IB Physics-Topic 2 mechanics-Qc#12-Conservation of energy- work- energy theorem-a downhill ski

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Solution of IB Physics past papers questions .
Qc#7 and Qc# 8
The diagram below shows part of a downhill ski course which starts at point A, 50 m above level ground. Point B is 20 m above level ground A skier of mass 65 kg starts from rest at point A and during the ski course some of the gravitational potential energy transferred to kinetic energy.
a. From A to B, 24 % of the gravitational potential energy transferred to
kinetic energy. Show that the velocity at B is 12 m s .
b. Some of the gravitational potential energy transferred into internal
energy of the skis, slightly increasing their temperature. Distinguish
between internal energy and temperature.
c. The dot on the following diagram represents the skier as she passes
point B. Draw and label the vertical forces acting on the skier.
d. The hill at point B has a circular shape with a radius of 20 m. Determine
whether the skier will lose contact with the ground at point B.
e. The skier reaches point C with a speed of 8.2 m s . She stops after a
distance of 24 m at point D.
Determine the coefficient of dynamic friction between the base of the skis and the
snow. Assume that the frictional force is constant and that air resistance can be
neglected.
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For the answer for 8a, doesn't the velocity become approximately 24 ms^-1 if you solve for: square root(2*9.81*30) ?

as-wdnb
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wth this is the same exam I took for ib physics topic 2

seunghwanjeong