In the figure here, a small block is sent through point A with a speed of 6.4 m/
ID: 1282608 • Letter: I
Question
In the figure here, a small block is sent through point A with a speed of 6.4 m/s. Its path is without friction until it reaches the section of length L = 13 m, where the coefficient of kinetic friction is 0.72. The indicated heights are h1 = 5.3 m and h2 = 2.2 m. What are the speeds of the block at (a) point B and (b) point C? (c) Does the block reach point D? (d) If so, what is its speed there; if not, how far through the section of friction does it travel?
In the figure here, a small block is sent through point A with a speed of 6.4 m/s. Its path is without friction until it reaches the section of length L = 13 m, where the coefficient of kinetic friction is 0.72. The indicated heights are h1 = 5.3 m and h2 = 2.2 m. What are the speeds of the block at (a) point B and (b) point C? (c) Does the block reach point D? (d) If so, what is its speed there; if not, how far through the section of friction does it travel?Explanation / Answer
a) Use (K + U)A = KB
So 1/2*m*vB^2 = 1/2*m*vA^2 +m*g*h1
so vB = sqrt(vA^2 +2*g*h1)
b) KB = (K + U)C
So KC = KB - UC...1/2*m*vC^2 = 1/2*m*vB^2 - m*g*h2
So vC = sqrt(vB^2 -2*g*h2)
c) If the work done by friction is > KC then the block does not reach D
W =
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.