The figure shows a two-ended ?rocket? that is initially stationary on a friction

Question

The figure shows a two-ended ?rocket? that is initially stationary on a frictionless floor, with its center at the origin of an x axis. The rocket consists of a central block C (of mass M = 7.30 kg) and blocks L and R (each of mass m = 1.60 kg) on the left and right sides. Small explosions can shoot either of the side blocks away from block C and along the x axis. Here is the sequence: (1) At time t = 0, block L is shot to the left with a speed of 3.30 m/s relative to the velocity that the explosion gives the rest of the rocket. (2) Next, at time t = 0.70 s, block R is shot to the right with a speed of 3.30 m/s relative to the velocity that block C then has (after the second explosion). At t = 2.90 s, what are (a) the velocity of block C (including sign) and (b) the position of its center (a) Number -0.08 Units m/s (b) Number 0.09 Units m

Explanation / Answer

a) -m*(V1+3.3) + (M+m)*V1 = 0

-1.6*V1 - 5.28 + 8.9V1 = 0

V1 = 0.72

2 nd explosion

(M+m)*0.72 + m*(0.72+3.3) = M*V3

V3 = 1.76 m/s

b) position = 0 (origin)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.