Reference no: EM13887640
Question 1- A projectile fired into the air suddenly explodes into several fragments.
(A) What can be said about the motion of the center of mass of the system made up of all the fragments after the explosion?
(B) If the projectile did not explode, it would land at a distance R from its launch point. Suppose the projectile explodes and splits into two pieces of equal mass. One piece lands at a distance 2R to the right of the launch point. Where does the other piece land?
Question 2- A rocket is fired vertically upward. At the instant it reaches an altitude of 1000 m and a speed of v1 = 300 m/s, it explodes into three fragments having equal mass. One fragment moves upward with a speed of v1 = 450 m/s following the explosion. The second fragment has a speed of v2 = 240 m/s and is moving east right after the explosion. What is the velocity of the third fragment immediately after the explosion?
Question 3- As shown in Figure two blocks are at rest on a frictionless, level table. Both blocks have the same mass m, and they are connected by a spring of negligible mass. The separation distance of the blocks when the spring is relaxed is L. During a time interval Δt, a constant force of magnitude F is applied horizontally to the left block, moving it through a distance x1 as shown in Figure. During this time interval, the right block moves through a distance x2. At the end of this time interval, the force F is removed.
(A) Find the resulting speed V→CM of the center of mass of the system.
(B) Find the total energy of the system associated with vibration relative to its center of mass after the force F is removed?
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