 MW
Converting MW to watts by multiplying by 1000,000
696 MW = 696 * 1000000 W
696 MW = 696000000 W
Mean electrical power for 1 home = 696000000 / 580000
Mean electrical power for 1 home = 1200 W
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Answer:
1200 W
Explanation:
696 MW = 696,000,000 watts
1MW = 1,000,000 watts
696 MW = 580,000 homes
1 home = 696,000,000/580,000
1 home = 1200 W
A ball at the end of a string of length 2m rotates at a constant speed in a horizontal circle. It makes 7 rev/s.
What is the period of the ball’s motion? Answer in units of s.
second part
What is the frequency of the motion? Answer in units of Hz.
third part
What is the ball’s angular velocity? Answer in units of rad/s.
The time period of the ball’s motion will be 0.14 seconds
The frequency of the motion will be 7 Hz
The ball’s angular velocity will be 43.96 rad/second
given
a) frequency = 7 rev / s = 7 Hz
time period = 1 / frequency
= 1 / 7 = 0.14 seconds
The period of the ball’s motion will be 0.14 seconds
b) The frequency will be 7 Hz
c) The ball’s angular velocity = 2 * π * f
= 2 * 3.14 * 7 = 43.96 rad/second
The ball’s angular velocity will be 43.96 rad/second
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What two forces keep stars in equilibrium?
A. cosmic microwave background radiation
B. self gravity
C. thermal pressure
D. dark energy
According to the given information self gravity two forces keep stars in equilibrium.
The correct option is B.
What you mean by forces?The push or pull on a mass-containing item alters its velocity. An external force is an agent that has the power to alter the rest or flowing condition of a body. It has a direction and a magnitude. Like we discovered in a previous session, forces are significant because they create motion changes.
What is effect of force?An object can change its dimensions or shape, begin moving, stop moving, accelerate, or decelerate as a consequence of the a force acting on it. When two things contact, they exert pressures on each other that are identical in size but directed in the opposite direction.
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Calculate the speed at the edge of a disc of radius 8.5 cm that rotates at the rate of 2.5 rev/s.
Answer in units of m/s.
The speed at the edge of a disc of radius 8.5 cm that rotates at the rate of 2.5 rev/s will be 21.25 m/s
Angular velocity is the rate of change of angular displacement
Mathematically it can also be calculated as linear speed divided by radius
linear speed = omega * radius
= 2.5 * 8.5
= 21.25 m/s
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A 21 KG chair initially at rest on a horizontal floor requires a 167 N horizontal force to set it in motion once the chair is in motion a 132 N horizontal force keeps it moving at a
constant velocity.
The acceleration of gravity is 9.81 m/s².
a) What is the coefficient of static friction
between the chair and the floor?
b) what is the coefficient of kinetic friction between the chair and the floor?
The chair and floor have a static friction coefficient of 7.9523 and a kinetic friction coefficient of 0.8114, respectively.
What causes static friction?The braking force of an item is static friction. The resistance humans encounter when attempting to move something fastened to the ground without actually moving thier own bodies or the surface that are sitting on is described as static friction.
What causes static friction to form?Adhesion, a slight chemical attraction between contact objects, is what causes static friction. Friction is also produced by the interaction of the flaws on each surface.
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The total quantity of an economy's final goods and services demanded at different inflation rates is
A) the aggregate supply curve.
B) the aggregate demand curve.
C) the Phillips curve.
D) the aggregate expenditure function.
The total quantity of an economy's final goods and services demanded at different inflation rates is the aggregate demand curve.
What is the aggregate demand curve?
The total amount spent in an economy on domestic goods and services is known as aggregate demand, or AD. AD is technically what economists refer to as total planned expenditure. Consider aggregate demand to be total spending for the time being; we'll go into more detail about it in later articles.
All four elements of demand are included in aggregate demand:
ConsumptionInvestmentFederal spendingNet exports are imports less exports.The price level is one of several variables that affect this desire. The entire amount spent on domestic products and services at each price level is displayed on an aggregate demand curve.
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Question 2:
mark each, 3 marks total)
A box is at rest,the reading on the scale is 250 newtons. Assum that the
acceleration due to gravity remains constant over the entire distance the
elevator can move.
A) When the elevator is moving upward at constant speed, what is the reading on the
scale?
B) When the elevator is accelerating downward at 5 meters per second squared,
what is the reading on the scale?
C) If the elevator cables broke and the elevator fell freely, what would be the reading on
the scale?
A) The reading on the scale is 250 N.
B) The reading on the scale is 122.45 N.
C) The reading on the scale is 0 N.
Given parameters:
Weight of the box is : W = 250 N.
As the acceleration due to gravity is 9.8 m/s², the mass of the box be: m = W/g = 250/9.8 kg = 25.51 kg
A) When the elevator is moving upward at constant speed, there has no acceleration. the reading on the scale remains same and it be 250 N.
B) When the elevator is accelerating downward at 5 meters per second squared, the apparent weight of the box be, W₁ = W -ma = 250 -25.51×5 N = 122.45 N. So, the reading on the scale is 122.45 N.
C) If the elevator cables broke and the elevator fell freely, the elevator is accelerating downward at the same magnitude of acceleration due to gravity, so the apparent weight of the box be, W₁ = W -mg = 0. So, the reading on the scale is 0 N.
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Must two bodies of equal momentum be moving in the same direction?
Yes, if two bodies have the same momentum, the velocities of the two objects needs to be equal to be moving in the same direction.
What is momentum?Momentum is the product of mass and velocity of a body in motion. It is a vector quantity.
Two bodies of equal momentum can only move in the same direction if their velocities are equal. This is because both the velocity and the momentum are vector quantities. Momentum is the product of mass, which is a scalar quantity and the velocity, which is a vector.
In conclusion, for two objects to have the same momentum and for their directions to be the same, they need to have the same velocity.
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Yes, two bodies of equal momentum must be moving in the same direction.
What is momentum?We know that momentum is the product of the mass and the velocity of the object, In fact, momentum is a vector quantity and it should be clearly stated here that the direction of the momentum vector have to be the direction of the velocity vector.
With this said, when we say that two object have the same momentum we are essentially saying that the velocity vector of the two bodies have to pointing in the same direction. Once the direction is not the same, the momentum of the objects can not ever be the same!
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An athlete at the gym holds a 4. 0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 4. 0 kg.
τ=Fd
In this instance, it will
τ=Fballdball+Farmdcenter of mass
τ = 4*9.81*.7 + 4*9.81*.35 = 41.2
and both of our forces have a magnitude of 4g*cos(55), but they are located in different places.
τ = 4g*cos(55)*(.35+.7) = 23.6
The term "magnitude" refers to an object's greatest size and direction. Scalar and vector quantities both use magnitude as a common factor.
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6. How is research classified according to the following? a. Purpose b. Goal c. Levels of investigation d. Types of analysis e. Scope f. Choice of answers to problems g. Statistical content h. Time element
Answer:
I think the answer is the option h
hope this helps you
5. What energy transformations occur when a person turns on a lightbulb by
connecting its circuit to a battery? List and describe transformations involving three
types of energy. (3 points)
When a person turns on a lightbulb by connecting its circuit to a battery then chemical energy is converted to electrical energy which is in turn converted to heat energy.
How is energy transformed when lightbulb is connected to battery?Initially chemical energy is stored in the battery. When the circuit is completed with a lightbulb then the chemical energy gets converted into electrical energy. And then electrical energy changes in the light bulb into heat energy.
When the terminals of the battery are connected through the light bulb, a pathway is created for the flow of charge. Negatively charged electrons flow from the - to the + terminal through the bulb. This charge flow converts chemical potential energy into electrical energy.
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If we wanted to use some brain-mapping techniques to identify anatomical functioning, but did not want to use any type of dye or tracer, which method below would be the best choice?
A. MRI
B. EEG
C. PET
D. SPECT
In PET scans, the breakdown of ___________ materials in the body and the release of gamma rays produce a functional view of the brain.
A. organic
B. radioactive
C. toxic
D. metallic
Since you wanted to use some brain-mapping techniques to identify anatomical functioning, the method that would be the best choice is option A. MRI.
In PET scans, the breakdown of option B: radioactive materials in the body and the release of gamma rays produce a functional view of the brain.
What substance is employed in a PET scan?FDG, which stands for "fluorodeoxyglucose," is a simple sugar (like glucose) that is frequently employed in PET scanning. It is injected into the bloodstream and builds up inside the body, where it emits gamma rays as energy.
Note that without injecting any kind of dye or tracer, brain mapping techniques like magnetoencephalography (MEG) and functional magnetic resonance imaging (fMRI) scans can be used to detect the anatomical functioning of the brain. The diagnosis and treatment of neurodegenerative illnesses can both benefit greatly from these techniques.
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You stand in front of a mirror. How tall does the mirror have to be so that you can see yourself entirely?
a. same as your height
b. less than your full height but more than half your height
c. half your height
d. less than half your height
e. any size will do
If you stand in front of a flat mirror. The one-half of your height will be seen yourself entirely. Option C is the correct answer.
What is height?A person or anything can be measured from head to toe or from the bottom up by their height. In other words, a person's height indicates how tall they are. Distance units, such as meters, centimeters, millimeters, etc., are used to measure height. We may assess how much taller we get as we age. We frequently contrast the average heights of men and women in various nations.Take a look at your room's four walls. The height of a wall is measured from the ground to the ceiling. Remember how your class is organized in the school assembly, with the tiniest child in the front and the tallest youngster at the back.
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If relativistic effects are to be less than 6%, then must be less than 1.06. At what relative velocity is = 1.06?
If relativistic effects are to be less than 6%, then must be less than 1.06. Hence, at a relative velocity (v) of 0.33c, gamma is = 1.06. This problem is solved using the Lorentz Factor.
What is the Lorentz Factor?The Lorentz factor is a correction parameter used to calculate relativity. Without this component, relativistic motion calculations simply fail, and we can obtain speeds that surpass the speed of light, which cannot be.
The calculation to the above solution is given as follows
Given:
γ = 1/ √1-(v²/c²)
It is logical to simplify by squaring both sides
⇒ γ² = 1/ 1-(v²/c²)
Taking the reciprocal of both sides, we have
1-(v²/c²) = 1/γ²
Transposing we have
v²/c² = 1 - 1/γ²
Since we are looking at v, lets us isolate it:
v = √[1 - (1/γ²) · c]
Inserting the Lorentz factor which is
γ = 1.06, we have
v = √[1 - (1/1.06²) · c]
Hence,
v = 0.33c
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Full Question:
If relativistic effects are to be less than 6% then gamma must be less than 1.06. At what relative velocity is gamma = 1.06?
Question 3
During discussion, a student states, "The law of conservation of energy is not actually useful because no system is ever truly isolated from the rest of the universe. No system is truly closed. There will always be some amount of energy entering or leaving a system." You believe that energy conservation is a useful concept, and you want to
explain why. Which of the following responses is most true?
The most true response is: there are many situations in which difference between energy entering in a system and leaving a system is so small that we can ignore it - so some systems can be treated as if they are closed even they are not.
What is conservation of energy?Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.
The law of energy conservation is adhered to by all energy forms. In a nutshell, the law of conservation of energy asserts that the system's total energy is conserved in closed systems, or systems that are separated from their environment.
In practical life no system is ever truly isolated from the rest of the universe. No system is truly closed. There will always be some amount of energy entering or leaving a system.
But there are many situations in which difference between energy entering in a system and leaving a system is so small that we can ignore it - so some systems can be treated as if they are closed even they are not.
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1. A child sits on a dock and notices that 8 wavelengths pass the end of the dock in 4 seconds. What is the
frequency of the waves passing the dock?.
2. What is the period of the waves in question 1?
Answer:
Explanation:
Given:
n = 8
t = 4 s
______
f - ?
T - ?
Frequency:
f = n /t = 8 / 4 = 2 Hz
Period:
T = 1 / f = 1 / 2 = 0.5 s
If a 2.5 m long pendulum has a bob of 75 g. Calculate its Period, Frequency, and velocity at
equilibrium after its bob is pulled 10 cm above equlibrium and then released.
Time period and frequency of the pendulum are respectively 3.17 second and 0.315 second⁻¹. The velocity of its bob at the equilibrium is
140 cm/s.
Given parameters:
Length of the pendulum, L = 2.5 m = 250 cm.
Mass of the bob, m = 75 g
And, bob is pulled 10 cm above equilibrium and then released.
acceleration due to gravity, g = 9.8 m/s².
Hence, time period of the pendulum is, T = 2π√(l/g)
= 2π√( 250/980) second.
= 3.17 second.
Frequency of the pendulum , n = 1/T = 1/3.17 second⁻¹ = 0.315 second⁻¹.
Let v be the velocity of the bob at equilibrium,
Kinetic energy at equilibrium = potential energy at the highest point
⇒ 1/2 × 75 × v² = 75 × 980 × 10
⇒ v = √(2×980×10)
= 140 cm/s.
So, the velocity at equilibrium after its bob is pulled 10 cm above equilibrium and then released is 140 cm/s.
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