Help with these questions? 17. [10 marks Jane mass 58 kg is standing on a ledge,

Question

Help with these questions?

17. [10 marks Jane mass 58 kg is standing on a ledge, holding a vine horizontally, which is attached to atree on the opposite side of the canyon. (see figure below) The vine is 5.5 mlong. Ignore air resistance. The vine does not stretch. vine length: 5.5 m a) [3 marks] If Jane starts from rest, use conservation of energy methods to determine her speed at the bottom of the swing. b) [3 marks] If Jane collides with Tarzan (at rest, with mass 76 kg at the bottom of the swing, and they swing off together on the vine, what is their speed immediately after the collision? (f you did not get a value in a), assume a reasonable value for Jane's speed at the bottom of the swing and continue.) c) [4 marks Use conservation of energy methods to determine the maximum height that Jane and Tanzan reach in their swing. (fyou did not get a value in b), assume a reasonable value and continue.)

Explanation / Answer

a) we need to use conservation of energy,

potential at top = kinetic enerrgy at bottom

=> mgh = 0.5 mv2

=> v= sqrt (2g*h)

= > v= sqrt( 2*9.8* 5.5) = 10.38 m/s

b) we use consevation of momentum

initial momentum = final momentum

m1v= (m1+ m2) * V'

=> V'= [ m1/ (m1+m2) ] * v

= V'= [ 58/ (58+76)]* 10.38

=4.49 m/s

c)now let the combined mass be M

so, kinetic energy at bottom = potential energy at topmost point

so, 0.5M V'2 = M*g*H

=> 0.5* 4.492 = 9.8* H

=>H= 1.02 m

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.