A shell is shot with an initial velocity 0 of 25 m/s, at an angle of 80 = 63° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the figure). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible? Explosion

The pendulum apparatus in the video has a total mass of 578 grams. The pendulum rod has a small mass of 20 grams so you can treat all the mass of the pendulum as if it were hanging at the end which is called the “bob”. The mass of the rod should be taken into account in determining the center of mass of the apparatus which is 71.3 cm (not the length of the pendulum). A marble which hass a mass of 10 g is fired at the pendulum bob which has clay on it which allows the marble to stick to it.   Derive a formula for measuring the velocity of the marble (vm) as a function of the mass of the marble mm, the mass of the marble/bob mmb and the velocity of the marble and bob vmb using the conservation of momentum.

Determine the unknown velocity value. Assume that the collisions occur in an isolated system.

A gun fires a bullet vertically into a 1.40-kgkg block of wood at rest on a thin horizontal sheet. If the bullet has a mass of 13.5 g and a speed of 310 m/s, how high will the block rise into the air after the bullet becomes embedded in it? Answer in meters.

A 2.70-kg ball is shot into a 0.425-kg box that is at rest on a frictionless, horizontal table (see figure below); after the collision, the ball is embedded in the box. The box is attached to a 0.30-m rope that is attached to the table on the other end. The ball's initial velocity is perpendicular to the rope as shown. If the ball's initial speed before impact is 13.2 m/s, what is the tension in the rope after the collision? 0.30 m

Two spheres collide on a horizontal surface (all velocities, before and after the collision, are in the x-y plane). Throughout this problem, assume that all forces aside from those exerted by the spheres themselves are negligible (at least in comparison). Sphere A has a mass of 0.65 grams.  It has an initial speed of 6.0 m/s and an initial velocity that is oriented at an angle of θ A i = 28 degrees below the x-axis. Sphere B has a mass of 0.45 grams.  It has an initial speed of 6.5 m/s and an initial velocity that is oriented at an angle of θ B i = 35 degrees above the x-axis. After the collision, sphere A has a speed of 3.5 m/s and a velocity that is directed at an angle of θ A f = 16 degrees above the x-axis. What is the final speed, in units of meters per second, of sphere B?

A 20.0-kg toboggan with 58.3-kg driver is sliding down a frictionless chute directed θ = 27.6° below the horizontal at 7.70 m/s when a 55.0-kg woman drops from a tree limb straight down behind the driver. If she drops through a vertical displacement of 2.00 m, what is the subsequent velocity of the toboggan immediately after impact?

A bullet, m = 2.00 kg, traveling with a velocity of 60.0 m/s strikes and embeds itself in the bob of a ballistic pendulum, M = 8.00 kg, which swings on a frictionless axis as shown. The combined masses rise to a height h above the bob's initial position. M Determine the height h (shown) that the combined block-bullet system rises to after collision. 7.35 m 6.00 m O 1.22 m 12.5 m

Shot put is a track and field event in which a heavy spherical ball (the "shot") is thrown (or "put", using the sport's terminology) as far as possible. A "shot" with mass of 6.6 kg is "put" into the air. Its initial speed is 9.6 m/s, directed at an angle 54 degrees above the horizontal. After 0.16 seconds, what is the horizontal component of the ball's velocity (in m/s)?

A shell is shot with an initial velocity v o of 21 m/s, at an angle of 00 = 57° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the figure). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible? Explosion Number Units