Aspeed ramp at an airport is basically a large conveyor belt on which you can stand and be moved along. the belt of one ramp moves at a constant speed such that a person who stands still on it leaves the ramp 64 s after getting on. clifford is in a real hurry, however, and skips the speed ramp. starting from rest with an acceleration of 0.37 m/s2 , he covers the same distance as the ramp does, but in one-fourth the time. what is the speed at which the belt of the ramp is moving?

The belt ramp is moving at 0.047 m/s

Explanation:

Hi!

The equation for the position of an object moving in a straight line with a constant acceleration is:

x = x0 + v0 * t + 1/2 * a * t²

where:

x = position at time "t"

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

If the object moves with constant speed, then, a = 0 and x = x0 + v * t

First, let´s find the lenght of the speed ramp by calculating the distance walked by Clifford.

x = x0 + v0 * t +1/2 * a * t²

x0 = 0 placing the origin of our reference system at the begining of the ramp

v0 = 0 Clifford starts from rest

t = 64 s / 4  

a = 0.37 m/s²

Then:

x = 1/2 * 0.37 m/s² * 16 s = 3.0 m

Now that we know the lenght of the speed ramp, we can calculate the speed of the ramp which is constant:

x = x0 + v * t        x0 = 0

x = v * t

x/t = v

3.0 m / 64 s = 0.047 m/s

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:

increase masses, decrease separation