2. 1 points HRW10 7 P013. My Notes Ask Your Teacher A luge and its rider, with a
ID: 2031814 • Letter: 2
Question
2. 1 points HRW10 7 P013. My Notes Ask Your Teacher A luge and its rider, with a total mass of 88 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 38 m/s. Assume a force slows them to a stop at a constant rate of 2.0 m/s2 (a) What magnitude F is required for the force? (b) What distance d do they travel while slowing? (c) What work W is done on them by the force? kJ (d) What is F if they, instead, slow at 4.0 m/s2 (e) What is d if they, instead, slow at 4.0 m/s2 (f) What is w if they, instead, slow at 4.0 m/s27 k)Explanation / Answer
According to the given problem,
a) The magnitude of F is ,
F = ma = 88*2 = 176N
b) Using the kinamatics,
v2 - u2 = 2ad
d = 382/2*2
d = 361m
c)Work done on by the force is ,
W = -F*d
= - 176*361
= - 63.5 kJ negative because it acts opposite to motion.
d)The magnitude of force is,
F = ma = 88*4 = 352 N
e)SImilarly,
d = 382/2*4
d = 180.5 m
f) Similarly the work done is,
W = -Fd
= - 63.54kJ
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