Here's One more question ~

A crate of mass m is pulled with a force F along a fixed right angled horizontal through as in the figure. The Coefficient of kinetic friction between the crate and the trough is μ . Find the value of force F required to pull it along the trough with constant velocity.

Picture is attached in question.

Thanks for Answering ~

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F = √2 μmg

2N sin 45° = mg

F = 2μ

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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: