Question

Question 19 This question contains multiple parts. Make sure to read all the instructions and answer each part. (408553) {2D Inelastic Collisions} At an Independence Day celebration show, a large firework is shot from the ground and, in the first stage of its bursting pattern, splits into two unequal parts. Part a (1 points) Assume that the firework has a mass of m​0=0.30 kg and is launched from a cannon at an angle of θ​0 ​=35.5 degrees ​​ with an initial velocity of ∣v0|=20 m/s. Just as the firework reaches its hight point in its trajectory, it explodes into two pieces. Immediately after the explosion, the first piece, with a mass of m ​1=0.2 kg flies off at an angle \theta_1=150 degrees relative to the positive (forward) horizontal axis at a velocity of |v​1|=5 m/s relative to the ground. Calculate the trajectory angle, θ2 of the second piece immediately after the explosion. Assume the second piece has a mass of m2 ​​=0.1 kg, neglect the effect of air resistance, and report your result as an angle relative to the positive (forward) horizontal axis.

At an Independence Day celebration show, a large firework is shot from the ground and, in the first stage of its bursting pattern, splits into two unequal parts. Image size: sML Max Part a (1 points) Assume that the firework has a mass of mo 0.30 kg and is launched from a cannon at an angle of 6. = 35.5° with an initial velocity of (vol = 20 m/s. Just as the firework reaches its hight point in its trajectory, it explodes

Answer 1

At manimum height, relocity - voceson =) gaitial momentum, pe mrocoso f f P >> P = (0,3)(20) COS 35.5"=4.88 ? Also after collision, momentum. Pq = 10.2) (5) ( costo a sus bo? + (0.1) q > P = 0.5 9 – 0.866€ + 0,15 By momentum conservation, = 0.59-0.866i + 0,5 = 4.88 9 v = 5.75 : -0. 0.5ý > n = 57.51_5 Direction of ņ is O= Tan (is) = 4.97" with horizontal in clock wise directon. (or) Q = 4.97 below the horizontal (forwald) 0.1 lor) 0,= 355 with horizontal (forward) in counter clocking direction,