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stiv31 [10]
3 years ago
5

A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done i

n stretching it from 30 to 40 cm. (Use k for the spring constant) How are W2 and W1 related?
Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Answer:

W₂ is three times W₁ (W₂ = 3W₁)

Step-by-step explanation:

Applying,

W = ke²/2............. Equation 1

Where W = workdone in stretching the spring, k = spring constant, e = extension.

For W₁,

W₁ = ke₁²/2

Given: e₁ = 30-20 = 10 cm = 0.1 m

Substitute these value into equation 1

W₁ = k(0.1²)/2

W₁ = 0.005k Joules

For W₂,

W₂ = (ke/2)-W₁

Given: e = (40-20) = 20 cm = 0.1 m

Substitute these value into equation 1

W₂ = (k×0.2²/2)-0.005

W₂ = 0.015k Joules.

W₂/W₁ = 0.015k/0.005k

W₂/W₁ = 3

Therefore,

W₂ = 3W₁

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Algebra - Question related to graphs?

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times?  

Dose that make sense?

1:    Yes

Way out.

NY,S1,S2,S3,Ch

Way back

Ch,S4,NY

The Ch is the same therefore total is 7.

2:    

a(n)=-6+(n-1)(6)

3:  Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

4:    A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?        

i guess it would be 7 as the answer because: Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

Step-by-step explanation: Different Brainly's

1:    Answer:     7

Step-by-step explanation:     The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.  

So, cumulatively the altitude will touch the horizontal axis seven times.

2:    I Don't Know

3:    Answer:

5 is the right answer

Step-by-step explanation:

The graph will touch the horizontal x each time the altitude is zero.

Tha happens: 1st in Chicago before taking off, 2nd, in the intermediate place before getting to NY, 3rd in NY, 4th in the intermediate place before getting to Ch, and 5th when arrives to Ch.

4:    Answer:

7

Step-by-step explanation:

The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.

So, cumulatively the altitude will touch the horizontal axis seven times.

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