A luge and its rider, with a total mass of 96 kg, emerge from a downhill track o

Question

A luge and its rider, with a total mass of 96 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 42 m/s. Assume that they stop with a constant deceleration of 2.7 m/s^2.

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

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

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

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

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

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

Explanation / Answer

a)F=ma=96*-2.7=-259.2 N

Magnitude=259.2N

b)0-422=2*-2.7*s

s=326.67m

c)Work done=F.d=-259.2*326.67=-84672J

d)F=96*-5.4=518.4N

e)s=-422/2*-5.4=163.33 m

f)Work done=F.d=-518.4*163.33=84672 J

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