On an unknown planet, an astronaut drops an object from rest. She observes that the object falls a distance of 10 meters during a time interval of 2 seconds. What is the magnitude of the acceleration due to gravity on that planet?

The magnitude of the acceleration due to gravity is  

Explanation:

Free Fall Motion

A free-falling object falls under the sole influence of gravity of the planet and do not encounter air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value depends on the planet where the motion occurs.

The distance traveled by a dropped object is:

Where t is the time taken to fall a distance y and g is the acceleration of gravity. If we know t and y, then we can calculate the value of g by solving the above equation for g:

The astronaut drops an object from rest and observes when t=2 seconds, y=10 m, thus:

The magnitude of the acceleration due to gravity is  

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:

newton's first law of motion