A rocket is fired vertically upward at the instant it

Question

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?

Answer 1

Find out the velocity of given questions that is very complicated in solving but you give the solution of each question with step by step Question 1- A projectile fired into the air suddenly explodes into numerous 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 didn’t explode, it would land at a distance R from its launch point. Assume the projectile explodes and divides into 2 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 perpendicularly 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 through a speed of v1 = 450 m/s subsequent the explosion.