At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball's acceleration is 810 m/s2 and the vertical or y component of its acceleration is 910 m/s2. The ball's mass is 0.40 kg. What is the magnitude of the net force acting on the soccer ball at this instant?

487.13N

Explanation:

According to Newton's second law;

F = ma

F is the net force

m is the mass of the object

a is the acceleration

First we need to find the resultant of the acceleration

a =√810²+910²

a = √656,100+828,100

a =√1,484,200

a = 1218.28m/s²

Ball mass = 0.40kg

Next is to get the magnitude of the net force

F = 0.4 × 1218.28

F = 487.31N

Hence the magnitude of the net force acting on the soccer ball at this instant is 487.13N

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:

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