Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 4.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103kg. Assume that the positive direction is directed from the second satellite towards the first satellite.   (a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.................m/s(b) What is the loss of kinetic energy in this inelastic collision? ................J(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.final velocity..................m/sloss of kinetic energy....................JExplain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both. (Do this on paper. Your instructor may ask you to turn in this work.)

(2) A block with mass m is sliding with speed vo on a surface that is so slippery it can be considered to be frictionless. The sliding block collides with a second stationary block with mass 4m. Both blocks stick together and continue sliding with speed v. Take both blocks to be the "system" and assume that no net external force acts on it so the momentum of the system is conserved (constant). (a) What is vin terms of vo? (Hint: Use conservation of momentum.) [answer: v=v0/5] (b) What is the initial kinetic energy of the system (K) in terms of m and vo? [answer: Ki = ¹/2mv0²] (c) What is the final kinetic energy of the system (K) expressed as a fraction of Ki? [answer: K₂= K₂] (d) What is the change in kinetic energy of the system (AK) expressed as a fraction of Ki? [answer: AK = - K;] (e) By what factor does the kinetic energy of the system change during the collision? That is, what is the ratio Kf / K₁? [answer: = 1, or Kf = K./5, i.e., the kinetic energy decreases by a factor of 5.]…

7) Two manned satellites approaching one another, at a relative speed of 0.550 m/s, intending to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. (a)Calculate the final velocity (after docking) in m/s by using the frame of reference in which the first satellite was originally at rest. (Assume the second satellite moves in the positive direction. Include the sign of the value in your answer.)  _____ m/s   (b) What is the loss of kinetic energy (in J) in this inelastic collision?  _____ J   (c) Repeat both parts by using the frame of reference in which the second satellite was originally at rest. final velocity in (m/s)=  _____ m/s loss of kinetic energy in (J)= _____  J   Explain in detail why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.

7) Two manned satellites approaching one another, at a relative speed of 0.550 m/s, intending to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg.   (a) Calculate the final velocity (after docking) in m/s by using the frame of reference in which the first satellite was originally at rest. (Assume the second satellite moves in the positive direction. Include the sign of the value in your answer.)  _____m/s   (b) What is the loss of kinetic energy (in J) in this inelastic collision? _____ J   (c) Repeat both parts by using the frame of reference in which the second satellite was originally at rest. final velocity (m/s)  _____ m/s loss of kinetic energy (J) _____ J Explain in detail why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.

(a) What is the mass of a large ship that has a momentum of 1.60×109kg·m/s, when the ship is moving at a speed of 48.0 km/h? (b) Compare the ship’s momentum to the momentum of a 1100-kg artillery shell fired at a speed of 1200 m/s.

(a) What is the mass of a large ship that has a momentum of 1.60×109kg · m/s , when the ship is moving at a speed of 48.0 km/h? (b) Compare the ship’s momentum to the momentum of a 1100-kg artillery shell fired at a speed of 1200 m/s .

Space probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 5600 kg satellite uses this method to separate from the 1800 kg remains of its launcher, and that 7000 J of kinetic energy is supplied to the two parts. What are their subsequent velocities (in m/s) using the frame of reference in which they were at rest before separation? (Assume the final velocity of the satellite is in the positive direction. Indicate the direction with the sign of your answer.) Vsatellite m/s Viauncher m/s

H)if m, = Skg, m, = 25kg,u, = 4.5m/s and 8 = 30°, find the final speeds v and vy of the two objects. %3D i) Prove if the collision is elastic or inelastic? m2 m2

Suppose a 4 kg mass explodes, creating two debris objects, A and B, having equal mass. If object B moves to the right with a speed of 5 m/s, find the velocity, in m/s, of object A after the explosion.