A battleship that is 5.00 x 107 kg and is originally at rest fires a 1300-kg artillery shell horizontally with a velocity of 550 m/s. (a) If the shell is fired straight aft (toward the rear of the ship), there will be negligible friction opposing the ship's recoil. Calculate its recoil velocity in meters per second. 0.0143 V m/s (b) Calculate the increase in internal kinetic energy in joules (that is, for the ship and the shell). This energy is less than the energy released by the gun powder – significant heat transfer occurs.

A 500Kg Ford focus automobile is initially travelling at vi, focus=(60i + 20j)Km/hr when it inelastically collides with a 16.7Mg semitruck initally traveling at vi,truck=(-30i-110j)Km/hr. problems: a) what is the final velocity immediately after the inelastic collision?  b) assume that, just after the collision , the ford focus and semitruck begin to slide across the pavement due to a uniform kinetic friction with coefficient uk=0.45. how far will they slide before coming to a stop.

A block with mass m 1 =1 kg is released from rest on a frictionless track at a distance h1=2.5 m above the top of a table . it then collides elasticly with a block having same mass m2=1Kg that is at rest on the table. (a) What is the velocity of mass m1 just before collision? (b) What is the velocity of mass 2 just after collision?

A 1.0 kg mass with a speed of 4.5 m/s strikes a 2.0 kg mass at rest. For a completely inelastic collision, find: (a) The speed of the masses after the collision. (b) The change in kinetic energy. (c) The momentum after the collision.

In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0315 kg and the mass of the pendulum is 0.250 kg, how high ℎ will the pendulum swing if the marble has an initial speed of 5.65 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision.

In a ballistics test, a 29 g bullet traveling horizontally at 1200 m/s goes through a 29-cm-thick 340 kg stationary target and emerges with a speed of 950 m/s . The target is free to slide on a smooth horizontal surface.

Our brave astronaut Ms. Rose Noneck is at rest spacewalking 9.3 m away from her spaceship when her jetpack runs out of electricity (powered by TCC?). And worst – she is down to 60 seconds of oxygen left – there's plenty in her spaceship as well as her delicious lunch of baba ganoush. She remembers Prof. P's class and throws her 23.6 kg jetpack in the opposite direction of her spaceship at 1.4 m/s. Her mass is 55 kg. Will she make it back to her spaceship before she runs out of air? Convince me with numbers - tell me how long in seconds it takes for her to get back. Will we be seeing her in Exam 4? Or is it the end for her?

A spaceship's orbital maneuver requires a speed increase of 1.05 ✕ 103 m/s. If its engine has an exhaust speed of 2.45 ✕ 103 m/s, determine the required ratio  Mi Mf  of its initial mass to its final mass. (The difference  Mi − Mf  equals the mass of the ejected fuel.)

Two marbles of the same mass perform a perfectly clastic and one-dimensional collision. If one of them is at rest, and the other has a speed of 4 m/s before the collision, determine the speeds after the collision.

A 480-kg car moving at 16.4 m/s hits from behind a 570-kg car movingat 13.3 m/s in the same direction. If the new speed of the heavier car is 14.0 m/s,(a) what is the speed of the lighter car after the collision, assuming that anyunbalanced forces on the system are negligibly small, and(b) what average power is dissipated during the collision if they collide for 1.4seconds?