A 39.0-g projectile is launched by the expansion of hot gas in an arrangement shown in figure a. The cross-sectional area of the launch tube is 1.0 cm?, and the length that the projectile travels down the tube after starting from rest is 32 cm. As the gas expands, pressure varies as shown in figure b. The values for the initial pressure and volume are P, = 15 x 10s Pa and V, = 8.0 cm while the final values are P, = 1.5 x 105 Pa and V, = 40.0 cm. Friction between the projectile and the launch tube is negligible. M 32 cm Gas P - 8 cm - V (a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube? m/s (b) If instead the projectile is launched into air at a pressure of 1.5 x 10° Pa, what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down the tube? "spent

Elements Of Electromagnetics
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A 39.0-g projectile is launched by the expansion of hot gas in an arrangement shown in figure a. The cross-sectional area of the launch tube is 1.0 cm2, and the length that the projectile travels down the tube after starting from rest is 32 cm. As the gas expands, the
pressure varies as shown in figure b. The values for the initial pressure and volume are P, = 15 x 105 Pa and V, = 8.0 cm3 while the final values are P; = 1.5 x 105 Pa and V; = 40.0 cm³. Friction between the projectile and the launch tube is negligible.
P
P;
32 cm
Gas
Pf
- 8 cm -
V
V;
(a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube?
m/s
(b) If instead the projectile is launched into air at a pressure of 1.5 x 105 Pa, what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down the tube?
spent =
env
Transcribed Image Text:A 39.0-g projectile is launched by the expansion of hot gas in an arrangement shown in figure a. The cross-sectional area of the launch tube is 1.0 cm2, and the length that the projectile travels down the tube after starting from rest is 32 cm. As the gas expands, the pressure varies as shown in figure b. The values for the initial pressure and volume are P, = 15 x 105 Pa and V, = 8.0 cm3 while the final values are P; = 1.5 x 105 Pa and V; = 40.0 cm³. Friction between the projectile and the launch tube is negligible. P P; 32 cm Gas Pf - 8 cm - V V; (a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube? m/s (b) If instead the projectile is launched into air at a pressure of 1.5 x 105 Pa, what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down the tube? spent = env
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