Answer:
2.0 × 104 2.0
Nuclei decay from a more stable form to a less stable form.Question 9 options:TrueFalse
ANSWER
False.
EXPLANATION
In radioactive decay (or nuclei decay), an unstable nucleus emits radiation into a nucleus that is table and has less energy and a lower mass.
Therefore, nuclei decay from a less stable form to a more stable form.
The answer is false.
How much heat is required to be removed from a 8kg liquid water at 33 °C to be transformed into ice at 0 °C?
The Total heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C is 13,019 J.
The heat required to be removed from a liquid to transform it into a solid is called the heat of fusion. For water, the heat of fusion is approximately 334 J/g. To calculate the amount of heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C, we'll need to take into account both the heat of fusion and the heat required to lower the temperature of the water from 33 °C to 0 °C.
First, we'll calculate the heat required to lower the temperature of the water from 33 °C to 0 °C. This can be calculated using the formula:
Q = mcΔT
where Q is the heat required, m is the mass of the water (8 kg), c is the specific heat capacity of water (4.186 J/g·°C), and ΔT is the change in temperature (3temperature change
Q = (8 kg)(4.186 J/g·°C)(33 °C) = 10,347 J
Next, we'll calculate the heat of fusion by multiplying the heat of fusion of water (334 J/g) by the mass of the water (8 kg).
Q = (334 J/g)(8 kg) = 2672 J
To sum up, the total heat required to transform 8 kg of liquid water at 33 °C to ice at 0 °C, is equal to the heat required to lower the temperature + heat of fusion which is 10,347 J + 2672 J = 13,019 J
Learn more about heat:
https://brainly.com/question/1429452
What is the velocity of a football thrown?, when the mass of the football is 0.425 kg, and the momentum is + 10.1 kg.m/s?
The velocity of the football thrown is approximately 23.76 meters per second.
What is the velocity of the thrown football?Momentum is simply the product of the mass of an object and its velocity.
This is expressed as;
P = m × v
Where m is the mass of the object and v is its velocity.
Given that;
Momentum P = 10.1kgm/sMass m = 0.425kgVelocity v = ?Plug the given values into the above formula and solve for v.
P = m × v
v = P / m
v = 10.1kgm/s / 0.425kg
v = 23.76 m/s
Therefore, the velocity of the ball is 23.76 m/s.
Learn more about momentum: brainly.com/question/14952164
#SPJ1
if magnesium has 13 neutrons, what is its mass for the isotope
Answer:
25 I'm pretty sure sorry if I'm wrong
(a) the number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount of heat transfer is measured. how many kilocalories per gram are there in a 5.00-g peanut if the energy from burning it is transferred to 0.500 kg of water held in a 0.100-kg aluminum cup, causing a temperature increase? (b) compare your answer to labeling information found on a package of peanuts and comment on whether the values are consistent.
a)The 5.00 of peanut has 5.73 Kcal/g of energy.
b)On comparing our answer to the label on package of peanut , it is found that the values are approximately same, the variation is due to the quality of peanuts.
a)
Given,
mass of peanut = 5.00 g
mass of water = 0.500 kg
mass of aluminium cup = 0.100 kg
temperature change = \(54.9 \textdegree C\)
it is given that the heat from burning peanut is transferred to water and aluminium cup then,
the heat gained by water is \(Q_w=m_wC_w \Delta T\)
Where,
\(m_w\)= mass of water
\(C_w\)= specific heat of water i.e.4184 J/kg°C
\(\Delta T\)= change in temperature
\(Q_w\)\(=0.5*4184*54.9=1.15*10^5 J\)
Now, the heat gained by aluminum cup is\(Q_{Al}=m_{Al}C_{Al} \Delta T\)
Where,
\(m_{Al}\)= mass of aluminium cup
\(C_w\)= specific heat of water i.e.900J/kg°C
\(\Delta T\)= change in temperature
\(Q_{Al}=0.1*900*54.9=4.94*10^3J\)
then , the total heat gained by water and aluminium cup is
\(Q_T=(1.15*10^5)+(4.94*10^3)=1.20*10^5 J\)
So,\(Q_T\) is the heat transferred by burning of peanut to water and cup then the amount of heat for peanut will be same as \(Q_T\),
\(Q_T=Q_{peanut}=1.20*10^5 J=\frac{1.20*10^5}{4184}=28.6 Kcal\)
So, 5.00 g for peanut has 28.6 Kcal of energy then 1 g of peanut has \(\frac{28.6}{5}=5.73 Kcal.\)
Hence, the 5.00 of peanuts have 5.73 Kcal/g of energy
b)
When we compare our answer to the label on the peanut package, we discover that the values are nearly identical; the difference is due to the quality of the peanuts.
To learn more about heat gain refer here
https://brainly.com/question/17409328
#SPJ4
A total of 1,033 J of work is needed to lift a body of unknown mass through a height of 64 m. What is its mass? Round your intermediate step to one decimal place and the final answer to the nearest integer.
Answer:
m = 1.64 kg
Explanation:
Given that,
The work done to lift a body, W = 1,033 J
Height, h = 64 m
We need to find its mass. The work done in lifting the mass is given by :
\(W=mgh\\\\m=\dfrac{W}{gh}\\\\m=\dfrac{1033 }{9.8\times 64}\\\\m=1.64\ kg\)
Hence, the mass of the body is 1.64 kg.
An 8000 kg satellite is launched from the surface of the Earth into outer space. What initial kinetic energy is needed by the satellite in order to reach a great (i.e., infinite) distance from the Earth, neglecting the effects of air resistance in the atmosphere? (G = 6.67 × 10−11 N·m2/kg2, ME = 5.97 × 1024 kg, RE = 6.37 × 106 m.)
3.96 × 1011 J is the initial kinetic energy is needed by the satellite in order to reach a great (i.e., infinite) distance from the Earth, neglecting the effects of air resistance in the atmosphere.
In order to calculate the initial kinetic energy needed for the satellite to reach an infinite distance from Earth, we need to use the equation
K = 0.5\(mv^2\), where K is the kinetic energy, m is the mass of the satellite, and v is its velocity.
Using the given values of the satellite's mass (8000 kg) and the gravitational constant (6.67 × 10−11 N·m2/kg2), we can calculate the initial velocity needed:
v = √[(2GME)/RE] = √[(2 × 6.67 × 10−11 × 5.97 × 1024) / 6.37 × 106] = √[9.8 × 107] = 9.9 × 103 m/s
Using the velocity and mass values, we can calculate the initial kinetic energy needed for the satellite to reach an infinite distance from Earth:
K = 0.5\(mv^2\) = 0.5 × 8000 kg × (9.9 × 103)2 = 3.96 × 1011 J.
Therefore, the initial kinetic energy needed for the 8000 kg satellite to reach an infinite distance from Earth, neglecting the effects of air resistance in the atmosphere, is 3.96 × 1011 J.
To know more about kinetic energy refer here :
https://brainly.com/question/8101588
#SPJ11
Volcanoes often form belts along plate boundaries. How does the piece of art illustrate that this statement holds true for North America? explain.
Answer:
The formation of volcanic arcs, trenches and subsidence leads to the production of volcanic eruptions.
Explanation:
North America plate makes a convergent boundary along with the pacific oceans. The is man reason for the development of the volcanoes and the origin of the earthquakes. The collusion of both these pales leads to the formation of a volcanic ring of fire that can be seen in the pacific ocean.how can the movement of energy can be tracked by observing the changes the energy causes to matter
10 points
A 2.5 kg ball moving at 5 m/s collides with a 2.5 kg stationary ball in a perfectly elastic collision. What is the velocity of the second ball after the
collision?
7.5 m/s
10 m/s
2.5 m/s
5 m/s
Next
The velocity of the second ball that was hit by a ball of mass 2.5 kg moving with an initial velocity of 5 m/s is 5 m/s.
What is velocity?Velocity can be defined as the rate of change of displacement.
To calculate the velocity of the second ball after collision, we use the formula below.
Formula:
mu+MU = mv+MV............ Equation 1Where:
m = Mass of the first ballM = Mass of the second ballu = Initial velocity of the first ballU = Initial velocity of the second ballv = Final velocity of the first ballV = Final velocity of the secomnd ballFrom the question,
Given:
m = 2.5 kgM = 2.5 kgu = 5 m/sU = 0 m/s (at rest)v = - 5 m/s (rebound)Substitute these values into equation 1 and solve for V
(2.5×5)+(2.5×0) = 2.5(-5)+2.5V2.5V = 12.5+12.52.5V = 25V = 25/5V = 5 m/sHence, the velocity of the second ball is 5 m/s.
Learn more about velocity here: https://brainly.com/question/24445340
#SPJ1
An electron moves in an electric field. Does it move toward regions of higher potential or lower potential? explain.
The electric fields is always directed from higher potential to the lower potential.
An electron moves in an electric field. Does it move toward regions of higher potential or lower potential?
The electric fields always aiming from the region of higher potential to the region of lower potential. So the force of electrostatic and the direction of the travel of electrons will be always from lower potential to the region of higher potential.
An electric field is defined as the physical field which covers the electrically charged particles and also they can apply force on all other charged particles.
So we can conclude that the electric fields is always directed from higher potential to the lower potential.
Learn more about Electric Field here: https://brainly.com/question/26199225
#SPJ1
Emily walks 5 blocks east, 2 blocks north, 3 block west and then 2 blocks south in an hour. Her average velocity is ___ blocks/hours
Answer:
2 blocks/hours
Explanation:
(See the attachment for visual reference on direction & displacement)
Average velocity is total displacement over total time. It can be expressed mathematically as:
\(\displaystyle{\vec{v}_{\sf{average}} = \dfrac{\vec{s}_{\sf{total}}}{t_{\sf{total}}}}\)
Where \(\displaystyle{\vec{v}}\) is velocity and \(\displaystyle{\vec{s}}\) is displacement. Note that displacement means changes in position (final position - initial position)
Our initial position is at 0 blocks and then after travelling to the final destination, we see from the picture that it ends at position of 2 blocks. That can be calculated by subtracting 5 by 3 which will equal to 2 blocks.
Therefore:
\(\displaystyle{\vec{v}_{\sf{average}} = 2 \ \, \sf{blocks/hours}}\)
Emily walks 5 blocks east, 2 blocks north, 3 block west, and then 2 blocks south in an hour. Her average velocity is 2 blocks/hour.
To calculate Emily's average velocity, we need to find the total displacement (change in position) and then divide it by the total time taken.
Emily's total displacement can be found by summing the east-west and north-south components separately.
East-West displacement = 5 blocks east - 3 blocks west = 2 blocks east
North-South displacement = 2 blocks north - 2 blocks south = 0 blocks (no net movement)
Total displacement = √(East-West displacement)² + (North-South displacement)²
= √(2² + 0²)
= √4
= 2 blocks
Her total time taken is 1 hour.
Average velocity = Total displacement / Total time taken = 2 blocks / 1 hour = 2 blocks/hour
So, Emily's average velocity is 2 blocks/hour.
To know mroe about velocity:
https://brainly.com/question/34025828
#SPJ3
Which describes energy and work? *A. Only work is measured in joules."B. Energy remains constant when work is done.C. Work is a measure of how much energy a force transfers.D. When work is done on an object, no energy is transferred
Correct option is:- C) Work is a measure of how much energy a force transfers.
Can the sun explain global warming? ( 2 points) Suppose that the Earth has warmed up by 1 K in the last hundred years. i) How much would the solar constant have to increase to explain this? ii) Compare this to the observed fluctuation of the solar constant over the past 400 years (shown in class) For part (i), begin with the standard 'blackbody' calculation from class, that is: set α=0.30, and assume that the Earth acts as a blackbody in the infrared.
No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.
This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.
i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.
ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.
The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.
To know more about global warming :
brainly.com/question/29625243
#SPJ11
what are the roles of nutrient in our body
Answer:
Explanation:
roles of nutrient in our body
Building all parts of the body such as muscle, bone, teeth, and blood Producing energy (power and heat) Keeping the body in good working orderTo make a perfect pie dough, you must mix the ingredients until they are
O
O
assiduous
cohesive
coalition
abstract
The best pie crust is a perfect balance between fat, flour, and liquid. is
To make a perfect pie dough .
Why is it called pie?"Pie" was the word for a magpie before it was a word for a pastry, from the Latin word for the bird, Pica (whence the name of the disorder that makes you eat weird things). Pica morphed into "pie" in Old French, following the proud French tradition of actually pronouncing as few consonants as possible.
What is in pie?pie, dish made by lining a shallow container with pastry and filling the container with a sweet or savoury mixture. A top crust may be added; the pie is baked until the crust is crisp and the filling is cooked through.
To know more about energy visit
https://brainly.com/question/17858145
#SPJ1
The ideal proportion of oil, flour, and liquid goes into making the greatest pie crust. is to create the ideal pie dough.
How come it's called pie?Before it became a term for a baked food, "pie" was the Slang phrase for bird, Pix (whence the name of the disorder that makes you eat weird things). Following their noble French custom of genuinely speaking as few letters as possible, pica evolved into "pie" during Old French.
How is pie made?Pie is a dish that is created by lining the shallow dish with dough and filling it with either a sweet or spicy combination. Its pie is heated until the filling is heated all the way through and the top crust is crunchy.
To know more about energy visit
https://brainly.com/question/13881533
#SPJ1
A set of three resistors are set up in parallel. The resistor values are R1 = 3.0 Ohms, R2 = 11.0 Ohms, and R3 = 7.5 Ohms.
What is the total resistance of this circuit?
a
1.79 Ohms
b
0.60 Ohms
c
1.12 Ohms
d
2.97 Ohms
Answer:
A) 1.79ohms
Explanation:
Total resistance of resistors in parallel is given by ;
1/R = 1/R1 + 1/R2 +1/R3
Put in the values and make R the subject
General Gas Lavo gas has a pressure "P" and Yolume "V and The temperature 300k, the pressure is doubled at 1/4 at Constant Pressure final temperature of (b) 450k a) 600k. E) 150k the Jas TOJ BOOK solno یا and doubled at reducer volume determine, the (dl) 250k
The final temperature of the gas at reduced volume is 600K and final temperature of the gas at constant pressure is 450K.
Given the terms: General Gas Lavo gas has a pressure "P" and Volume "V" and The temperature 300k, the pressure is doubled at 1/4 at Constant Pressure final temperature of (b) 450k a) 600k. E) 150k the Jas TOJ BOOK solno یا and doubled at reducer volume determine, the (dl) 250kThe initial state of the gas is given as, Pressure P = P and Volume V = V at temperature T1 = 300KWhen pressure is doubled at constant volume, the final temperature of the gas becomes T2. According to the Gay-Lussac's law of constant pressure,T2/T1 = P2/P1where P1 is the initial pressure, T1 is the initial temperature and P2 is the final pressure.Since the volume of the gas is reduced to 1/4th of the initial volume V at pressure 2P, by Avogadro's law, the amount of gas remains constant. Hence, the temperature of the gas increases to T3. According to the Gay-Lussac's law of constant volume, P3/P1 = T3/T1 where P3 is the pressure of the gas at the final state and T3 is the final temperature of the gas. After doubling the pressure of the gas, the final pressure becomes P2 = 2P and temperature becomes T2 = 450K. Putting these values in the Gay-Lussac's law of constant pressure, we have,T2/T1 = P2/P1T2/300K = 2P/POn solving, we get P = 2.25P and T2 = 450K.After reducing the volume of the gas to 1/4th of the initial volume, the final pressure becomes P3 = 2P and final temperature becomes T3 = ? Putting these values in the Gay-Lussac's law of constant volume, we have,P3/P1 = T3/T1(2P)/P = T3/300KT3 = 2(300K) = 600K.
Learn more about constant pressure here :-
https://brainly.com/question/32904127
#SPJ11
List at least two metric units that you used during the measurement activity to represent volume
Two metric units that is used during the measurement activity to represent volume are m³ ( Cubic meter ) and L ( Litre )
Volume is the space occupied in a three dimensional space. The unit of volume is expressed in length cubed. Litre is used a measure of volume in terms of liquids. 1 litre = 1000 cm³.
Volume is used in different formulas such as:
Density = Mass / VolumePV =nRTV ∝ TV ∝ 1 / PTherefore, two metric units that is used to represent volume are m³ ( Cubic meter ) and L ( Litre )
To know more about Volume
https://brainly.com/question/22907480
#SPJ1
The escape velocity of a rocket from the earth is 11kms^-1. Taking the acceleration due to gravity as 9.8ms^-2, calculate the radius of the earth.
Answer:
6.37*10^6 m
Explanation:
We know that,
g = GM/R²
values given to us
acceleration due to gravity = g = 9.8 m/s²
Mass of the earth is= 6.4*10^24
G = 6.67*\(10^{-11}\)
implementing
9.8 = 6.67*10^-11 * 6*10^24/R^2
9.8 = 40.02 * 10^13/ R^2
R^2 = 4002/98 * 10^12
R^2 = 40.83* 10^12
R= 6.37*10^6 m (approximately)
Which item could you use in place of an ammeter to demonstrate that a
moving magnet causes an electric current to flow in a wire coil?
O A. A permanent magnet
B. A coil of aluminum wire
O c. A battery
O D. A lightbulb
Answer:
the answer is D
Explanation:
To test the flow of electric current through a circuit we can use a lightbulb. If a current is generated the bulb will light with brightness. Thus, option D is correct.
What is an ammeter?An ammeter is an electric device used to measure the current through a circuit. The current in ampere, milliampere or microampere is recorded by the ammeter through the deflection of its needle.
A magnetic field is always associated with an electric field where, the fields will be right angled to each other. A moving magnet in turn causes an electric current like a moving charge make an electric current.
To light a bulb electrical energy is needed. Thus, we can test the deflection in electric field using a a light bulb connected to the circuit. If there is a fine passage of electricity, the bulb will lighten. Thus, option D is correct.
To find more on electric field, refer here:
https://brainly.com/question/15800304
#SPJ5
Define the LAWS OF PHYSICS. State it out in full.
BRAINLIEST WILL BE GIVEN!!!!!!
Answer:
The laws of thermodynamics define a group of physical quantities, such as temperature, energy, and entropy, that characterize thermodynamic systems in thermodynamic equilibrium.
It takes many years for a photon produced in a star's centre to reach its surface and escape into space. This is due to its constant interaction with other particles. To estimate the time it takes for a photon to escape a star's interior, we assume that the photon is deflected in equal time intervals into a random direction in a two-dimensional space (i.e., a random walk):
At each step i, the photon moves a constant distance ε in an angle ϕi, thus changing its position:
∆~xi = ε (cos( ϕi) sin( ϕi) )
(a) Determine the distance R(n) from the centre (0,0) after n steps.
Assume that the step-distance ε is about 1.0 x 10^-4 m for a photon moving inside the Sun:
(b) How many steps does the photon need to reach the Sun's surface?
(c) Estimate the time it takes for the photon to escape into space (in years).
The amount of energy of a single photon of light is determined by its frequency.
The Planck-Einstein relation is a fundamental equation that describes the relationship between the energy (E) of a single photon of light and its frequency (f).
where h is Planck's constant, a physical constant with a value of approximately . This equation suggests that the energy of a photon is directly proportional to its frequency. In other words, photons with higher frequencies (such as those in the ultraviolet or x-ray parts of the electromagnetic spectrum) have more energy than those with lower frequencies (such as those in the infrared or radio parts of the spectrum).
The speed of the photon and the material it moves through can affect its wavelength and therefore its frequency, but they do not directly determine its energy. The time it takes the photon to reach a destination is not directly related to its energy either.
Learn more about photon here:
brainly.com/question/20912241
#SPJ1
A cartoon shows two friends watching an unoccupied car in free fall after it has rolled off a diff. One friend says to the other, "It goes from zero to sixty mphin about three seconds." Is this statement correct? (Note that 60 mph converts to 26.8 m/s.)
Answer:
The statement is not correct.
Explanation:
To know if the statement is correct, we shall determine the velocity of the car after 3 s. This is illustrated below.
Data obtained from the question include:
Initial velocity (u) = 0 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) = 3 s
Final velocity (v) =?
v = u + gt
v = 0 + (9.8 × 3)
v = 0 + 29.4
v = 29.4 m/s
Thus, the velocity of the car after 3 s is 29.4 m/s.
Hence, the statement made by the friend is not correct as the car has a falling velocity of 29.4 m/s after 3 s.
Electric potential differences are measured in _____.voltsjoulesnewtonscentimeters
The correct unit used to measure the electric potential difference is Volts.
Joules is used to measure energy.
Newtons is used to measure forces.
Centimeters is used to measure distance.
Therefore the correct option is the first one.
Can you please tell me the answer
Answer:
Explanation:
s=d/t
7.5 times 10^10/8.0 times 10^6=9.375 times 10^15
Hope this helps
You are playing catch in the front yard and your sister throws a football at you, then your neighbor throws a baseball at
you at the same speed.
Which ball has the greater momentum?
Someone please help me into what was the average speed for the entire trip thank you
From the position-time graph, we have the following:
Distance covered Time
0 to 28 m 0 to 20 seconds
28m to 52 m 20 to 60 seconds
At 52 m 60 to 80 seconds
52 to -20m 80 to 110 seconds
Let's find the average speed for the entire trip.
To find the average speed, apply the formula:
\(avg\text{ spe}ed=\frac{total\text{ distance}}{total\text{ time}}\)Distance at line 1: 28 - 0 = 28m
Distance at line 2: 52 - 28 = 24 m
Distance at line 3: 0 m
Distance at line 4: -20m - 52 = -72 m
Thus, we have the equation:
\(s=\frac{d_1}{t_1}+\frac{d_2}{t_2}+\frac{d_3}{t_3}+\frac{d_4}{t_4}\)Where:
d1 = 28 m
d2 = 24 m
d3 = 0 m
d4 = 72 m
t = 110 s
Now substitue values into the equation:
\(\begin{gathered} s=\frac{28}{20}+\frac{24}{40}+\frac{0}{20}+\frac{72}{30} \\ \\ s=4.4\text{ m/s} \end{gathered}\)Therefore, the average speed for the trip is 4.4 m/s.
ANSWER:
Equation:
\(s=\frac{d_1}{t_1}+\frac{d_2}{t_2}+\frac{d_3}{t_3}+\frac{d_4}{t_4}\)Substitution:
\(s=\frac{28}{20}+\frac{24}{40}+\frac{0}{20}+\frac{72}{30}\)Calculation:
\(\begin{gathered} s=1.4\text{ + }0.6\text{ + 0 + }2.4 \\ \\ s=4.4\text{ m/s} \end{gathered}\)PLEASE HELP!!Chemical reactions can be recognized by the presence of heat, light, or gas formation. The ultimate outcome for any chemical reaction is the
A. change from a solid to a liquid.
B. presence of sound.
C. formation of a new chemical substance.
Answer:
C
Explanation:
because it's new chemical substances
50m
2. Normie Neutron swings a rubber ball attached to a string over his head in a
horizontal, circular path. The piece of string is 1.5 m long and the ball makes 120
complete turns each minute.
a) What is the average velocity of the ball?
b) What is the ball’s centripetal acceleration?
The requried, a. average velocity = 9.42 meters/second and b. the ball's centripetal acceleration is 59.11 meters/second².
What is velocity?Velocity is defined as the rate of change in the position of an object with respect to time.
a) The average velocity of the ball can be found by dividing the total distance traveled by the time taken.
average velocity = total distance/time taken
average velocity = (3π meters/turn) x (120 turns/minute) x (1/60 minutes/second)
average velocity = 9.42 meters/second
b) The ball's centripetal acceleration is given by the formula a = v^2/r, where v is the velocity of the ball and r is the radius of the circular path.
a = v²/r
a = (9.42 m/s)² / 1.5 m
a = 59.11 m/s²
Therefore, the ball's centripetal acceleration is 59.11 meters/second².
Learn more about velocity here:
https://brainly.com/question/17127206
#SPJ1