A marble is projected from a card stock catapult at a point 18 cm above the floor. If the marble is given an initial velocity of 8 m/s at an angle of 50° find (a) the time to the maximum height of the marble.
(b) the maximum height of the marble.
(c) the total time the marble is in the air graphically.
(d) the range of the marble.
(e) the final speed when the marble strikes the ground.

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: