Acart of mass 6.0 kg moves with a speed of 3.0 m/s towards a second stationary cart with a mass of 3.0 kg. the carts move on a frictionless surface and when the carts collide they stick together. what is the ratio of the initial kinetic energy of the two-cart system to the final kinetic energy of the two-cart system?

a. 2
b. 1.5
c. 2.5
d. 1.25
e. 3

b

Explanation:

Given

mass of first cart

mass of second cart

velocity of first cart

conserving momentum

Initial kinetic Energy

Final Kinetic Energy

Ratio of initial Kinetic Energy to the Final Kinetic Energy

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:

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