F~ and ∆~r are vectors. F~ = Fx ˆı + Fy ˆ + Fz kˆ where Fx = 28.3 N, Fy = 62.7 N, Fz = −71.2 N, and ∆~r = ∆x ˆı + ∆y ˆ + ∆z kˆ, where ∆x = 44.8 m, ∆y = -11.6 m, ∆z = −10.1 m. (a) What is the magnitude of F~ (N)? (b) What is the magnitude of ∆~r (m)? (c) What is the scalar product of F~ and ∆~r (J)? (d) What is the angle between F~ and ∆~r (degrees)? (e) How much work would be done if this force acted on a 30 kg space ship while it experienced a displacement of ∆~r (J)?

Ahollow metal sphere has 6 cm and 11 cm inner and outer radii, respectively. the surface charge density on the inside surface is −100nc/m2. the surface charge density on the exterior surface is:

Amira pulls a 3 pound wagon 4 feet. how much work has she done?

Electric field of the earth. the earth has a net electric charge that causes a field at points near its surface equal to 150 n> c and directed in toward the center of the earth. (a) what magnitude and sign of charge would a 60-kg human have to acquire to overcome his or her weight by the force exerted by the earth’s electric field? (b) what would be the force of repulsion between two people each with the charge calculated in part (a) and separated by a distance of 100 m? is use of the earth’s electric field a feasible means of flight? why or why not?