The total force is the Lorentz force, given by the following. F = qE + qvector v × B = q E + vector v × B We substitute the unit-vector coefficients given above and use the following rules for multiplying unit vectors in a cross product. î × î = ĵ × ĵ = k × k = 0 î × ĵ = −ĵ × î = k ĵ × k = −k × ĵ = î k × î = −î × k = ĵ (a) After substituting and combining the resulting coefficients according to the rules above, we have the following. F = 3.2 × 10−19 C î − ĵ + k N/C = î − ĵ + k × 10−18 N

Occurs when an energy source transfers heat directly to another subject space; an example would be an object becoming warm by sitting in the sunshine

Agroup of students is studying convection currents. they fill two identical balloons with the same amount of helium. one balloon is placed in a freezer and the other in an area with warm air. after 10 minutes, the balloons are released from a height of 1 meter. which of the following do the students most likely observe? question 2 options: the balloons rise at the same rate. both balloons are the same size. the ballons both rise. the cold ballon is larger than the warm balloon. the cold balloon expands and rises. the warm balloon shrinks and sinks. the warm balloon expands and rises. the cold balloon shrinks and sinks.

Rank the automobiles based on the magnitude of the force needed to stop them, from largest to smallest.2000 kg car going 5m/s500 kg car going 20 m/s1000 kg car going20m/s500 kg car going10m/s1000 kg car going10/s4000 kg car going 5m/s 0 0 603