(a) Find the speed of the sled and rider atpoint C. m/s (b) Model the force of w

Question

(a) Find the speed of the sled and rider atpoint C.
m/s
(b) Model the force of water friction as a constant retarding forceacting on a particle. Find the work done by water friction instopping the sled and rider.
kJ
(c) Find the magnitude of the total force the water exerts on thesled.
N
(d) Find the magnitude of the force the chute exerts on the sled atpoint B.
N
(e) At point C the chute is horizontal but curving in the verticalplane. Assume its radius of curvature is 20.0 m. Find the force thechute exerts on the sled at point C.
N

Explanation / Answer

(a)
   first to get the result we use the conservationof energy for the sled-rider-earth syatem between A and C so thatwe get    KEi + PEgi =KEf + PEgf    (1 / 2) m (2.90 m / s2) + m (9.80m / s2) (9.76 m) = (1 / 2) m vC2 +0    solve for the velocity vC    vC = ......... m / s (b)    for the entire motion between A and D weget    KEi + PEgi -fk x = KEf + PEgf    (1 / 2) (79.5 kg) (2.90 m /s2) + (79.5 kg) (9.80 m / s2) (9.76 m) -fk x = 0 + 0    - fk x = - .......... J (c)    in the given problem the water exerts africtional force given by    fk = .......... J / 40 m        = ........ N    the normal force is    n = m g       = (79.5 kg) (9.80 m /s2)       = ......... N    so the magnitude of the water force will be    F = (fk2 +n2)       = ......... N (d)    the angle is given by        = sin-1(9.76 m / 54.3m)       =........o    for the forces perpendicular to the track at B weget         Fy = m ay    nB - m g cos = 0    nB = m g cos         = ........ N (e)    in this part     Fy = m ay    nC - m g = m vC2/ r    nC = ......... N up    nC - m g = m vC2/ r    nC = ......... N up

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