What's new in June 2017

Utility: Dihybrid Punnett Square Maker

A Punnett Square is a visual representation of Mendelian inheritance. It is a table consisting of possible combinations of the parent alleles, which can be used to determine the probability of an offspring having a particular genotype for a given trait.

A monohybrid cross involves the crossing of parent alleles for a single trait and the resulting Punnett square lists the possible genotypes of the offspring for the given single trait.

A dihybrid cross involves the crossing of parent alleles for two independent traits and the resulting Punnett square is a 4x4 grid, which lists all possible allele combinations for the offspring describing the given two traits.

Mendel's law of independent assortment states that the alleles for separate traits are passed independently of one another from parents to offspring. The biological selection of an allele for one trait is not influenced by (or influences) the selection of an allele for any other trait. A dihybrid cross reaffirms Mendel's law of independent assortment.

This utility creates a dihybrid Punnett square based on the allele symbols entered by you for each parent, for two different traits.

Utility: Dihybrid Punnett Square Dice - Random Parent-Child Alleles Generator

A Punnett Square is a visual representation of Mendelian inheritance. It is a table consisting of possible combinations of the parent alleles, which can be used to determine the probability of an offspring having a particular genotype for a given trait.

A dihybrid cross involves the crossing of parent alleles for two independent traits and the resulting Punnett square is a 4x4 grid, which lists all possible allele combinations for the offspring describing the given two traits.

Mendel's law of independent assortment states that alleles for separate traits are passed independently of one another from parents to offspring. The biological selection of an allele for one trait is not influenced by (or influences) the selection of an allele for any other trait. A dihybrid cross reaffirms Mendel's law of independent assortment.

This random generator utility, like a dice, keeps regenerating the Punnett square with a new set of parents having different alleles each time for the two independent traits. Out of the sixteen possible allele combinations for the child, one allele combination is selected randomly. This is a great utility for the classroom or for projects, where you need to create data for Mendelian inheritance.

DIY Newton's Second Law - Modified Atwood Machine 2 (with friction)

Newton's second law can be summed up as:
Σ Force = mass x acceleration
Accordingly, a net force acting on an object will cause it to accelerate in the direction of the net force.

This interactive features a modified Atwood machine having two masses (objects) connected by a string, which is moving over a pulley. Object A rests on a surface, while Object B hangs freely. Since the two objects are connected by a taut string, both experience the same acceleration arising due to the net force acting on each object.

To begin with, object A can move only if: |WaX| - |T| > FS
Where, T is the tension (force) in the string; WaX is the component of the weight of object A along the direction of the surface, when inclined; FS is the static friction (force) between object A and the surface on which it rests.

If object A is moving, there are two possibilities:
(1) If |T| > |WaX|, then summation of forces, with sign:
Σ Fa = T - WaX - FK = ma . a (object A moves right)

(2) If |T| < |WaX|, then summation of forces, with sign:
Σ Fa = T - WaX + FK = ma . a (object A moves left)
FK is the kinetic friction (force) between object A and the surface, always acting opposite to the direction of motion.

Net force (with sign) on object B in both cases is:
Σ Fb = Wb - T = mb . a

DIY Sonar - Mapping Underwater Depth 2 (with depth adjustment)

Sonar (SOund Navigation And Ranging) is a technique that uses propagation and reflection of sound waves to navigate or detect objects, usually under water.

An active sonar uses a transmitter to create a pulse of sound (called ping), which propagates through water and gets reflected (echo) when it hits an obstruction. The total time taken for transmission and reflection of the ping indicates the distance of the obstruction from the sonar transreceiver.

This interactive lets you specify heights of some cement columns constructed at the base of a shallow lake. A drone submarine fitted with a sonar device then moves below the lake surface and uses sound pulses (pings) to determine the depth of each cement column below the surface of the water.

The velocity of sound in water is approximately 1500 m/s. The duration of the ping echo is measured in milliseconds, where 1 second = 1000 milliseconds (ms).

For example, if the total travel time taken to transmit and receive a ping is 9.334 ms, the distance would be:
Distance = Velocity x Travel Time = 1500 x (9.334/1000) = 14 m
Since the ping travels to the object and is reflected back, it travels twice the distance, hence the actual distance up to the object is half the distance traveled by the ping.
Actual Distance = Ping Distance/2 = 14/2 = 7 m

DIY - Ideal gas law - Effect of moles of gas on its volume based on Avogadro's law

This interactive investigates the effect of the change in the amount (moles) of gas on the volume of gas in an enclosed container, with temperature and pressure remaining constant.

In this case, it is assumed that the relationship between volume, pressure, moles, and temperature of the gas is governed by the ideal gas law, PV = nRT.

The relationship between the amount (moles) and the volume of gas is described by Avogadro's law, which states that the volume and the amount of gas are directly proportional if the temperature and pressure are held constant.

The activity involves changing the amount (moles) of an ideal gas over time to observe the corresponding change in volume, for a given constant temperature and constant pressure. Compare the effect of a gradual increase in the moles of gas on its volume across two trials.

DIY PE-KE Energy Conversion 1 - Roller Coaster

Gravitational potential energy (GPE) is the energy stored in an object due to its position in a gravitational field.
GPE = m.g.h
The gravitational potential energy possessed by an object is determined by its mass (m), the gravitational acceleration (g) at the location and the height (h) of the object above a reference baseline (usually surface of the earth, but not necessarily), which is considered to be at height = 0.
Kinetic energy (KE) is the energy of an object due to its motion.
KE = ½ m.v2
The kinetic energy of an object is independent of the position and depends on the mass (m) and the rate of change of position of the object i.e. its velocity (v).

Energy can be converted from one form to another. For e.g, in the case of a ball falling from a height, its potential energy converts into kinetic energy as the ball continues to fall down (assuming effects of friction are negligible).

This interactive investigates the effect of mass and height on the potential energy of a roller coaster car and how it converts into kinetic energy as it glides down the track. The activity consists of two trials, where you can set the mass and height of a roller coaster for each trial and compare the conversion of potential energy to kinetic energy between the two trials.

DIY PE-KE Energy Conversion 2 - Roller Coaster on Different Planets

Gravitational potential energy (GPE) is the energy stored in an object due to its position in a gravitational field.
GPE = m.g.h
The gravitational potential energy possessed by an object is determined by its mass (m), the gravitational acceleration (g) at the location and the height (h) of the object above a reference baseline (usually surface of the earth, but not necessarily), which is considered to be at height = 0.
Kinetic energy (KE) is the energy of an object due to its motion.
KE = ½ m.v2
The kinetic energy of an object is independent of the position and depends on the mass (m) and the rate of change of position of the object i.e. its velocity (v).

Energy can be converted from one form to another. For e.g, in the case of a ball falling from a height, its potential energy converts into kinetic energy as the ball continues to fall down (assuming effects of friction are negligible).

This interactive investigates the effect of mass and height on the potential energy of a roller coaster car and how it converts into kinetic energy as it glides down the track. You can also conduct an imaginary experiment to investigate effect of gravitation acceleration (g) by transporting the roller coaster to either the Moon or the planet Mars. You can even go to a fictitious planet whose value of g can be set by you.

Homeostasis - Effect of Water Temperature on Goldfish Respiration Rate

Homeostasis is the ability of an organism to maintain a stable internal environment despite changes in the external environment. Some examples of homeostasis include the regulation of the organism's body temperature, the pH of its extracellular fluids, glucose concentration, etc.

The domestic goldfish (Carassius auratus), like most fishes, are poikilothermic, which means its body temperature changes with the ambient temperature of the water around it. One way by which a goldfish responds to the changes in the ambient temperature by regulating its rate of respiration (breathing).

This interactive investigates the effect of the temperature of the surrounding water on the respiration rate of a goldfish. The activity involves reducing the temperature of the water very gradually, in steps of 1°C at a time. The temperature is then held constant until the goldfish has regulated and stabilized its respiration rate in response to the new ambient temperature.

The goldfish's rate of respiration can be determined by either counting the number of times the fish opens and closes its mouth or by counting the number of times its gills contract during a given unit of time.

What's new in May 2017

Utility: Monohybrid Punnett Square Dice - Random Parent-Child Alleles Generator

A Punnett Square is a visual representation of Mendelian inheritance. It is a table consisting of possible combinations of the parent alleles, which can be used to determine the probability of an offspring having a particular genotype for a given trait.

A monohybrid cross involves crossing of the parent alleles for a single trait and the resulting Punnett square lists the possible genotypes of the offspring for the given single trait.

This random generator utility, like a dice, keeps regenerating the Punnett square with a new set of parents having different alleles each time. Out of the four possible allele combinations for the child, one set of alleles is selected randomly. This is a great utility for the classroom or for projects, where you need to create data for Mendelian inheritance.

DIY Newton's Second Law - Modified Atwood Machine 1 (no friction)

Newton's second law can be summed up as:

Σ Force = mass x acceleration

Accordingly, a net force acting on an object will cause it to accelerate in the direction of the force.

This interactive features a modified Atwood machine having two masses (objects) connected to each other by a string, which is moving over a pulley. One of the masses (object A) rests on a surface, while the other one (object B) hangs freely. The string and the pulley are assumed to be massless and frictionless. The surface over which object A is moving is also considered to be frictionless.

Since the two objects are connected by a taut string, both experience the same acceleration arising due to the net force acting on each object.

Σ Fa = WaX + T = ma . a
Σ Fb = Wb + T = mb . a
Where, T is the tension in the string, and WaX is the component of the weight of object A along the direction of the surface, when inclined. If WaX>T, object A will accelerate towards left. If T>WaX, object A will accelerate towards right.

DIY Sonar - Mapping Underwater Depth 1

Sonar (SOund Navigation And Ranging) is a technique that uses propagation and reflection of sound waves to navigate or detect objects, usually under water.

An active sonar uses a transmitter to create a pulse of sound (called ping), which propagates through water and gets reflected (echo) when it hits an obstruction. The total time taken for transmission and reflection of the ping indicates the distance of the obstruction from the sonar.

This interactive lets you specify heights of some cement columns constructed at the base of a shallow lake. A drone ship fitted with a sonar device then moves through the lake and uses sound pulses (pings) to determine the depth of each cement column below the surface of water.

The velocity of sound in water is approximately 1500 m/s. The duration of the ping echo is measured in milliseconds, where 1 second = 1000 milliseconds (ms).

For example, if the total travel time taken to transmit and receive a ping is 9.334 ms, the distance would be:
Distance = Velocity x Travel Time = 1500 x (9.334/1000) = 14 m
Since the ping travels to the object and is reflected back, it travels twice the distance, hence the actual distance up to the object is half the distance traveled by the ping.
Actual Distance = Ping Distance/2 = 14/2 = 7 m

DIY Simple Electric Circuit Building Challenge 1 - Series Circuit

This interactive consists of five challenges, which require you to build a simple electric series circuit according to the given requirements. Each challenge involves two steps:

Step 1
Build the circuit by connecting the devices mentioned in the question. Once the circuit is complete, click the DONE button. If the circuit is correct, proceed to step 2, else click TRY AGAIN and modify the circuit.

Step 2
If the circuit includes one or more switches, click on each switch and observe how the circuit works.

DIY Simple Electric Circuit Building Challenge 2 - Parallel Circuit

This interactive consists of five challenges, which require you to build a simple electric parallel circuit according to the given requirements. Each challenge involves two steps:

Step 1
Build the circuit by connecting the devices mentioned in the question. Once the circuit is complete, click the DONE button. If the circuit is correct, proceed to step 2, else click TRY AGAIN and modify the circuit.

Step 2
If the circuit includes one or more switches, click on each switch and observe how the circuit works.

Utility: Monohybrid Punnett Square Maker

A Punnett Square is a visual representation of Mendelian inheritance. It is a table consisting of possible combinations of the parent alleles, which can be used to determine the probability of an offspring having a particular genotype for a given trait.

A monohybrid cross involves crossing of the parent alleles for a single trait and the resulting Punnett square lists the possible genotypes of the offspring for the given single trait.

This utility creates a monohybrid Punnett square based on the allele symbols entered by you for each parent.

Effect of drag coefficient on objects falling in air - 1

Terminal Velocity - An object falling through atmosphere (air) is subjected to two external forces. One is the weight of the object (gravitational force). The other force is air resistance, also known as drag. For a falling object, its weight acts in the direction of the fall, whereas drag acts in the opposite direction. Hence, drag is a type of frictional force where air offers resistance to the motion of the object.

Drag increases with the square of velocity. If velocity keeps increasing, drag keeps increasing too, until it becomes equal to the weight of the object. When drag is equal to weight, there is no net external force on the object and the vertical acceleration reduces to zero. With no acceleration, the object falls with a constant vertical velocity, called as the terminal velocity.

This activity investigates effect of drag coefficient of an object falling through air. The drag coefficient is largely determined by the shape of the object.

The activity consists of two trials, featuring four geometric solids made up of aluminum and having the same mass and frontal area. The first trial involves dropping an aluminum sphere and cuboid from a hot air balloon at a specific height above ground.

DIY - Ideal gas law - Effect of moles of gas on exerted pressure

This DIY interactive investigates the effect of change in the amount (moles) of gas on the pressure it exerts in an enclosed container, with temperature and volume remaining constant.

In this case, it is assumed that the relationship between volume, pressure, moles and temperature of the gas is governed by the Ideal Gas Law, PV = nRT.

The activity consists of two trials, each involving a gas in an enclosed cylinder whose moles change over time to observe the corresponding change in pressure. For each trial, you can specify the values of constant temperature, constant volume and the starting number of moles.

Note: The interactive includes a simplified model of motion of gas molecules, where pressure can be thought of as the aggregation of collisions of the molecules on the walls of the cylinder and the piston, such that more the collisions, higher the pressure exerted by gas, and vice versa. The speed of molecules is governed by temperature, such that higher the temperature, greater the speed of the gas molecules.

Good News! We are doing better in Science, and what's coming in October 2016

The Nation’s Report Card on Science is out. The average NAEP science scores for the nation increased 4 points between 2009 and 2015 in both grades 4 and 8, but did not change significantly at grade 12. Scores for most student groups at grades 4 and 8 were higher in 2015 compared to 2009, but were not significantly different at grade 12. At grades 4 and 8, Black and Hispanic students made greater gains than White students, causing the achievement gap to narrow in comparison to 2009. 

Compared to 2009, scores were higher at grades 4 and 8 in all three science content areas (physical science, life science, and Earth and space sciences) in 2015, while there were no significant changes in content area scores at grade 12. Read more.

This month on prepmagic.com we will see the following new interactives.

Rocket Propulsion and Newton’s Laws of Motion

  • Explore how Newton's third law explains the generation of thrust by a rocket engine and how Newton's second law describes the acceleration of the rocket due to the thrust generated.

NGSS: Physical Sciences HS-PS2-1. Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. HS-PS2-2. Use mathematical representations to support the claim that the total momentum of a system of objects is conserved when there is no net force on the system.

Effect of gravitational acceleration on projectile motion

  • Explore the effect of gravitational acceleration (g) on the projectile trajectory including popular phenomena such as fired bullet versus falling bullet, shoot the monkey, etc.

NGSS: Physical Sciences HS-PS2-1. Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. HS-PS2-2. Use mathematical representations to support the claim that the total momentum of a system of objects is conserved when there is no net force on the system.

Lift on an airplane - 2

  • Compare the lift generated in different types of aircrafts, varying in terms of size, load and propulsion systems.

NGSS: Physical Sciences HS-PS2-1. Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. HS-PS2-2. Use mathematical representations to support the claim that the total momentum of a system of objects is conserved when there is no net force on the system.

Potential Energy of a Chemical Reaction

  • Investigate how the difference in the potential energy of the reactants and the products determine whether the reaction is exothermic or endothermic in nature.

NGSS: Physical Sciences HS-PS1-4. Develop a model to illustrate that the release or absorption of energy from a chemical reaction system depends upon the changes in total bond energy.

Enthalpy of neutralization reaction

  • Investigate the enthalpy of neutralization, which is the change in heat content of the system that occurs when an acid and a base undergo a neutralization reaction to form water and a salt.

NGSS: Physical Sciences HS-PS1-4. Develop a model to illustrate that the release or absorption of energy from a chemical reaction system depends upon the changes in total bond energy.

Half-life of a Radioactive Substance

  • Understand the concept of half-life by comparing the decay process across a set of radioactive isotopes.

NGSS: Physical Sciences HS-PS1-8. Develop models to illustrate the changes in the composition of the nucleus of the atom and the energy released during the processes of fission, fusion, and radioactive decay.

Radioactive Decay Series

  • Explore the effects of emission of an alpha particle or a beta particle and the resulting decay chain for radioactive elements - thorium, neptunium and actinium.

NGSS: Physical Sciences HS-PS1-8. Develop models to illustrate the changes in the composition of the nucleus of the atom and the energy released during the processes of fission, fusion, and radioactive decay.

Periods and Groups - Property Trends

  • Explore and compare the trends exhibited for different physical and chemical properties across periods and groups in the periodic table.

NGSS: Physical Sciences HS-PS1-1. Use the periodic table as a model to predict the relative properties of elements based on the patterns of electrons in the outermost energy level of atoms.

Homeostasis - Effect of Nicotine on Heart Rate

  • Investigate the effect of nicotine on the heart rate of Daphnia magna.

NGSS: Life Sciences HS-LS1-3. Plan and conduct an investigation to provide evidence that feedback mechanisms maintain homeostasis.