A motorcyclist is traveling at 58.3 mph on a flat stretch of highway during a sudden rainstorm. The rain has reduced the coeffic
ient of static friction between the motorcycle tires and the road to 0.070 when the motorcyclist slams on the brakes.
(a) What is the minimum distance required to bring the motorcycle to a complete stop?
(b) What would be the stopping distance if it were not raining and the coefficient of static friction were 0.580?
(a) What is the minimum distance required to bring the motorcycle to a complete stop?
(b) What would be the stopping distance if it were not raining and the coefficient of static friction were 0.580?
1 answer:
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Answer:
Velocity is 1.73 m/s along 54.65° south of east.
Explanation:
Let unknown velocity be v, mass of billiard ball be m and east direction be positive x axis.
Here momentum is conserved.
Initial momentum = Final momentum
Initial momentum = m x 2i + m x (-1)i = m i
Final momentum = m x v + m x 1.41 j = mv + 1.41 m j
Comparing
mi = mv + 1.41 m j
v = i - 1.41 j
Magnitude of velocity
Direction,
Velocity is 1.73 m/s along 54.65° south of east.