g The system is released from rest with no slack in the cable and with the spring unstretched. Determine the distanced s traveled by the 30-kg cart before it comes to rest (a) if m approaches zero and (b) if m

Solution :

It is given that a system is released from rest where no slack is attached to the cable and the spring is unstretched.

Mass of the cart = 30 kg

Applying the conservation of energy of the system,

Loss of the gravitational potential energy (PE) = the energy stored in the spring.

i.e.,

       x = 1.98

Therefore the distance travelled by the 30 kg cart is 1.98 m.

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 total distance traveled by the car is

30km + 49km = 79 km .