In a truck-loading station at a post office, a small 0.200-kg package is released from rest a point A on a track that is one quarter of a circle with radius 1.60 m.The size of the packageis much less than 1.60m, so the package can be treated at aparticle. It slides down the track and reaches point B with a speed of 4.80 m/s. From point B, it slides on a level surface a distanceof 3.00 m to point C, where is comes to rest.
(a) What is the coefficient of kinetic friction on the horizontal surface?
(b) How much work is done on the package by friction as it slides down the circular arc from A to B?
(a) How far from a 50.0-mm-focal-length lens must an object be placed if its image is to be magnified 2.00 X and be real?
(b) What if the image is to be virtual and magnified 2.00 X?
A radar station, located at the origin of xz plane, as shown in the figure , detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is . The position vector has a magnitude of and is located at exactly above the horizon. The airplane is tracked for another } in the vertical east-west plane for , until it has passed directly over the station and reached point B. The position of point B relative to the origin is (the magnitude of is ). The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward.
Define the displacement of the airplane while the radar was tracking it: . What are the components of
Express in meters as an ordered pair, separating the x and z components with a comma, to two significant figures.
Starting with an initial speed of 5.00 m/s at a height of 0.300 m, a 1.50 kg ball swings downward and strikes a 4.60kg ballthat is at rest, as the drawing shows. a. using the principle of conservation of mechanicalenergy,find the speed of the 1.50 kg ball just before impact b. assuming that the collision is elastic, find the velocities( magnitude and direction ) of both balls just after thecollision c. how high does each abll swing after the collision, ignoringair resistance?
A conducting sphere of radius 0.01m has a charge of deposited on it. The magnitude of the electric field in N/C justoutside the surface of the sphere is: