As shown in the diagram, two forces act on an object. the forces have magnitudes f1 = 5.7 n and f2 = 1.9 n. what third force will cause the object to be in equilibrium?

3.8 n at 108° counterclockwise from
f1->

6.3 n at 162° counterclockwise from
f1->

3.8 n at 162° counterclockwise from
f1->

6.3 n at 108° counterclockwise from
f1->

Second option 6.3 N at 162° counterclockwise from  

F1->

Explanation:

Observe the attached image. We must calculate the sum of all the forces in the direction x and in the direction y and equal the sum of the forces to 0.

For the address x we have:

For the address and we have:

The forces and are known

We have 2 unknowns ( and b) and we have 2 equations.

Now we clear from the second equation and introduce it into the first equation.

Then

Then we find the value of

Finally the answer is 6.3 N at 162° counterclockwise from  

F1->

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:

the results is a decrease in air temperature with an increase of altitude.

explanation: