The 2.3-lb piece of putty is dropped 8.7 ft onto the 22.0-lb block initially at rest on the two springs, each with a stiffness k = 4.0 lb/in. Calculate the additional deflection δ of the springs due to the impact of the putty, which adheres to the block upon contact.

Explanation:

the putty (W = 2.3lb) strikes the block with velocity ( here h = 8.7ft):

V =

conservation of linear momentum gives (where W = 22lb):

since k = 4lb/in and there are two springs, the initial spring deflection is

δ = = 2.75in

conservation of energy gives (datum is the initial position of the block and we divide with 12 to get deflection in inches):

ΔT + ΔV + ΔV = 0

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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: