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Category: Science Homework

What Experiment Have 3 Types of Variables?

Tuesday, September 7th, 2010

Solution:

A scientific experiment has three types of variables: independent, dependent and controlled. Please click on this link to get details: http://www.sciencebuddies.org/mentoring/project_variables.shtml.

Little Nero is a lost neurotransmitter who just found himself atop a receptor of the receiving dendrite and needs to get his charge to the neighboring neuron…i need detailed instructions to Little Nero so he is able to reach a successful action potential??

Saturday, July 24th, 2010

Solution:

First some definitions:

A neuron is an electrically excitable cell that processes and transmits information by electrochemical signaling. On one end of the neuron are the dendrites (receiving end) and the other end is the transmitting end (axon terminal).

Synapse: One neuron connects to another neuron when the dendrite of one is connected to the axon terminal of the other. This connection is called a synapse.

Dendrites are the branched projections of a neuron that act to conduct the electrochemical stimulation received from other neural cells to the main part of the neuron from which the dendrites project. Dendrites form the main receiving part of neurons. Dendrites collect and funnel these signals to the soma and axon.

A neurotransmitter is a chemical that is released from a neuron.

Synaptic Cleft: The tiny space between two nerve cells across which the neurotransmitter diffuses

Receptor: Neurotransmitters cross the synapse where they may be accepted by the next neuron at a specialized site on a dendrite called a receptor.

Here are the detailed instructions for the “lost” neurotransmitter:

  • You are currently on the receptor of a dendrite
  • To get to the next neuron in the chain, you must travel the length of the neuron you are current on
  • Travel across the dendrite
  • Travel across the soma
  • Travel down the entire length of the axon
  • Travel across the axon terminal
  • At the synaptic cleft, bind with receptor sites on the neighboring neuron’s dendrite

Find the critical numbers of f (x) = x^2-6x. Find also the open intervals on which the function is increasing or decreasing and locate all relative extrema.

Saturday, July 24th, 2010

Solution:

A number a in the domain of a given function f is called a critical number  ‘(a) = 0 or f ‘ is undefined at x = a.

Relative extrema are the minimums or maximum points on a part of a curve, while absolute extrema are the minimums and maximum points along the entire curve.

Now we are looking at the following curve:

f (x) = 

To find the extrema, we take the first derivative and figure out at what value of x, the first derivate of the function equals to zero:

f’(x) = 2x-6

f’(3) = 0

As you can see the function is decreasing from negative infinity to 3, and increasing from 3 to infinity. The critical number is 3. There is only one relative (or local) minimum at (3, -9).

What is law of motion?

Friday, July 23rd, 2010

Solution:

  1. http://en.wikipedia.org/wiki/Laws_of_motion (Newton, Kepler, etc.)
  2. http://www.schooltrainer.com/study-material.html (look at the left column under the heading Physics”)

What is the dimension of amount of a substance?

Friday, July 23rd, 2010

Solution:

In the physical sciences, the amount of a sample is often given in terms of moles (i.e. Avogadro’s number, or 6.02214179 x 1023):

A particle is trapped in an infinite one-dimensional well of width 0.132nm. The electron is in the n=10 state. A) What is energy of the electron? B) What is the uncertainty in its momentum?

Friday, July 23rd, 2010

Solution:

A 925 N crate is being pushed across a level floor by a force of 325 N at an angle of 25 degrees above the horizontal. The coefficient of kinetic friction is 0.25. Find the magnitude of the acceleration of the crate.

Friday, July 23rd, 2010

Solution:

First, let’s define what a Newton (N) is: “The Newton (N) is defined as the amount of force that, when acting on a 1 kg mass, produces an acceleration of 1 m/s/s (one meter per second per second). Therefore, 1 N = 1 kg =D7 1 m/s/s.”

The force of friction opposing the 325 N force is .25 * 925 N (which is equal to 231.25 N). The force pulling the crate is 325 N * cos(25), i.e. 294.55 N. (This is the component of force acting parallel to the floor.)

Take the difference between these two and you will have the net force pulling the crate (which is 63.3 N). Using Newton’s equation F = ma, you will find the acceleration by dividing the net force by the mass of the crate (the mass is 925 =/(one standard gravity [9.80665 m/s/s], or 94.32 kg). The acceleration is therefore 63.3 N / 94.32 kg, which equals 0.671 m/s/s.

Elastic collision of unequal masses

Thursday, July 22nd, 2010

You roll a basketball and a bowling ball directly towards each other at the same speed. Predict what will happen to each after the two collide.

Solution:

Let’s assume that this is an “elastic collision of unequal masses” (see http://en.wikipedia.org/wiki/Elastic_collision, which will help you visualize this). Let’s also assume that the weight of the basketball is 1 pound and the weight of the bowling ball is 2 pounds, and that the basket ball is traveling from east to west at a speed (v) of 9 miles per hour, and the bowling ball is traveling west to east at 9 miles per hour.

After the collision the bowling ball reverse direction and travel at 3 miles per hour, and the basketball will reverse direction and travel at 15 miles per hour.

What is inside a flower?

Thursday, July 22nd, 2010

Soluton:

We found the following picture of what’s inside a flower at

http://www.eduplace.com/science/hmxs/ls/pdf/2rs_1_3-3.pdf

What experiment have 3 types of variables?

Monday, July 19th, 2010

Solution:

Scientific experiment has three types of variables: independent, dependent and controlled.

Please click on this link to get details:

http://www.sciencebuddies.org/mentoring/project_variables.shtml