A projectile of mass 2.0 kg is fired in the air at an angle of 45.0° to the horizon at a speed of 48.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mas: part falls straight down after breakup with an initial speed of 11.2 m/s, the 0.7 kg part moves in the original forward direction, and the 0.3 kg part goes straight up. At peak after explosion V31 = (V3,) m3 = 0.3 kg At peak before explosion m2 0.7 kg Vx = (Vi V21 = (V2,)i m, = 1.0 kg v= -(11.2 m/s)j v, = (48.0 m/s)v, 45.0° Launch (a) Find the speeds (in m/s) of the 0.7 kg and 0.3 kg pieces immediately after the break-up. V2 m/s V3 = m/s (b) How high (in m) from the break-up point does the 0.3 kg piece go before coming to rest? m (c) Where does the 0.7 kg piece land relative to where it was fired from? (Give the horizontal distance in meters from the launch point to where the 0.7 kg piece lands.)

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A projectile of mass 2.0 kg is fired in the air at an angle of 45.0° to the horizon at a speed of 48.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0 kg
part falls straight down after breakup with an initial speed of 11.2 m/s, the 0.7 kg part moves in the original forward direction, and the 0.3 kg part goes straight up.
At peak after explosion
V3,1 = (V3,)Î
m3 = 0.3 kg
At peak before explosion
m2 = 0.7 kg
(Vix)î
V21 = (V2,)î
%3D
v; = (48.0 m/s)v;
m1 = 1.0 kg
V1, f = -(11.2 m/s)ĵ
45.0°
Launch
(a) Find the speeds (in m/s) of the 0.7 kg and 0.3 kg pieces immediately after the break-up.
V2
m/s
%D
V3
m/s
(b) How high (in m) from the break-up point does the 0.3 kg piece go before coming to rest?
(c) Where does the 0.7 kg piece land relative to where it was fired from? (Give the horizontal distance in meters from the launch point to where the 0.7 kg piece lands.)
Transcribed Image Text:A projectile of mass 2.0 kg is fired in the air at an angle of 45.0° to the horizon at a speed of 48.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0 kg part falls straight down after breakup with an initial speed of 11.2 m/s, the 0.7 kg part moves in the original forward direction, and the 0.3 kg part goes straight up. At peak after explosion V3,1 = (V3,)Î m3 = 0.3 kg At peak before explosion m2 = 0.7 kg (Vix)î V21 = (V2,)î %3D v; = (48.0 m/s)v; m1 = 1.0 kg V1, f = -(11.2 m/s)ĵ 45.0° Launch (a) Find the speeds (in m/s) of the 0.7 kg and 0.3 kg pieces immediately after the break-up. V2 m/s %D V3 m/s (b) How high (in m) from the break-up point does the 0.3 kg piece go before coming to rest? (c) Where does the 0.7 kg piece land relative to where it was fired from? (Give the horizontal distance in meters from the launch point to where the 0.7 kg piece lands.)
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