For A with arrow= 5î + ĵ − 4k, B with arrow = −î + 4ĵ + 2k, and C with arrow = 4ĵ − 3k, find C with arrow · (A with arrow − B with arrow).
A proton moves with a velocity of v with arrow = (5î − 4ĵ + k) m/s in a region in which the magnetic field is B with arrow = (î + 2ĵ − k) T. What is the magnitude of the magnetic force this particle experiences?
A 2.80-kg object has a velocity (6.20 î - 2.40 ĵ) m/s. (Note: From the definition of the dot product, v2 = v with arrow · v with arrow.) (a) What is its kinetic energy at this moment? (b) Find the net work done on the object if its velocity changes to (8.00 î+ 4.00 ĵ) m/s. J
A proton moves with a velocity of v with arrow = (6î − 4ĵ) m/s in a region in which the magnetic field is B with arrow = (î + 2ĵ) T. What is the magnitude of the magnetic force this particle experiences?
A 1.96-kg particle has a velocity (2.08 î − 3.07 ĵ) m/s, and a 3.05-kg particle has a velocity (1.08 î + 5.96 ĵ) m/s. (a) Find the velocity of the center of mass. (b) Find the total momentum of the system.
→ For A-si + 3^-4k, B =-31 + 5j + 3k, and = 4j-2k, find C . (A-B). Need Help? E Readit .1 L-watchi
A particle with positive charge q = 1.12 10-18 C moves with a velocity v with arrow = (5î + 2ĵ − k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force on the moving particle, taking B with arrow = (5î + 2ĵ + k) T and E with arrow = (2î − ĵ − 4k) V/m. (b) What angle does the force vector make with the...
#8 8. What is the cross product of the vectors A=-31 +3j -4k and B=4i +2j+k. What is the angle between A and B? 9. What is the scalar product of the vectors A= i +3j -2k and B= i +6j + 3k. What is the angle between A and B? 10. What is the scalar product of the vectors A= -31 +3j -4k and B=41 +2j+ k. What is the angle between A and B? 11. Find the area...
For a = 2i - 3j + 4k, b = 5i + 2j + 6k, find a times b For a = -5i + 3j - 6k, b = 2i - 2j + 3k, find a times b For a = 7i - j + 3k, b = i + 3j - 4k, find a times b For a = 2i + 3j + 5k, b = 4i + 2j - 3k, find a times b
In a non-conducting region, the medium is polarized according to the vector P = 2x î + y ^ 2 ĵ - 4z k C / m2. If the relative permittivity of this medium is εr = 2.5, determine (a) the polarization volumetric charge density ρpv at (1,1,2), (b) the polarization surface charge density ρps at (1, 1, -2) on the positive face (x) of the material.
For the circuit shown in the Figurel, find 1 3k 6k R4 R1 R2 4k R5 12k R6 12k R3 2k 810 Figure 1