Aroller coaster starts at the top of a straight track that is inclined at 30degrees with the horizontal. this causes it to accelerate at a rate of 4.9m/s^2(1/2g).

a. what is the roller coaster's speed after 3 seconds?
b. how far does it travel during that time?

Part a)

Part b)

Explanation:

Part a)

Initial speed of the roller coaster

acceleration of the roller coaster is given as

now for the speed after 3 s is given as

Part b)

Distance traveled by the roller coaster

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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