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3 years ago

6

The teachers of Scott, Christopher, Dianne, and Kailee have last names Koeninger, Dannemiller, Briscoe, and Carter. Match the ki

ds to their teacher.
1. Neither Ms. Dannemiller nor Ms. Briscoe is Kailee's teacher.
2. Christopher's teacher, who is not Carter, said that Christopher is one of his favorite students.
3. Dianne's teacher is not Dannemiller.

1 answer:

Pani-rosa [81]3 years ago

4 0

Scott-Dannemiller, Koeninger, Briscoe, and Carter

Christopher-Briscoe, Dannemiller, and Koeninger

Dianne-Koeninger, Briscoe, and Carter

Kailee-Koeninger and Carter

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Answer:

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Explanation:

From the question we are told that

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The new length of the spring $L_{new} = 1.30 m$

The spring constant k is mathematically represented as

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Where F is the force applied $= m * g = 0.5 * 9.8=4.9N$

y is the difference in weight which is $=1.10-0.50=0.6m$

The negative sign is because the displacement of the spring (i.e its extension occurs against the force F)

Now substituting values accordingly

$k = \frac{4.9}{0.6}$

$= 8.17 N/m$

The elastic potential energy is given as $E_{PE} = \frac{1}{2} k D^2$

where D is this the is the displacement

Since Energy is conserved the total elastic potential energy would be

$E_T = initial \ elastic\ potential \ energy + kinetic \ energy$

$E_T = \frac{1}{2} k D_{max}^2 = \frac{1}{2} k D^2 + \frac{1}{2} mv^2$

Substituting value accordingly

$\frac{1}{2} *8.17 *D_{max}^2 =\frac{1}{2} * 8.17*(1.30 - 0.50)^2 + \frac{1}{2} * 0.5 *1.30^2$

$4.085 * D_{max}^2 = 3.69$

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$D_{max} = 0.950m$

So to obtain total length we would add the unstretched length

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$L_{max} = 0.950 + 0.5 = 1.45m$

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