Exercise 1
A bicycle rides an inclined plane with an initial velocity 15 m/s. 500 N
a) What is the velocity of the bicycle when it costs a
net high of h=5m? We neglect friction
b) What maximum high h that could be reached by the
bicycle?
a)
vi = initial velocity = 15 m/s
vf = final velocity = ?
h = height gained = 5 m
m = mass
Using conservation of energy between Top and bottom
Kinetic energy at top + potential energy at top = Kinetic energy at bottom
(0.5) m vf2 + mgh = (0.5) m vi2
vf2 + 2gh = vi2
vf2 + 2 (9.8) (5) = (15)2
vf = 11.3 m/s
b)
H = maximum height gained
Using conservation of energy between Top and bottom
potential energy at top = Kinetic energy at bottom
mgH = (0.5) m vi2
gH = (0.5) vi2
(9.8) H = (0.5) (15)2
H = 11.5 m
Exercise 1 A bicycle rides an inclined plane with an initial velocity 15 m/s. 500 N a)...
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