A skier with a mass of $58 \, \text{kg}$ glides up a snowy incline that forms an angle of $28^\circ$ with the horizontal. The skier initially moves at a speed of $7.2 \, \text{m/s}$. After traveling a distance of $2.3 \, \text{m}$ up the slope, the skier’s speed reduces to $3.8 \, \text{m/s}$.

Question

A skier with a mass of $58 \, \text{kg}$ glides up a snowy incline that forms an angle of $28^\circ$ with the horizontal. The skier initially moves at a speed of $7.2 \, \text{m/s}$. After traveling a distance of $2.3 \, \text{m}$ up the slope, the skier&#8217;s speed reduces to $3.8 \, \text{m/s}$.(a) Calculate the work performed by the kinetic frictional force acting on the skis. Use strictly conservation of energy for this part, in a single equation and plug in numbers only at the end.
, (b) Determine the magnitude of the kinetic frictional force.
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Jason · Accepted Answer

$W_f \approx -4.7 \times 10^{2}\,\text{J}$
$f_k \approx 2.0 \times 10^{2}\,\text{N}$

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