posted by Savannah on .
Please help me learn how to do this problem, step by step please.
Engineers are developing new types of guns that might someday be used to launch satellites as if they were bullets. One such gun can give a small object a velocity of 4.1 km/s while moving it through a distance of only 1.5 cm.
(a) What acceleration does the gun give this object? (b) Over what time interval does the acceleration take place?
You know displacement and final velocity of an object starting from rest.
Use the relevant mechanics equations:
s = (at^2)/2
v = at
Where: s=0.015[m] and v=4100[m/s]
Rearranging the velocity equation to give an expression for time taken (t).
Use this to substitute for t into the displacement equation, and rearrange to obtain an expression for acceleration.
Use given values in this expression to calculate the acceleration (the answer to part a).
Substitute back into the rearranged velocity equation to calculate the time interval (the answer to part b)