Velocity of bullet fired from a gun

AI Thread Summary
The discussion focuses on calculating the velocity, height, and time of a projectile fired vertically from a gun. The projectile, with a mass of 0.6 kg, is propelled by a force of 50 N for 0.5 seconds, resulting in a velocity of 41.67 m/s upon leaving the barrel. The maximum height reached by the projectile is calculated to be 88.5 meters. Additionally, the total time taken for the projectile to return to the same height is determined to be 8.5 seconds. The calculations provided are confirmed to be correct.
Kev1n
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1. Anyone interested in looking over the question / coments, thanks. An object mass 0.6kg is fired vertically upward in thebarrel of a gun by a vertical force of 50N acting over a period of 0.5 seconds.
Calculate
A. The velocity of the projectile when it leaves the barrel
B. Height reached by object
c. Time taken from the projectile leaving the gun to return to same height




2. a=f/m, V=Vo + AT, V^2=U^2+2AS



3. A. First velocity, A=F/M, 50/0.6 = 83.33m/s^2
Velocity, V=Vo+AT, V=0+83.33 x 0.5 = 41.67ms

B. Height: U=41.67, Vo=0, A=-G = -9.81m/s
0=1736.4-19.62xS
S=1736.4/19.62 = 88.5m

C. S=(T/2)(U+V), 88.5 = T/2 (41.67+0)
T=88.5 x 2 x 2/41.67 = 4.25 seconds
Time to return = 2 x 4.25 = 8.5 seconds
 
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Your calculations are correct.
 
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