A luge and its rider, with a total mass of 92 kg, emerge from a downhill track o

Question

A luge and its rider, with a total mass of 92 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 33 m/s. Assume that they stop with a constant deceleration of 2.7 m/s2.

(a) What magnitude F is required for the decelerating force?

(b) What distance d do they travel while decelerating?

(c) What work W is done on them by the decelerating force?

(d) What is F for a deceleration of 5.4 m/s2?

(e) What is d for a deceleration of 5.4 m/s2?

(f) What is W for a deceleration of 5.4 m/s2?

Explanation / Answer

m=92Kg a=-2.7m/s2

a)F=ma=248.4N

b)v2=u2+2as v=0 u=32m/s a=-2.7m/s2

0=322 -2x2.7xs=>s=322/2x2.7=189.63m

c)W=Fs=47.1KJ

d)if a=-5.4m/s2

F=ma=496.8N

b)v2=u2+2as v=0 u=32m/s a=-5.4m/s2

0=322 -2x5.4xs=>s=322/2x5.4=94.815m

c)W=Fs=47.1KJ

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