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.

Welcome 2016 and what should you expect this month on Prepmagic

Wish you a very happy new year from the prepmagic.com team. The big news! The new year has been fantastic for the four who made it to the most elite club in the universe, 'the periodic table'. You can read more about it here.

Wanted to share our new year resolution with you. We will be sending you, at the beginning of the month, the list of what to expect in the month on prepmagic.com. This will be our commitment to you.In this month, we will be adding interactive simulations on acids and bases, solutions, gases, and energy in Chemistry. In Biology, we will have heredity, life functions, and ecosystems. Physics will see electrostatics and momentum. Check out our detailed list for January below.

CHEMISTRY

Solutions

Moles & Molarity - Series of interactives demonstrating:

  • Concept of a mole and how it relates to atomic mass
  • Molarity of a solution, based on moles of solute and volume of solvent
  • Diluting a solution

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Cause and effect, CCC - Scale, proportion, and quantity, PS1 - Matter and its interactions.

Acids & Bases

Acid-Base Titration - Series of interactives on

  • Acid-base titration for exploring reaction between acids and bases, based on strength, molarity and pH value.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Cause and effect, CCC - Scale, proportion, and quantity, PS1 - Matter and its interactions.

Gases

Gas Laws - Series of interactives demonstrating

  • behavior of gases and the relationship between pressure, volume and temperature using Boyle’s Law, Charles’ Law and the ideal gas equation.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Cause and effect, CCC - Scale, proportion, and quantity, CCC - Energy and matter, PS1 - Matter and its interactions

Energy

Heating, Temperature & Phase Change - Interactives to

  • investigate the process of heating and phase change using heating curves and to understand the concept of specific heat capacity and molar heat of fusion and vaporization.

Calorimetry - Series of interactives involving

  • use of calorimeter to monitor energy changes due to specific heat, molar heat of fusion and vaporization, heat of solution and to measure energy content of common food items.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Cause and effect, CCC - Scale, proportion, and quantity, CCC - Energy and matter, PS1 - Matter and its interactions, PS3 - Energy.

BIOLOGY

Life Functions

Homeostasis - Interactives investigating

  • regulation of body temperature exhibited by endotherms, ectotherms and homeotherms.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Cause and effect, CCC - Structure and function, CCC - Stability and change, LS1 - From molecules to organisms: Structures and processes

Heredity

Mendelian Inheritance - Interactives exploring

  • inheritance patterns based on Mendel's laws of heredity.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Patterns, CCC - Cause and effect, LS3 - Heredity: Inheritance and variation of traits.

Ecosystem

Population Growth - Interactives to interpret

  • a population growth curve and understand the carrying capacity of populations.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Patterns, CCC - Cause and effect, CCC - Stability and change, LS2 - Ecosystems: Interactions, energy, and dynamics.

PHYSICS

Electrostatics

Coulomb's Law - Series of interactives demonstrating that

  • electrostatic force between two point charges is a function of their magnitudes and the distance separating the two, as given by Coulomb's Law.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Cause and effect, CCC - Scale, proportion, and quantity, PS2 - Motion and stability: Forces and interactions.

Momentum

Elastic Collisions - Interactives showing that

  • linear momentum is the product of mass and velocity, and is conserved during an elastic collision along with the conservation of kinetic energy.

NGSS: SEP - Developing and using models, SEP - Planning and carrying out investigations, SEP - Analyzing and Interpreting Data, CCC - Patterns, CCC - Cause and effect, CCC - Stability and change, PS2 - Motion and stability: Forces and interactions.