The strength of the earth’s magnetic field b at the equator is approximately equal to 5 × 10−5 t. the force on a charge q moving in a direction perpendicular to a magnetic field is given by f = q v b, where v is the speed of the particle. the direction of the force is given by the right-hand rule. suppose you rub a balloon in your hair and your head acquires a static charge of 9 × 10−9 c. if you are at the equator and driving west at a speed of 90 m/s, what is the strength of the magnetic force on your head due to the earth’s magnetic field? answer in units of n. what is the direction of that magnetic force?

Apassenger walks toward the rear of a moving train. describe her motion as seen from a reference point on the train. then describe it from a reference point on the ground

Aforce of 200 n is applied to an input piston of cross-sectional area 2 sq. cm pushing it downward 2.8 cm. how far does the output piston of cross-sectional area 12 sq. cm move upward? show all work.

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)