A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 3.0 J of work is required to compress the spring by 0.12 m. If the mass is released from rest with the spring compressed, the mass experiences a maximum acceleration of 15 m/s2 Find the value of (a) the spring stiffness constant and (b) the mass.

Given Information:  

Work done = W = 3.0 J

compressed length = x = 0.12 m

acceleration = α = 15 m/s²

Required Information:  

(a) spring constant = k = ?

(b) mass = m = ?  

(a) spring constant = 416.67

(b) mass = 3.33 kg

Explanation:  

(a)

We are given a mass spring system,

We know that work done is given by

W = ½kx²

Where W is the work done, k is the spring constant and x is the compressed length of the spring.

Re-arranging the equation for spring constant k yields,

k = 2W/x²

k = 2*3/0.12²

k = 416.67

We know that force is given by

F = kx

We also know from the Newton's second law that

F = mα

equating both equations yields,

mα = kx

m = kx/α

m = (416.67*0.12)/15

m = 3.33 kg

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:

what question you dont ask a question

explanation: