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13-2. The 10-lb block has an initial velocity of 10 ft/s
Chapter 13, Problem 13-2(choose chapter or problem)
The 10-lb block has an initial velocity of 10 ft/s on the smooth plane. If a force F = (2.5t) lb, where t is in seconds, acts on the block for 3 s, determine the final velocity of the block and the distance the block travels during this time.
Questions & Answers
QUESTION:
The 10-lb block has an initial velocity of 10 ft/s on the smooth plane. If a force F = (2.5t) lb, where t is in seconds, acts on the block for 3 s, determine the final velocity of the block and the distance the block travels during this time.
Step 1 of 4
The following are given by the question:
Mass of block, m = 10 lb
Force, F = (2.5t) lb
Time, t = 3 s
Initial velocity v = 10 ft/s
By using the force balance equation as
\(\begin{aligned} \sum F & =m a \\ 2.5 t & =\frac{10}{32.2} a \\ a & =8.05 t \end{aligned}\)
The acceleration is given by
\(\begin{array}{l} a=\frac{d v}{d t} \\ d v=a d t \end{array}\)