Auniform solid sphere rolls down an incline. (a) what must be the incline angle (deg) if the linear acceleration of the center of the sphere is to have a magnitude of 0.13g? (b) if a frictionless block were to slide down the incline at that angle, would its acceleration magnitude be more than, less than, or equal to 0.13g?

Part a)

Part b)

acceleration would be

a = g sin10.5 = 0.18 g

so it is more than the above acceleration

Explanation:

As the sphere rolls down on the inclined plane then in that case the force equation on the sphere is given as

torque equation about the center of the sphere is given as

now we have

now we have

Part b)

acceleration of the object sliding on smooth inclined plane is given as

so this acceleration is more than the acceleration of sphere on same inclined plane

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

okay i have so many questions. but the big one here is: um wt..f is this mess? ?