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aleksandr82 [10.1K]
3 years ago
8

Two rods, with masses MA and MB having a coefficient of restitution, e, move along a common line on a surface, figure 2. a) Find

the general expression for the velocities of the two rods after impact. b) If mA = 2 kg, m3 = 1 kg, Vo= 3 m/s, and e = 0.65, find the value of the initial velocity v4 of rod A for it to be at rest after the impact and the final velocity vB of rod B. c) Find the magnitude of the impulse for the condition in part b. (3 marks) d) Find the percent decrease in kinetic energy which corresponds to the impact in part b.​

Engineering
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

A.) Find the answer in the explanation

B.) Ua = 7.33 m/s , Vb = 7.73 m/s

C.) Impulse = 17.6 Ns

D.) 49%

Explanation:

Let Ua = initial velocity of the rod A

Ub = initial velocity of the rod B

Va = final velocity of the rod A

Vb = final velocity of the rod B

Ma = mass of rod A

Mb = mass of rod B

Given that

Ma = 2kg

Mb = 1kg

Ub = 3 m/s

Va = 0

e = restitution coefficient = 0.65

The general expression for the velocities of the two rods after impact will be achieved by considering the conservation of linear momentum.

Please find the attached files for the solution

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There are two halves of scarcity that have plagued us ever since we first set foot on this Earth:

Limited resources.
Unlimited wants.
The Economics of Seinfeld says the following regarding the term:

“Unlimited wants essentially mean that people never get enough, that there is always something else that they would like to have.”

“When combined with limited resources, unlimited wants result in the fundamental problem of scarcity.”

Unlimited wants – limited resources

What we want and need has no limit, i.e., it is infinite. However, what we can afford is finite, i.e., it has a limit. This is a basic condition of human existence.

We are never completely satisfied with everything we consume. We consume a variety of goods and services, but they are never enough.

In other words, there is always something else that I, you, or anybody else would want or need.

The term applies to all socioeconomic groups. Low-income groups have limited resources, and their wants always exceed those resources. However, the same happens with middle-income and upper-income groups. They never feel they have enough.

The reason is a very simple one. Every income group’s resources are finite. However, unlimited want is a feature of every human.

Put simply; our wants and needs are infinite, but our wealth is not.

The economic problem – unlimited wants

‘The economic problem‘ is a term that economists use. It states that the finite resources of an economy are not enough to satisfy all our wants and needs. We also call it ‘the central economic problem‘ or ‘the basic economic problem.’

The main question we ask when considering ‘the economic problem’ is: “How do we satisfy unlimited wants with limited resources?”

As we cannot produce everything, we have to prioritize. We must decide what to produce, how to produce it, and how much to produce. We must also determine for whom to produce.

Human wants are constant and infinite, but the resources to satisfy them are finite. The resources cannot exceed the amount of human and natural resources available.

We produce things that we know people want, as long as we have the resources to make them. How strong or weak demand is determines how much we charge for those things. It also determines how much we produce (supply).

In other words, markets fores, i.e., the forces of supply and demand, in a free market economy, determine prices.

Wants vs. needs

Needs are things without which we cannot survive. Wants are things we desire. However, we can survive without those wants.

Food, water, and housing, for example, are needs. Clothing is also a need. Without food or water, we would die. We would probably die too without housing. In cold countries, we would not survive without clothing.

A nice car, smartphone, and vacation by the beach are wants. If I don’t have a nice car, I will still live. If I don’t go to Cancun for my winter break, I won’t die. However, I want these things.

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We can say either ‘unlimited wants’ or ‘unlimited wants and needs.’

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Tools for forming aluminum tray
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Answer:

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Please look at the solution in the attached Word file

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The Double.parseDouble() method requires a String argument, but it fails if the String cannot be converted to a floating-point n
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Answer:

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  2. public class TryToParseDouble {
  3.    public static void main(String[] args) {
  4.        Scanner input = new Scanner(System.in);
  5.        double num;
  6.        try{
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Explanation:

Firstly, create a Scanner object to get user input (Line 5).

Next, create a try block and prompt user to input a number and use Double.parseDouble() method to convert the input to double type in the block (Line 8-10).

Next, create a catch block to catch a NumberFormatException. In the Catch block, set the num to zero and then print out a message to inform user about the invalid input (Line 12-14).

Lastly, display the number (Line 16).

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