^^^^^^^^^^^^^^^^^^^^^^^^^^^ is correct
Answer:
In Motion in Two and Three Dimensions, we examined the basic concepts of circular motion. An object undergoing circular motion, like one of the race cars shown at the beginning of this chapter, must be accelerating because it is changing the direction of its velocity. We proved that this centrally directed acceleration, called centripetal acceleration, is given by the formula
\[{a}_{\text{c}}=\frac{{v}^{2}}{r}\]
centripetal acceleration always points towards the center of the circular path and velocity of object in circular motion always points towards the tangent on the the circle in this way centripetal acceleration and velocity are perpendicular to each other and the dot product of perpendicular vectors is always zero,
therefore v•a=vacosα...........(1)
here α is angle between centripetal acceleration and velocity which is 90
therfore,
From equation (1)
v.a= vacos90
v.a=vax0..............(because cos90=0)
v.a=0 m^2
centripetal acceleration vector points towards center it means it point towards inwards direction, so it lies along the radius vector,and radius vector points towards outward direction of the circle in this way centripetal acceleration and radius vector are in exact opposite direction so angle between them is 180 degree,
therefore r x a = rasin180
rxa=rax0 (because sin180=0)
rxa=0m^2/s^2 .
As we know that circumference of the sphere is given as
here we know that
now we have
PART B)
surface area of the sphere is given as
PART C)
Volume of the sphere is given as
here we have
= mass of the honeybee = 0.09 g =
= charge on the honeybee = 23 pC =
= electric field near the surface of earth = 100 N/C
= acceleration due to gravity =
= weight of the honeybee
= electric force on the honeybee
= ratio of the electric force and the weight of the honeybee