Sunday

November 23, 2014

November 23, 2014

Posted by **johnny** on Saturday, December 13, 2008 at 1:15pm.

(a) What is the terminal speed?

m/s

(b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed? (dvt/dC)

m/s

- physics -
**drwls**, Saturday, December 13, 2008 at 1:59pmCompute the drag force as

(1/2)*C*(air density)*V^2*(Area)

Compute the drag force on the skis with the standard friction coeffient equation.

m g sin A - m g cos A Uk - (1/2) A C (density) V^2 = 0 = Fnet

(a) Write Newton's second law with zero acceleration. The only unknown will be Vt, the terminal speed. Solve for it

(b) Differentiate the law of motion to get dV(C)/dC. You will save a step if you do it impliclitly with respect to C

dFnet/dC = (1/2)A*density*V^2 + (1/2)*A*2V*C*dV/dC*(density)= 0

V^2 + 2 C V*dV/dC = 0

dV/dC = -V/(2C)

2*dV/V = dC/C

**Answer this Question**

**Related Questions**

Physics please - In downhill speed skiing a skier is retarded by both the air ...

Physics help needed ! - In downhill speed skiing a skier is retarded by both the...

science - A 71.9-kg skier coasts up a snow-covered hill that makes an angle of ...

physics - A 64.2-kg skier coasts up a snow-covered hill that makes an angle of ...

physics - A 64.9 kg skier coasts up a snow-covered hill that makes an angle of ...

physics - A 64.9 kg skier coasts up a snow-covered hill that makes an angle of ...

Physics 1 - A 64.9 kg skier coasts up a snow-covered hill that makes an angle of...

Physics - A 61.8 kg skier coasts up a snow-covered hill that makes an angle of ...

physics - A 65.0-kg skier coasts up a snow-covered hill that makes an angle of ...

Physics - A skier of mass 64 kg starts from rest at the top of an 18° slope, ...