IB Physics HL A 3 7 Mechanical Energy Conservation Questions

Practise HL mechanical-energy conservation with rolling bodies, rockets, springs and supplied rotational data in quantitative exam questions.

Exam points

Apply conservation of mechanical energy when friction and other resistive forces are absent.
Calculate speed, height or elastic-energy changes by relating kinetic, gravitational potential and elastic stores using complete evidence.

[Maximum number: 2]

An elastic climbing rope is tested by fixing one end of the rope to the top of a crane. The other end of the rope is connected to a block which is initially at position A. The block is released from rest. The mass of the rope is negligible.

diagram not to scale

The unextended length of the rope is 60.0 m . From position A to position B, the block falls freely.

At position B the rope starts to extend. Calculate the speed of the block at position B.

use of conservation of energy

OR

$v^2=u^2+2as v=\sqrt{2\times60.0\times9.81}=34.3\ \mathrm{m\,s^{-1}}$

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IB Physics HL A 3 7 Mechanical Energy Conservation Questions question 1