Ski Slope Avalanche: Time to Escape w/ 0 & 0.1 Friction

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An avalanche on a 30-degree ski slope poses a danger to a skier located 100 meters downhill. Without friction, the skier has approximately 6.4 seconds to escape. If the coefficient of kinetic friction is 0.1, the time increases slightly to about 7.03 seconds. The discussion emphasizes the importance of showing work when solving such physics problems. Seeking assistance in the appropriate forum section is recommended for homework-related queries.
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an avalanche begins on a ski slope. the mountain is 30 degrees above horizontal. a skier is 100m downhill on path of avalanche
1. how much time does skier have to move out of way if no friction?
2. how much time does skier have if Uk is 0.1?

answer= 1. 6.4 s 2. 7.03 s


can someone please help me? the equation i am using is Fk = UkN
 
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If this is homework I would advise taking it to the homework section of the site where you may get more help.
 
There's no friction in the first case. You've got to show some work as to how you might approach this problem.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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