Two manned satellites approach one another at a relative velocity of v = 0.190 m/s, intending to dock. The first has a mass of m1 = 4.00x10^3 kg and the second a mass of m 27.50x10^3 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Final relative velocity: _m /s

In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.11 kg) and embeds itself in block 2 (mass 1.62 kg). The blocks end up with speeds v₁ = 0.600 m/s and v₂ = 1.50 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1. Frictionless (a) Number (b) Number Units Units (1) (2)

In walking the body goes through both a breaking impulse and a propulsion impulse. The breaking phase lasts .3 seconds and the propulsion phase lasts .33 seconds. The body goes through a decrease of the vertical velocity of .1 m/s as they come into the ground during the breaking impulse and an increase in the vertical velocity of .4 m/s during the propulsion.  The individual has a weight of 700 newtons. What is the acceleration horizontally for both the breaking impulse and the propulsive impulse if the coefficient of friction is .32?

In this problem, an astronaut is landes on the 6.1×1021 kg asteroid traveling at 9830 m/s and detonates a nuclear bomb. The asteroid breaks into two pieces of equal mass. One piece will fly off at an angle of 30∘ and speed 9700 m/s. What will be the speed and angle of the second piece?

18. A robotic space probe of mass 7600 kg is traveling through space at 120 m/s. Mission control determines that a change in course of 30.0° is necessary and instructs the probe to fire rockets perpendicular to its direction of motion. If the escaping gas leaves the craft’s rockets at an average speed of 3200 m/s, what mass of gas should be expelled?

How much fuel (in kg) would be needed for a 1,200-kg rocket (its mass with no fuel) to take off from Earth and reach 1,800 m/s in 20s? The exhaust speed is 1,000 m/s. 5630 7630 3630 4630

An object of mass 3M, moving in the +x direction at speed vo, breaks into two pieces of mass M and 2M as shown in the figure. V = ? 2M 3M If 0 = 68.0° and 02 = 21.0°, determine the final velocities vi and vz of the resulting pieces in terms of vo. M , = ? U2 =

A 2.06-kg particle has a velocity (1.92 î − 2.98 ĵ) m/s, and a 2.90-kg particle has a velocity (1.06 î + 5.93 ĵ) m/s. (a) Find the velocity of the center of mass.   (b) Find the total momentum of the system.

3. Three asteroids coated with cosmic slime are moving in the same plane when they collide and stick together. Initially asteroid A has a mass of 2 x 107 kg and is moving to the right at a speed of 150 m/s, asteroid B has a mass of 3 × 107 kg and is moving at 50 m/s towards the lower left at an angle of 60° with respect to asteroid A, while asteroid C has a mass of 5 x 107 kg and is moving with an unknown speed and angle. After the collision, the resulting single asteroid is moving toward the right at a speed of 50 m/s. Determine the speed and angle of asteroid C prior to the collision.

Two manned satellites approach one another at a relative speed of 0.100 m/s, intending to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second? (Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.)