# college physics

Thanks
Larry King
1) Suppose that in a certain atmospheric situation, a falling raindrop, having an initial mass of 0.010g. collects smaller droplets by collision at such a rate that, after 10s, it has a mass of 0.020g g and a diameter of 3.4 mm.
(a) If the droplet continues to gain mass at the same average rate as it continues to fall, what will its diameter at the end of the next 10 s? (Using a scale and ratio reasoning, not substitution in formulas, and explain what you are doing.)
(b) If 3.4 mm a reasonable or unreasonable order of magnitude for the diameter of a droplet with a mass of 0.020g? ( Make a crude, quick estimate- not an elaborate calculation- and explain your reasoning)

2 ) A statue is to be scaled down, without distorting its shape, by changing its total volume from 1.25m3 . Explain your reasoning in each of the following calculations.
(a) If the height of the original statue is 250cm, calculate the height of the smaller model.
(b) If the circular base of the original statue has a circumference of 45 cm, calculate the circumference of the scaled-down base in the smaller model.
(c) How will the total surface area of the model compare (this means an appropriate ratio) with the total surface area of the original? How will the surface areas of the circular bases compare?
(d) If both the model and the original are made of the same material, how will the mass of model compare with mass of the original?
(e) If the model and the original are not made of the same material, what would you have to know about the materials to be able to compare the masses, and how would you use this information?
(f) If the original statue and the model turned out to have the same mass, what would you conclude about the materials making up the two objects? (Give a numerical answer comparing relevant properties of the materials.)

2) As a first approximation, let us think of an older person O as being a larger scale model of a younger person Y, with lengths in all parts of the body increased by the same scale factor. Suppose the weight of O is 4.50 times the weight of Y.

(a) If height of O is 6.0 ft, what must be the height of Y?

(b) How will the cross-sectional area at some level in the legs of the older person compare with the cross-sectional area at the corresponding level in the legs of the younger?

(c) Will the compressional stress on the leg bones be the same in the two individuals? (“Stress” is the name for the force per unit area that the bone must support.) Why or why not? If not, for which individual will the stress be greater? By what numerical factor? It is because of the effect that emerges in the analysis you have just conducted that larger animals are, in reality in the world around us, not simply scaled-up models of smaller animals. Explain the reasoning behind this statement.

1. 👍
2. 👎
3. 👁
1. me also.

1. 👍
2. 👎
👤
bobpursley

## Similar Questions

1. ### Math

Suppose you are driving to visit a friend who lives far away. You are driving at an average rate of 55 miles per hour. You must drive a total of 295 miles. If you have already driven 20 miles, how long will it take you to reach

2. ### Similes

Complete each sentence with a simile. His tail wagged like..... the old man petted him as tenderly as he would...... Like, can someone please help me with these two. It's driving me crazy! thank you,

3. ### mathematics

Suppose you conduct an experiment in which you draw a single card from a standard deck of 52 cards. Which events are mutually exclusive? Select all that apply. choosing a card that is an ace and a four choosing a card that is a

4. ### math

The equation y = 1.6x represents the number of laps Henry can swim over time, where y is the number of laps and x is time in minutes. The table shows the number of laps Larry can swim over time. How many laps can each boy complete

1. ### Math

Suppose you driving to visit a friend in another state. you are driving at an average rate of 50 miles per hour. You must drive a total of 345 miles. If you have already driven 145 miles, how long will it take you to reach your

2. ### Literature

1. What is the BEST statement of Alice Walker's main idea in "Choice?" a. Dr.King fought valiantly to the day he died b. Dr.King restored "home" to the dispossessed c. Dr.King had a clear conscience d. Dr.King gave moving sermons

3. ### Enghlish

What is the main idea of the story of Morte d’Arthur by Sir Thomas Malory? King Arthur shows himself to be an unjust ruler. King Arthur is mortally wounded in a battle with his mortal enemy Sir Mordred. King Arthur creates the

4. ### physics help

Larry weighs 300 N at the surface of the earth. what is the weight of the earth in the gravitational field of Larry? -would it still be 300 N

1. ### math

Suppose you are driving to visit a friend in another state. you are driving 60 miles per hour. you must drive 480 miles total . if you have already driven 120 miles , how long will it take you to reach your destination? a. 2 hrs

2. ### Physics

Larry leaves home at 9:03 and runs at constant speed to the lamppost(200 yards from the start). He reaches the lamppost at 9:07, immediately turns, and runs to the tree(1200 yards from the start). Larry arrives at the tree at

3. ### math

If Larry worked 411/2 hours this week and spent 1/3 of his time hauling material, how much actual time did Larry spend hauling

4. ### American Government

In this extract from the federalist papers, Alexander Hamilton most likely use a comparison between the president of the united states and the king of Great Britain to show * that the president is just as powerful as the king. *