Solve the below problems Stretching DNA. With its double-helix structure, DNA is

Question

Solve the below problems

Stretching DNA. With its double-helix structure, DNA is coiled like a spring. A biophysicist grabs the ends of a DNA strand with optical tweezers and stretches it 26 mu m producing 1.2-pN tension in the strand. What's the DNA's spring constant? Express your answer to two significant figures and include the appropriate units. A force acts on a hockey puck. Determine the work done if the force results in the puck's displacement by 3.9m in the +x-direction and 2.6m in the -y-direction. Express your answer with the appropriate units. If Galileo dropped a 2.39kg cannon ball from the 62.8m Tower of Pisa, how much work did gravity do on the ball? Express your answer with the appropriate units.

Explanation / Answer

5.44
A)F = k*x

==> k = F/x = 1.2*10^-12/26*10^-6 = 4.62*10^4 N/m

5.36
A) work done = F*dz*cos(90) + Fy*dy*cos(180) = -28.6 J

5.28

Work done = m*g*h = 2.39*9.8*62.8 = 1470.9 J

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