Problem 3: A door has length of 1.25 m and mass 30.0 kg is struck by a bullet of mass 25.0 gr with initial speed of...
A 0.006 00-kg bullet traveling horizontally with a speed of 1.00 103 m/s enters an 19.1-kg door, imbedding itself 8.20 cm from the side opposite the hinges as in the figure below. The 1.00-m wide door is free to swing on its frictionless hinges.(a) Before it hits the door, does the bullet have angular momentum relative the door's axis of rotation?YesNo(b) If so, evaluate this angular momentum. (If not, enter zero.)__________m^2/s(c) Is mechanical energy of the bullet-door system constant in...
A 0.00600 kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 20.8 kg door, embedding itself 11.0 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges.What is the angular momentum? At what angular speed (rad/s) does the door swing open immediately after the collision? Calculate the total energy of the bullet-door system and determine whether it is less than or equal...
A 0.00600-kg bullet traveling horizontally with a speed of 1.00 103 m/s enters a 17.5-kg door, embedding itself 20.0 cm from the side opposite the hinges as in the figure below. The 1.00-m-wide door is free to swing on its hinges. A) At what angular speed does the door swing open immediately after the collision? (The door has the same moment of inertia as a rod with axis at one end.) B) Calculate the energy of the door-bullet system and...
A 0.00600-kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 19.3-kg door, embedding itself 10.4 cm from the side opposite the hinges as shown in the figure below. The 1.00-m wide door is free to swing on its frictionless hinges. (a) if so, evaluate this angular momentum. (if not, enter zero ) (------ kg.m^2/s ?). b) at what angular speed does the door swing open immediately after the collision? (----- rad/s ?). c) calculate the total energy of...
Q20 (15 points): A bullet of mass m X102 kg is moving with a speed of 100 m/s when it collides with a rod of mass mR 5 kg and length L m (shown in the figure). The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass. The bullet imbeds itself in the rod at a distance L/4 from the pivot point. As a result, the bullet-rod system starts...
A billiard ball of mass = 300.0 g moving with an initial speed of 1.80 m/s strikes a second ball of mass mg 400.0 g initially at rest, As a result of the collision, the first ball is deflected off at an angle of 25.0 0 with a speed of 1.00 m/s. Do not assume this is a perfect collision, (a) Taking the x-axis to be the original direction of the motion of ball A, write down the equations of...
A uniform door initially at rest has a width W = 1.5m and mass M= 20 kg. The door is hinged on one side and can freely rotate about the hinges without friction. A policeman fires a bullet, m, = 15 g into the door at a speed v. = 500m/s. The bullet takes a horizontal path and strikes the door in a perpendicular direction at the exact center. The moment of inertia of the door about an axis passing...
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....
A thin rod of mass m and length l rests on a frictionless table and is struck at a point l/4 from its center of mass by a clay ball of mass m moving at speed v. The ball sticks to the rod. If the rod is free to pivot about a frictionless pin at its center, find the angular velocity of the rod after the collision. Also find the velocity of the point at the top of the rod...
A rod rotates in a horizontal plane with angular speed on into the page) the instant it is struck by a bullet travelling as shown. The bullet passes through the end of the rod, leaving a hole in the rod, and continues in the same direction. a) Give the equation needed to find the angular velocity of the rod just after the collision (leave it in terms of the symbols given below for part a). b) (You should be able...