The formulas used to analyze the horizontal and vertical motion of projectiles launched at an angle invlove and use of which functions

Explanation:

The formula to analyze motion in the vertical (or y) dimension is

which says that the motion in the y-dimension is equal to the magnitude of the A vector times the sin of the angle.

The formula to analyze motion in the horizontal (or x) dimension is

which says that the motion in the x-dimension is equal t the mignitude of the A vector times the cosine of the angle.

Many times this is used to find the upwards velocity and the horizontal velocity when an overall velocity is given with an angle of inclination.

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.

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