- A model rocket is constructed with a motor that can provide a total impulse of 24.0 N-s. The mass of the rocket is 0.202 kg. What is the speed that this rocket achieves when it is launched from rest? Neglect the effects of gravity and air resistance.
- A 0.0114-kg bullet is fired straight up at a falling wooden block that has a mass of 2.48 kg. The bullet has a speed of 603 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurs. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the top of the building. Find the time t.
- By accident, a large plate is dropped and breaks into three pieces. The pieces fly apart parallel to the floor. As the plate falls, its momentum has only a vertical component, and no component parallel to the floor. After the collision, the component of the total momentum parallel to the floor must remain zero, since the net external force acting on the plate has no component parallel to the floor. Using the data shown in the drawing find (a) the mass of piece 1 and (b) the mass of piece 2.
- Batman (mass = 87.8 kg) jumps straight down from a bridge into a boat (mass = 422 kg) in which a criminal is fleeing. The velocity of the boat is initially + 10.9 m/s. What is the velocity of the boat after Batman lands in it?
- The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.0490 kg and is moving along the x axis with a velocity of + 5.65 m/s. It makes a collision with puck B, which has a mass of 0.0980 kg and is initially at rest. The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. Find the speed of (a) puck A and (b) puck B.
- A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.6 kg and 2.5 kg, and the length of the wire is 1.14 m. Find the velocity (magnitude and direction) of the ball (a) just before the collision, and (b) just after the collision.
- Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.82×1011 m apart. The larger of the two stars has a mass of 3.93×1030 kg, and its center is 2.47×1011 m from the system’s center of mass. What is the mass of the smaller star?
- The drawing shows a sulfur dioxide molecule. It consists of two oxygen atoms and a sulfur atom. A sulfur atom is twice as massive as an oxygen atom. Using this information and the data provided in the drawing, find (a) the x coordinate and (b) the y coordinate of the center of mass of the sulfur dioxide molecule. Express your answers in nanometers (1 nm = 10-° m).
- An automatic dryer spins wet clothes at an angular speed of 6.0 rad/s. Starting from rest, the dryer reaches its operating speed with an average angular acceleration of 3.1 rad/s?. How long does it take the dryer to come up to speed?
- A person is riding a bicycle, and its wheels have an angular velocity of 27.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 15.8 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s?) of each wheel?
Calculate the magnitude of the resultant of all forces acting on the object
Calculate the magnitude of the resultant of all forces acting on the object
