Consider the trunk on the incline in the Example Problem. Calculate the magnitud
ID: 1510712 • Letter: C
Question
Consider the trunk on the incline in the Example Problem. Calculate the magnitude of the acceleration. After 4.00 s, how fast would the trunk be moving? For the Example Problem Skiing Downhill, find the x- and y-components of the weight of the skier going downhill. If the skier were on a 30 degree downhill slope, what would be the magnitude of the acceleration? After the skier on the 37 degree hill had been moving for 5 0 s the friction of the snow suddenly increased making the net force on the skier zero. What is the new coefficient of friction? How fast would the skier now be going after skiing for 5 0 s?Explanation / Answer
5.(a)
along the incline,
Fnet = ma
mgsin@ = ma
a = g sin@
where @ is angle of incline.
(b)
v = u + at
v = 0 + (g sin@) (4)
v = 4gsin@ { g = 9.8 m/s^2 }
6. figure needed.
(weight will be m g in y direction )
7. a = g sin@ = 9.8 sin30 = 4.9 m/s^2
8. Fnet = mgsin@ - f = 0
where f = friction force = uk m g cos@
mg sin37 - uk m g cos37 = 0
uk = tan37 = 0.75
-----
where surface was frictionless,
a = g sin37 = 9.8 sin37 = 5.9 m/s^2
v = u + at = 0 + (5.9 x 5) = 29.5 m/s